mirror of
https://gerrit.wikimedia.org/r/mediawiki/extensions/Math
synced 2024-12-04 12:09:04 +00:00
2762 lines
1.9 MiB
2762 lines
1.9 MiB
[
|
|
{
|
|
"tex": "e^{i \\pi} + 1 = 0\\,\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle e^{i\\pi }+1=0\\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mi>π<!-- \u03c0 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle e^{i\\pi }+1=0\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle e^{i\\pi}+1=0\\,\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mrow id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n <msup id=\"p1.1.m1.1.9.1.1\" xref=\"p1.1.m1.1.9.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">e<\/mi>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">\u03c0<\/mi>\n <\/mrow>\n <\/msup>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">1<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <eq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n <plus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.1.1.1.cmml\" xref=\"p1.1.m1.1.9.1.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <times id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\ud835\udf0b<\/ci>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">1<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle e^{i\\pi}+1=0\\,\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "e^{i \\pi} + 1 = 0\\,\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle e^{i\\pi }+1=0\\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mi>π<!-- \u03c0 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle e^{i\\pi }+1=0\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle e^{i\\pi}+1=0\\,\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mrow id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n <msup id=\"p1.1.m1.1.9.1.1\" xref=\"p1.1.m1.1.9.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">e<\/mi>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">\u03c0<\/mi>\n <\/mrow>\n <\/msup>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">1<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <eq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n <plus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.1.1.1.cmml\" xref=\"p1.1.m1.1.9.1.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <times id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\ud835\udf0b<\/ci>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">1<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle e^{i\\pi}+1=0\\,\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\definecolor{red}{RGB}{255,0,0}\\pagecolor{red}e^{i \\pi} + 1 = 0\\,\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\definecolor {red}{rgb}{1,0,0}\\pagecolor {red}e^{i\\pi }+1=0\\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mi>π<!-- \u03c0 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\definecolor {red}{rgb}{1,0,0}\\pagecolor {red}e^{i\\pi }+1=0\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\definecolor{red}{RGB}{255,0,0}\\pagecolor{red}e^{i% \\pi}+1=0\\,\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.27.cmml\">\n <mrow id=\"p1.1.m1.1.27.1\" xref=\"p1.1.m1.1.27.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.27.1.2\" xref=\"p1.1.m1.1.27.1.2.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\definecolor<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.27.1.2.1\" xref=\"p1.1.m1.1.27.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.27.1.2.1a\" xref=\"p1.1.m1.1.27.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.27.1.2.1b\" xref=\"p1.1.m1.1.27.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.27.1.2.1c\" xref=\"p1.1.m1.1.27.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.27.1.2.1d\" xref=\"p1.1.m1.1.27.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.27.1.2.1e\" xref=\"p1.1.m1.1.27.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.27.1.2.1f\" xref=\"p1.1.m1.1.27.1.2.1.cmml\">\u2062<\/mo>\n <mn id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">255<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.27.1.1.cmml\">,<\/mo>\n <mn id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">0<\/mn>\n <mo id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.27.1.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.27.1.3\" xref=\"p1.1.m1.1.27.1.3.cmml\">\n <mrow id=\"p1.1.m1.1.27.1.3.1\" xref=\"p1.1.m1.1.27.1.3.1.cmml\">\n <mn id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">0<\/mn>\n <mo id=\"p1.1.m1.1.27.1.3.1.1\" xref=\"p1.1.m1.1.27.1.3.1.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15b.cmml\">\n <mtext id=\"p1.1.m1.1.15a\" xref=\"p1.1.m1.1.15b.cmml\">\\pagecolor<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.27.1.3.1.1a\" xref=\"p1.1.m1.1.27.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.27.1.3.1.1b\" xref=\"p1.1.m1.1.27.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.27.1.3.1.1c\" xref=\"p1.1.m1.1.27.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.27.1.3.1.1d\" xref=\"p1.1.m1.1.27.1.3.1.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.27.1.3.1.2\" xref=\"p1.1.m1.1.27.1.3.1.2.cmml\">\n <mi id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">e<\/mi>\n <mrow id=\"p1.1.m1.1.20.1\" xref=\"p1.1.m1.1.20.1.cmml\">\n <mi id=\"p1.1.m1.1.20.1.1\" xref=\"p1.1.m1.1.20.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.20.1.3\" xref=\"p1.1.m1.1.20.1.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.20.1.2\" xref=\"p1.1.m1.1.20.1.2.cmml\">\u03c0<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">1<\/mn>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.27.cmml\" xref=\"p1.1.m1.1.27\">\n <eq id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\"\/>\n <list id=\"p1.1.m1.1.27.1.1.cmml\" xref=\"p1.1.m1.1.27.1\">\n <apply id=\"p1.1.m1.1.27.1.2.cmml\" xref=\"p1.1.m1.1.27.1.2\">\n <times id=\"p1.1.m1.1.27.1.2.1.cmml\" xref=\"p1.1.m1.1.27.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\definecolor<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc35<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">255<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">0<\/cn>\n <apply id=\"p1.1.m1.1.27.1.3.cmml\" xref=\"p1.1.m1.1.27.1.3\">\n <plus id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\"\/>\n <apply id=\"p1.1.m1.1.27.1.3.1.cmml\" xref=\"p1.1.m1.1.27.1.3.1\">\n <times id=\"p1.1.m1.1.27.1.3.1.1.cmml\" xref=\"p1.1.m1.1.27.1.3.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">0<\/cn>\n <ci id=\"p1.1.m1.1.15b.cmml\" xref=\"p1.1.m1.1.15\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n <mtext id=\"p1.1.m1.1.15a.cmml\" xref=\"p1.1.m1.1.15\">\\pagecolor<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">\ud835\udc51<\/ci>\n <apply id=\"p1.1.m1.1.27.1.3.1.2.cmml\" xref=\"p1.1.m1.1.27.1.3.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.1.3.1.2.1.cmml\" xref=\"p1.1.m1.1.27.1.3.1.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.20.1.cmml\" xref=\"p1.1.m1.1.20.1\">\n <times id=\"p1.1.m1.1.20.1.3.cmml\" xref=\"p1.1.m1.1.20.1.3\"\/>\n <ci id=\"p1.1.m1.1.20.1.1.cmml\" xref=\"p1.1.m1.1.20.1.1\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.20.1.2.cmml\" xref=\"p1.1.m1.1.20.1.2\">\ud835\udf0b<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">1<\/cn>\n <\/apply>\n <\/list>\n <cn type=\"integer\" id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\definecolor{red}{RGB}{255,0,0}\\pagecolor{red}e^{i%\n\\pi}+1=0\\,\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sqrt{\\pi}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\sqrt {\\pi }}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mi>π<!-- \u03c0 --><\/mi>\n <\/msqrt>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\sqrt {\\pi }}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sqrt{\\pi}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <msqrt id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\u03c0<\/mi>\n <\/msqrt>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <root id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udf0b<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sqrt{\\pi}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sqrt{\\pi}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\sqrt {\\pi }}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mi>π<!-- \u03c0 --><\/mi>\n <\/msqrt>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\sqrt {\\pi }}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sqrt{\\pi}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <msqrt id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\u03c0<\/mi>\n <\/msqrt>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <root id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udf0b<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sqrt{\\pi}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\pi",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\pi }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>π<!-- \u03c0 --><\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\pi }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\pi}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03c0<\/mi>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udf0b<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\pi}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\pi",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\pi }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>π<!-- \u03c0 --><\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\pi }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\pi}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03c0<\/mi>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udf0b<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\pi}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\text{abc}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{abc}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>abc<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{abc}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\" class=\"ltx_document\">\n<div id=\"p1\" class=\"ltx_para\">\n<p id=\"p1.1\" class=\"ltx_p\"><span id=\"p1.1.m1.1.1.1\" class=\"ltx_text ltx_markedasmath\">abc<\/span><\/p>\n<\/div>\n<\/div>"
|
|
},
|
|
{
|
|
"tex": "\\alpha\\,\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\alpha \\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>α<!-- \u03b1 --><\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\alpha \\,\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\alpha\\,\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03b1<\/mi>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udefc<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\alpha\\,\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": " f(x) = x^2\\,\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle f(x)=x^{2}\\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle f(x)=x^{2}\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle f(x)=x^{2}\\,\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mrow id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.10.1.1\" xref=\"p1.1.m1.1.10.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.10.1.2\" xref=\"p1.1.m1.1.10.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.10.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.10.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">=<\/mo>\n <msup id=\"p1.1.m1.1.10.2\" xref=\"p1.1.m1.1.10.2.cmml\">\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <eq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <apply id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">\n <times id=\"p1.1.m1.1.10.1.1.cmml\" xref=\"p1.1.m1.1.10.1.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.10.2.cmml\" xref=\"p1.1.m1.1.10.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.10.2.1.cmml\" xref=\"p1.1.m1.1.10.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle f(x)=x^{2}\\,\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sqrt{2}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\sqrt {2}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\sqrt {2}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sqrt{2}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <msqrt id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">2<\/mn>\n <\/msqrt>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <root id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">2<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sqrt{2}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sqrt{1-e^2}\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\sqrt {1-e^{2}}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mn>1<\/mn>\n <mo>−<!-- \u2212 --><\/mo>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/msqrt>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\sqrt {1-e^{2}}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sqrt{1-e^{2}}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <msqrt id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n <mn id=\"p1.1.m1.1.1.2.1\" xref=\"p1.1.m1.1.1.2.1.cmml\">1<\/mn>\n <mo id=\"p1.1.m1.1.1.2.2\" xref=\"p1.1.m1.1.1.2.2.cmml\">-<\/mo>\n <msup id=\"p1.1.m1.1.1.2.5\" xref=\"p1.1.m1.1.1.2.5.cmml\">\n <mi id=\"p1.1.m1.1.1.2.3\" xref=\"p1.1.m1.1.1.2.3.cmml\">e<\/mi>\n <mn id=\"p1.1.m1.1.1.2.4.1\" xref=\"p1.1.m1.1.1.2.4.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <\/msqrt>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <root id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n <minus id=\"p1.1.m1.1.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\">1<\/cn>\n <apply id=\"p1.1.m1.1.1.2.5.cmml\" xref=\"p1.1.m1.1.1.2.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.5.1.cmml\" xref=\"p1.1.m1.1.1.2.5\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.3\">\ud835\udc52<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.4.1.cmml\" xref=\"p1.1.m1.1.1.2.4.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sqrt{1-e^{2}}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sqrt{1-z^3}\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\sqrt {1-z^{3}}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mn>1<\/mn>\n <mo>−<!-- \u2212 --><\/mo>\n <msup>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <\/msqrt>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\sqrt {1-z^{3}}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sqrt{1-z^{3}}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <msqrt id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n <mn id=\"p1.1.m1.1.1.2.1\" xref=\"p1.1.m1.1.1.2.1.cmml\">1<\/mn>\n <mo id=\"p1.1.m1.1.1.2.2\" xref=\"p1.1.m1.1.1.2.2.cmml\">-<\/mo>\n <msup id=\"p1.1.m1.1.1.2.5\" xref=\"p1.1.m1.1.1.2.5.cmml\">\n <mi id=\"p1.1.m1.1.1.2.3\" xref=\"p1.1.m1.1.1.2.3.cmml\">z<\/mi>\n <mn id=\"p1.1.m1.1.1.2.4.1\" xref=\"p1.1.m1.1.1.2.4.1.cmml\">3<\/mn>\n <\/msup>\n <\/mrow>\n <\/msqrt>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <root id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n <minus id=\"p1.1.m1.1.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\">1<\/cn>\n <apply id=\"p1.1.m1.1.1.2.5.cmml\" xref=\"p1.1.m1.1.1.2.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.5.1.cmml\" xref=\"p1.1.m1.1.1.2.5\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.3\">\ud835\udc67<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.4.1.cmml\" xref=\"p1.1.m1.1.1.2.4.1\">3<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sqrt{1-z^{3}}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "x",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle x}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">x<\/mi>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc65<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle x}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\dot{a}, \\ddot{a}, \\acute{a}, \\grave{a} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\dot {a}},{\\ddot {a}},{\\acute {a}},{\\grave {a}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo>˙<!-- \u02d9 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo>¨<!-- \u00a8 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo>´<!-- \u00b4 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo>`<!-- ` --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\dot {a}},{\\ddot {a}},{\\acute {a}},{\\grave {a}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\dot{a},\\ddot{a},\\acute{a},\\grave{a}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\u02d9<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u00a8<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.2.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\u00b4<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <mi id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.2.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">`<\/mo>\n <\/mover>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\u02d9<\/ci>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\u00a8<\/ci>\n <ci id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\u00b4<\/ci>\n <ci id=\"p1.1.m1.1.5.2.cmml\" xref=\"p1.1.m1.1.5.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <ci id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">`<\/ci>\n <ci id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\dot{a},\\ddot{a},\\acute{a},\\grave{a}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\check{a}, \\breve{a}, \\tilde{a}, \\bar{a} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\check {a}},{\\breve {a}},{\\tilde {a}},{\\bar {a}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo stretchy=\"false\">ˇ<!-- \u02c7 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo>˘<!-- \u02d8 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo stretchy=\"false\">~<!-- ~ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo stretchy=\"false\">¯<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\check {a}},{\\breve {a}},{\\tilde {a}},{\\bar {a}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\check{a},\\breve{a},\\tilde{a},\\bar{a}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">a<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\u02c7<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u02d8<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.2.cmml\">a<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">~<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <mi id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.2.cmml\">a<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\u00af<\/mo>\n <\/mover>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\u02c7<\/ci>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\u02d8<\/ci>\n <ci id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">~<\/ci>\n <ci id=\"p1.1.m1.1.5.2.cmml\" xref=\"p1.1.m1.1.5.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <ci id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">\u00af<\/ci>\n <ci id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\check{a},\\breve{a},\\tilde{a},\\bar{a}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\hat{a}, \\widehat{a}, \\vec{a} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\hat {a}},{\\widehat {a}},{\\vec {a}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo stretchy=\"false\">^<!-- ^ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo>^<!-- ^ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo stretchy=\"false\">→<!-- \u2192 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\hat {a}},{\\widehat {a}},{\\vec {a}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\hat{a},\\widehat{a},\\vec{a}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">a<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">^<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">^<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.2.cmml\">a<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\u2192<\/mo>\n <\/mover>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">^<\/ci>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">^<\/ci>\n <ci id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\u2192<\/ci>\n <ci id=\"p1.1.m1.1.5.2.cmml\" xref=\"p1.1.m1.1.5.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\hat{a},\\widehat{a},\\vec{a}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\exp_a b = a^b, \\exp b = e^b, 10^m \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\exp _{a}b=a^{b},\\exp b=e^{b},10^{m}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>exp<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <\/msub>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>b<\/mi>\n <mo>=<\/mo>\n <msup>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>b<\/mi>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <mi>exp<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>b<\/mi>\n <mo>=<\/mo>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>b<\/mi>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mn>10<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>m<\/mi>\n <\/mrow>\n <\/msup>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\exp _{a}b=a^{b},\\exp b=e^{b},10^{m}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\exp_{a}b=a^{b},\\exp b=e^{b},10^{m}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.1.cmml\">\n <mrow id=\"p1.1.m1.1.18.2\" xref=\"p1.1.m1.1.18.2.cmml\">\n <mrow id=\"p1.1.m1.1.18.2.1\" xref=\"p1.1.m1.1.18.2.1.cmml\">\n <msub id=\"p1.1.m1.1.18.2.1.1\" xref=\"p1.1.m1.1.18.2.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">exp<\/mi>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">a<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.18.2.1a\" xref=\"p1.1.m1.1.18.2.1.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">b<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">=<\/mo>\n <msup id=\"p1.1.m1.1.18.2.2\" xref=\"p1.1.m1.1.18.2.2.cmml\">\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">b<\/mi>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.18.1a.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.18.3\" xref=\"p1.1.m1.1.18.3.cmml\">\n <mrow id=\"p1.1.m1.1.18.3.1\" xref=\"p1.1.m1.1.18.3.1.cmml\">\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">exp<\/mi>\n <mo id=\"p1.1.m1.1.18.3.1a\" xref=\"p1.1.m1.1.18.3.1.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">b<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.18.3.2\" xref=\"p1.1.m1.1.18.3.2.1.cmml\">\n <msup id=\"p1.1.m1.1.18.3.2.2\" xref=\"p1.1.m1.1.18.3.2.2.cmml\">\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">b<\/mi>\n <\/msup>\n <mo id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.18.3.2.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.18.3.2.3\" xref=\"p1.1.m1.1.18.3.2.3.cmml\">\n <msup id=\"p1.1.m1.1.18.3.2.3a\" xref=\"p1.1.m1.1.18.3.2.3.cmml\">\n <mn id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">10<\/mn>\n <mi id=\"p1.1.m1.1.16.1\" xref=\"p1.1.m1.1.16.1.cmml\">m<\/mi>\n <\/msup>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.18.1.cmml\" xref=\"p1.1.m1.1.18\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.18.1a.cmml\" xref=\"p1.1.m1.1.7\">formulae-sequence<\/csymbol>\n <apply id=\"p1.1.m1.1.18.2.cmml\" xref=\"p1.1.m1.1.18.2\">\n <eq id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <apply id=\"p1.1.m1.1.18.2.1.cmml\" xref=\"p1.1.m1.1.18.2.1\">\n <apply id=\"p1.1.m1.1.18.2.1.1.cmml\" xref=\"p1.1.m1.1.18.2.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.18.2.1.1.1.cmml\" xref=\"p1.1.m1.1.18.2.1.1\">subscript<\/csymbol>\n <exp id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc4e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.18.2.2.cmml\" xref=\"p1.1.m1.1.18.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.18.2.2.1.cmml\" xref=\"p1.1.m1.1.18.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.18.3.cmml\" xref=\"p1.1.m1.1.18.3\">\n <eq id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\"\/>\n <apply id=\"p1.1.m1.1.18.3.1.cmml\" xref=\"p1.1.m1.1.18.3.1\">\n <exp id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc4f<\/ci>\n <\/apply>\n <list id=\"p1.1.m1.1.18.3.2.1.cmml\" xref=\"p1.1.m1.1.18.3.2\">\n <apply id=\"p1.1.m1.1.18.3.2.2.cmml\" xref=\"p1.1.m1.1.18.3.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.18.3.2.2.1.cmml\" xref=\"p1.1.m1.1.18.3.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\">\ud835\udc4f<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.18.3.2.3.cmml\" xref=\"p1.1.m1.1.18.3.2.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.18.3.2.3.1.cmml\" xref=\"p1.1.m1.1.18.3.2.3\">superscript<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">10<\/cn>\n <ci id=\"p1.1.m1.1.16.1.cmml\" xref=\"p1.1.m1.1.16.1\">\ud835\udc5a<\/ci>\n <\/apply>\n <\/list>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\exp_{a}b=a^{b},\\exp b=e^{b},10^{m}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\ln c, \\lg d = \\log e, \\log_{10} f \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\ln c,\\lg d=\\log e,\\log _{10}f\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>ln<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>c<\/mi>\n <mo>,<\/mo>\n <mi>lg<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>d<\/mi>\n <mo>=<\/mo>\n <mi>log<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>e<\/mi>\n <mo>,<\/mo>\n <msub>\n <mi>log<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>10<\/mn>\n <\/mrow>\n <\/msub>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>f<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\ln c,\\lg d=\\log e,\\log _{10}f\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\ln c,\\lg d=\\log e,\\log_{10}f\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.1.cmml\">\n <mrow id=\"p1.1.m1.1.14.2\" xref=\"p1.1.m1.1.14.2.cmml\">\n <mrow id=\"p1.1.m1.1.14.2.1\" xref=\"p1.1.m1.1.14.2.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.14.2.1.2\" xref=\"p1.1.m1.1.14.2.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">ln<\/mi>\n <mo id=\"p1.1.m1.1.14.2.1.2a\" xref=\"p1.1.m1.1.14.2.1.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">c<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.14.2.1.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.14.2.1.3\" xref=\"p1.1.m1.1.14.2.1.3.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">lg<\/mi>\n <mo id=\"p1.1.m1.1.14.2.1.3a\" xref=\"p1.1.m1.1.14.2.1.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.14.2.2\" xref=\"p1.1.m1.1.14.2.2.cmml\">\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">log<\/mi>\n <mo id=\"p1.1.m1.1.14.2.2a\" xref=\"p1.1.m1.1.14.2.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">e<\/mi>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.14.1a.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.14.3\" xref=\"p1.1.m1.1.14.3.cmml\">\n <msub id=\"p1.1.m1.1.14.3.1\" xref=\"p1.1.m1.1.14.3.1.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">log<\/mi>\n <mn id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">10<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.14.3a\" xref=\"p1.1.m1.1.14.3.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mi id=\"p1.1.m1.1.12a\" xref=\"p1.1.m1.1.12.cmml\">f<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.14.1a.cmml\" xref=\"p1.1.m1.1.9\">formulae-sequence<\/csymbol>\n <apply id=\"p1.1.m1.1.14.2.cmml\" xref=\"p1.1.m1.1.14.2\">\n <eq id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <list id=\"p1.1.m1.1.14.2.1.1.cmml\" xref=\"p1.1.m1.1.14.2.1\">\n <apply id=\"p1.1.m1.1.14.2.1.2.cmml\" xref=\"p1.1.m1.1.14.2.1.2\">\n <ln id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc50<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.14.2.1.3.cmml\" xref=\"p1.1.m1.1.14.2.1.3\">\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">lg<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc51<\/ci>\n <\/apply>\n <\/list>\n <apply id=\"p1.1.m1.1.14.2.2.cmml\" xref=\"p1.1.m1.1.14.2.2\">\n <log id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc52<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.14.3.cmml\" xref=\"p1.1.m1.1.14.3\">\n <apply id=\"p1.1.m1.1.14.3.1.cmml\" xref=\"p1.1.m1.1.14.3.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.14.3.1.1.cmml\" xref=\"p1.1.m1.1.14.3.1\">subscript<\/csymbol>\n <log id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">10<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc53<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\ln c,\\lg d=\\log e,\\log_{10}f\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sin a, \\cos b, \\tan c, \\cot d, \\sec e, \\csc f\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sin a,\\cos b,\\tan c,\\cot d,\\sec e,\\csc f\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sin<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>a<\/mi>\n <mo>,<\/mo>\n <mi>cos<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>b<\/mi>\n <mo>,<\/mo>\n <mi>tan<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>c<\/mi>\n <mo>,<\/mo>\n <mi>cot<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>d<\/mi>\n <mo>,<\/mo>\n <mi>sec<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>e<\/mi>\n <mo>,<\/mo>\n <mi>csc<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>f<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sin a,\\cos b,\\tan c,\\cot d,\\sec e,\\csc f\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sin a,\\cos b,\\tan c,\\cot d,\\sec e,\\csc f\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.1.cmml\">\n <mrow id=\"p1.1.m1.1.19.2\" xref=\"p1.1.m1.1.19.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">sin<\/mi>\n <mo id=\"p1.1.m1.1.19.2a\" xref=\"p1.1.m1.1.19.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">a<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.19.3\" xref=\"p1.1.m1.1.19.3.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">cos<\/mi>\n <mo id=\"p1.1.m1.1.19.3a\" xref=\"p1.1.m1.1.19.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">b<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.19.4\" xref=\"p1.1.m1.1.19.4.cmml\">\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">tan<\/mi>\n <mo id=\"p1.1.m1.1.19.4a\" xref=\"p1.1.m1.1.19.4.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">c<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.19.5\" xref=\"p1.1.m1.1.19.5.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">cot<\/mi>\n <mo id=\"p1.1.m1.1.19.5a\" xref=\"p1.1.m1.1.19.5.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">d<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.19.6\" xref=\"p1.1.m1.1.19.6.cmml\">\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">sec<\/mi>\n <mo id=\"p1.1.m1.1.19.6a\" xref=\"p1.1.m1.1.19.6.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">e<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.19.7\" xref=\"p1.1.m1.1.19.7.cmml\">\n <mi id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">csc<\/mi>\n <mo id=\"p1.1.m1.1.19.7a\" xref=\"p1.1.m1.1.19.7.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">\n <mi id=\"p1.1.m1.1.17a\" xref=\"p1.1.m1.1.17.cmml\">f<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.19.1.cmml\" xref=\"p1.1.m1.1.19\">\n <apply id=\"p1.1.m1.1.19.2.cmml\" xref=\"p1.1.m1.1.19.2\">\n <sin id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.19.3.cmml\" xref=\"p1.1.m1.1.19.3\">\n <cos id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4f<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.19.4.cmml\" xref=\"p1.1.m1.1.19.4\">\n <tan id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc50<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.19.5.cmml\" xref=\"p1.1.m1.1.19.5\">\n <cot id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\"\/>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc51<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.19.6.cmml\" xref=\"p1.1.m1.1.19.6\">\n <sec id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\"\/>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc52<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.19.7.cmml\" xref=\"p1.1.m1.1.19.7\">\n <csc id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\"\/>\n <ci id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\ud835\udc53<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sin a,\\cos b,\\tan c,\\cot d,\\sec e,\\csc f\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\arcsin h, \\arccos i, \\arctan j \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\arcsin h,\\arccos i,\\arctan j\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>arcsin<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>h<\/mi>\n <mo>,<\/mo>\n <mi>arccos<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>i<\/mi>\n <mo>,<\/mo>\n <mi>arctan<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>j<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\arcsin h,\\arccos i,\\arctan j\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\arcsin h,\\arccos i,\\arctan j\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.1.cmml\">\n <mrow id=\"p1.1.m1.1.10.2\" xref=\"p1.1.m1.1.10.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">arcsin<\/mi>\n <mo id=\"p1.1.m1.1.10.2a\" xref=\"p1.1.m1.1.10.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">h<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.10.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.10.3\" xref=\"p1.1.m1.1.10.3.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">arccos<\/mi>\n <mo id=\"p1.1.m1.1.10.3a\" xref=\"p1.1.m1.1.10.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">i<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.10.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.10.4\" xref=\"p1.1.m1.1.10.4.cmml\">\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">arctan<\/mi>\n <mo id=\"p1.1.m1.1.10.4a\" xref=\"p1.1.m1.1.10.4.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">j<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10\">\n <apply id=\"p1.1.m1.1.10.2.cmml\" xref=\"p1.1.m1.1.10.2\">\n <arcsin id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u210e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.10.3.cmml\" xref=\"p1.1.m1.1.10.3\">\n <arccos id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc56<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.10.4.cmml\" xref=\"p1.1.m1.1.10.4\">\n <arctan id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc57<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\arcsin h,\\arccos i,\\arctan j\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sinh k, \\cosh l, \\tanh m, \\coth n \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sinh k,\\cosh l,\\tanh m,\\coth n\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sinh<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>k<\/mi>\n <mo>,<\/mo>\n <mi>cosh<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>l<\/mi>\n <mo>,<\/mo>\n <mi>tanh<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>m<\/mi>\n <mo>,<\/mo>\n <mi>coth<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>n<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sinh k,\\cosh l,\\tanh m,\\coth n\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sinh k,\\cosh l,\\tanh m,\\coth n\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.1.cmml\">\n <mrow id=\"p1.1.m1.1.13.2\" xref=\"p1.1.m1.1.13.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">sinh<\/mi>\n <mo id=\"p1.1.m1.1.13.2a\" xref=\"p1.1.m1.1.13.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">k<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.13.3\" xref=\"p1.1.m1.1.13.3.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">cosh<\/mi>\n <mo id=\"p1.1.m1.1.13.3a\" xref=\"p1.1.m1.1.13.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">l<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.13.4\" xref=\"p1.1.m1.1.13.4.cmml\">\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">tanh<\/mi>\n <mo id=\"p1.1.m1.1.13.4a\" xref=\"p1.1.m1.1.13.4.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">m<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.13.5\" xref=\"p1.1.m1.1.13.5.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">coth<\/mi>\n <mo id=\"p1.1.m1.1.13.5a\" xref=\"p1.1.m1.1.13.5.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi id=\"p1.1.m1.1.11a\" xref=\"p1.1.m1.1.11.cmml\">n<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13\">\n <apply id=\"p1.1.m1.1.13.2.cmml\" xref=\"p1.1.m1.1.13.2\">\n <sinh id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc58<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.3.cmml\" xref=\"p1.1.m1.1.13.3\">\n <cosh id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc59<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.4.cmml\" xref=\"p1.1.m1.1.13.4\">\n <tanh id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5a<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.5.cmml\" xref=\"p1.1.m1.1.13.5\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">hyperbolic-cotangent<\/csymbol>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sinh k,\\cosh l,\\tanh m,\\coth n\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\operatorname{sh}\\,k, \\operatorname{ch}\\,l, \\operatorname{th}\\,m, \\operatorname{coth}\\,n \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sh} \\,k,\\operatorname {ch} \\,l,\\operatorname {th} \\,m,\\operatorname {coth} \\,n\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sh<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>k<\/mi>\n <mo>,<\/mo>\n <mi>ch<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>l<\/mi>\n <mo>,<\/mo>\n <mi>th<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>m<\/mi>\n <mo>,<\/mo>\n <mi>coth<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>n<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sh} \\,k,\\operatorname {ch} \\,l,\\operatorname {th} \\,m,\\operatorname {coth} \\,n\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\operatorname{sh}\\,k,\\operatorname{ch}\\,l,% \\operatorname{th}\\,m,\\operatorname{coth}\\,n\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.1.cmml\">\n <mrow id=\"p1.1.m1.1.23.2\" xref=\"p1.1.m1.1.23.2.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">sh<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.23.2a\" xref=\"p1.1.m1.1.23.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">k<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.23.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.23.3\" xref=\"p1.1.m1.1.23.3.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">ch<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.23.3a\" xref=\"p1.1.m1.1.23.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">l<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.23.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.23.4\" xref=\"p1.1.m1.1.23.4.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mi id=\"p1.1.m1.1.12a\" xref=\"p1.1.m1.1.12.cmml\">th<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.23.4a\" xref=\"p1.1.m1.1.23.4.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">m<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.23.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.23.5\" xref=\"p1.1.m1.1.23.5.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">\n <mi id=\"p1.1.m1.1.19a\" xref=\"p1.1.m1.1.19.cmml\">coth<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.23.5a\" xref=\"p1.1.m1.1.23.5.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\n <mi id=\"p1.1.m1.1.21a\" xref=\"p1.1.m1.1.21.cmml\">n<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.23.1.cmml\" xref=\"p1.1.m1.1.23\">\n <apply id=\"p1.1.m1.1.23.2.cmml\" xref=\"p1.1.m1.1.23.2\">\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">sh<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc58<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.23.3.cmml\" xref=\"p1.1.m1.1.23.3\">\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">ch<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc59<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.23.4.cmml\" xref=\"p1.1.m1.1.23.4\">\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">th<\/ci>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc5a<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.23.5.cmml\" xref=\"p1.1.m1.1.23.5\">\n <ci id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">coth<\/ci>\n <ci id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\operatorname{sh}\\,k,\\operatorname{ch}\\,l,%\n\\operatorname{th}\\,m,\\operatorname{coth}\\,n\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\operatorname{argsh}\\,o, \\operatorname{argch}\\,p, \\operatorname{argth}\\,q \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {argsh} \\,o,\\operatorname {argch} \\,p,\\operatorname {argth} \\,q\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>argsh<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>o<\/mi>\n <mo>,<\/mo>\n <mi>argch<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>p<\/mi>\n <mo>,<\/mo>\n <mi>argth<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>q<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {argsh} \\,o,\\operatorname {argch} \\,p,\\operatorname {argth} \\,q\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\operatorname{argsh}\\,o,\\operatorname{argch}\\,p,% \\operatorname{argth}\\,q\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.25.1.cmml\">\n <mrow id=\"p1.1.m1.1.25.2\" xref=\"p1.1.m1.1.25.2.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5.cmml\">argsh<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.25.2a\" xref=\"p1.1.m1.1.25.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">o<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.25.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.25.3\" xref=\"p1.1.m1.1.25.3.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mi id=\"p1.1.m1.1.13a\" xref=\"p1.1.m1.1.13.cmml\">argch<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.25.3a\" xref=\"p1.1.m1.1.25.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">p<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.25.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.25.4\" xref=\"p1.1.m1.1.25.4.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\n <mi id=\"p1.1.m1.1.21a\" xref=\"p1.1.m1.1.21.cmml\">argth<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.25.4a\" xref=\"p1.1.m1.1.25.4.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">\n <mi id=\"p1.1.m1.1.23a\" xref=\"p1.1.m1.1.23.cmml\">q<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.25.1.cmml\" xref=\"p1.1.m1.1.25\">\n <apply id=\"p1.1.m1.1.25.2.cmml\" xref=\"p1.1.m1.1.25.2\">\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">argsh<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5c<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.25.3.cmml\" xref=\"p1.1.m1.1.25.3\">\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">argch<\/ci>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\ud835\udc5d<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.25.4.cmml\" xref=\"p1.1.m1.1.25.4\">\n <ci id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">argth<\/ci>\n <ci id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">\ud835\udc5e<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\operatorname{argsh}\\,o,\\operatorname{argch}\\,p,%\n\\operatorname{argth}\\,q\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sgn r, \\left\\vert s \\right\\vert \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sgn} r,\\left\\vert s\\right\\vert \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sgn<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>r<\/mi>\n <mo>,<\/mo>\n <mrow>\n <mo>|<\/mo>\n <mi>s<\/mi>\n <mo>|<\/mo>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sgn} r,\\left\\vert s\\right\\vert \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sgn r,\\left|s\\right|\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\sgn<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.8.2.1\" xref=\"p1.1.m1.1.8.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">r<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.8.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.8.3\" xref=\"p1.1.m1.1.8.3.1.cmml\">\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.8.3.1.1.cmml\">|<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">s<\/mi>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.8.3.1.1.cmml\">|<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8\">\n <apply id=\"p1.1.m1.1.8.2.cmml\" xref=\"p1.1.m1.1.8.2\">\n <times id=\"p1.1.m1.1.8.2.1.cmml\" xref=\"p1.1.m1.1.8.2.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\sgn<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc5f<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.8.3.1.cmml\" xref=\"p1.1.m1.1.8.3\">\n <abs id=\"p1.1.m1.1.8.3.1.1.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc60<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sgn r,\\left|s\\right|\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\min(x,y), \\max(x,y) \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\min(x,y),\\max(x,y)\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">min<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">max<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\min(x,y),\\max(x,y)\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\min(x,y),\\max(x,y)\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.1.cmml\">\n <mrow id=\"p1.1.m1.1.15.2.2\" xref=\"p1.1.m1.1.15.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">min<\/mi>\n <mo id=\"p1.1.m1.1.15.2.2a\" xref=\"p1.1.m1.1.15.2.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.15.2.2.1\" xref=\"p1.1.m1.1.15.2.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.15.2.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.15.2.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">y<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.15.2.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.15.3.2\" xref=\"p1.1.m1.1.15.3.1.cmml\">\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">max<\/mi>\n <mo id=\"p1.1.m1.1.15.3.2a\" xref=\"p1.1.m1.1.15.3.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.15.3.2.1\" xref=\"p1.1.m1.1.15.3.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.15.3.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.15.3.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">y<\/mi>\n <mo rspace=\"0.8pt\" stretchy=\"false\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.15.3.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15\">\n <apply id=\"p1.1.m1.1.15.2.1.cmml\" xref=\"p1.1.m1.1.15.2.2\">\n <min id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc66<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.3.1.cmml\" xref=\"p1.1.m1.1.15.3.2\">\n <max id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc66<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\min(x,y),\\max(x,y)\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\min x, \\max y, \\inf s, \\sup t \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\min x,\\max y,\\inf s,\\sup t\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">min<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">max<\/mo>\n <mi>y<\/mi>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">inf<\/mo>\n <mi>s<\/mi>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">sup<\/mo>\n <mi>t<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\min x,\\max y,\\inf s,\\sup t\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\min x,\\max y,\\inf s,\\sup t\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.1.cmml\">\n <mrow id=\"p1.1.m1.1.13.2\" xref=\"p1.1.m1.1.13.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">min<\/mi>\n <mo id=\"p1.1.m1.1.13.2a\" xref=\"p1.1.m1.1.13.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">x<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.13.3\" xref=\"p1.1.m1.1.13.3.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">max<\/mi>\n <mo id=\"p1.1.m1.1.13.3a\" xref=\"p1.1.m1.1.13.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">y<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.13.4\" xref=\"p1.1.m1.1.13.4.cmml\">\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">inf<\/mo>\n <mo id=\"p1.1.m1.1.13.4a\" xref=\"p1.1.m1.1.13.4.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">s<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.13.5\" xref=\"p1.1.m1.1.13.5.cmml\">\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">sup<\/mo>\n <mo id=\"p1.1.m1.1.13.5a\" xref=\"p1.1.m1.1.13.5.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi id=\"p1.1.m1.1.11a\" xref=\"p1.1.m1.1.11.cmml\">t<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13\">\n <apply id=\"p1.1.m1.1.13.2.cmml\" xref=\"p1.1.m1.1.13.2\">\n <min id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.3.cmml\" xref=\"p1.1.m1.1.13.3\">\n <max id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc66<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.4.cmml\" xref=\"p1.1.m1.1.13.4\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">infimum<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc60<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.5.cmml\" xref=\"p1.1.m1.1.13.5\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">supremum<\/csymbol>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc61<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\min x,\\max y,\\inf s,\\sup t\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\lim u, \\liminf v, \\limsup w \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\lim u,\\liminf v,\\limsup w\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">lim<\/mo>\n <mi>u<\/mi>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">lim inf<\/mo>\n <mi>v<\/mi>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">lim sup<\/mo>\n <mi>w<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\lim u,\\liminf v,\\limsup w\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\lim u,\\liminf v,\\limsup w\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.1.cmml\">\n <mrow id=\"p1.1.m1.1.10.2\" xref=\"p1.1.m1.1.10.2.cmml\">\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">lim<\/mo>\n <mo id=\"p1.1.m1.1.10.2a\" xref=\"p1.1.m1.1.10.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">u<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.10.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.10.3\" xref=\"p1.1.m1.1.10.3.cmml\">\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">lim inf<\/mo>\n <mo id=\"p1.1.m1.1.10.3a\" xref=\"p1.1.m1.1.10.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">v<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.10.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.10.4\" xref=\"p1.1.m1.1.10.4.cmml\">\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">lim sup<\/mo>\n <mo id=\"p1.1.m1.1.10.4a\" xref=\"p1.1.m1.1.10.4.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">w<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10\">\n <apply id=\"p1.1.m1.1.10.2.cmml\" xref=\"p1.1.m1.1.10.2\">\n <limit id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc62<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.10.3.cmml\" xref=\"p1.1.m1.1.10.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">limit-infimum<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc63<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.10.4.cmml\" xref=\"p1.1.m1.1.10.4\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">limit-supremum<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc64<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\lim u,\\liminf v,\\limsup w\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\dim p, \\deg q, \\det m, \\ker\\phi \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\dim p,\\deg q,\\det m,\\ker \\phi \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>dim<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>p<\/mi>\n <mo>,<\/mo>\n <mi>deg<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>q<\/mi>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">det<\/mo>\n <mi>m<\/mi>\n <mo>,<\/mo>\n <mi>ker<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>ϕ<!-- \u03d5 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\dim p,\\deg q,\\det m,\\ker \\phi \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\dim p,\\deg q,\\det m,\\ker\\phi\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.1.cmml\">\n <mrow id=\"p1.1.m1.1.13.2\" xref=\"p1.1.m1.1.13.2.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">dim<\/mo>\n <mo id=\"p1.1.m1.1.13.2a\" xref=\"p1.1.m1.1.13.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">p<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.13.3\" xref=\"p1.1.m1.1.13.3.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">deg<\/mi>\n <mo id=\"p1.1.m1.1.13.3a\" xref=\"p1.1.m1.1.13.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">q<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.13.4\" xref=\"p1.1.m1.1.13.4.cmml\">\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">det<\/mo>\n <mo id=\"p1.1.m1.1.13.4a\" xref=\"p1.1.m1.1.13.4.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">m<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.13.5\" xref=\"p1.1.m1.1.13.5.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">ker<\/mi>\n <mo id=\"p1.1.m1.1.13.5a\" xref=\"p1.1.m1.1.13.5.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi id=\"p1.1.m1.1.11a\" xref=\"p1.1.m1.1.11.cmml\">\u03d5<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13\">\n <apply id=\"p1.1.m1.1.13.2.cmml\" xref=\"p1.1.m1.1.13.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">dimension<\/csymbol>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc5d<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.3.cmml\" xref=\"p1.1.m1.1.13.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">degree<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.4.cmml\" xref=\"p1.1.m1.1.13.4\">\n <determinant id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5a<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.5.cmml\" xref=\"p1.1.m1.1.13.5\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">kernel<\/csymbol>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">italic-\u03d5<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\dim p,\\deg q,\\det m,\\ker\\phi\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Pr j, \\hom l, \\lVert z \\rVert, \\arg z \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Pr j,\\hom l,\\lVert z\\rVert ,\\arg z\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">Pr<\/mo>\n <mi>j<\/mi>\n <mo>,<\/mo>\n <mi>hom<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>l<\/mi>\n <mo>,<\/mo>\n <mo fence=\"false\" stretchy=\"false\">‖<!-- \u2016 --><\/mo>\n <mi>z<\/mi>\n <mo fence=\"false\" stretchy=\"false\">‖<!-- \u2016 --><\/mo>\n <mo>,<\/mo>\n <mi>arg<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>z<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Pr j,\\hom l,\\lVert z\\rVert ,\\arg z\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Pr j,\\hom l,\\lVert z\\rVert,\\arg z\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.1.cmml\">\n <mrow id=\"p1.1.m1.1.14.2\" xref=\"p1.1.m1.1.14.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">Pr<\/mi>\n <mo id=\"p1.1.m1.1.14.2a\" xref=\"p1.1.m1.1.14.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">j<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.14.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.14.3\" xref=\"p1.1.m1.1.14.3.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">hom<\/mi>\n <mo id=\"p1.1.m1.1.14.3a\" xref=\"p1.1.m1.1.14.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">l<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.14.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.14.4\" xref=\"p1.1.m1.1.14.4.1.cmml\">\n <mo fence=\"true\" stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.14.4.1.1.cmml\">\u2225<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">z<\/mi>\n <mo fence=\"true\" stretchy=\"false\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.14.4.1.1.cmml\">\u2225<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.14.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.14.5\" xref=\"p1.1.m1.1.14.5.cmml\">\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">arg<\/mi>\n <mo id=\"p1.1.m1.1.14.5a\" xref=\"p1.1.m1.1.14.5.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mi id=\"p1.1.m1.1.12a\" xref=\"p1.1.m1.1.12.cmml\">z<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14\">\n <apply id=\"p1.1.m1.1.14.2.cmml\" xref=\"p1.1.m1.1.14.2\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">Pr<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc57<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.14.3.cmml\" xref=\"p1.1.m1.1.14.3\">\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">hom<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc59<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.14.4.1.cmml\" xref=\"p1.1.m1.1.14.4\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.14.4.1.1.cmml\" xref=\"p1.1.m1.1.7\">norm<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc67<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.14.5.cmml\" xref=\"p1.1.m1.1.14.5\">\n <arg id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\"\/>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc67<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Pr j,\\hom l,\\lVert z\\rVert,\\arg z\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "dt, \\operatorname{d}\\!t, \\partial t, \\nabla\\psi\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle dt,\\operatorname {d} \\!t,\\partial t,\\nabla \\psi \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>d<\/mi>\n <mi>t<\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">d<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <mi>t<\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>t<\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">∇<!-- \u2207 --><\/mi>\n <mi>ψ<!-- \u03c8 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle dt,\\operatorname {d} \\!t,\\partial t,\\nabla \\psi \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle dt,\\operatorname{d}\\!t,\\partial t,\\nabla\\psi\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.1.cmml\">\n <mrow id=\"p1.1.m1.1.14.2\" xref=\"p1.1.m1.1.14.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.14.2.1\" xref=\"p1.1.m1.1.14.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">t<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.14.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.14.3\" xref=\"p1.1.m1.1.14.3.cmml\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">d<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.14.3a\" xref=\"p1.1.m1.1.14.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">t<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.14.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.14.4\" xref=\"p1.1.m1.1.14.4.cmml\">\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.14.4a\" xref=\"p1.1.m1.1.14.4.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">t<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.14.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.14.5\" xref=\"p1.1.m1.1.14.5.cmml\">\n <mo id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\u2207<\/mo>\n <mo id=\"p1.1.m1.1.14.5a\" xref=\"p1.1.m1.1.14.5.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mi id=\"p1.1.m1.1.12a\" xref=\"p1.1.m1.1.12.cmml\">\u03c8<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14\">\n <apply id=\"p1.1.m1.1.14.2.cmml\" xref=\"p1.1.m1.1.14.2\">\n <times id=\"p1.1.m1.1.14.2.1.cmml\" xref=\"p1.1.m1.1.14.2.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc61<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.14.3.cmml\" xref=\"p1.1.m1.1.14.3\">\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">d<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc61<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.14.4.cmml\" xref=\"p1.1.m1.1.14.4\">\n <partialdiff id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc61<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.14.5.cmml\" xref=\"p1.1.m1.1.14.5\">\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\u2207<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udf13<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle dt,\\operatorname{d}\\!t,\\partial t,\\nabla\\psi\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "dy\/dx, \\operatorname{d}\\!y\/\\operatorname{d}\\!x, {dy \\over dx}, {\\operatorname{d}\\!y\\over\\operatorname{d}\\!x}, {\\partial^2\\over\\partial x_1\\partial x_2}y \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle dy\/dx,\\operatorname {d} \\!y\/\\operatorname {d} \\!x,{dy \\over dx},{\\operatorname {d} \\!y \\over \\operatorname {d} \\!x},{\\partial ^{2} \\over \\partial x_{1}\\partial x_{2}}y\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>d<\/mi>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">d<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mi mathvariant=\"normal\">d<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <\/mrow>\n <mrow>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi mathvariant=\"normal\">d<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <mi>y<\/mi>\n <\/mrow>\n <mrow>\n <mi mathvariant=\"normal\">d<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <mi>x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <msup>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mrow>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mi>y<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle dy\/dx,\\operatorname {d} \\!y\/\\operatorname {d} \\!x,{dy \\over dx},{\\operatorname {d} \\!y \\over \\operatorname {d} \\!x},{\\partial ^{2} \\over \\partial x_{1}\\partial x_{2}}y\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle dy\/dx,\\operatorname{d}\\!y\/\\operatorname{d}\\!x,{dy% \\over dx},{\\operatorname{d}\\!y\\over\\operatorname{d}\\!x},{\\partial^{2}\\over% \\partial x_{1}\\partial x_{2}}y\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.1.cmml\">\n <mrow id=\"p1.1.m1.1.22.2\" xref=\"p1.1.m1.1.22.2.cmml\">\n <mrow id=\"p1.1.m1.1.22.2.2\" xref=\"p1.1.m1.1.22.2.2.cmml\">\n <mrow id=\"p1.1.m1.1.22.2.2.1\" xref=\"p1.1.m1.1.22.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.22.2.2.1.1\" xref=\"p1.1.m1.1.22.2.2.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">y<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\/<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">d<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.22.2.1\" xref=\"p1.1.m1.1.22.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">x<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.22.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.22.3\" xref=\"p1.1.m1.1.22.3.cmml\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">d<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.22.3a\" xref=\"p1.1.m1.1.22.3.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.22.3.1\" xref=\"p1.1.m1.1.22.3.1.cmml\">\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\/<\/mo>\n <mrow id=\"p1.1.m1.1.22.3.1.1\" xref=\"p1.1.m1.1.22.3.1.1.cmml\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.11a\" xref=\"p1.1.m1.1.11.cmml\">d<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.22.3.1.1a\" xref=\"p1.1.m1.1.22.3.1.1.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">x<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.22.1.cmml\">,<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n <mfrac id=\"p1.1.m1.1.15a\" xref=\"p1.1.m1.1.15.cmml\">\n <mrow id=\"p1.1.m1.1.15.2\" xref=\"p1.1.m1.1.15.2.cmml\">\n <mi id=\"p1.1.m1.1.15.2.1\" xref=\"p1.1.m1.1.15.2.1.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.15.2.3\" xref=\"p1.1.m1.1.15.2.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.15.2.2\" xref=\"p1.1.m1.1.15.2.2.cmml\">y<\/mi>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.15.3\" xref=\"p1.1.m1.1.15.3.cmml\">\n <mi id=\"p1.1.m1.1.15.3.1\" xref=\"p1.1.m1.1.15.3.1.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.15.3.3\" xref=\"p1.1.m1.1.15.3.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.15.3.2\" xref=\"p1.1.m1.1.15.3.2.cmml\">x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.22.1.cmml\">,<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">\n <mfrac id=\"p1.1.m1.1.17a\" xref=\"p1.1.m1.1.17.cmml\">\n <mrow id=\"p1.1.m1.1.17.2\" xref=\"p1.1.m1.1.17.2.cmml\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.17.2.1\" xref=\"p1.1.m1.1.17.2.1.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.17.2.1a\" xref=\"p1.1.m1.1.17.2.1.cmml\">d<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.17.2a\" xref=\"p1.1.m1.1.17.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.17.2.3\" xref=\"p1.1.m1.1.17.2.3.cmml\">y<\/mi>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.17.3\" xref=\"p1.1.m1.1.17.3.cmml\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.17.3.1\" xref=\"p1.1.m1.1.17.3.1.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.17.3.1a\" xref=\"p1.1.m1.1.17.3.1.cmml\">d<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.17.3a\" xref=\"p1.1.m1.1.17.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.17.3.3\" xref=\"p1.1.m1.1.17.3.3.cmml\">x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.22.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.22.4\" xref=\"p1.1.m1.1.22.4.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">\n <mfrac id=\"p1.1.m1.1.19a\" xref=\"p1.1.m1.1.19.cmml\">\n <msup id=\"p1.1.m1.1.19.2\" xref=\"p1.1.m1.1.19.2.cmml\">\n <mo id=\"p1.1.m1.1.19.2.1\" xref=\"p1.1.m1.1.19.2.1.cmml\">\u2202<\/mo>\n <mn id=\"p1.1.m1.1.19.2.2.1\" xref=\"p1.1.m1.1.19.2.2.1.cmml\">2<\/mn>\n <\/msup>\n <mrow id=\"p1.1.m1.1.19.3\" xref=\"p1.1.m1.1.19.3.cmml\">\n <mrow id=\"p1.1.m1.1.19.3.8\" xref=\"p1.1.m1.1.19.3.8.cmml\">\n <mo id=\"p1.1.m1.1.19.3.1\" xref=\"p1.1.m1.1.19.3.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.19.3.8a\" xref=\"p1.1.m1.1.19.3.8.cmml\">\u2061<\/mo>\n <msub id=\"p1.1.m1.1.19.3.8.1\" xref=\"p1.1.m1.1.19.3.8.1.cmml\">\n <mi id=\"p1.1.m1.1.19.3.2\" xref=\"p1.1.m1.1.19.3.2.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.19.3.3.1\" xref=\"p1.1.m1.1.19.3.3.1.cmml\">1<\/mn>\n <\/msub>\n <\/mrow>\n <mo id=\"p1.1.m1.1.19.3.7\" xref=\"p1.1.m1.1.19.3.7.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.19.3.9\" xref=\"p1.1.m1.1.19.3.9.cmml\">\n <mo id=\"p1.1.m1.1.19.3.4\" xref=\"p1.1.m1.1.19.3.4.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.19.3.9a\" xref=\"p1.1.m1.1.19.3.9.cmml\">\u2061<\/mo>\n <msub id=\"p1.1.m1.1.19.3.9.1\" xref=\"p1.1.m1.1.19.3.9.1.cmml\">\n <mi id=\"p1.1.m1.1.19.3.5\" xref=\"p1.1.m1.1.19.3.5.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.19.3.6.1\" xref=\"p1.1.m1.1.19.3.6.1.cmml\">2<\/mn>\n <\/msub>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.22.4.1\" xref=\"p1.1.m1.1.22.4.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">\n <mi id=\"p1.1.m1.1.20a\" xref=\"p1.1.m1.1.20.cmml\">y<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.22.1.cmml\" xref=\"p1.1.m1.1.22\">\n <apply id=\"p1.1.m1.1.22.2.cmml\" xref=\"p1.1.m1.1.22.2\">\n <times id=\"p1.1.m1.1.22.2.1.cmml\" xref=\"p1.1.m1.1.22.2.1\"\/>\n <apply id=\"p1.1.m1.1.22.2.2.cmml\" xref=\"p1.1.m1.1.22.2.2\">\n <divide id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.22.2.2.1.cmml\" xref=\"p1.1.m1.1.22.2.2.1\">\n <times id=\"p1.1.m1.1.22.2.2.1.1.cmml\" xref=\"p1.1.m1.1.22.2.2.1.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc66<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc51<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.22.3.cmml\" xref=\"p1.1.m1.1.22.3\">\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">d<\/ci>\n <apply id=\"p1.1.m1.1.22.3.1.cmml\" xref=\"p1.1.m1.1.22.3.1\">\n <divide id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\"\/>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc66<\/ci>\n <apply id=\"p1.1.m1.1.22.3.1.1.cmml\" xref=\"p1.1.m1.1.22.3.1.1\">\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">d<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n <divide id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15\"\/>\n <apply id=\"p1.1.m1.1.15.2.cmml\" xref=\"p1.1.m1.1.15.2\">\n <times id=\"p1.1.m1.1.15.2.3.cmml\" xref=\"p1.1.m1.1.15.2.3\"\/>\n <ci id=\"p1.1.m1.1.15.2.1.cmml\" xref=\"p1.1.m1.1.15.2.1\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.15.2.2.cmml\" xref=\"p1.1.m1.1.15.2.2\">\ud835\udc66<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.3.cmml\" xref=\"p1.1.m1.1.15.3\">\n <times id=\"p1.1.m1.1.15.3.3.cmml\" xref=\"p1.1.m1.1.15.3.3\"\/>\n <ci id=\"p1.1.m1.1.15.3.1.cmml\" xref=\"p1.1.m1.1.15.3.1\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.15.3.2.cmml\" xref=\"p1.1.m1.1.15.3.2\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\n <divide id=\"p1.1.m1.1.17.1.cmml\" xref=\"p1.1.m1.1.17\"\/>\n <apply id=\"p1.1.m1.1.17.2.cmml\" xref=\"p1.1.m1.1.17.2\">\n <ci id=\"p1.1.m1.1.17.2.1.cmml\" xref=\"p1.1.m1.1.17.2.1\">d<\/ci>\n <ci id=\"p1.1.m1.1.17.2.3.cmml\" xref=\"p1.1.m1.1.17.2.3\">\ud835\udc66<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.17.3.cmml\" xref=\"p1.1.m1.1.17.3\">\n <ci id=\"p1.1.m1.1.17.3.1.cmml\" xref=\"p1.1.m1.1.17.3.1\">d<\/ci>\n <ci id=\"p1.1.m1.1.17.3.3.cmml\" xref=\"p1.1.m1.1.17.3.3\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.22.4.cmml\" xref=\"p1.1.m1.1.22.4\">\n <times id=\"p1.1.m1.1.22.4.1.cmml\" xref=\"p1.1.m1.1.22.4.1\"\/>\n <apply id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">\n <divide id=\"p1.1.m1.1.19.1.cmml\" xref=\"p1.1.m1.1.19\"\/>\n <apply id=\"p1.1.m1.1.19.2.cmml\" xref=\"p1.1.m1.1.19.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.19.2.3.cmml\" xref=\"p1.1.m1.1.19.2\">superscript<\/csymbol>\n <partialdiff id=\"p1.1.m1.1.19.2.1.cmml\" xref=\"p1.1.m1.1.19.2.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.2.2.1.cmml\" xref=\"p1.1.m1.1.19.2.2.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.19.3.cmml\" xref=\"p1.1.m1.1.19.3\">\n <times id=\"p1.1.m1.1.19.3.7.cmml\" xref=\"p1.1.m1.1.19.3.7\"\/>\n <apply id=\"p1.1.m1.1.19.3.8.cmml\" xref=\"p1.1.m1.1.19.3.8\">\n <partialdiff id=\"p1.1.m1.1.19.3.1.cmml\" xref=\"p1.1.m1.1.19.3.1\"\/>\n <apply id=\"p1.1.m1.1.19.3.8.1.cmml\" xref=\"p1.1.m1.1.19.3.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.19.3.8.1.1.cmml\" xref=\"p1.1.m1.1.19.3.8.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.19.3.2.cmml\" xref=\"p1.1.m1.1.19.3.2\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.3.3.1.cmml\" xref=\"p1.1.m1.1.19.3.3.1\">1<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.19.3.9.cmml\" xref=\"p1.1.m1.1.19.3.9\">\n <partialdiff id=\"p1.1.m1.1.19.3.4.cmml\" xref=\"p1.1.m1.1.19.3.4\"\/>\n <apply id=\"p1.1.m1.1.19.3.9.1.cmml\" xref=\"p1.1.m1.1.19.3.9.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.19.3.9.1.1.cmml\" xref=\"p1.1.m1.1.19.3.9.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.19.3.5.cmml\" xref=\"p1.1.m1.1.19.3.5\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.3.6.1.cmml\" xref=\"p1.1.m1.1.19.3.6.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">\ud835\udc66<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle dy\/dx,\\operatorname{d}\\!y\/\\operatorname{d}\\!x,{dy%\n\\over dx},{\\operatorname{d}\\!y\\over\\operatorname{d}\\!x},{\\partial^{2}\\over%\n\\partial x_{1}\\partial x_{2}}y\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\prime, \\backprime, f^\\prime, f', f'', f^{(3)} \\!, \\dot y, \\ddot y",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\prime ,\\backprime ,f^{\\prime },f',f'',f^{(3)}\\!,{\\dot {y}},{\\ddot {y}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi class=\"MJX-variant\" mathvariant=\"normal\">′<!-- \u2032 --><\/mi>\n <mo>,<\/mo>\n <mi class=\"MJX-variant\">‵<!-- \u2035 --><\/mi>\n <mo>,<\/mo>\n <msup>\n <mi>f<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-variant\" mathvariant=\"normal\">′<!-- \u2032 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>f<\/mi>\n <mo>′<\/mo>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>f<\/mi>\n <mo>″<\/mo>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>f<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">(<\/mo>\n <mn>3<\/mn>\n <mo stretchy=\"false\">)<\/mo>\n <\/mrow>\n <\/msup>\n <mspace width=\"negativethinmathspace\" \/>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>y<\/mi>\n <mo>˙<!-- \u02d9 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>y<\/mi>\n <mo>¨<!-- \u00a8 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\prime ,\\backprime ,f^{\\prime },f',f'',f^{(3)}\\!,{\\dot {y}},{\\ddot {y}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\prime,\\backprime,f^{\\prime},f^{\\prime},f^{\\prime% \\prime},f^{(3)}\\!,\\dot{y},\\ddot{y}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2032<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2035<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">,<\/mo>\n <msup id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2032<\/mo>\n <\/msup>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">,<\/mo>\n <msup id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2032<\/mo>\n <\/msup>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">,<\/mo>\n <msup id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2032\u2032<\/mo>\n <\/msup>\n <mo id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">\n <msup id=\"p1.1.m1.1.24a\" xref=\"p1.1.m1.1.24.cmml\">\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">f<\/mi>\n <mrow id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.24.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.15.1.1\" xref=\"p1.1.m1.1.24.cmml\">(<\/mo>\n <mn id=\"p1.1.m1.1.15.1.2\" xref=\"p1.1.m1.1.15.1.2.cmml\">3<\/mn>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.15.1.3\" xref=\"p1.1.m1.1.24.cmml\">)<\/mo>\n <\/mrow>\n <\/msup>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">,<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">\n <mi id=\"p1.1.m1.1.18.2\" xref=\"p1.1.m1.1.18.2.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.18.1\" xref=\"p1.1.m1.1.18.1.cmml\">\u02d9<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">,<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">\n <mi id=\"p1.1.m1.1.20.2\" xref=\"p1.1.m1.1.20.2.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.20.1\" xref=\"p1.1.m1.1.20.1.cmml\">\u00a8<\/mo>\n <\/mover>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2032<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">,<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2035<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">,<\/ci>\n <apply id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.cmml\" xref=\"p1.1.m1.1.21\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\u2032<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">,<\/ci>\n <apply id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.22.1.cmml\" xref=\"p1.1.m1.1.22\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\u2032<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">,<\/ci>\n <apply id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.23.1.cmml\" xref=\"p1.1.m1.1.23\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\">\u2032\u2032<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">,<\/ci>\n <apply id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.24.1.cmml\" xref=\"p1.1.m1.1.24\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc53<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.15.1.2.cmml\" xref=\"p1.1.m1.1.15.1.2\">3<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">,<\/ci>\n <apply id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">\n <ci id=\"p1.1.m1.1.18.1.cmml\" xref=\"p1.1.m1.1.18.1\">\u02d9<\/ci>\n <ci id=\"p1.1.m1.1.18.2.cmml\" xref=\"p1.1.m1.1.18.2\">\ud835\udc66<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">,<\/ci>\n <apply id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">\n <ci id=\"p1.1.m1.1.20.1.cmml\" xref=\"p1.1.m1.1.20.1\">\u00a8<\/ci>\n <ci id=\"p1.1.m1.1.20.2.cmml\" xref=\"p1.1.m1.1.20.2\">\ud835\udc66<\/ci>\n <\/apply>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\prime,\\backprime,f^{\\prime},f^{\\prime},f^{\\prime%\n\\prime},f^{(3)}\\!,\\dot{y},\\ddot{y}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\infty, \\aleph, \\complement, \\backepsilon, \\eth, \\Finv, \\hbar \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\infty ,\\aleph ,\\complement ,\\backepsilon ,\\eth ,\\Finv ,\\hbar \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">ℵ<!-- \u2135 --><\/mi>\n <mo>,<\/mo>\n <mi>∁<!-- \u2201 --><\/mi>\n <mo>,<\/mo>\n <mo>∍<!-- \u220d --><\/mo>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">ð<!-- \u00f0 --><\/mi>\n <mo>,<\/mo>\n <mi>Ⅎ<!-- \u2132 --><\/mi>\n <mo>,<\/mo>\n <mi class=\"MJX-variant\">ℏ<!-- \u210f --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\infty ,\\aleph ,\\complement ,\\backepsilon ,\\eth ,\\Finv ,\\hbar \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\infty,\\aleph,\\complement,\\backepsilon,\\eth,\\Finv,% \\hbar\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.1.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u221e<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2135<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2201<\/mi>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mo mathvariant=\"italic\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u03f6<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u00f0<\/mi>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\u2132<\/mi>\n <mo id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.13a\" xref=\"p1.1.m1.1.13.cmml\">\u210f<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15\">\n <infinity id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2135<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">complement<\/csymbol>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">italic-\u03f6<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">italic-\u00f0<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">italic-\u2132<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">Planck-constant-over-2-pi<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\infty,\\aleph,\\complement,\\backepsilon,\\eth,\\Finv,%\n\\hbar\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Im, \\imath, \\jmath, \\Bbbk, \\ell, \\mho, \\wp, \\Re, \\circledS \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Im ,\\imath ,\\jmath ,\\Bbbk ,\\ell ,\\mho ,\\wp ,\\Re ,\\circledS \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">ℑ<!-- \u2111 --><\/mi>\n <mo>,<\/mo>\n <mi>ı<!-- \u0131 --><\/mi>\n <mo>,<\/mo>\n <mi>ȷ<!-- \u0237 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"double-struck\">k<!-- k --><\/mi>\n <mo>,<\/mo>\n <mi>ℓ<!-- \u2113 --><\/mi>\n <mo>,<\/mo>\n <mi>℧<!-- \u2127 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">℘<!-- \u2118 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">ℜ<!-- \u211c --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">Ⓢ<!-- \u24c8 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Im ,\\imath ,\\jmath ,\\Bbbk ,\\ell ,\\mho ,\\wp ,\\Re ,\\circledS \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Im,\\imath,\\jmath,\\Bbbk,\\ell,\\mho,\\wp,\\Re,% \\circledS\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.1.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2111<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u0131<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u0237<\/mi>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udd5c<\/mi>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u2113<\/mi>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\u2127<\/mi>\n <mo id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\u2118<\/mi>\n <mo id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\u211c<\/mi>\n <mo id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.17a\" xref=\"p1.1.m1.1.17.cmml\">\u24c8<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.19.1.cmml\" xref=\"p1.1.m1.1.19\">\n <imaginary id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">italic-\u0131<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">italic-\u0237<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udd5c<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u2113<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\u2127<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">Weierstrass-p<\/csymbol>\n <real id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\"\/>\n <ci id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\u24c8<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Im,\\imath,\\jmath,\\Bbbk,\\ell,\\mho,\\wp,\\Re,%\n\\circledS\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "s_k \\equiv 0 \\pmod{m} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle s_{k}\\equiv 0{\\pmod {m}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>s<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>k<\/mi>\n <\/mrow>\n <\/msub>\n <mo>≡<!-- \u2261 --><\/mo>\n <mn>0<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mspace width=\"1em\" \/>\n <mo stretchy=\"false\">(<\/mo>\n <mi>mod<\/mi>\n <mspace width=\"0.333em\" \/>\n <mi>m<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle s_{k}\\equiv 0{\\pmod {m}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle s_{k}\\equiv 0\\pmod{m}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <msub id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">s<\/mi>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">k<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2261<\/mo>\n <mrow id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.2.cmml\">\n <mn id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">0<\/mn>\n <mspace width=\"veryverythickmathspace\" id=\"p1.1.m1.1.7.2a\" xref=\"p1.1.m1.1.7.2.cmml\"\/>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mrow id=\"p1.1.m1.1.5.10\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo lspace=\"8.1pt\" stretchy=\"false\" id=\"p1.1.m1.1.5.4\" xref=\"p1.1.m1.1.5.1.1.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.5.10.2\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.5.7\" xref=\"p1.1.m1.1.5.1.1.cmml\">mod<\/mo>\n <mi id=\"p1.1.m1.1.5.8\" xref=\"p1.1.m1.1.5.8.cmml\">m<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5.9\" xref=\"p1.1.m1.1.5.1.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <equivalent id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.1.1.cmml\" xref=\"p1.1.m1.1.7.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc60<\/ci>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc58<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.2.1.cmml\" xref=\"p1.1.m1.1.7.2\">annotated<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">0<\/cn>\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.4\">pmod<\/ci>\n <ci id=\"p1.1.m1.1.5.8.cmml\" xref=\"p1.1.m1.1.5.8\">\ud835\udc5a<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle s_{k}\\equiv 0\\pmod{m}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "a\\,\\bmod\\,b \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\,{\\bmod {\\,}}b\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo lspace=\"thickmathspace\" rspace=\"thickmathspace\">mod<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mspace width=\"thinmathspace\" \/>\n <\/mrow>\n <\/mrow>\n <mi>b<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\,{\\bmod {\\,}}b\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle a\\,\\bmod\\,b\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <\/mpadded>\n <mo lspace=\"2.5pt\" rspace=\"4.2pt\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">mod<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5.cmml\">b<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">modulo<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle a\\,\\bmod\\,b\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\gcd(m, n), \\operatorname{lcm}(m, n)",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\gcd(m,n),\\operatorname {lcm} (m,n)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">gcd<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>m<\/mi>\n <mo>,<\/mo>\n <mi>n<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>,<\/mo>\n <mi>lcm<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>m<\/mi>\n <mo>,<\/mo>\n <mi>n<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\gcd(m,n),\\operatorname {lcm} (m,n)}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\gcd(m,n),\\operatorname{lcm}(m,n)}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.1.cmml\">\n <mrow id=\"p1.1.m1.1.16.2.2\" xref=\"p1.1.m1.1.16.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">gcd<\/mi>\n <mo id=\"p1.1.m1.1.16.2.2a\" xref=\"p1.1.m1.1.16.2.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.16.2.2.1\" xref=\"p1.1.m1.1.16.2.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.16.2.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">m<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.16.2.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">n<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.16.2.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.16.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.16.3.2\" xref=\"p1.1.m1.1.16.3.1.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">lcm<\/mi>\n <mo id=\"p1.1.m1.1.16.3.2a\" xref=\"p1.1.m1.1.16.3.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.16.3.2.1\" xref=\"p1.1.m1.1.16.3.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.16.3.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">m<\/mi>\n <mo id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.16.3.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">n<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.16.3.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.16.1.cmml\" xref=\"p1.1.m1.1.16\">\n <apply id=\"p1.1.m1.1.16.2.1.cmml\" xref=\"p1.1.m1.1.16.2.2\">\n <gcd id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5a<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5b<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.16.3.1.cmml\" xref=\"p1.1.m1.1.16.3.2\">\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">lcm<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc5a<\/ci>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\gcd(m,n),\\operatorname{lcm}(m,n)}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mid, \\nmid, \\shortmid, \\nshortmid \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mid ,\\nmid ,\\shortmid ,\\nshortmid \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">∣<!-- \u2223 --><\/mo>\n <mo>,<\/mo>\n <mo>∤<!-- \u2224 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">∣<!-- \u2223 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">∤<!-- \u2224 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mid ,\\nmid ,\\shortmid ,\\nshortmid \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mid,\\nmid,\\shortmid,\\nshortmid\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2223<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2224<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2223<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2224<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2223<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">,<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-divides<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">,<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">divides<\/csymbol>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">,<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">not-divides<\/csymbol>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\mid,\\nmid,\\shortmid,\\nshortmid\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sqrt[3]{x^3+y^3 \\over 2} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\sqrt[{3}]{x^{3}+y^{3} \\over 2}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mroot>\n <mfrac>\n <mrow>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <msup>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mn>2<\/mn>\n <\/mfrac>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/mroot>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\sqrt[{3}]{x^{3}+y^{3} \\over 2}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sqrt[3]{x^{3}+y^{3}\\over 2}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mroot id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mfrac id=\"p1.1.m1.1.1.3a\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mrow id=\"p1.1.m1.1.1.3.1.2\" xref=\"p1.1.m1.1.1.3.1.2.cmml\">\n <msup id=\"p1.1.m1.1.1.3.1.2.6\" xref=\"p1.1.m1.1.1.3.1.2.6.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.2.1\" xref=\"p1.1.m1.1.1.3.1.2.1.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.1.3.1.2.2.1\" xref=\"p1.1.m1.1.1.3.1.2.2.1.cmml\">3<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.1.3.1.2.3\" xref=\"p1.1.m1.1.1.3.1.2.3.cmml\">+<\/mo>\n <msup id=\"p1.1.m1.1.1.3.1.2.7\" xref=\"p1.1.m1.1.1.3.1.2.7.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.2.4\" xref=\"p1.1.m1.1.1.3.1.2.4.cmml\">y<\/mi>\n <mn id=\"p1.1.m1.1.1.3.1.2.5.1\" xref=\"p1.1.m1.1.1.3.1.2.5.1.cmml\">3<\/mn>\n <\/msup>\n <\/mrow>\n <mn id=\"p1.1.m1.1.1.3.1.3\" xref=\"p1.1.m1.1.1.3.1.3.cmml\">2<\/mn>\n <\/mfrac>\n <\/mstyle>\n <mn id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">3<\/mn>\n <\/mroot>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <root id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <degree id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">3<\/cn>\n <\/degree>\n <apply id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\n <divide id=\"p1.1.m1.1.1.3.1.1.cmml\" xref=\"p1.1.m1.1.1.3\"\/>\n <apply id=\"p1.1.m1.1.1.3.1.2.cmml\" xref=\"p1.1.m1.1.1.3.1.2\">\n <plus id=\"p1.1.m1.1.1.3.1.2.3.cmml\" xref=\"p1.1.m1.1.1.3.1.2.3\"\/>\n <apply id=\"p1.1.m1.1.1.3.1.2.6.cmml\" xref=\"p1.1.m1.1.1.3.1.2.6\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.3.1.2.6.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.6\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.3.1.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.1\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.2.1\">3<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.3.1.2.7.cmml\" xref=\"p1.1.m1.1.1.3.1.2.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.3.1.2.7.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.7\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.3.1.2.4.cmml\" xref=\"p1.1.m1.1.1.3.1.2.4\">\ud835\udc66<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.1.2.5.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.5.1\">3<\/cn>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.1.3.cmml\" xref=\"p1.1.m1.1.1.3.1.3\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sqrt[3]{x^{3}+y^{3}\\over 2}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\surd, \\sqrt{2}, \\sqrt[n]{}, \\sqrt[3]{x^3+y^3 \\over 2} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\surd ,{\\sqrt {2}},{\\sqrt[{n}]{}},{\\sqrt[{3}]{x^{3}+y^{3} \\over 2}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">√<!-- \u221a --><\/mo>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mroot>\n <mrow \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/mroot>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mroot>\n <mfrac>\n <mrow>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <msup>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mn>2<\/mn>\n <\/mfrac>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/mroot>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\surd ,{\\sqrt {2}},{\\sqrt[{n}]{}},{\\sqrt[{3}]{x^{3}+y^{3} \\over 2}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\surd,\\sqrt{2},\\sqrt[n]{},\\sqrt[3]{x^{3}+y^{3}% \\over 2}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u221a<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <msqrt id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mn id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">2<\/mn>\n <\/msqrt>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mroot id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.5.3\" xref=\"p1.1.m1.1.5.3.cmml\"\/>\n <mi id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.2.cmml\">n<\/mi>\n <\/mroot>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mroot id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7.3\" xref=\"p1.1.m1.1.7.3.cmml\">\n <mfrac id=\"p1.1.m1.1.7.3a\" xref=\"p1.1.m1.1.7.3.cmml\">\n <mrow id=\"p1.1.m1.1.7.3.1.2\" xref=\"p1.1.m1.1.7.3.1.2.cmml\">\n <msup id=\"p1.1.m1.1.7.3.1.2.6\" xref=\"p1.1.m1.1.7.3.1.2.6.cmml\">\n <mi id=\"p1.1.m1.1.7.3.1.2.1\" xref=\"p1.1.m1.1.7.3.1.2.1.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.7.3.1.2.2.1\" xref=\"p1.1.m1.1.7.3.1.2.2.1.cmml\">3<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.7.3.1.2.3\" xref=\"p1.1.m1.1.7.3.1.2.3.cmml\">+<\/mo>\n <msup id=\"p1.1.m1.1.7.3.1.2.7\" xref=\"p1.1.m1.1.7.3.1.2.7.cmml\">\n <mi id=\"p1.1.m1.1.7.3.1.2.4\" xref=\"p1.1.m1.1.7.3.1.2.4.cmml\">y<\/mi>\n <mn id=\"p1.1.m1.1.7.3.1.2.5.1\" xref=\"p1.1.m1.1.7.3.1.2.5.1.cmml\">3<\/mn>\n <\/msup>\n <\/mrow>\n <mn id=\"p1.1.m1.1.7.3.1.3\" xref=\"p1.1.m1.1.7.3.1.3.cmml\">2<\/mn>\n <\/mfrac>\n <\/mstyle>\n <mn id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.2.cmml\">3<\/mn>\n <\/mroot>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">square-root<\/csymbol>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <root id=\"p1.1.m1.1.3a.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <root id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <degree id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.5.2.cmml\" xref=\"p1.1.m1.1.5.2\">\ud835\udc5b<\/ci>\n <\/degree>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.3.cmml\" xref=\"p1.1.m1.1.5.3\">absent<\/csymbol>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <root id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <degree id=\"p1.1.m1.1.7b.cmml\" xref=\"p1.1.m1.1.7\">\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7.2\">3<\/cn>\n <\/degree>\n <apply id=\"p1.1.m1.1.7.3.cmml\" xref=\"p1.1.m1.1.7.3\">\n <divide id=\"p1.1.m1.1.7.3.1.1.cmml\" xref=\"p1.1.m1.1.7.3\"\/>\n <apply id=\"p1.1.m1.1.7.3.1.2.cmml\" xref=\"p1.1.m1.1.7.3.1.2\">\n <plus id=\"p1.1.m1.1.7.3.1.2.3.cmml\" xref=\"p1.1.m1.1.7.3.1.2.3\"\/>\n <apply id=\"p1.1.m1.1.7.3.1.2.6.cmml\" xref=\"p1.1.m1.1.7.3.1.2.6\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.1.2.6.1.cmml\" xref=\"p1.1.m1.1.7.3.1.2.6\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.3.1.2.1.cmml\" xref=\"p1.1.m1.1.7.3.1.2.1\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.1.2.2.1.cmml\" xref=\"p1.1.m1.1.7.3.1.2.2.1\">3<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.3.1.2.7.cmml\" xref=\"p1.1.m1.1.7.3.1.2.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.1.2.7.1.cmml\" xref=\"p1.1.m1.1.7.3.1.2.7\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.3.1.2.4.cmml\" xref=\"p1.1.m1.1.7.3.1.2.4\">\ud835\udc66<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.1.2.5.1.cmml\" xref=\"p1.1.m1.1.7.3.1.2.5.1\">3<\/cn>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.1.3.cmml\" xref=\"p1.1.m1.1.7.3.1.3\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\surd,\\sqrt{2},\\sqrt[n]{},\\sqrt[3]{x^{3}+y^{3}%\n\\over 2}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "+, -, \\pm, \\mp, \\dotplus \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle +,-,\\pm ,\\mp ,\\dotplus \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>+<\/mo>\n <mo>,<\/mo>\n <mo>−<!-- \u2212 --><\/mo>\n <mo>,<\/mo>\n <mo>±<!-- \u00b1 --><\/mo>\n <mo>,<\/mo>\n <mo>∓<!-- \u2213 --><\/mo>\n <mo>,<\/mo>\n <mo>∔<!-- \u2214 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle +,-,\\pm ,\\mp ,\\dotplus \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle+,-,\\pm,\\mp,\\dotplus\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">+<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">-<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u00b1<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2213<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u2214<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\">\n <plus id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <minus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">plus-or-minus<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">minus-or-plus<\/csymbol>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u2214<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle+,-,\\pm,\\mp,\\dotplus\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\times, \\div, \\divideontimes, \/, \\backslash \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\times ,\\div ,\\divideontimes ,\/,\\backslash \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>×<!-- \u00d7 --><\/mo>\n <mo>,<\/mo>\n <mo>÷<!-- \u00f7 --><\/mo>\n <mo>,<\/mo>\n <mo>⋇<!-- \u22c7 --><\/mo>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mo>,<\/mo>\n <mi class=\"MJX-variant\" mathvariant=\"normal\">∖<!-- \u2216 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\times ,\\div ,\\divideontimes ,\/,\\backslash \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\times,\\div,\\divideontimes,\/,\\backslash\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u00d7<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u00f7<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u22c7<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\/<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\\<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <divide id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u22c7<\/ci>\n <divide id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\\<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\times,\\div,\\divideontimes,\/,\\backslash\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\cdot, * \\ast, \\star, \\circ, \\bullet \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\cdot ,*\\ast ,\\star ,\\circ ,\\bullet \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mo>,<\/mo>\n <mo>∗<!-- \u2217 --><\/mo>\n <mo>∗<!-- \u2217 --><\/mo>\n <mo>,<\/mo>\n <mo>⋆<!-- \u22c6 --><\/mo>\n <mo>,<\/mo>\n <mo>∘<!-- \u2218 --><\/mo>\n <mo>,<\/mo>\n <mo>∙<!-- \u2219 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\cdot ,*\\ast ,\\star ,\\circ ,\\bullet \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\cdot,*\\ast,\\star,\\circ,\\bullet\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u22c5<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">*<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u2217<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u22c6<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u2218<\/mo>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\u2219<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u22c5<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">,<\/ci>\n <times id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u2217<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">,<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u22c6<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">,<\/ci>\n <compose id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">,<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\u2219<\/ci>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\cdot,*\\ast,\\star,\\circ,\\bullet\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\boxplus, \\boxminus, \\boxtimes, \\boxdot \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\boxplus ,\\boxminus ,\\boxtimes ,\\boxdot \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊞<!-- \u229e --><\/mo>\n <mo>,<\/mo>\n <mo>⊟<!-- \u229f --><\/mo>\n <mo>,<\/mo>\n <mo>⊠<!-- \u22a0 --><\/mo>\n <mo>,<\/mo>\n <mo>⊡<!-- \u22a1 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\boxplus ,\\boxminus ,\\boxtimes ,\\boxdot \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\boxplus,\\boxminus,\\boxtimes,\\boxdot\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u229e<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u229f<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u22a0<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u22a1<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u229e<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u229f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u22a0<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u22a1<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\boxplus,\\boxminus,\\boxtimes,\\boxdot\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\oplus, \\ominus, \\otimes, \\oslash, \\odot\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\oplus ,\\ominus ,\\otimes ,\\oslash ,\\odot \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊕<!-- \u2295 --><\/mo>\n <mo>,<\/mo>\n <mo>⊖<!-- \u2296 --><\/mo>\n <mo>,<\/mo>\n <mo>⊗<!-- \u2297 --><\/mo>\n <mo>,<\/mo>\n <mo>⊘<!-- \u2298 --><\/mo>\n <mo>,<\/mo>\n <mo>⊙<!-- \u2299 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\oplus ,\\ominus ,\\otimes ,\\oslash ,\\odot \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\oplus,\\ominus,\\otimes,\\oslash,\\odot\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2295<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2296<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2297<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2298<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u2299<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">direct-sum<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">symmetric-difference<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">tensor-product<\/csymbol>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u2298<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">direct-product<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\oplus,\\ominus,\\otimes,\\oslash,\\odot\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\circleddash, \\circledcirc, \\circledast \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\circleddash ,\\circledcirc ,\\circledast \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊝<!-- \u229d --><\/mo>\n <mo>,<\/mo>\n <mo>⊚<!-- \u229a --><\/mo>\n <mo>,<\/mo>\n <mo>⊛<!-- \u229b --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\circleddash ,\\circledcirc ,\\circledast \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\circleddash,\\circledcirc,\\circledast\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u229d<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u229a<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u229b<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u229d<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u229a<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u229b<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\circleddash,\\circledcirc,\\circledast\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\bigoplus, \\bigotimes, \\bigodot \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\bigoplus ,\\bigotimes ,\\bigodot \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⨁<!-- \u2a01 --><\/mo>\n <mo>,<\/mo>\n <mo>⨂<!-- \u2a02 --><\/mo>\n <mo>,<\/mo>\n <mo>⨀<!-- \u2a00 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\bigoplus ,\\bigotimes ,\\bigodot \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\bigoplus,\\bigotimes,\\bigodot\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mo largeop=\"true\" mathsize=\"160%\" movablelimits=\"false\" stretchy=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\u2295<\/mo>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mo largeop=\"true\" mathsize=\"160%\" movablelimits=\"false\" stretchy=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\u2297<\/mo>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5.cmml\">\n <mo largeop=\"true\" mathsize=\"160%\" movablelimits=\"false\" rspace=\"0.8pt\" stretchy=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.5b\" xref=\"p1.1.m1.1.5.cmml\">\u2299<\/mo>\n <\/mstyle>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">direct-sum<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">tensor-product<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2299<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\bigoplus,\\bigotimes,\\bigodot\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\{ \\}, \\O \\empty \\emptyset, \\varnothing \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\{\\},\\emptyset \\emptyset \\emptyset ,\\varnothing \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo fence=\"false\" stretchy=\"false\">{<\/mo>\n <mo fence=\"false\" stretchy=\"false\">}<\/mo>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">∅<!-- \u2205 --><\/mi>\n <mi mathvariant=\"normal\">∅<!-- \u2205 --><\/mi>\n <mi mathvariant=\"normal\">∅<!-- \u2205 --><\/mi>\n <mo>,<\/mo>\n <mi class=\"MJX-variant\">∅<!-- \u2205 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\{\\},\\emptyset \\emptyset \\emptyset ,\\varnothing \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\{\\},\\O\\emptyset,\\varnothing\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.9.2.1.cmml\">{<\/mo>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.2.1.cmml\">}<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.9.3\" xref=\"p1.1.m1.1.9.3.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u00d8<\/mi>\n <mo id=\"p1.1.m1.1.9.3.1\" xref=\"p1.1.m1.1.9.3.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2205<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\u2205<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <list id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.9.3.cmml\" xref=\"p1.1.m1.1.9.3\">\n <times id=\"p1.1.m1.1.9.3.1.cmml\" xref=\"p1.1.m1.1.9.3.1\"\/>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">italic-\u00d8<\/ci>\n <emptyset id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <\/apply>\n <emptyset id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\{\\},\\O\\emptyset,\\varnothing\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\in, \\notin \\not\\in, \\ni, \\not\\ni \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\in ,\\notin \\not \\in ,\\ni ,\\not \\ni \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>∈<!-- \u2208 --><\/mo>\n <mo>,<\/mo>\n <mo>∉<!-- \u2209 -->∉<\/mo>\n <mo>,<\/mo>\n <mo>∋<!-- \u220b --><\/mo>\n <mo>,<\/mo>\n <mo>∌<\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\in ,\\notin \\not \\in ,\\ni ,\\not \\ni \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\in,\\notin\\not\\in,\\ni,\\not\\ni\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2208<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2209<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2209<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u220b<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\u220b\u0338<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <in id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">,<\/ci>\n <notin id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <notin id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">,<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">contains<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">,<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">not-contains<\/csymbol>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\in,\\notin\\not\\in,\\ni,\\not\\ni\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\cap, \\Cap, \\sqcap, \\bigcap \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\cap ,\\Cap ,\\sqcap ,\\bigcap \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>∩<!-- \u2229 --><\/mo>\n <mo>,<\/mo>\n <mo>⋒<!-- \u22d2 --><\/mo>\n <mo>,<\/mo>\n <mo>⊓<!-- \u2293 --><\/mo>\n <mo>,<\/mo>\n <mo>⋂<!-- \u22c2 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\cap ,\\Cap ,\\sqcap ,\\bigcap \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\cap,\\Cap,\\sqcap,\\bigcap\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2229<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22d2<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2293<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <mo largeop=\"true\" mathsize=\"160%\" movablelimits=\"false\" rspace=\"0.8pt\" stretchy=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.7b\" xref=\"p1.1.m1.1.7.cmml\">\u22c2<\/mo>\n <\/mstyle>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <intersect id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">double-intersection<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">square-intersection<\/csymbol>\n <intersect id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\cap,\\Cap,\\sqcap,\\bigcap\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\cup, \\Cup, \\sqcup, \\bigcup, \\bigsqcup, \\uplus, \\biguplus \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\cup ,\\Cup ,\\sqcup ,\\bigcup ,\\bigsqcup ,\\uplus ,\\biguplus \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>∪<!-- \u222a --><\/mo>\n <mo>,<\/mo>\n <mo>⋓<!-- \u22d3 --><\/mo>\n <mo>,<\/mo>\n <mo>⊔<!-- \u2294 --><\/mo>\n <mo>,<\/mo>\n <mo>⋃<!-- \u22c3 --><\/mo>\n <mo>,<\/mo>\n <mo>⨆<!-- \u2a06 --><\/mo>\n <mo>,<\/mo>\n <mo>⊎<!-- \u228e --><\/mo>\n <mo>,<\/mo>\n <mo>⨄<!-- \u2a04 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\cup ,\\Cup ,\\sqcup ,\\bigcup ,\\bigsqcup ,\\uplus ,\\biguplus \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\cup,\\Cup,\\sqcup,\\bigcup,\\bigsqcup,\\uplus,% \\biguplus\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222a<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22d3<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2294<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mo largeop=\"true\" mathsize=\"160%\" movablelimits=\"false\" stretchy=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\u22c3<\/mo>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mo largeop=\"true\" mathsize=\"160%\" movablelimits=\"false\" stretchy=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">\u2294<\/mo>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\u228e<\/mo>\n <mo id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.15.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.13a\" xref=\"p1.1.m1.1.13.cmml\">\n <mo largeop=\"true\" mathsize=\"160%\" movablelimits=\"false\" rspace=\"0.8pt\" stretchy=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.13b\" xref=\"p1.1.m1.1.13.cmml\">\u228e<\/mo>\n <\/mstyle>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15\">\n <union id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">double-union<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">square-union<\/csymbol>\n <union id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">square-union<\/csymbol>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\u228e<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">symmetric-difference<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\cup,\\Cup,\\sqcup,\\bigcup,\\bigsqcup,\\uplus,%\n\\biguplus\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\setminus, \\smallsetminus, \\times \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\setminus ,\\smallsetminus ,\\times \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo class=\"MJX-variant\">∖<!-- \u2216 --><\/mo>\n <mo>,<\/mo>\n <mo>∖<!-- \u2216 --><\/mo>\n <mo>,<\/mo>\n <mo>×<!-- \u00d7 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\setminus ,\\smallsetminus ,\\times \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\setminus,\\smallsetminus,\\times\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2216<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2216<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u00d7<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <setdiff id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <setdiff id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <times id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\setminus,\\smallsetminus,\\times\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\subset, \\Subset, \\sqsubset \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\subset ,\\Subset ,\\sqsubset \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊂<!-- \u2282 --><\/mo>\n <mo>,<\/mo>\n <mo>⋐<!-- \u22d0 --><\/mo>\n <mo>,<\/mo>\n <mo>⊏<!-- \u228f --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\subset ,\\Subset ,\\sqsubset \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\subset,\\Subset,\\sqsubset\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2282<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22d0<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u228f<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <subset id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">double-subset-of<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">square-image-of<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\subset,\\Subset,\\sqsubset\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\supset, \\Supset, \\sqsupset \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\supset ,\\Supset ,\\sqsupset \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊃<!-- \u2283 --><\/mo>\n <mo>,<\/mo>\n <mo>⋑<!-- \u22d1 --><\/mo>\n <mo>,<\/mo>\n <mo>⊐<!-- \u2290 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\supset ,\\Supset ,\\sqsupset \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\supset,\\Supset,\\sqsupset\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2283<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22d1<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2290<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">superset-of<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">double-superset-of<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">square-original-of<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\supset,\\Supset,\\sqsupset\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\subseteq, \\nsubseteq, \\subsetneq, \\varsubsetneq, \\sqsubseteq \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\subseteq ,\\nsubseteq ,\\subsetneq ,\\varsubsetneq ,\\sqsubseteq \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊆<!-- \u2286 --><\/mo>\n <mo>,<\/mo>\n <mo>⊈<!-- \u2288 --><\/mo>\n <mo>,<\/mo>\n <mo>⊊<!-- \u228a --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">⊊<!-- \u228a --><\/mo>\n <mo>,<\/mo>\n <mo>⊑<!-- \u2291 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\subseteq ,\\nsubseteq ,\\subsetneq ,\\varsubsetneq ,\\sqsubseteq \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\subseteq,\\nsubseteq,\\subsetneq,\\varsubsetneq,% \\sqsubseteq\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2286<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2288<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u228a<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u228a<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u2291<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\">\n <subset id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-subset-of-nor-equals<\/csymbol>\n <prsubset id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <prsubset id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">square-image-of-or-equals<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\subseteq,\\nsubseteq,\\subsetneq,\\varsubsetneq,%\n\\sqsubseteq\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\supseteq, \\nsupseteq, \\supsetneq, \\varsupsetneq, \\sqsupseteq \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\supseteq ,\\nsupseteq ,\\supsetneq ,\\varsupsetneq ,\\sqsupseteq \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊇<!-- \u2287 --><\/mo>\n <mo>,<\/mo>\n <mo>⊉<!-- \u2289 --><\/mo>\n <mo>,<\/mo>\n <mo>⊋<!-- \u228b --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">⊋<!-- \u228b --><\/mo>\n <mo>,<\/mo>\n <mo>⊒<!-- \u2292 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\supseteq ,\\nsupseteq ,\\supsetneq ,\\varsupsetneq ,\\sqsupseteq \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\supseteq,\\nsupseteq,\\supsetneq,\\varsupsetneq,% \\sqsupseteq\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2287<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2289<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u228b<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u228b<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u2292<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">superset-of-or-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-superset-of-nor-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">superset-of-and-not-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">superset-of-and-not-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">square-original-of-or-equals<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\supseteq,\\nsupseteq,\\supsetneq,\\varsupsetneq,%\n\\sqsupseteq\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\subseteqq, \\nsubseteqq, \\subsetneqq, \\varsubsetneqq \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\subseteqq ,\\nsubseteqq ,\\subsetneqq ,\\varsubsetneqq \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⫅<!-- \u2ac5 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">⊈<!-- \u2288 --><\/mo>\n <mo>,<\/mo>\n <mo>⫋<!-- \u2acb --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">⫋<!-- \u2acb --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\subseteqq ,\\nsubseteqq ,\\subsetneqq ,\\varsubsetneqq \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\subseteqq,\\nsubseteqq,\\subsetneqq,\\varsubsetneqq% \\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2ac5<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2ac5\u0338<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2acb<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2acb<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <subset id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-subset-of-nor-equals<\/csymbol>\n <prsubset id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <prsubset id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\subseteqq,\\nsubseteqq,\\subsetneqq,\\varsubsetneqq%\n\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\supseteqq, \\nsupseteqq, \\supsetneqq, \\varsupsetneqq \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\supseteqq ,\\nsupseteqq ,\\supsetneqq ,\\varsupsetneqq \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⫆<!-- \u2ac6 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">⊉<!-- \u2289 --><\/mo>\n <mo>,<\/mo>\n <mo>⫌<!-- \u2acc --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">⫌<!-- \u2acc --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\supseteqq ,\\nsupseteqq ,\\supsetneqq ,\\varsupsetneqq \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\supseteqq,\\nsupseteqq,\\supsetneqq,\\varsupsetneqq% \\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2ac6<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2ac6\u0338<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2acc<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2acc<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">superset-of-or-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-superset-of-nor-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">superset-of-and-not-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">superset-of-and-not-equals<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\supseteqq,\\nsupseteqq,\\supsetneqq,\\varsupsetneqq%\n\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "=, \\ne, \\neq, \\equiv, \\not\\equiv \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle =,\\neq ,\\neq ,\\equiv ,\\not \\equiv \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>=<\/mo>\n <mo>,<\/mo>\n <mo>≠<!-- \u2260 --><\/mo>\n <mo>,<\/mo>\n <mo>≠<!-- \u2260 --><\/mo>\n <mo>,<\/mo>\n <mo>≡<!-- \u2261 --><\/mo>\n <mo>,<\/mo>\n <mo>≢<\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle =,\\neq ,\\neq ,\\equiv ,\\not \\equiv \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle=,\\neq,\\neq,\\equiv,\\not\\equiv\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">=<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.12.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2260<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.12.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2260<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.12.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2261<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.12.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\u2262<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12\">\n <eq id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <neq id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <neq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <equivalent id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">not-equivalent-to<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle=,\\neq,\\neq,\\equiv,\\not\\equiv\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\doteq, \\doteqdot, \\overset{\\underset{\\mathrm{def}}{}}{=}, := \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\doteq ,\\doteqdot ,{\\overset {\\underset {\\mathrm {def} }{}}{=}},:=\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≐<!-- \u2250 --><\/mo>\n <mo>,<\/mo>\n <mo>≑<!-- \u2251 --><\/mo>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mo>=<\/mo>\n <munder>\n <mrow \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <mi mathvariant=\"normal\">e<\/mi>\n <mi mathvariant=\"normal\">f<\/mi>\n <\/mrow>\n <\/munder>\n <\/mover>\n <\/mrow>\n <mo>,<\/mo>\n <mo>:=<\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\doteq ,\\doteqdot ,{\\overset {\\underset {\\mathrm {def} }{}}{=}},:=\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\doteq,\\doteqdot,\\overset{\\underset{\\mathrm{def}}{% }}{=},:=\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2250<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.10.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2251<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.10.1.cmml\">,<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mo id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.2.cmml\">=<\/mo>\n <munder accentunder=\"true\" id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mi id=\"p1.1.m1.1.5.1.4\" xref=\"p1.1.m1.1.5.1.4.cmml\"\/>\n <mo id=\"p1.1.m1.1.5.1.3\" xref=\"p1.1.m1.1.5.1.3.cmml\">def<\/mo>\n <\/munder>\n <\/mover>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.10.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">:=<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">approaches-limit<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">geometrically-equals<\/csymbol>\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n <ci id=\"p1.1.m1.1.5.1.3.cmml\" xref=\"p1.1.m1.1.5.1.3\">def<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.1.4.cmml\" xref=\"p1.1.m1.1.5.1.4\">absent<\/csymbol>\n <\/apply>\n <eq id=\"p1.1.m1.1.5.2.cmml\" xref=\"p1.1.m1.1.5.2\"\/>\n <\/apply>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">assign<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\doteq,\\doteqdot,\\overset{\\underset{\\mathrm{def}}{%\n}}{=},:=\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sim, \\nsim, \\backsim, \\thicksim, \\simeq, \\backsimeq, \\eqsim, \\cong, \\ncong \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sim ,\\nsim ,\\backsim ,\\thicksim ,\\simeq ,\\backsimeq ,\\eqsim ,\\cong ,\\ncong \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>∼<!-- \u223c --><\/mo>\n <mo>,<\/mo>\n <mo>≁<!-- \u2241 --><\/mo>\n <mo>,<\/mo>\n <mo>∽<!-- \u223d --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">∼<!-- \u223c --><\/mo>\n <mo>,<\/mo>\n <mo>≃<!-- \u2243 --><\/mo>\n <mo>,<\/mo>\n <mo>⋍<!-- \u22cd --><\/mo>\n <mo>,<\/mo>\n <mo>≂<!-- \u2242 --><\/mo>\n <mo>,<\/mo>\n <mo>≅<!-- \u2245 --><\/mo>\n <mo>,<\/mo>\n <mo>≆<!-- \u2246 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sim ,\\nsim ,\\backsim ,\\thicksim ,\\simeq ,\\backsimeq ,\\eqsim ,\\cong ,\\ncong \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sim,\\nsim,\\backsim,\\thicksim,\\simeq,\\backsimeq,% \\eqsim,\\cong,\\ncong\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u223c<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2241<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u223d<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u223c<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u2243<\/mo>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\u224c<\/mo>\n <mo id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\u2242<\/mo>\n <mo id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\u2245<\/mo>\n <mo id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.19.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">\u2247<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.19.1.cmml\" xref=\"p1.1.m1.1.19\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">similar-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-similar-to<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u223d<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u223c<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">similar-to-or-equals<\/csymbol>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\u224c<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\u2242<\/ci>\n <approx id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">not-approximately-equals<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sim,\\nsim,\\backsim,\\thicksim,\\simeq,\\backsimeq,%\n\\eqsim,\\cong,\\ncong\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\approx, \\thickapprox, \\approxeq, \\asymp, \\propto, \\varpropto \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\approx ,\\thickapprox ,\\approxeq ,\\asymp ,\\propto ,\\varpropto \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≈<!-- \u2248 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">≈<!-- \u2248 --><\/mo>\n <mo>,<\/mo>\n <mo>≊<!-- \u224a --><\/mo>\n <mo>,<\/mo>\n <mo>≍<!-- \u224d --><\/mo>\n <mo>,<\/mo>\n <mo>∝<!-- \u221d --><\/mo>\n <mo>,<\/mo>\n <mo>∝<!-- \u221d --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\approx ,\\thickapprox ,\\approxeq ,\\asymp ,\\propto ,\\varpropto \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\approx,\\thickapprox,\\approxeq,\\asymp,\\propto,% \\varpropto\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2248<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2248<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u224a<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u224d<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u221d<\/mo>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\u221d<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13\">\n <approx id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <approx id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">approximately-equals-or-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">asymptotically-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">proportional-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">proportional-to<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\approx,\\thickapprox,\\approxeq,\\asymp,\\propto,%\n\\varpropto\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "<, \\nless, \\ll, \\not\\ll, \\lll, \\not\\lll, \\lessdot \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle <,\\nless ,\\ll ,\\not \\ll ,\\lll ,\\not \\lll ,\\lessdot \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo><<\/mo>\n <mo>,<\/mo>\n <mo>≮<!-- \u226e --><\/mo>\n <mo>,<\/mo>\n <mo>≪<!-- \u226a --><\/mo>\n <mo>,<\/mo>\n <mo>≪<!-- \u226a --≯<\/mo>\n <mo>,<\/mo>\n <mo>⋘<!-- \u22d8 --><\/mo>\n <mo>,<\/mo>\n <mo>⋘<!-- \u22d8 --≯<\/mo>\n <mo>,<\/mo>\n <mo>⋖<!-- \u22d6 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle <,\\nless ,\\ll ,\\not \\ll ,\\lll ,\\not \\lll ,\\lessdot \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle<,\\nless,\\ll,\\not\\ll,\\lll,\\not\\lll,\\lessdot\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\"><<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u226e<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u226a<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u226a\u0338<\/mo>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\u22d8<\/mo>\n <mo id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\u22d8\u0338<\/mo>\n <mo id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\u22d6<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.17.1.cmml\" xref=\"p1.1.m1.1.17\">\n <lt id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-less-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">much-less-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">not-much-less-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">very-much-less-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">not-very-much-less-than<\/csymbol>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\u22d6<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle<,\\nless,\\ll,\\not\\ll,\\lll,\\not\\lll,\\lessdot\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": ">, \\ngtr, \\gg, \\not\\gg, \\ggg, \\not\\ggg, \\gtrdot \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle >,\\ngtr ,\\gg ,\\not \\gg ,\\ggg ,\\not \\ggg ,\\gtrdot \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>><\/mo>\n <mo>,<\/mo>\n <mo>≯<!-- \u226f --><\/mo>\n <mo>,<\/mo>\n <mo>≫<!-- \u226b --><\/mo>\n <mo>,<\/mo>\n <mo>≫<!-- \u226b --≯<\/mo>\n <mo>,<\/mo>\n <mo>⋙<!-- \u22d9 --><\/mo>\n <mo>,<\/mo>\n <mo>⋙<!-- \u22d9 --≯<\/mo>\n <mo>,<\/mo>\n <mo>⋗<!-- \u22d7 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle >,\\ngtr ,\\gg ,\\not \\gg ,\\ggg ,\\not \\ggg ,\\gtrdot \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle>,\\ngtr,\\gg,\\not\\gg,\\ggg,\\not\\ggg,\\gtrdot\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">><\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u226f<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u226b<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u226b\u0338<\/mo>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\u22d9<\/mo>\n <mo id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\u22d9\u0338<\/mo>\n <mo id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\u22d7<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.17.1.cmml\" xref=\"p1.1.m1.1.17\">\n <gt id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-greater-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">much-greater-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">not-much-greater-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">very-much-greater-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">not-very-much-greater-than<\/csymbol>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\u22d7<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle>,\\ngtr,\\gg,\\not\\gg,\\ggg,\\not\\ggg,\\gtrdot\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\le \\leq, \\lneq, \\leqq, \\nleqq, \\lneqq, \\lvertneqq \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\leq \\leq ,\\lneq ,\\leqq ,\\nleqq ,\\lneqq ,\\lvertneqq \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≤<!-- \u2264 -->≤<!-- \u2264 --><\/mo>\n <mo>,<\/mo>\n <mo>⪇<!-- \u2a87 --><\/mo>\n <mo>,<\/mo>\n <mo>≦<!-- \u2266 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">≰<!-- \u2270 --><\/mo>\n <mo>,<\/mo>\n <mo>≨<!-- \u2268 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">≨<!-- \u2268 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\leq \\leq ,\\lneq ,\\leqq ,\\nleqq ,\\lneqq ,\\lvertneqq \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\leq\\leq,\\lneq,\\leqq,\\nleqq,\\lneqq,\\lvertneqq\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\n <mi id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\"\/>\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2264<\/mo>\n <mrow id=\"p1.1.m1.1.14.2\" xref=\"p1.1.m1.1.14.2.1.cmml\">\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2264<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.14.2.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u2a87<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.14.2.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u2266<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.14.2.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u2266\u0338<\/mo>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.14.2.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\u2268<\/mo>\n <mo id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.14.2.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\u2268<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\n <leq id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\">absent<\/csymbol>\n <list id=\"p1.1.m1.1.14.2.1.cmml\" xref=\"p1.1.m1.1.14.2\">\n <leq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">less-than-and-not-equals<\/csymbol>\n <leq id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">not-less-than-nor-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">less-than-and-not-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">less-than-and-not-equals<\/csymbol>\n <\/list>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\leq\\leq,\\lneq,\\leqq,\\nleqq,\\lneqq,\\lvertneqq\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\ge \\geq, \\gneq, \\geqq, \\ngeqq, \\gneqq, \\gvertneqq \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\geq \\geq ,\\gneq ,\\geqq ,\\ngeqq ,\\gneqq ,\\gvertneqq \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≥<!-- \u2265 -->≥<!-- \u2265 --><\/mo>\n <mo>,<\/mo>\n <mo>⪈<!-- \u2a88 --><\/mo>\n <mo>,<\/mo>\n <mo>≧<!-- \u2267 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">≱<!-- \u2271 --><\/mo>\n <mo>,<\/mo>\n <mo>≩<!-- \u2269 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">≩<!-- \u2269 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\geq \\geq ,\\gneq ,\\geqq ,\\ngeqq ,\\gneqq ,\\gvertneqq \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\geq\\geq,\\gneq,\\geqq,\\ngeqq,\\gneqq,\\gvertneqq\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\n <mi id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\"\/>\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2265<\/mo>\n <mrow id=\"p1.1.m1.1.14.2\" xref=\"p1.1.m1.1.14.2.1.cmml\">\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2265<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.14.2.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u2a88<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.14.2.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u2267<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.14.2.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u2267\u0338<\/mo>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.14.2.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\u2269<\/mo>\n <mo id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.14.2.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\u2269<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\n <geq id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\">absent<\/csymbol>\n <list id=\"p1.1.m1.1.14.2.1.cmml\" xref=\"p1.1.m1.1.14.2\">\n <geq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">greater-than-and-not-equals<\/csymbol>\n <geq id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">not-greater-than-nor-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">greater-than-and-not-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">greater-than-and-not-equals<\/csymbol>\n <\/list>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\geq\\geq,\\gneq,\\geqq,\\ngeqq,\\gneqq,\\gvertneqq\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\lessgtr \\lesseqgtr \\lesseqqgtr \\gtrless \\gtreqless \\gtreqqless \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\lessgtr \\lesseqgtr \\lesseqqgtr \\gtrless \\gtreqless \\gtreqqless \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≶<!-- \u2276 -->⋚<!-- \u22da -->⪋<!-- \u2a8b -->≷<!-- \u2277 -->⋛<!-- \u22db -->⪌<!-- \u2a8c --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\lessgtr \\lesseqgtr \\lesseqqgtr \\gtrless \\gtreqless \\gtreqqless \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\lessgtr\\lesseqgtr\\lesseqqgtr\\gtrless\\gtreqless% \\gtreqqless\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2276<\/mo>\n <mo id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u22da<\/mo>\n <mo id=\"p1.1.m1.1.8.3\" xref=\"p1.1.m1.1.8.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2a8b<\/mo>\n <mo id=\"p1.1.m1.1.8.4\" xref=\"p1.1.m1.1.8.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u2277<\/mo>\n <mo id=\"p1.1.m1.1.8.5\" xref=\"p1.1.m1.1.8.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u22db<\/mo>\n <mo id=\"p1.1.m1.1.8.6\" xref=\"p1.1.m1.1.8.1.cmml\">\u2063<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u2a8c<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">less-than-or-greater-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">less-than-or-equals-or-greater-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">less-than-or-equals-or-greater-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">greater-than-or-less-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">greater-than-or-equals-or-less-than<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">greater-than-or-equals-or-less-than<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\lessgtr\\lesseqgtr\\lesseqqgtr\\gtrless\\gtreqless%\n\\gtreqqless\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\leqslant, \\nleqslant, \\eqslantless \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\leqslant ,\\nleqslant ,\\eqslantless \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⩽<!-- \u2a7d --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">⪇<!-- \u2a87 --><\/mo>\n <mo>,<\/mo>\n <mo>⪕<!-- \u2a95 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\leqslant ,\\nleqslant ,\\eqslantless \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\leqslant,\\nleqslant,\\eqslantless\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2a7d<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2a7d\u0338<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2a95<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <leq id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-less-than-nor-equals<\/csymbol>\n <leq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\leqslant,\\nleqslant,\\eqslantless\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\geqslant, \\ngeqslant, \\eqslantgtr \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\geqslant ,\\ngeqslant ,\\eqslantgtr \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⩾<!-- \u2a7e --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">⪈<!-- \u2a88 --><\/mo>\n <mo>,<\/mo>\n <mo>⪖<!-- \u2a96 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\geqslant ,\\ngeqslant ,\\eqslantgtr \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\geqslant,\\ngeqslant,\\eqslantgtr\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2a7e<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2a7e\u0338<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2a96<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <geq id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-greater-than-nor-equals<\/csymbol>\n <geq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\geqslant,\\ngeqslant,\\eqslantgtr\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\lesssim, \\lnsim, \\lessapprox, \\lnapprox \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\lesssim ,\\lnsim ,\\lessapprox ,\\lnapprox \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≲<!-- \u2272 --><\/mo>\n <mo>,<\/mo>\n <mo>⋦<!-- \u22e6 --><\/mo>\n <mo>,<\/mo>\n <mo>⪅<!-- \u2a85 --><\/mo>\n <mo>,<\/mo>\n <mo>⪉<!-- \u2a89 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\lesssim ,\\lnsim ,\\lessapprox ,\\lnapprox \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\lesssim,\\lnsim,\\lessapprox,\\lnapprox\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2272<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22e6<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2a85<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2a89<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">less-than-or-similar-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">less-than-and-not-equivalent-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">less-than-or-approximately-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">less-than-and-not-approximately-equals<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\lesssim,\\lnsim,\\lessapprox,\\lnapprox\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": " \\gtrsim, \\gnsim, \\gtrapprox, \\gnapprox \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\gtrsim ,\\gnsim ,\\gtrapprox ,\\gnapprox \\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≳<!-- \u2273 --><\/mo>\n <mo>,<\/mo>\n <mo>⋧<!-- \u22e7 --><\/mo>\n <mo>,<\/mo>\n <mo>⪆<!-- \u2a86 --><\/mo>\n <mo>,<\/mo>\n <mo>⪊<!-- \u2a8a --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\gtrsim ,\\gnsim ,\\gtrapprox ,\\gnapprox \\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\gtrsim,\\gnsim,\\gtrapprox,\\gnapprox\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2273<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22e7<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2a86<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo rspace=\"4.2pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2a8a<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">greater-than-or-equivalent-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">greater-than-and-not-equivalent-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">greater-than-or-approximately-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">greater-than-and-not-approximately-equals<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\gtrsim,\\gnsim,\\gtrapprox,\\gnapprox\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\prec, \\nprec, \\preceq, \\npreceq, \\precneqq \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\prec ,\\nprec ,\\preceq ,\\npreceq ,\\precneqq \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≺<!-- \u227a --><\/mo>\n <mo>,<\/mo>\n <mo>⊀<!-- \u2280 --><\/mo>\n <mo>,<\/mo>\n <mo>⪯<!-- \u2aaf --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">⋠<!-- \u22e0 --><\/mo>\n <mo>,<\/mo>\n <mo>⪵<!-- \u2ab5 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\prec ,\\nprec ,\\preceq ,\\npreceq ,\\precneqq \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\prec,\\nprec,\\preceq,\\npreceq,\\precneqq\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u227a<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2280<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2aaf<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u22e0<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u2ab5<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">precedes<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-precedes<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">precedes-or-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">not-precedes-nor-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">precedes-and-not-equals<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\prec,\\nprec,\\preceq,\\npreceq,\\precneqq\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\succ, \\nsucc, \\succeq, \\nsucceq, \\succneqq \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\succ ,\\nsucc ,\\succeq ,\\nsucceq ,\\succneqq \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≻<!-- \u227b --><\/mo>\n <mo>,<\/mo>\n <mo>⊁<!-- \u2281 --><\/mo>\n <mo>,<\/mo>\n <mo>⪰<!-- \u2ab0 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">⋡<!-- \u22e1 --><\/mo>\n <mo>,<\/mo>\n <mo>⪶<!-- \u2ab6 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\succ ,\\nsucc ,\\succeq ,\\nsucceq ,\\succneqq \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\succ,\\nsucc,\\succeq,\\nsucceq,\\succneqq\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u227b<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2281<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2ab0<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u22e1<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.11.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u2ab6<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">succeeds<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-succeeds<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">succeeds-or-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">not-succeeds-nor-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">succeeds-and-not-equals<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\succ,\\nsucc,\\succeq,\\nsucceq,\\succneqq\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\preccurlyeq, \\curlyeqprec \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\preccurlyeq ,\\curlyeqprec \\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≼<!-- \u227c --><\/mo>\n <mo>,<\/mo>\n <mo>⋞<!-- \u22de --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\preccurlyeq ,\\curlyeqprec \\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\preccurlyeq,\\curlyeqprec\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u227c<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.5.1.cmml\">,<\/mo>\n <mo rspace=\"4.2pt\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22de<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">precedes-or-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">equals-or-preceeds<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\preccurlyeq,\\curlyeqprec\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\succcurlyeq, \\curlyeqsucc \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\succcurlyeq ,\\curlyeqsucc \\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≽<!-- \u227d --><\/mo>\n <mo>,<\/mo>\n <mo>⋟<!-- \u22df --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\succcurlyeq ,\\curlyeqsucc \\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\succcurlyeq,\\curlyeqsucc\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u227d<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.5.1.cmml\">,<\/mo>\n <mo rspace=\"4.2pt\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22df<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">succeeds-or-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">equals-or-succeeds<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\succcurlyeq,\\curlyeqsucc\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\precsim, \\precnsim, \\precapprox, \\precnapprox \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\precsim ,\\precnsim ,\\precapprox ,\\precnapprox \\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≾<!-- \u227e --><\/mo>\n <mo>,<\/mo>\n <mo>⋨<!-- \u22e8 --><\/mo>\n <mo>,<\/mo>\n <mo>⪷<!-- \u2ab7 --><\/mo>\n <mo>,<\/mo>\n <mo>⪹<!-- \u2ab9 --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\precsim ,\\precnsim ,\\precapprox ,\\precnapprox \\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\precsim,\\precnsim,\\precapprox,\\precnapprox\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u227e<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22e8<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2ab7<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo rspace=\"4.2pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2ab9<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">precedes-or-equivalent-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">precedes-and-not-equivalent-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">precedes-or-approximately-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">precedes-and-not-approximately-equals<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\precsim,\\precnsim,\\precapprox,\\precnapprox\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\succsim, \\succnsim, \\succapprox, \\succnapprox \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\succsim ,\\succnsim ,\\succapprox ,\\succnapprox \\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≿<!-- \u227f --><\/mo>\n <mo>,<\/mo>\n <mo>⋩<!-- \u22e9 --><\/mo>\n <mo>,<\/mo>\n <mo>⪸<!-- \u2ab8 --><\/mo>\n <mo>,<\/mo>\n <mo>⪺<!-- \u2aba --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\succsim ,\\succnsim ,\\succapprox ,\\succnapprox \\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\succsim,\\succnsim,\\succapprox,\\succnapprox\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u227f<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22e9<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2ab8<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo rspace=\"4.2pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2aba<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">succeeds-or-equivalent-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">succeeds-and-not-equivalent-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">succeeds-or-approximately-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">succeeds-and-not-approximately-equals<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\succsim,\\succnsim,\\succapprox,\\succnapprox\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\parallel, \\nparallel, \\shortparallel, \\nshortparallel \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\parallel ,\\nparallel ,\\shortparallel ,\\nshortparallel \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">∥<!-- \u2225 --><\/mo>\n <mo>,<\/mo>\n <mo>∦<!-- \u2226 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">∥<!-- \u2225 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">∦<!-- \u2226 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\parallel ,\\nparallel ,\\shortparallel ,\\nshortparallel \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\parallel,\\nparallel,\\shortparallel,% \\nshortparallel\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2225<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2226<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2225<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2226<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">parallel-to<\/csymbol>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">,<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-parallel-to<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">,<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">parallel-to<\/csymbol>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">,<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">not-parallel-to<\/csymbol>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\parallel,\\nparallel,\\shortparallel,%\n\\nshortparallel\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\perp, \\angle, \\sphericalangle, \\measuredangle, 45^\\circ \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\perp ,\\angle ,\\sphericalangle ,\\measuredangle ,45^{\\circ }\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊥<!-- \u22a5 --><\/mo>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">∠<!-- \u2220 --><\/mi>\n <mo>,<\/mo>\n <mi>∢<!-- \u2222 --><\/mi>\n <mo>,<\/mo>\n <mi>∡<!-- \u2221 --><\/mi>\n <mo>,<\/mo>\n <msup>\n <mn>45<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>∘<!-- \u2218 --><\/mo>\n <\/mrow>\n <\/msup>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\perp ,\\angle ,\\sphericalangle ,\\measuredangle ,45^{\\circ }\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\perp,\\angle,\\sphericalangle,\\measuredangle,45^{% \\circ}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u27c2<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2220<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2222<\/mi>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2221<\/mi>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.13.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.13.2\" xref=\"p1.1.m1.1.13.2.cmml\">\n <msup id=\"p1.1.m1.1.13.2a\" xref=\"p1.1.m1.1.13.2.cmml\">\n <mn id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">45<\/mn>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2218<\/mo>\n <\/msup>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">perpendicular-to<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2220<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2222<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u2221<\/ci>\n <apply id=\"p1.1.m1.1.13.2.cmml\" xref=\"p1.1.m1.1.13.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.13.2.1.cmml\" xref=\"p1.1.m1.1.13.2\">superscript<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">45<\/cn>\n <compose id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\perp,\\angle,\\sphericalangle,\\measuredangle,45^{%\n\\circ}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Box, \\blacksquare, \\diamond, \\Diamond \\lozenge, \\blacklozenge, \\bigstar \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Box ,\\blacksquare ,\\diamond ,\\Diamond \\lozenge ,\\blacklozenge ,\\bigstar \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>◻<!-- \u25fb --><\/mi>\n <mo>,<\/mo>\n <mi>◼<!-- \u25fc --><\/mi>\n <mo>,<\/mo>\n <mo>⋄<!-- \u22c4 --><\/mo>\n <mo>,<\/mo>\n <mi>◊<!-- \u25ca --><\/mi>\n <mi>◊<!-- \u25ca --><\/mi>\n <mo>,<\/mo>\n <mi>⧫<!-- \u29eb --><\/mi>\n <mo>,<\/mo>\n <mi>★<!-- \u2605 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Box ,\\blacksquare ,\\diamond ,\\Diamond \\lozenge ,\\blacklozenge ,\\bigstar \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Box,\\blacksquare,\\diamond,\\Diamond\\lozenge,% \\blacklozenge,\\bigstar\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.1.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u25a1<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.14.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u25a0<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.14.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u22c4<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.14.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.14.2\" xref=\"p1.1.m1.1.14.2.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u25c7<\/mi>\n <mo id=\"p1.1.m1.1.14.2.1\" xref=\"p1.1.m1.1.14.2.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u25c6<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.14.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\u25c6<\/mi>\n <mo id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.14.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.12a\" xref=\"p1.1.m1.1.12.cmml\">\u2605<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u25a1<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u25a0<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u22c4<\/ci>\n <apply id=\"p1.1.m1.1.14.2.cmml\" xref=\"p1.1.m1.1.14.2\">\n <times id=\"p1.1.m1.1.14.2.1.cmml\" xref=\"p1.1.m1.1.14.2.1\"\/>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u25c7<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u25c6<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\u25c6<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\u2605<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Box,\\blacksquare,\\diamond,\\Diamond\\lozenge,%\n\\blacklozenge,\\bigstar\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\bigcirc, \\triangle \\bigtriangleup, \\bigtriangledown \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\bigcirc ,\\triangle \\bigtriangleup ,\\bigtriangledown \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>◯<!-- \u25ef --><\/mo>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">△<!-- \u25b3 --><\/mi>\n <mo>△<!-- \u25b3 --><\/mo>\n <mo>,<\/mo>\n <mo>▽<!-- \u25bd --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\bigcirc ,\\triangle \\bigtriangleup ,\\bigtriangledown \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\bigcirc,\\triangle\\bigtriangleup,\\bigtriangledown% \\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u25cb<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.8.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u25b3<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u25b3<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.8.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u25bd<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u25cb<\/ci>\n <apply id=\"p1.1.m1.1.8.2.cmml\" xref=\"p1.1.m1.1.8.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.2.1.cmml\" xref=\"p1.1.m1.1.8.2\">limit-from<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u25b3<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u25b3<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u25bd<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\bigcirc,\\triangle\\bigtriangleup,\\bigtriangledown%\n\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\vartriangle, \\triangledown\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\vartriangle ,\\triangledown \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo class=\"MJX-variant\">△<!-- \u25b3 --><\/mo>\n <mo>,<\/mo>\n <mi class=\"MJX-variant\">▽<!-- \u25bd --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\vartriangle ,\\triangledown \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\vartriangle,\\triangledown\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u25b3<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.5.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\u25bd<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u25b3<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u25bd<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\vartriangle,\\triangledown\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\blacktriangle, \\blacktriangledown, \\blacktriangleleft, \\blacktriangleright \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\blacktriangle ,\\blacktriangledown ,\\blacktriangleleft ,\\blacktriangleright \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>▴<!-- \u25b4 --><\/mi>\n <mo>,<\/mo>\n <mi>▾<!-- \u25be --><\/mi>\n <mo>,<\/mo>\n <mo>◂<!-- \u25c2 --><\/mo>\n <mo>,<\/mo>\n <mo>▸<!-- \u25b8 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\blacktriangle ,\\blacktriangledown ,\\blacktriangleleft ,\\blacktriangleright \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\blacktriangle,\\blacktriangledown,% \\blacktriangleleft,\\blacktriangleright\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u25b2<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u25bc<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u25c0<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u25b6<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u25b2<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u25bc<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u25c0<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u25b6<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\blacktriangle,\\blacktriangledown,%\n\\blacktriangleleft,\\blacktriangleright\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\forall, \\exists, \\nexists \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\forall ,\\exists ,\\nexists \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">∀<!-- \u2200 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">∃<!-- \u2203 --><\/mi>\n <mo>,<\/mo>\n <mi>∄<!-- \u2204 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\forall ,\\exists ,\\nexists \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\forall,\\exists,\\nexists\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2200<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2203<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5.cmml\">\u2204<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">for-all<\/csymbol>\n <exists id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">not-exists<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\forall,\\exists,\\nexists\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\therefore, \\because, \\And \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\therefore ,\\because ,\\And \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>∴<!-- \u2234 --><\/mo>\n <mo>,<\/mo>\n <mo>∵<!-- \u2235 --><\/mo>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&<!-- & --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\therefore ,\\because ,\\And \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\therefore,\\because,\\And\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2234<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2235<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">&<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">therefore<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">because<\/csymbol>\n <and id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\therefore,\\because,\\And\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\or \\lor \\vee, \\curlyvee, \\bigvee \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\lor \\lor \\vee ,\\curlyvee ,\\bigvee \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>∨<!-- \u2228 --><\/mo>\n <mo>∨<!-- \u2228 --><\/mo>\n <mo>∨<!-- \u2228 --><\/mo>\n <mo>,<\/mo>\n <mo>⋎<!-- \u22ce --><\/mo>\n <mo>,<\/mo>\n <mo>⋁<!-- \u22c1 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\lor \\lor \\vee ,\\curlyvee ,\\bigvee \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\lor\\vee,\\curlyvee,\\bigvee\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2228<\/mo>\n <mo id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2228<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.8.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u22ce<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.8.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6.cmml\">\n <mo largeop=\"true\" mathsize=\"160%\" movablelimits=\"false\" rspace=\"0.8pt\" stretchy=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.6b\" xref=\"p1.1.m1.1.6.cmml\">\u22c1<\/mo>\n <\/mstyle>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8\">\n <or id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <or id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <or id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <or id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\lor\\vee,\\curlyvee,\\bigvee\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\and \\land \\wedge, \\curlywedge, \\bigwedge \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\land \\land \\wedge ,\\curlywedge ,\\bigwedge \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>∧<!-- \u2227 --><\/mo>\n <mo>∧<!-- \u2227 --><\/mo>\n <mo>∧<!-- \u2227 --><\/mo>\n <mo>,<\/mo>\n <mo>⋏<!-- \u22cf --><\/mo>\n <mo>,<\/mo>\n <mo>⋀<!-- \u22c0 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\land \\land \\wedge ,\\curlywedge ,\\bigwedge \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\and\\land\\wedge,\\curlywedge,\\bigwedge\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mi mathvariant=\"italic\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">and <\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2227<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2227<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u22cf<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <mo largeop=\"true\" mathsize=\"160%\" movablelimits=\"false\" rspace=\"0.8pt\" stretchy=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.7b\" xref=\"p1.1.m1.1.7.cmml\">\u22c0<\/mo>\n <\/mstyle>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">and <\/csymbol>\n <and id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <and id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">,<\/ci>\n <and id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">,<\/ci>\n <and id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\and\\land\\wedge,\\curlywedge,\\bigwedge\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\bar{q}, \\bar{abc}, \\overline{q}, \\overline{abc}, \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\bar {q}},{\\bar {abc}},{\\overline {q}},{\\overline {abc}},\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>q<\/mi>\n <mo stretchy=\"false\">¯<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <mi>c<\/mi>\n <\/mrow>\n <mo stretchy=\"false\">¯<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>q<\/mi>\n <mo accent=\"false\">¯<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <mi>c<\/mi>\n <\/mrow>\n <mo accent=\"false\">¯<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <mo>,<\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\bar {q}},{\\bar {abc}},{\\overline {q}},{\\overline {abc}},\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\bar{q},\\bar{abc},\\overline{q},\\overline{abc},\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\">\n <mrow id=\"p1.1.m1.1.10.2\" xref=\"p1.1.m1.1.10.2.1.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">q<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\u00af<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.10.2.1.cmml\">,<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mrow id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">\n <mi id=\"p1.1.m1.1.3.2.1\" xref=\"p1.1.m1.1.3.2.1.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.3.2.4\" xref=\"p1.1.m1.1.3.2.4.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3.2.2\" xref=\"p1.1.m1.1.3.2.2.cmml\">b<\/mi>\n <mo id=\"p1.1.m1.1.3.2.4a\" xref=\"p1.1.m1.1.3.2.4.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3.2.3\" xref=\"p1.1.m1.1.3.2.3.cmml\">c<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u00af<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.10.2.1.cmml\">,<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.2.cmml\">q<\/mi>\n <mo id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\u00af<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.10.2.1.cmml\">,<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mrow id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.2.cmml\">\n <mi id=\"p1.1.m1.1.7.2.1\" xref=\"p1.1.m1.1.7.2.1.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.7.2.4\" xref=\"p1.1.m1.1.7.2.4.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7.2.2\" xref=\"p1.1.m1.1.7.2.2.cmml\">b<\/mi>\n <mo id=\"p1.1.m1.1.7.2.4a\" xref=\"p1.1.m1.1.7.2.4.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7.2.3\" xref=\"p1.1.m1.1.7.2.3.cmml\">c<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\u00af<\/mo>\n <\/mover>\n <\/mrow>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.8\">,<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.10.2.1.cmml\" xref=\"p1.1.m1.1.10.2\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\u00af<\/ci>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udc5e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\u00af<\/ci>\n <apply id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\n <times id=\"p1.1.m1.1.3.2.4.cmml\" xref=\"p1.1.m1.1.3.2.4\"\/>\n <ci id=\"p1.1.m1.1.3.2.1.cmml\" xref=\"p1.1.m1.1.3.2.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.3.2.2.cmml\" xref=\"p1.1.m1.1.3.2.2\">\ud835\udc4f<\/ci>\n <ci id=\"p1.1.m1.1.3.2.3.cmml\" xref=\"p1.1.m1.1.3.2.3\">\ud835\udc50<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\u00af<\/ci>\n <ci id=\"p1.1.m1.1.5.2.cmml\" xref=\"p1.1.m1.1.5.2\">\ud835\udc5e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <ci id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">\u00af<\/ci>\n <apply id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7.2\">\n <times id=\"p1.1.m1.1.7.2.4.cmml\" xref=\"p1.1.m1.1.7.2.4\"\/>\n <ci id=\"p1.1.m1.1.7.2.1.cmml\" xref=\"p1.1.m1.1.7.2.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.7.2.2.cmml\" xref=\"p1.1.m1.1.7.2.2\">\ud835\udc4f<\/ci>\n <ci id=\"p1.1.m1.1.7.2.3.cmml\" xref=\"p1.1.m1.1.7.2.3\">\ud835\udc50<\/ci>\n <\/apply>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\bar{q},\\bar{abc},\\overline{q},\\overline{abc},\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\lnot \\neg, \\not\\operatorname{R}, \\bot, \\top \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\lnot \\neg ,\\not \\operatorname {R} ,\\bot ,\\top \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">¬<!-- \u00ac --><\/mi>\n <mi mathvariant=\"normal\">¬<!-- \u00ac --><\/mi>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-REL\">\n <mpadded width=\"0\">\n <mtext>⧸<\/mtext>\n <\/mpadded>\n <\/mrow>\n <mi mathvariant=\"normal\">R<\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">⊥<!-- \u22a5 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">⊤<!-- \u22a4 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\lnot \\neg ,\\not \\operatorname {R} ,\\bot ,\\top \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\lnot\\neg,\\not\\operatorname{R},\\bot,\\top\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.1.cmml\">\n <mrow id=\"p1.1.m1.1.12.2\" xref=\"p1.1.m1.1.12.2.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u00ac<\/mi>\n <mo id=\"p1.1.m1.1.12.2.1\" xref=\"p1.1.m1.1.12.2.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u00ac<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.12.1.cmml\">,<\/mo>\n <menclose notation=\"updiagonalstrike\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">R<\/mi>\n <\/menclose>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.12.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u22a5<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.12.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u22a4<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12\">\n <apply id=\"p1.1.m1.1.12.2.cmml\" xref=\"p1.1.m1.1.12.2\">\n <times id=\"p1.1.m1.1.12.2.1.cmml\" xref=\"p1.1.m1.1.12.2.1\"\/>\n <not id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <not id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <not id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.11\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">R<\/ci>\n <\/apply>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">bottom<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">top<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\lnot\\neg,\\not\\operatorname{R},\\bot,\\top\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\vdash \\dashv, \\vDash, \\Vdash, \\models \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\vdash \\dashv ,\\vDash ,\\Vdash ,\\models \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊢<!-- \u22a2 -->⊣<!-- \u22a3 --><\/mo>\n <mo>,<\/mo>\n <mo>⊨<!-- \u22a8 --><\/mo>\n <mo>,<\/mo>\n <mo>⊩<!-- \u22a9 --><\/mo>\n <mo>,<\/mo>\n <mo>⊨<!-- \u22a8 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\vdash \\dashv ,\\vDash ,\\Vdash ,\\models \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\vdash\\dashv,\\vDash,\\Vdash,\\models\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mi id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\"\/>\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u22a2<\/mo>\n <mrow id=\"p1.1.m1.1.10.2\" xref=\"p1.1.m1.1.10.2.1.cmml\">\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u22a3<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.10.2.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u22a8<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.10.2.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u22a9<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.10.2.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u22a7<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">proves<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">absent<\/csymbol>\n <list id=\"p1.1.m1.1.10.2.1.cmml\" xref=\"p1.1.m1.1.10.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">does-not-prove<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u22a8<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">forces<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">models<\/csymbol>\n <\/list>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\vdash\\dashv,\\vDash,\\Vdash,\\models\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Vvdash \\nvdash \\nVdash \\nvDash \\nVDash \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Vvdash \\nvdash \\nVdash \\nvDash \\nVDash \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊪<!-- \u22aa -->⊬<!-- \u22ac -->⊮<!-- \u22ae -->⊭<!-- \u22ad -->⊯<!-- \u22af --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Vvdash \\nvdash \\nVdash \\nvDash \\nVDash \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Vvdash\\nvdash\\nVdash\\nvDash\\nVDash\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u22aa<\/mo>\n <mo id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u22ac<\/mo>\n <mo id=\"p1.1.m1.1.7.3\" xref=\"p1.1.m1.1.7.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22ae<\/mo>\n <mo id=\"p1.1.m1.1.7.4\" xref=\"p1.1.m1.1.7.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u22ad<\/mo>\n <mo id=\"p1.1.m1.1.7.5\" xref=\"p1.1.m1.1.7.1.cmml\">\u2063<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u22af<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u22aa<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">not-proves<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">not-forces<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u22ad<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u22af<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Vvdash\\nvdash\\nVdash\\nvDash\\nVDash\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\ulcorner \\urcorner \\llcorner \\lrcorner \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\ulcorner \\urcorner \\llcorner \\lrcorner \\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⌜<!-- \u231c --><\/mo>\n <mo>⌝<!-- \u231d --><\/mo>\n <mo>⌞<!-- \u231e --><\/mo>\n <mo>⌟<!-- \u231f --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\ulcorner \\urcorner \\llcorner \\lrcorner \\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\ulcorner\\urcorner\\llcorner\\lrcorner\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u231c<\/mi>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u231d<\/mi>\n <mo id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u231e<\/mi>\n <mo id=\"p1.1.m1.1.6.1b\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\u231f<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u231c<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u231d<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u231e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u231f<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\ulcorner\\urcorner\\llcorner\\lrcorner\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Rrightarrow, \\Lleftarrow \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Rrightarrow ,\\Lleftarrow \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">⇛<!-- \u21db --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">⇚<!-- \u21da --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Rrightarrow ,\\Lleftarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Rrightarrow,\\Lleftarrow\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u21db<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.5.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u21da<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u21db<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u21da<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Rrightarrow,\\Lleftarrow\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Rightarrow, \\nRightarrow, \\Longrightarrow \\implies\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Rightarrow ,\\nRightarrow ,\\Longrightarrow \\implies \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">⇒<!-- \u21d2 --><\/mo>\n <mo>,<\/mo>\n <mo>⇏<!-- \u21cf --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">⟹<!-- \u27f9 --><\/mo>\n <mspace width=\"thickmathspace\" \/>\n <mo stretchy=\"false\">⟹<!-- \u27f9 --><\/mo>\n <mspace width=\"thickmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Rightarrow ,\\nRightarrow ,\\Longrightarrow \\implies \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Rightarrow,\\nRightarrow,\\Longrightarrow\\implies\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u21d2<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u21cf<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u27f9<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u27f9<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u21d2<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">,<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u21cf<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">,<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u27f9<\/ci>\n <implies id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\Rightarrow,\\nRightarrow,\\Longrightarrow\\implies\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Leftarrow, \\nLeftarrow, \\Longleftarrow \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Leftarrow ,\\nLeftarrow ,\\Longleftarrow \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">⇐<!-- \u21d0 --><\/mo>\n <mo>,<\/mo>\n <mo>⇍<!-- \u21cd --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">⟸<!-- \u27f8 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Leftarrow ,\\nLeftarrow ,\\Longleftarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Leftarrow,\\nLeftarrow,\\Longleftarrow\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u21d0<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u21cd<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u27f8<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u21d0<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u21cd<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u27f8<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Leftarrow,\\nLeftarrow,\\Longleftarrow\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Leftrightarrow, \\nLeftrightarrow, \\Longleftrightarrow \\iff \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Leftrightarrow ,\\nLeftrightarrow ,\\Longleftrightarrow \\iff \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">⇔<!-- \u21d4 --><\/mo>\n <mo>,<\/mo>\n <mo>⇎<!-- \u21ce --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">⟺<!-- \u27fa --><\/mo>\n <mspace width=\"thickmathspace\" \/>\n <mo stretchy=\"false\">⟺<!-- \u27fa --><\/mo>\n <mspace width=\"thickmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Leftrightarrow ,\\nLeftrightarrow ,\\Longleftrightarrow \\iff \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Leftrightarrow,\\nLeftrightarrow,% \\Longleftrightarrow\\iff\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u21d4<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u21ce<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u27fa<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u21d4<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u21d4<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">,<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u21ce<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">,<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u27fa<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">iff<\/csymbol>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\Leftrightarrow,\\nLeftrightarrow,%\n\\Longleftrightarrow\\iff\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Uparrow, \\Downarrow, \\Updownarrow \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Uparrow ,\\Downarrow ,\\Updownarrow \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">⇑<!-- \u21d1 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">⇓<!-- \u21d3 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">⇕<!-- \u21d5 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Uparrow ,\\Downarrow ,\\Updownarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Uparrow,\\Downarrow,\\Updownarrow\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u21d1<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u21d3<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u21d5<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u21d1<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u21d3<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u21d5<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Uparrow,\\Downarrow,\\Updownarrow\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\rightarrow \\to, \\nrightarrow, \\longrightarrow\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\rightarrow \\to ,\\nrightarrow ,\\longrightarrow \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">→<!-- \u2192 -->→<!-- \u2192 --><\/mo>\n <mo>,<\/mo>\n <mo>↛<!-- \u219b --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">⟶<!-- \u27f6 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\rightarrow \\to ,\\nrightarrow ,\\longrightarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\rightarrow\\to,\\nrightarrow,\\longrightarrow\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\"\/>\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2192<\/mo>\n <mrow id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.1.cmml\">\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2192<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.8.2.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u219b<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.8.2.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u27f6<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2192<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">absent<\/csymbol>\n <list id=\"p1.1.m1.1.8.2.1.cmml\" xref=\"p1.1.m1.1.8.2\">\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u2192<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u219b<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u27f6<\/ci>\n <\/list>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\rightarrow\\to,\\nrightarrow,\\longrightarrow\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\leftarrow \\gets, \\nleftarrow, \\longleftarrow\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\leftarrow \\gets ,\\nleftarrow ,\\longleftarrow \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">←<!-- \u2190 -->←<!-- \u2190 --><\/mo>\n <mo>,<\/mo>\n <mo>↚<!-- \u219a --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">⟵<!-- \u27f5 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\leftarrow \\gets ,\\nleftarrow ,\\longleftarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\leftarrow\\leftarrow,\\nleftarrow,\\longleftarrow\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\"\/>\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2190<\/mo>\n <mrow id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.1.cmml\">\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2190<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.8.2.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u219a<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.8.2.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u27f5<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2190<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">absent<\/csymbol>\n <list id=\"p1.1.m1.1.8.2.1.cmml\" xref=\"p1.1.m1.1.8.2\">\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u2190<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u219a<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u27f5<\/ci>\n <\/list>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\leftarrow\\leftarrow,\\nleftarrow,\\longleftarrow\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\leftrightarrow, \\nleftrightarrow, \\longleftrightarrow \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\leftrightarrow ,\\nleftrightarrow ,\\longleftrightarrow \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">↔<!-- \u2194 --><\/mo>\n <mo>,<\/mo>\n <mo>↮<!-- \u21ae --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">⟷<!-- \u27f7 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\leftrightarrow ,\\nleftrightarrow ,\\longleftrightarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\leftrightarrow,\\nleftrightarrow,% \\longleftrightarrow\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2194<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u21ae<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u27f7<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2194<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u21ae<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u27f7<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\leftrightarrow,\\nleftrightarrow,%\n\\longleftrightarrow\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\uparrow, \\downarrow, \\updownarrow \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\uparrow ,\\downarrow ,\\updownarrow \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">↑<!-- \u2191 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">↓<!-- \u2193 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">↕<!-- \u2195 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\uparrow ,\\downarrow ,\\updownarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\uparrow,\\downarrow,\\updownarrow\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2191<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2193<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2195<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2191<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2193<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2195<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\uparrow,\\downarrow,\\updownarrow\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\nearrow, \\swarrow, \\nwarrow, \\searrow \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\nearrow ,\\swarrow ,\\nwarrow ,\\searrow \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">↗<!-- \u2197 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">↙<!-- \u2199 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">↖<!-- \u2196 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">↘<!-- \u2198 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\nearrow ,\\swarrow ,\\nwarrow ,\\searrow \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\nearrow,\\swarrow,\\nwarrow,\\searrow\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2197<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2199<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2196<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.9.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2198<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2197<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2199<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2196<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u2198<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\nearrow,\\swarrow,\\nwarrow,\\searrow\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mapsto, \\longmapsto \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mapsto ,\\longmapsto \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">↦<!-- \u21a6 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">⟼<!-- \u27fc --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mapsto ,\\longmapsto \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mapsto,\\longmapsto\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u21a6<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.5.1.cmml\">,<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u27fc<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">maps-to<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u27fc<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mapsto,\\longmapsto\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\rightharpoonup \\rightharpoondown \\leftharpoonup \\leftharpoondown \\upharpoonleft \\upharpoonright \\downharpoonleft \\downharpoonright \\rightleftharpoons \\leftrightharpoons \\,\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\rightharpoonup \\rightharpoondown \\leftharpoonup \\leftharpoondown \\upharpoonleft \\upharpoonright \\downharpoonleft \\downharpoonright \\rightleftharpoons \\leftrightharpoons \\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo rspace=\"0pt\" stretchy=\"false\">⇀<!-- \u21c0 -->⇁<!-- \u21c1 -->↼<!-- \u21bc -->↽<!-- \u21bd -->↿<!-- \u21bf -->↾<!-- \u21be -->⇃<!-- \u21c3 -->⇂<!-- \u21c2 --><\/mo>\n <mo class=\"MJX-variant\" lspace=\"0pt\" rspace=\"0pt\" stretchy=\"false\">⇌<!-- \u21cc --><\/mo>\n <mo lspace=\"0pt\" stretchy=\"false\">⇋<!-- \u21cb --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\rightharpoonup \\rightharpoondown \\leftharpoonup \\leftharpoondown \\upharpoonleft \\upharpoonright \\downharpoonleft \\downharpoonright \\rightleftharpoons \\leftrightharpoons \\,\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\rightharpoonup\\rightharpoondown\\leftharpoonup% \\leftharpoondown\\upharpoonleft\\upharpoonright\\downharpoonleft\\downharpoonright% \\rightleftharpoons\\leftrightharpoons\\,\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u21c0<\/mo>\n <mo id=\"p1.1.m1.1.13.2\" xref=\"p1.1.m1.1.13.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u21c1<\/mo>\n <mo id=\"p1.1.m1.1.13.3\" xref=\"p1.1.m1.1.13.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u21bc<\/mo>\n <mo id=\"p1.1.m1.1.13.4\" xref=\"p1.1.m1.1.13.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u21bd<\/mo>\n <mo id=\"p1.1.m1.1.13.5\" xref=\"p1.1.m1.1.13.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u21bf<\/mo>\n <mo id=\"p1.1.m1.1.13.6\" xref=\"p1.1.m1.1.13.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u21be<\/mo>\n <mo id=\"p1.1.m1.1.13.7\" xref=\"p1.1.m1.1.13.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u21c3<\/mo>\n <mo id=\"p1.1.m1.1.13.8\" xref=\"p1.1.m1.1.13.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u21c2<\/mo>\n <mo id=\"p1.1.m1.1.13.9\" xref=\"p1.1.m1.1.13.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u21cc<\/mo>\n <mo id=\"p1.1.m1.1.13.10\" xref=\"p1.1.m1.1.13.1.cmml\">\u2063<\/mo>\n <mo rspace=\"2.5pt\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\u21cb<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u21c0<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u21c1<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u21bc<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u21bd<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u21bf<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u21be<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u21c3<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u21c2<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u21cc<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\u21cb<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\rightharpoonup\\rightharpoondown\\leftharpoonup%\n\\leftharpoondown\\upharpoonleft\\upharpoonright\\downharpoonleft\\downharpoonright%\n\\rightleftharpoons\\leftrightharpoons\\,\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\curvearrowleft \\circlearrowleft \\Lsh \\upuparrows \\rightrightarrows \\rightleftarrows \\rightarrowtail \\looparrowright \\,\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\curvearrowleft \\circlearrowleft \\Lsh \\upuparrows \\rightrightarrows \\rightleftarrows \\rightarrowtail \\looparrowright \\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>↶<!-- \u21b6 -->↺<!-- \u21ba -->↰<!-- \u21b0 -->⇈<!-- \u21c8 -->⇉<!-- \u21c9 -->⇄<!-- \u21c4 -->↣<!-- \u21a3 -->↬<!-- \u21ac --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\curvearrowleft \\circlearrowleft \\Lsh \\upuparrows \\rightrightarrows \\rightleftarrows \\rightarrowtail \\looparrowright \\,\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\curvearrowleft\\circlearrowleft\\Lsh\\upuparrows% \\rightrightarrows\\rightleftarrows\\rightarrowtail\\looparrowright\\,\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u21b6<\/mo>\n <mo id=\"p1.1.m1.1.11.2\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u21ba<\/mo>\n <mo id=\"p1.1.m1.1.11.3\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u21b0<\/mo>\n <mo id=\"p1.1.m1.1.11.4\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u21c8<\/mo>\n <mo id=\"p1.1.m1.1.11.5\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u21c9<\/mo>\n <mo id=\"p1.1.m1.1.11.6\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u21c4<\/mo>\n <mo id=\"p1.1.m1.1.11.7\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u21a3<\/mo>\n <mo id=\"p1.1.m1.1.11.8\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo rspace=\"2.5pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u21ac<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u21b6<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u21ba<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u21b0<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u21c8<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u21c9<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u21c4<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u21a3<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u21ac<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\curvearrowleft\\circlearrowleft\\Lsh\\upuparrows%\n\\rightrightarrows\\rightleftarrows\\rightarrowtail\\looparrowright\\,\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\curvearrowright \\circlearrowright \\Rsh \\downdownarrows \\leftleftarrows \\leftrightarrows \\leftarrowtail \\looparrowleft \\,\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\curvearrowright \\circlearrowright \\Rsh \\downdownarrows \\leftleftarrows \\leftrightarrows \\leftarrowtail \\looparrowleft \\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>↷<!-- \u21b7 -->↻<!-- \u21bb -->↱<!-- \u21b1 -->⇊<!-- \u21ca -->⇇<!-- \u21c7 -->⇆<!-- \u21c6 -->↢<!-- \u21a2 -->↫<!-- \u21ab --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\curvearrowright \\circlearrowright \\Rsh \\downdownarrows \\leftleftarrows \\leftrightarrows \\leftarrowtail \\looparrowleft \\,\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\curvearrowright\\circlearrowright\\Rsh% \\downdownarrows\\leftleftarrows\\leftrightarrows\\leftarrowtail\\looparrowleft\\,\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u21b7<\/mo>\n <mo id=\"p1.1.m1.1.11.2\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u21bb<\/mo>\n <mo id=\"p1.1.m1.1.11.3\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u21b1<\/mo>\n <mo id=\"p1.1.m1.1.11.4\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u21ca<\/mo>\n <mo id=\"p1.1.m1.1.11.5\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u21c7<\/mo>\n <mo id=\"p1.1.m1.1.11.6\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u21c6<\/mo>\n <mo id=\"p1.1.m1.1.11.7\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u21a2<\/mo>\n <mo id=\"p1.1.m1.1.11.8\" xref=\"p1.1.m1.1.11.1.cmml\">\u2063<\/mo>\n <mo rspace=\"2.5pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u21ab<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u21b7<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u21bb<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u21b1<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u21ca<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u21c7<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u21c6<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u21a2<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u21ab<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\curvearrowright\\circlearrowright\\Rsh%\n\\downdownarrows\\leftleftarrows\\leftrightarrows\\leftarrowtail\\looparrowleft\\,\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\hookrightarrow \\hookleftarrow \\multimap \\leftrightsquigarrow \\rightsquigarrow \\twoheadrightarrow \\twoheadleftarrow \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\hookrightarrow \\hookleftarrow \\multimap \\leftrightsquigarrow \\rightsquigarrow \\twoheadrightarrow \\twoheadleftarrow \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">↪<!-- \u21aa -->↩<!-- \u21a9 -->⊸<!-- \u22b8 -->↭<!-- \u21ad -->⇝<!-- \u21dd -->↠<!-- \u21a0 -->↞<!-- \u219e --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\hookrightarrow \\hookleftarrow \\multimap \\leftrightsquigarrow \\rightsquigarrow \\twoheadrightarrow \\twoheadleftarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\hookrightarrow\\hookleftarrow\\multimap% \\leftrightsquigarrow\\rightsquigarrow\\twoheadrightarrow\\twoheadleftarrow\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u21aa<\/mo>\n <mo id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u21a9<\/mo>\n <mo id=\"p1.1.m1.1.9.3\" xref=\"p1.1.m1.1.9.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22b8<\/mo>\n <mo id=\"p1.1.m1.1.9.4\" xref=\"p1.1.m1.1.9.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u21ad<\/mo>\n <mo id=\"p1.1.m1.1.9.5\" xref=\"p1.1.m1.1.9.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u219d<\/mo>\n <mo id=\"p1.1.m1.1.9.6\" xref=\"p1.1.m1.1.9.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u21a0<\/mo>\n <mo id=\"p1.1.m1.1.9.7\" xref=\"p1.1.m1.1.9.1.cmml\">\u2063<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u219e<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u21aa<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u21a9<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u22b8<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u21ad<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u219d<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u21a0<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u219e<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\hookrightarrow\\hookleftarrow\\multimap%\n\\leftrightsquigarrow\\rightsquigarrow\\twoheadrightarrow\\twoheadleftarrow\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\amalg \\P \\S \\% \\dagger \\ddagger \\ldots \\cdots \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\amalg \\P \\S \\%\\dagger \\ddagger \\ldots \\cdots \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⨿<!-- \u2a3f --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>¶<\/mo>\n <\/mrow>\n <mi mathvariant=\"normal\">§<!-- \u00a7 --><\/mi>\n <mi mathvariant=\"normal\">%<!-- % --><\/mi>\n <mo>†<!-- \u2020 --><\/mo>\n <mo>‡<!-- \u2021 --><\/mo>\n <mo>…<!-- \u2026 --><\/mo>\n <mo>⋯<!-- \u22ef --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\amalg \\P \\S \\%\\dagger \\ddagger \\ldots \\cdots \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\amalg\\lx@paragraphsign\\lx@sectionsign\\%\\dagger% \\ddagger\\ldots\\cdots\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2210<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u00b6<\/mi>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u00a7<\/mi>\n <mo lspace=\"0pt\" rspace=\"3.5pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">%<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2020<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u2021<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2026<\/mi>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\u22ef<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">coproduct<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u00b6<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u00a7<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">percent<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2020<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u2021<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u2026<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u22ef<\/ci>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\amalg\\lx@paragraphsign\\lx@sectionsign\\%\\dagger%\n\\ddagger\\ldots\\cdots\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\smile \\frown \\wr \\triangleleft \\triangleright\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\smile \\frown \\wr \\triangleleft \\triangleright \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⌣<!-- \u2323 -->⌢<!-- \u2322 --><\/mo>\n <mo>≀<!-- \u2240 --><\/mo>\n <mo>◃<!-- \u25c3 --><\/mo>\n <mo>▹<!-- \u25b9 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\smile \\frown \\wr \\triangleleft \\triangleright \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\smile\\frown\\wr\\triangleleft\\triangleright\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2323<\/mo>\n <mo id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2322<\/mo>\n <mo id=\"p1.1.m1.1.7.3\" xref=\"p1.1.m1.1.7.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2240<\/mo>\n <mo id=\"p1.1.m1.1.7.4\" xref=\"p1.1.m1.1.7.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u25c1<\/mo>\n <mo id=\"p1.1.m1.1.7.5\" xref=\"p1.1.m1.1.7.1.cmml\">\u2063<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u25b7<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2323<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u2322<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2240<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u25c1<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u25b7<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\smile\\frown\\wr\\triangleleft\\triangleright\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\diamondsuit, \\heartsuit, \\clubsuit, \\spadesuit, \\Game, \\flat, \\natural, \\sharp \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\diamondsuit ,\\heartsuit ,\\clubsuit ,\\spadesuit ,\\Game ,\\flat ,\\natural ,\\sharp \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">♢<!-- \u2662 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">♡<!-- \u2661 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">♣<!-- \u2663 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">♠<!-- \u2660 --><\/mi>\n <mo>,<\/mo>\n <mi>⅁<!-- \u2141 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">♭<!-- \u266d --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">♮<!-- \u266e --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">♯<!-- \u266f --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\diamondsuit ,\\heartsuit ,\\clubsuit ,\\spadesuit ,\\Game ,\\flat ,\\natural ,\\sharp \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\diamondsuit,\\heartsuit,\\clubsuit,\\spadesuit,\\Game% ,\\flat,\\natural,\\sharp\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.1.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2662<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2661<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2663<\/mi>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2660<\/mi>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u2141<\/mi>\n <mo id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\u266d<\/mi>\n <mo id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\u266e<\/mi>\n <mo id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.17.1.cmml\">,<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.15a\" xref=\"p1.1.m1.1.15.cmml\">\u266f<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.17.1.cmml\" xref=\"p1.1.m1.1.17\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2662<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2661<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2663<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u2660<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u2141<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\u266d<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\u266e<\/ci>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\u266f<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\diamondsuit,\\heartsuit,\\clubsuit,\\spadesuit,\\Game%\n,\\flat,\\natural,\\sharp\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\diagup \\diagdown \\centerdot \\ltimes \\rtimes \\leftthreetimes \\rightthreetimes \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\diagup \\diagdown \\centerdot \\ltimes \\rtimes \\leftthreetimes \\rightthreetimes \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>╱<!-- \u2571 --><\/mi>\n <mi>╲<!-- \u2572 --><\/mi>\n <mo class=\"MJX-variant\">⋅<!-- \u22c5 --><\/mo>\n <mo>⋉<!-- \u22c9 --><\/mo>\n <mo>⋊<!-- \u22ca --><\/mo>\n <mo>⋋<!-- \u22cb --><\/mo>\n <mo>⋌<!-- \u22cc --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\diagup \\diagdown \\centerdot \\ltimes \\rtimes \\leftthreetimes \\rightthreetimes \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\diagup\\diagdown\\centerdot\\ltimes\\rtimes% \\leftthreetimes\\rightthreetimes\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2571<\/mi>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2572<\/mi>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2219<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u22c9<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u22ca<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u22cb<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u22cc<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2571<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u2572<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2219<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">left-normal-factor-semidirect-product<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">right-normal-factor-semidirect-product<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">left-semidirect-product<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">right-semidirect-product<\/csymbol>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\diagup\\diagdown\\centerdot\\ltimes\\rtimes%\n\\leftthreetimes\\rightthreetimes\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\eqcirc \\circeq \\triangleq \\bumpeq \\Bumpeq \\doteqdot \\risingdotseq \\fallingdotseq \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\eqcirc \\circeq \\triangleq \\bumpeq \\Bumpeq \\doteqdot \\risingdotseq \\fallingdotseq \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>≖<!-- \u2256 -->≗<!-- \u2257 -->≜<!-- \u225c -->≏<!-- \u224f -->≎<!-- \u224e -->≑<!-- \u2251 -->≓<!-- \u2253 -->≒<!-- \u2252 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\eqcirc \\circeq \\triangleq \\bumpeq \\Bumpeq \\doteqdot \\risingdotseq \\fallingdotseq \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\eqcirc\\circeq\\triangleq\\bumpeq\\Bumpeq\\doteqdot% \\risingdotseq\\fallingdotseq\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2256<\/mo>\n <mo id=\"p1.1.m1.1.10.2\" xref=\"p1.1.m1.1.10.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2257<\/mo>\n <mo id=\"p1.1.m1.1.10.3\" xref=\"p1.1.m1.1.10.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u225c<\/mo>\n <mo id=\"p1.1.m1.1.10.4\" xref=\"p1.1.m1.1.10.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u224f<\/mo>\n <mo id=\"p1.1.m1.1.10.5\" xref=\"p1.1.m1.1.10.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u224e<\/mo>\n <mo id=\"p1.1.m1.1.10.6\" xref=\"p1.1.m1.1.10.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u2251<\/mo>\n <mo id=\"p1.1.m1.1.10.7\" xref=\"p1.1.m1.1.10.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2253<\/mo>\n <mo id=\"p1.1.m1.1.10.8\" xref=\"p1.1.m1.1.10.1.cmml\">\u2063<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u2252<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2256<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u2257<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u225c<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">difference-between<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">geometrically-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">geometrically-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">image-of-or-approximately-equals<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">approximately-equals-or-image-of<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\eqcirc\\circeq\\triangleq\\bumpeq\\Bumpeq\\doteqdot%\n\\risingdotseq\\fallingdotseq\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\intercal \\barwedge \\veebar \\doublebarwedge \\between \\pitchfork \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\intercal \\barwedge \\veebar \\doublebarwedge \\between \\pitchfork \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊺<!-- \u22ba --><\/mo>\n <mo>⊼<!-- \u22bc --><\/mo>\n <mo>⊻<!-- \u22bb --><\/mo>\n <mo>⩞<!-- \u2a5e --><\/mo>\n <mo>≬<!-- \u226c -->⋔<!-- \u22d4 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\intercal \\barwedge \\veebar \\doublebarwedge \\between \\pitchfork \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\intercal\\barwedge\\veebar\\doublebarwedge\\between% \\pitchfork\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u22ba<\/mo>\n <mo id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u22bc<\/mo>\n <mo id=\"p1.1.m1.1.8.3\" xref=\"p1.1.m1.1.8.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22bb<\/mo>\n <mo id=\"p1.1.m1.1.8.4\" xref=\"p1.1.m1.1.8.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u2a5e<\/mo>\n <mo id=\"p1.1.m1.1.8.5\" xref=\"p1.1.m1.1.8.1.cmml\">\u2063<\/mo>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u226c<\/mo>\n <mo id=\"p1.1.m1.1.8.6\" xref=\"p1.1.m1.1.8.1.cmml\">\u2063<\/mo>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u22d4<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u22ba<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">not-and<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">exclusive-or<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u2a5e<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">between<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">proper-intersection<\/csymbol>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\intercal\\barwedge\\veebar\\doublebarwedge\\between%\n\\pitchfork\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\vartriangleleft \\ntriangleleft \\vartriangleright \\ntriangleright \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\vartriangleleft \\ntriangleleft \\vartriangleright \\ntriangleright \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊲<!-- \u22b2 -->⋪<!-- \u22ea -->⊳<!-- \u22b3 -->⋫<!-- \u22eb --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\vartriangleleft \\ntriangleleft \\vartriangleright \\ntriangleright \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\vartriangleleft\\ntriangleleft\\vartriangleright% \\ntriangleright\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u22b2<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u22ea<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22b3<\/mi>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u22eb<\/mo>\n <mi id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\"\/>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <and id=\"p1.1.m1.1.6a.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.6b.cmml\" xref=\"p1.1.m1.1.6\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">not-subgroup-of<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u22b2<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u22b3<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6c.cmml\" xref=\"p1.1.m1.1.6\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">not-contains<\/csymbol>\n <share href=\"#p1.1.m1.1.3.cmml\" id=\"p1.1.m1.1.6d.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">absent<\/csymbol>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\vartriangleleft\\ntriangleleft\\vartriangleright%\n\\ntriangleright\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\trianglelefteq \\ntrianglelefteq \\trianglerighteq \\ntrianglerighteq \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\trianglelefteq \\ntrianglelefteq \\trianglerighteq \\ntrianglerighteq \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>⊴<!-- \u22b4 -->⋬<!-- \u22ec -->⊵<!-- \u22b5 -->⋭<!-- \u22ed --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\trianglelefteq \\ntrianglelefteq \\trianglerighteq \\ntrianglerighteq \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\trianglelefteq\\ntrianglelefteq\\trianglerighteq% \\ntrianglerighteq\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u22b4<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u22ec<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u22b5<\/mi>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u22ed<\/mo>\n <mi id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\"\/>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <and id=\"p1.1.m1.1.6a.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.6b.cmml\" xref=\"p1.1.m1.1.6\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">not-subgroup-of-nor-equals<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u22b4<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u22b5<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6c.cmml\" xref=\"p1.1.m1.1.6\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">not-contains-nor-equals<\/csymbol>\n <share href=\"#p1.1.m1.1.3.cmml\" id=\"p1.1.m1.1.6d.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">absent<\/csymbol>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\trianglelefteq\\ntrianglelefteq\\trianglerighteq%\n\\ntrianglerighteq\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "a^2",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a^{2}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a^{2}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle a^{2}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <msup id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">2<\/mn>\n <\/msup>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">2<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle a^{2}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "a_2",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a_{2}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a_{2}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle a_{2}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <msub id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">2<\/mn>\n <\/msub>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">2<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle a_{2}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "10^{30} a^{2+2}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle 10^{30}a^{2+2}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mn>10<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>30<\/mn>\n <\/mrow>\n <\/msup>\n <msup>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle 10^{30}a^{2+2}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle 10^{30}a^{2+2}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <msup id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mn id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">10<\/mn>\n <mn id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">30<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.6.3\" xref=\"p1.1.m1.1.6.3.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mrow id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mn id=\"p1.1.m1.1.5.1.1\" xref=\"p1.1.m1.1.5.1.1.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.5.1.2\" xref=\"p1.1.m1.1.5.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.5.1.3\" xref=\"p1.1.m1.1.5.1.3.cmml\">2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2\">superscript<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">10<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">30<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.3.cmml\" xref=\"p1.1.m1.1.6.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.3.1.cmml\" xref=\"p1.1.m1.1.6.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n <plus id=\"p1.1.m1.1.5.1.2.cmml\" xref=\"p1.1.m1.1.5.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.1.1\">2<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.1.3.cmml\" xref=\"p1.1.m1.1.5.1.3\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle 10^{30}a^{2+2}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "a_{i,j} b_{f'}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a_{i,j}b_{f'}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>,<\/mo>\n <mi>j<\/mi>\n <\/mrow>\n <\/msub>\n <msub>\n <mi>b<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msup>\n <mi>f<\/mi>\n <mo>′<\/mo>\n <\/msup>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a_{i,j}b_{f'}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle a_{i,j}b_{f^{\\prime}}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <msub id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.4.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.4.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">j<\/mi>\n <\/mrow>\n <\/msub>\n <mo id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\u2062<\/mo>\n <msub id=\"p1.1.m1.1.5.3\" xref=\"p1.1.m1.1.5.3.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">b<\/mi>\n <msup id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\n <mi id=\"p1.1.m1.1.4.1.1\" xref=\"p1.1.m1.1.4.1.1.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.4.1.2.1\" xref=\"p1.1.m1.1.4.1.2.1.cmml\">\u2032<\/mo>\n <\/msup>\n <\/msub>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <times id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\"\/>\n <apply id=\"p1.1.m1.1.5.2.cmml\" xref=\"p1.1.m1.1.5.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.2.1.cmml\" xref=\"p1.1.m1.1.5.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <list id=\"p1.1.m1.1.2.1.4.cmml\" xref=\"p1.1.m1.1.2.1\">\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">\ud835\udc57<\/ci>\n <\/list>\n <\/apply>\n <apply id=\"p1.1.m1.1.5.3.cmml\" xref=\"p1.1.m1.1.5.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.3.1.cmml\" xref=\"p1.1.m1.1.5.3\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4f<\/ci>\n <apply id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.4.1.3.cmml\" xref=\"p1.1.m1.1.4.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.1.1.cmml\" xref=\"p1.1.m1.1.4.1.1\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.4.1.2.1.cmml\" xref=\"p1.1.m1.1.4.1.2.1\">\u2032<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle a_{i,j}b_{f^{\\prime}}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "x_2^3",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x_{2}^{3}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msubsup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x_{2}^{3}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle x_{2}^{3}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <msubsup id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">2<\/mn>\n <mn id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">3<\/mn>\n <\/msubsup>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.4.2.cmml\" xref=\"p1.1.m1.1.4\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.4.2.1.cmml\" xref=\"p1.1.m1.1.4\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">2<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">3<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle x_{2}^{3}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "{x_2}^3 \\,\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {x_{2}}^{3}\\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {x_{2}}^{3}\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle{x_{2}}^{3}\\,\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mmultiscripts id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">2<\/mn>\n <none id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6.cmml\"\/>\n <none id=\"p1.1.m1.1.6b\" xref=\"p1.1.m1.1.6.cmml\"\/>\n <mn id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">3<\/mn>\n <\/mmultiscripts>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">2<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">3<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle{x_{2}}^{3}\\,\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "10^{10^{8}}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle 10^{10^{8}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mn>10<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msup>\n <mn>10<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>8<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle 10^{10^{8}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle 10^{10^{8}}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <msup id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mn id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">10<\/mn>\n <msup id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mn id=\"p1.1.m1.1.3.1.2\" xref=\"p1.1.m1.1.3.1.2.cmml\">10<\/mn>\n <mn id=\"p1.1.m1.1.3.1.3.1\" xref=\"p1.1.m1.1.3.1.3.1.cmml\">8<\/mn>\n <\/msup>\n <\/msup>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4\">superscript<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">10<\/cn>\n <apply id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.3.1.4.cmml\" xref=\"p1.1.m1.1.3.1\">superscript<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.2.cmml\" xref=\"p1.1.m1.1.3.1.2\">10<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1.3.1\">8<\/cn>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle 10^{10^{8}}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sideset{_1^2}{_3^4}\\prod_a^b",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sideset {_{1}^{2}}{_{3}^{4}}\\prod _{a}^{b}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mrow class=\"MJX-TeXAtom-OP\">\n <msubsup>\n <mrow class=\"MJX-TeXAtom-OP MJX-fixedlimits\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mpadded width=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mphantom>\n <mo>∏<!-- \u220f --><\/mo>\n <\/mphantom>\n <\/mrow>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <mspace width=\"negativethinmathspace\" \/>\n <msubsup>\n <mrow class=\"MJX-TeXAtom-OP MJX-fixedlimits\">\n <mo movablelimits=\"false\">∏<!-- \u220f --><\/mo>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>4<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>b<\/mi>\n <\/mrow>\n <\/munderover>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sideset {_{1}^{2}}{_{3}^{4}}\\prod _{a}^{b}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sideset{{}_{1}^{2}}{{}_{3}^{4}}{\\prod}_{a}^{b}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <munderover id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mmultiscripts id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u220f<\/mo>\n <mn id=\"p1.1.m1.1.4.2\" xref=\"p1.1.m1.1.4.2.cmml\">3<\/mn>\n <mn id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.2.cmml\">4<\/mn>\n <mprescripts id=\"p1.1.m1.1.5b\" xref=\"p1.1.m1.1.5.cmml\"\/>\n <mn id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">1<\/mn>\n <mn id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">2<\/mn>\n <\/mmultiscripts>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">a<\/mi>\n <mphantom id=\"p1.1.m1.1.8b\" xref=\"p1.1.m1.1.8.cmml\">\n <mn id=\"p1.1.m1.1.5.2a\" xref=\"p1.1.m1.1.5.2.cmml\">4<\/mn>\n <\/mphantom>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.8c\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">b<\/mi>\n <mphantom id=\"p1.1.m1.1.8d\" xref=\"p1.1.m1.1.8.cmml\">\n <mn id=\"p1.1.m1.1.5.2b\" xref=\"p1.1.m1.1.5.2.cmml\">4<\/mn>\n <\/mphantom>\n <\/mrow>\n <\/munderover>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.8.2.cmml\" xref=\"p1.1.m1.1.8\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.2.1.cmml\" xref=\"p1.1.m1.1.8\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.5\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.5\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.5\">superscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">product<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">2<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">1<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.2.cmml\" xref=\"p1.1.m1.1.4.2\">3<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.2.cmml\" xref=\"p1.1.m1.1.5.2\">4<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\ud835\udc4e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sideset{{}_{1}^{2}}{{}_{3}^{4}}{\\prod}_{a}^{b}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "{}_1^2\\!\\Omega_3^4",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {}_{1}^{2}\\!\\Omega _{3}^{4}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msubsup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <mspace width=\"negativethinmathspace\" \/>\n <msubsup>\n <mi mathvariant=\"normal\">Ω<!-- \u03a9 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>4<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {}_{1}^{2}\\!\\Omega _{3}^{4}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{{}_{1}^{2}\\!\\Omega_{3}^{4}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mmultiscripts id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03a9<\/mi>\n <mn id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">3<\/mn>\n <mn id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">4<\/mn>\n <mprescripts id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\"\/>\n <mn id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">1<\/mn>\n <mn id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">2<\/mn>\n <\/mmultiscripts>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.2.1.cmml\" xref=\"p1.1.m1.1.7\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.7.2.2.cmml\" xref=\"p1.1.m1.1.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.2.2.1.cmml\" xref=\"p1.1.m1.1.7\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.7.2.2.2.cmml\" xref=\"p1.1.m1.1.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.2.2.2.1.cmml\" xref=\"p1.1.m1.1.7\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u03a9<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">3<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">4<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">2<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">1<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{{}_{1}^{2}\\!\\Omega_{3}^{4}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\overset{\\alpha}{\\omega}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\overset {\\alpha }{\\omega }}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>ω<!-- \u03c9 --><\/mi>\n <mi>α<!-- \u03b1 --><\/mi>\n <\/mover>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\overset {\\alpha }{\\omega }}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\overset{\\alpha}{\\omega}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\u03c9<\/mi>\n <mo id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\ud835\udefc<\/mo>\n <\/mover>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\ud835\udefc<\/ci>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udf14<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\overset{\\alpha}{\\omega}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\underset{\\alpha}{\\omega}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\underset {\\alpha }{\\omega }}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <munder>\n <mi>ω<!-- \u03c9 --><\/mi>\n <mi>α<!-- \u03b1 --><\/mi>\n <\/munder>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\underset {\\alpha }{\\omega }}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\underset{\\alpha}{\\omega}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <munder accentunder=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\u03c9<\/mi>\n <mo id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\ud835\udefc<\/mo>\n <\/munder>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\ud835\udefc<\/ci>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udf14<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\underset{\\alpha}{\\omega}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\overset{\\alpha}{\\underset{\\gamma}{\\omega}}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\overset {\\alpha }{\\underset {\\gamma }{\\omega }}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <munder>\n <mi>ω<!-- \u03c9 --><\/mi>\n <mi>γ<!-- \u03b3 --><\/mi>\n <\/munder>\n <mi>α<!-- \u03b1 --><\/mi>\n <\/mover>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\overset {\\alpha }{\\underset {\\gamma }{\\omega }}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\overset{\\alpha}{\\underset{\\gamma}{\\omega}}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <munderover accent=\"true\" accentunder=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1.2\" xref=\"p1.1.m1.1.1.2.1.2.cmml\">\u03c9<\/mi>\n <mo mathsize=\"142%\" stretchy=\"false\" id=\"p1.1.m1.1.1.2.1.1\" xref=\"p1.1.m1.1.1.2.1.1.cmml\">\ud835\udefe<\/mo>\n <mo id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\ud835\udefc<\/mo>\n <\/munderover>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\ud835\udefc<\/ci>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.1.1\">\ud835\udefe<\/ci>\n <ci id=\"p1.1.m1.1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.1.2.1.2\">\ud835\udf14<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\overset{\\alpha}{\\underset{\\gamma}{\\omega}}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\stackrel{\\alpha}{\\omega}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\stackrel {\\alpha }{\\omega }}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-REL\">\n <mover>\n <mrow class=\"MJX-TeXAtom-OP MJX-fixedlimits\">\n <mi>ω<!-- \u03c9 --><\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>α<!-- \u03b1 --><\/mi>\n <\/mrow>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\stackrel {\\alpha }{\\omega }}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\lx@stackrel{{\\scriptstyle\\alpha}}{{\\omega}}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mover id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\u03c9<\/mi>\n <mi id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">\u03b1<\/mi>\n <\/mover>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udf14<\/ci>\n <ci id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\ud835\udefc<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\lx@stackrel{{\\scriptstyle\\alpha}}{{\\omega}}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "x', y'', f', f''",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x',y'',f',f''}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>x<\/mi>\n <mo>′<\/mo>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>y<\/mi>\n <mo>″<\/mo>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>f<\/mi>\n <mo>′<\/mo>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>f<\/mi>\n <mo>″<\/mo>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x',y'',f',f''}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle x^{\\prime},y^{\\prime\\prime},f^{\\prime},f^{\\prime% \\prime}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.1.cmml\">\n <msup id=\"p1.1.m1.1.12.2\" xref=\"p1.1.m1.1.12.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\u2032<\/mo>\n <\/msup>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.12.1.cmml\">,<\/mo>\n <msup id=\"p1.1.m1.1.12.3\" xref=\"p1.1.m1.1.12.3.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\u2032\u2032<\/mo>\n <\/msup>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.12.1.cmml\">,<\/mo>\n <msup id=\"p1.1.m1.1.12.4\" xref=\"p1.1.m1.1.12.4.cmml\">\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\u2032<\/mo>\n <\/msup>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.12.1.cmml\">,<\/mo>\n <msup id=\"p1.1.m1.1.12.5\" xref=\"p1.1.m1.1.12.5.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2032\u2032<\/mo>\n <\/msup>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12\">\n <apply id=\"p1.1.m1.1.12.2.cmml\" xref=\"p1.1.m1.1.12.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.12.2.1.cmml\" xref=\"p1.1.m1.1.12.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\u2032<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.12.3.cmml\" xref=\"p1.1.m1.1.12.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.12.3.1.cmml\" xref=\"p1.1.m1.1.12.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\u2032\u2032<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.12.4.cmml\" xref=\"p1.1.m1.1.12.4\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.12.4.1.cmml\" xref=\"p1.1.m1.1.12.4\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\u2032<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.12.5.cmml\" xref=\"p1.1.m1.1.12.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.12.5.1.cmml\" xref=\"p1.1.m1.1.12.5\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">\u2032\u2032<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle x^{\\prime},y^{\\prime\\prime},f^{\\prime},f^{\\prime%\n\\prime}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "x^\\prime, y^{\\prime\\prime}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x^{\\prime },y^{\\prime \\prime }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-variant\" mathvariant=\"normal\">′<!-- \u2032 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-variant\" mathvariant=\"normal\">′<!-- \u2032 --><\/mi>\n <mi class=\"MJX-variant\" mathvariant=\"normal\">′<!-- \u2032 --><\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x^{\\prime },y^{\\prime \\prime }}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle x^{\\prime},y^{\\prime\\prime}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.1.cmml\">\n <msup id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\u2032<\/mo>\n <\/msup>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.6.1.cmml\">,<\/mo>\n <msup id=\"p1.1.m1.1.6.3\" xref=\"p1.1.m1.1.6.3.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\u2032\u2032<\/mo>\n <\/msup>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\u2032<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.3.cmml\" xref=\"p1.1.m1.1.6.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.3.1.cmml\" xref=\"p1.1.m1.1.6.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\u2032\u2032<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle x^{\\prime},y^{\\prime\\prime}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\dot{x}, \\ddot{x}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\dot {x}},{\\ddot {x}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>x<\/mi>\n <mo>˙<!-- \u02d9 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>x<\/mi>\n <mo>¨<!-- \u00a8 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\dot {x}},{\\ddot {x}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\dot{x},\\ddot{x}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.1.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\u02d9<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.4.1.cmml\">,<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u00a8<\/mo>\n <\/mover>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\u02d9<\/ci>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\u00a8<\/ci>\n <ci id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\ud835\udc65<\/ci>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\dot{x},\\ddot{x}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": " \\hat a \\ \\bar b \\ \\vec c",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\hat {a}}\\ {\\bar {b}}\\ {\\vec {c}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo stretchy=\"false\">^<!-- ^ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mtext> <\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>b<\/mi>\n <mo stretchy=\"false\">¯<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mtext> <\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>c<\/mi>\n <mo stretchy=\"false\">→<!-- \u2192 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\hat {a}}\\ {\\bar {b}}\\ {\\vec {c}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\hat{a}\\ \\bar{b}\\ \\vec{c}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mpadded width=\"+5pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">a<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">^<\/mo>\n <\/mover>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mpadded width=\"+5pt\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">b<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u00af<\/mo>\n <\/mover>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.2.cmml\">c<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\u2192<\/mo>\n <\/mover>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">^<\/ci>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\u00af<\/ci>\n <ci id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\ud835\udc4f<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\u2192<\/ci>\n <ci id=\"p1.1.m1.1.5.2.cmml\" xref=\"p1.1.m1.1.5.2\">\ud835\udc50<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\hat{a}\\ \\bar{b}\\ \\vec{c}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": " \\overrightarrow{a b} \\ \\overleftarrow{c d} \\ \\widehat{d e f}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\overrightarrow {ab}}\\ {\\overleftarrow {cd}}\\ {\\widehat {def}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mrow>\n <mo>→<!-- \u2192 --><\/mo>\n <\/mover>\n <\/mrow>\n <mtext> <\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>c<\/mi>\n <mi>d<\/mi>\n <\/mrow>\n <mo>←<!-- \u2190 --><\/mo>\n <\/mover>\n <\/mrow>\n <mtext> <\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>d<\/mi>\n <mi>e<\/mi>\n <mi>f<\/mi>\n <\/mrow>\n <mo>^<!-- ^ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\overrightarrow {ab}}\\ {\\overleftarrow {cd}}\\ {\\widehat {def}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\overrightarrow{ab}\\ \\overleftarrow{cd}\\ \\widehat{% def}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mpadded width=\"+5pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1\" xref=\"p1.1.m1.1.1.2.1.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.1.2.3\" xref=\"p1.1.m1.1.1.2.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.1.2.2\" xref=\"p1.1.m1.1.1.2.2.cmml\">b<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\u2192<\/mo>\n <\/mover>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mpadded width=\"+5pt\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\n <mrow id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">\n <mi id=\"p1.1.m1.1.3.2.1\" xref=\"p1.1.m1.1.3.2.1.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.3.2.3\" xref=\"p1.1.m1.1.3.2.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3.2.2\" xref=\"p1.1.m1.1.3.2.2.cmml\">d<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u2190<\/mo>\n <\/mover>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mrow id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.2.cmml\">\n <mi id=\"p1.1.m1.1.5.2.1\" xref=\"p1.1.m1.1.5.2.1.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.5.2.4\" xref=\"p1.1.m1.1.5.2.4.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5.2.2\" xref=\"p1.1.m1.1.5.2.2.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.5.2.4a\" xref=\"p1.1.m1.1.5.2.4.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5.2.3\" xref=\"p1.1.m1.1.5.2.3.cmml\">f<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">^<\/mo>\n <\/mover>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\u2192<\/ci>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n <times id=\"p1.1.m1.1.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.3\"\/>\n <ci id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\u2190<\/ci>\n <apply id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\n <times id=\"p1.1.m1.1.3.2.3.cmml\" xref=\"p1.1.m1.1.3.2.3\"\/>\n <ci id=\"p1.1.m1.1.3.2.1.cmml\" xref=\"p1.1.m1.1.3.2.1\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.3.2.2.cmml\" xref=\"p1.1.m1.1.3.2.2\">\ud835\udc51<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">^<\/ci>\n <apply id=\"p1.1.m1.1.5.2.cmml\" xref=\"p1.1.m1.1.5.2\">\n <times id=\"p1.1.m1.1.5.2.4.cmml\" xref=\"p1.1.m1.1.5.2.4\"\/>\n <ci id=\"p1.1.m1.1.5.2.1.cmml\" xref=\"p1.1.m1.1.5.2.1\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.5.2.2.cmml\" xref=\"p1.1.m1.1.5.2.2\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.5.2.3.cmml\" xref=\"p1.1.m1.1.5.2.3\">\ud835\udc53<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\overrightarrow{ab}\\ \\overleftarrow{cd}\\ \\widehat{%\ndef}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": " \\overline{g h i} \\ \\underline{j k l}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\overline {ghi}}\\ {\\underline {jkl}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>g<\/mi>\n <mi>h<\/mi>\n <mi>i<\/mi>\n <\/mrow>\n <mo accent=\"false\">¯<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <mtext> <\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <munder>\n <mrow>\n <mi>j<\/mi>\n <mi>k<\/mi>\n <mi>l<\/mi>\n <\/mrow>\n <mo>_<!-- _ --><\/mo>\n <\/munder>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\overline {ghi}}\\ {\\underline {jkl}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\overline{ghi}\\ \\underline{jkl}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mpadded width=\"+5pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1\" xref=\"p1.1.m1.1.1.2.1.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.1.2.4\" xref=\"p1.1.m1.1.1.2.4.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.1.2.2\" xref=\"p1.1.m1.1.1.2.2.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.1.2.4a\" xref=\"p1.1.m1.1.1.2.4.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.1.2.3\" xref=\"p1.1.m1.1.1.2.3.cmml\">i<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\u00af<\/mo>\n <\/mover>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <munder accentunder=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mrow id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">\n <mi id=\"p1.1.m1.1.3.2.1\" xref=\"p1.1.m1.1.3.2.1.cmml\">j<\/mi>\n <mo id=\"p1.1.m1.1.3.2.4\" xref=\"p1.1.m1.1.3.2.4.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3.2.2\" xref=\"p1.1.m1.1.3.2.2.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.3.2.4a\" xref=\"p1.1.m1.1.3.2.4.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3.2.3\" xref=\"p1.1.m1.1.3.2.3.cmml\">l<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u00af<\/mo>\n <\/munder>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\u00af<\/ci>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n <times id=\"p1.1.m1.1.1.2.4.cmml\" xref=\"p1.1.m1.1.1.2.4\"\/>\n <ci id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2\">\u210e<\/ci>\n <ci id=\"p1.1.m1.1.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.3\">\ud835\udc56<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\u00af<\/ci>\n <apply id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\n <times id=\"p1.1.m1.1.3.2.4.cmml\" xref=\"p1.1.m1.1.3.2.4\"\/>\n <ci id=\"p1.1.m1.1.3.2.1.cmml\" xref=\"p1.1.m1.1.3.2.1\">\ud835\udc57<\/ci>\n <ci id=\"p1.1.m1.1.3.2.2.cmml\" xref=\"p1.1.m1.1.3.2.2\">\ud835\udc58<\/ci>\n <ci id=\"p1.1.m1.1.3.2.3.cmml\" xref=\"p1.1.m1.1.3.2.3\">\ud835\udc59<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\overline{ghi}\\ \\underline{jkl}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\overset{\\frown} {AB}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\overset {\\frown }{AB}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>A<\/mi>\n <mi>B<\/mi>\n <\/mrow>\n <mo>⌢<!-- \u2322 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\overset {\\frown }{AB}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\overset{\\frown}{AB}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1\" xref=\"p1.1.m1.1.1.2.1.cmml\">A<\/mi>\n <mo id=\"p1.1.m1.1.1.2.3\" xref=\"p1.1.m1.1.1.2.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.1.2.2\" xref=\"p1.1.m1.1.1.2.2.cmml\">B<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\u2322<\/mo>\n <\/mover>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\u2322<\/ci>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n <times id=\"p1.1.m1.1.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.3\"\/>\n <ci id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\">\ud835\udc34<\/ci>\n <ci id=\"p1.1.m1.1.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2\">\ud835\udc35<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\overset{\\frown}{AB}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": " A \\xleftarrow{n+\\mu-1} B \\xrightarrow[T]{n\\pm i-1} C",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle A{\\xleftarrow {n+\\mu -1}}B{\\xrightarrow[{T}]{n\\pm i-1}}C}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>A<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mo>←<\/mo>\n <mpadded width=\"+0.556em\" lspace=\"0.389em\" voffset=\".15em\">\n <mi>n<\/mi>\n <mo>+<\/mo>\n <mi>μ<!-- \u03bc --><\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mn>1<\/mn>\n <\/mpadded>\n <\/mover>\n <\/mrow>\n <mi>B<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <munderover>\n <mo>→<\/mo>\n <mpadded width=\"+0.611em\" lspace=\"0.278em\" voffset=\"-.24em\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>T<\/mi>\n <\/mrow>\n <\/mpadded>\n <mpadded width=\"+0.611em\" lspace=\"0.278em\" voffset=\".15em\">\n <mi>n<\/mi>\n <mo>±<!-- \u00b1 --><\/mo>\n <mi>i<\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mn>1<\/mn>\n <\/mpadded>\n <\/munderover>\n <\/mrow>\n <mi>C<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle A{\\xleftarrow {n+\\mu -1}}B{\\xrightarrow[{T}]{n\\pm i-1}}C}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle A\\xleftarrow{n+\\mu-1}B\\xrightarrow[T]{n\\pm i-1}C}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">A<\/mi>\n <mover accent=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mo id=\"p1.1.m1.1.2.6\" xref=\"p1.1.m1.1.2.6.cmml\">\u2190<\/mo>\n <mrow id=\"p1.1.m1.1.2.7\" xref=\"p1.1.m1.1.2.7.cmml\">\n <mrow id=\"p1.1.m1.1.2.7.1\" xref=\"p1.1.m1.1.2.7.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.2.3\" xref=\"p1.1.m1.1.2.3.cmml\">\u03bc<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.2.4\" xref=\"p1.1.m1.1.2.4.cmml\">-<\/mo>\n <mn id=\"p1.1.m1.1.2.5\" xref=\"p1.1.m1.1.2.5.cmml\">1<\/mn>\n <\/mrow>\n <\/mover>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">B<\/mi>\n <munderover accent=\"true\" accentunder=\"true\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mo id=\"p1.1.m1.1.4.2.6\" xref=\"p1.1.m1.1.4.2.6.cmml\">\u2192<\/mo>\n <mo mathsize=\"142%\" stretchy=\"false\" id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\ud835\udc47<\/mo>\n <mrow id=\"p1.1.m1.1.4.2.7\" xref=\"p1.1.m1.1.4.2.7.cmml\">\n <mrow id=\"p1.1.m1.1.4.2.7.1\" xref=\"p1.1.m1.1.4.2.7.1.cmml\">\n <mi id=\"p1.1.m1.1.4.2.1\" xref=\"p1.1.m1.1.4.2.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.4.2.2\" xref=\"p1.1.m1.1.4.2.2.cmml\">\u00b1<\/mo>\n <mi id=\"p1.1.m1.1.4.2.3\" xref=\"p1.1.m1.1.4.2.3.cmml\">i<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4.2.4\" xref=\"p1.1.m1.1.4.2.4.cmml\">-<\/mo>\n <mn id=\"p1.1.m1.1.4.2.5\" xref=\"p1.1.m1.1.4.2.5.cmml\">1<\/mn>\n <\/mrow>\n <\/munderover>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">C<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <and id=\"p1.1.m1.1.6a.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.6b.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <apply id=\"p1.1.m1.1.2.7.cmml\" xref=\"p1.1.m1.1.2.7\">\n <minus id=\"p1.1.m1.1.2.4.cmml\" xref=\"p1.1.m1.1.2.4\"\/>\n <apply id=\"p1.1.m1.1.2.7.1.cmml\" xref=\"p1.1.m1.1.2.7.1\">\n <plus id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.2.3.cmml\" xref=\"p1.1.m1.1.2.3\">\ud835\udf07<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.5.cmml\" xref=\"p1.1.m1.1.2.5\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.2.6.cmml\" xref=\"p1.1.m1.1.2.6\">\u2190<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc34<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc35<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6c.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <ci id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\">\ud835\udc47<\/ci>\n <apply id=\"p1.1.m1.1.4.2.cmml\" xref=\"p1.1.m1.1.4\">\n <apply id=\"p1.1.m1.1.4.2.7.cmml\" xref=\"p1.1.m1.1.4.2.7\">\n <minus id=\"p1.1.m1.1.4.2.4.cmml\" xref=\"p1.1.m1.1.4.2.4\"\/>\n <apply id=\"p1.1.m1.1.4.2.7.1.cmml\" xref=\"p1.1.m1.1.4.2.7.1\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.2.2.cmml\" xref=\"p1.1.m1.1.4.2.2\">plus-or-minus<\/csymbol>\n <ci id=\"p1.1.m1.1.4.2.1.cmml\" xref=\"p1.1.m1.1.4.2.1\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.4.2.3.cmml\" xref=\"p1.1.m1.1.4.2.3\">\ud835\udc56<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.2.5.cmml\" xref=\"p1.1.m1.1.4.2.5\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.4.2.6.cmml\" xref=\"p1.1.m1.1.4.2.6\">\u2192<\/ci>\n <\/apply>\n <\/apply>\n <share href=\"#p1.1.m1.1.3.cmml\" id=\"p1.1.m1.1.6d.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc36<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle A\\xleftarrow{n+\\mu-1}B\\xrightarrow[T]{n\\pm i-1}C}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\overbrace{ 1+2+\\cdots+100 }^{5050}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\overbrace {1+2+\\cdots +100} ^{5050}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mover>\n <mrow class=\"MJX-TeXAtom-OP MJX-fixedlimits\">\n <mover>\n <mrow>\n <mn>1<\/mn>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <mo>+<\/mo>\n <mo>⋯<!-- \u22ef --><\/mo>\n <mo>+<\/mo>\n <mn>100<\/mn>\n <\/mrow>\n <mo>⏞<!-- \u23de --><\/mo>\n <\/mover>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>5050<\/mn>\n <\/mrow>\n <\/mover>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\overbrace {1+2+\\cdots +100} ^{5050}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\overbrace{1+2+\\cdots+100}^{5050}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mover id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n <mn id=\"p1.1.m1.1.1.2.1\" xref=\"p1.1.m1.1.1.2.1.cmml\">1<\/mn>\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1.2.2\" xref=\"p1.1.m1.1.1.2.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.1.2.3\" xref=\"p1.1.m1.1.1.2.3.cmml\">2<\/mn>\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1.2.2a\" xref=\"p1.1.m1.1.1.2.2.cmml\">+<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1.2.5\" xref=\"p1.1.m1.1.1.2.5.cmml\">\u22ef<\/mi>\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1.2.2b\" xref=\"p1.1.m1.1.1.2.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.1.2.9\" xref=\"p1.1.m1.1.1.2.9.cmml\">100<\/mn>\n <\/mrow>\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\u23de<\/mo>\n <\/mover>\n <mn id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">5050<\/mn>\n <\/mover>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\u23de<\/ci>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n <plus id=\"p1.1.m1.1.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.3\">2<\/cn>\n <ci id=\"p1.1.m1.1.1.2.5.cmml\" xref=\"p1.1.m1.1.1.2.5\">\u22ef<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.9.cmml\" xref=\"p1.1.m1.1.1.2.9\">100<\/cn>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">5050<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\overbrace{1+2+\\cdots+100}^{5050}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\underbrace{ a+b+\\cdots+z }_{26}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\underbrace {a+b+\\cdots +z} _{26}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mrow class=\"MJX-TeXAtom-OP MJX-fixedlimits\">\n <munder>\n <mrow>\n <mi>a<\/mi>\n <mo>+<\/mo>\n <mi>b<\/mi>\n <mo>+<\/mo>\n <mo>⋯<!-- \u22ef --><\/mo>\n <mo>+<\/mo>\n <mi>z<\/mi>\n <\/mrow>\n <mo>⏟<!-- \u23df --><\/mo>\n <\/munder>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>26<\/mn>\n <\/mrow>\n <\/munder>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\underbrace {a+b+\\cdots +z} _{26}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\underbrace{a+b+\\cdots+z}_{26}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <munder id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <munder accentunder=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1\" xref=\"p1.1.m1.1.1.2.1.cmml\">a<\/mi>\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1.2.2\" xref=\"p1.1.m1.1.1.2.2.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.1.2.3\" xref=\"p1.1.m1.1.1.2.3.cmml\">b<\/mi>\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1.2.2a\" xref=\"p1.1.m1.1.1.2.2.cmml\">+<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1.2.5\" xref=\"p1.1.m1.1.1.2.5.cmml\">\u22ef<\/mi>\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1.2.2b\" xref=\"p1.1.m1.1.1.2.2.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.1.2.7\" xref=\"p1.1.m1.1.1.2.7.cmml\">z<\/mi>\n <\/mrow>\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\u23df<\/mo>\n <\/munder>\n <mn id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">26<\/mn>\n <\/munder>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\u23df<\/ci>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n <plus id=\"p1.1.m1.1.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2\"\/>\n <ci id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.3\">\ud835\udc4f<\/ci>\n <ci id=\"p1.1.m1.1.1.2.5.cmml\" xref=\"p1.1.m1.1.1.2.5\">\u22ef<\/ci>\n <ci id=\"p1.1.m1.1.1.2.7.cmml\" xref=\"p1.1.m1.1.1.2.7\">\ud835\udc67<\/ci>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">26<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\underbrace{a+b+\\cdots+z}_{26}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sum_{k=1}^N k^2",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sum _{k=1}^{N}k^{2}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>k<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mi>k<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sum _{k=1}^{N}k^{2}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sum_{k=1}^{N}k^{2}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\n <munderover id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">1<\/mn>\n <\/mrow>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">N<\/mi>\n <\/munderover>\n <\/mstyle>\n <msup id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">k<\/mi>\n <mn id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.1.cmml\" xref=\"p1.1.m1.1.6.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.6.1.2.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.2.1.cmml\" xref=\"p1.1.m1.1.6.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc58<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc41<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc58<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sum_{k=1}^{N}k^{2}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\textstyle \\sum_{k=1}^N k^2",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\textstyle \\sum _{k=1}^{N}k^{2}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>k<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mi>k<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\textstyle \\sum _{k=1}^{N}k^{2}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\textstyle\\sum_{k=1}^{N}k^{2}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <msubsup id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">1<\/mn>\n <\/mrow>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">N<\/mi>\n <\/msubsup>\n <msup id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">k<\/mi>\n <mn id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.1.cmml\" xref=\"p1.1.m1.1.6.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.6.1.2.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.2.1.cmml\" xref=\"p1.1.m1.1.6.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc58<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc41<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc58<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\textstyle\\sum_{k=1}^{N}k^{2}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\frac{\\sum_{k=1}^N k^2}{a}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\frac {\\sum _{k=1}^{N}k^{2}}{a}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>k<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mi>k<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mi>a<\/mi>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\frac {\\sum _{k=1}^{N}k^{2}}{a}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\frac{\\sum_{k=1}^{N}k^{2}}{a}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mfrac id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n <msubsup id=\"p1.1.m1.1.1.2.6\" xref=\"p1.1.m1.1.1.2.6.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1.2.1\" xref=\"p1.1.m1.1.1.2.1.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.2.1\" xref=\"p1.1.m1.1.1.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1.1\" xref=\"p1.1.m1.1.1.2.2.1.1.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.1.2.2.1.2\" xref=\"p1.1.m1.1.1.2.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.1.2.2.1.3\" xref=\"p1.1.m1.1.1.2.2.1.3.cmml\">1<\/mn>\n <\/mrow>\n <mi id=\"p1.1.m1.1.1.2.3.1\" xref=\"p1.1.m1.1.1.2.3.1.cmml\">N<\/mi>\n <\/msubsup>\n <msup id=\"p1.1.m1.1.1.2.7\" xref=\"p1.1.m1.1.1.2.7.cmml\">\n <mi id=\"p1.1.m1.1.1.2.4\" xref=\"p1.1.m1.1.1.2.4.cmml\">k<\/mi>\n <mn id=\"p1.1.m1.1.1.2.5.1\" xref=\"p1.1.m1.1.1.2.5.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <mi id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">a<\/mi>\n <\/mfrac>\n <\/mstyle>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <divide id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n <apply id=\"p1.1.m1.1.1.2.6.cmml\" xref=\"p1.1.m1.1.1.2.6\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.6.1.cmml\" xref=\"p1.1.m1.1.1.2.6\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.1.2.6.2.cmml\" xref=\"p1.1.m1.1.1.2.6\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.6.2.1.cmml\" xref=\"p1.1.m1.1.1.2.6\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1\">\n <eq id=\"p1.1.m1.1.1.2.2.1.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.1\">\ud835\udc58<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.3.cmml\" xref=\"p1.1.m1.1.1.2.2.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.1.2.3.1.cmml\" xref=\"p1.1.m1.1.1.2.3.1\">\ud835\udc41<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.2.7.cmml\" xref=\"p1.1.m1.1.1.2.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.7.1.cmml\" xref=\"p1.1.m1.1.1.2.7\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.2.4.cmml\" xref=\"p1.1.m1.1.1.2.4\">\ud835\udc58<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.5.1.cmml\" xref=\"p1.1.m1.1.1.2.5.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\frac{\\sum_{k=1}^{N}k^{2}}{a}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\frac{\\displaystyle \\sum_{k=1}^N k^2}{a}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\frac {\\displaystyle \\sum _{k=1}^{N}k^{2}}{a}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>k<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mi>k<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <mi>a<\/mi>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\frac {\\displaystyle \\sum _{k=1}^{N}k^{2}}{a}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\frac{\\displaystyle\\sum_{k=1}^{N}k^{2}}{a}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mfrac id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1.2.6\" xref=\"p1.1.m1.1.1.2.6.cmml\">\n <munderover id=\"p1.1.m1.1.1.2.6a\" xref=\"p1.1.m1.1.1.2.6.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1.2.1\" xref=\"p1.1.m1.1.1.2.1.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.2.1\" xref=\"p1.1.m1.1.1.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1.1\" xref=\"p1.1.m1.1.1.2.2.1.1.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.1.2.2.1.2\" xref=\"p1.1.m1.1.1.2.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.1.2.2.1.3\" xref=\"p1.1.m1.1.1.2.2.1.3.cmml\">1<\/mn>\n <\/mrow>\n <mi id=\"p1.1.m1.1.1.2.3.1\" xref=\"p1.1.m1.1.1.2.3.1.cmml\">N<\/mi>\n <\/munderover>\n <\/mstyle>\n <msup id=\"p1.1.m1.1.1.2.7\" xref=\"p1.1.m1.1.1.2.7.cmml\">\n <mi id=\"p1.1.m1.1.1.2.4\" xref=\"p1.1.m1.1.1.2.4.cmml\">k<\/mi>\n <mn id=\"p1.1.m1.1.1.2.5.1\" xref=\"p1.1.m1.1.1.2.5.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <mi id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">a<\/mi>\n <\/mfrac>\n <\/mstyle>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <divide id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n <apply id=\"p1.1.m1.1.1.2.6.cmml\" xref=\"p1.1.m1.1.1.2.6\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.6.1.cmml\" xref=\"p1.1.m1.1.1.2.6\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.1.2.6.2.cmml\" xref=\"p1.1.m1.1.1.2.6\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.6.2.1.cmml\" xref=\"p1.1.m1.1.1.2.6\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1\">\n <eq id=\"p1.1.m1.1.1.2.2.1.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.1\">\ud835\udc58<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.3.cmml\" xref=\"p1.1.m1.1.1.2.2.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.1.2.3.1.cmml\" xref=\"p1.1.m1.1.1.2.3.1\">\ud835\udc41<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.2.7.cmml\" xref=\"p1.1.m1.1.1.2.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.7.1.cmml\" xref=\"p1.1.m1.1.1.2.7\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.2.4.cmml\" xref=\"p1.1.m1.1.1.2.4\">\ud835\udc58<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.5.1.cmml\" xref=\"p1.1.m1.1.1.2.5.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\frac{\\displaystyle\\sum_{k=1}^{N}k^{2}}{a}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\frac{\\sum\\limits^{^N}_{k=1} k^2}{a}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\frac {\\sum \\limits _{k=1}^{^{N}}k^{2}}{a}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <munderover>\n <mo movablelimits=\"false\">∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>k<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msup>\n <mi><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <\/munderover>\n <msup>\n <mi>k<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mi>a<\/mi>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\frac {\\sum \\limits _{k=1}^{^{N}}k^{2}}{a}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\frac{\\sum\\limits^{{}^{N}}_{k=1}k^{2}}{a}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mfrac id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n <munderover id=\"p1.1.m1.1.1.2.6\" xref=\"p1.1.m1.1.1.2.6.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1.2.1\" xref=\"p1.1.m1.1.1.2.1.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.3.1\" xref=\"p1.1.m1.1.1.2.3.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.3.1.1\" xref=\"p1.1.m1.1.1.2.3.1.1.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.1.2.3.1.2\" xref=\"p1.1.m1.1.1.2.3.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.1.2.3.1.3\" xref=\"p1.1.m1.1.1.2.3.1.3.cmml\">1<\/mn>\n <\/mrow>\n <msup id=\"p1.1.m1.1.1.2.2.1\" xref=\"p1.1.m1.1.1.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1a\" xref=\"p1.1.m1.1.1.2.2.1.cmml\"\/>\n <mi id=\"p1.1.m1.1.1.2.2.1.1.1\" xref=\"p1.1.m1.1.1.2.2.1.1.1.cmml\">N<\/mi>\n <\/msup>\n <\/munderover>\n <msup id=\"p1.1.m1.1.1.2.7\" xref=\"p1.1.m1.1.1.2.7.cmml\">\n <mi id=\"p1.1.m1.1.1.2.4\" xref=\"p1.1.m1.1.1.2.4.cmml\">k<\/mi>\n <mn id=\"p1.1.m1.1.1.2.5.1\" xref=\"p1.1.m1.1.1.2.5.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <mi id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">a<\/mi>\n <\/mfrac>\n <\/mstyle>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <divide id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n <apply id=\"p1.1.m1.1.1.2.6.cmml\" xref=\"p1.1.m1.1.1.2.6\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.6.1.cmml\" xref=\"p1.1.m1.1.1.2.6\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.1.2.6.2.cmml\" xref=\"p1.1.m1.1.1.2.6\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.6.2.1.cmml\" xref=\"p1.1.m1.1.1.2.6\">superscript<\/csymbol>\n <sum id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1\">\n <ci id=\"p1.1.m1.1.1.2.2.1.1.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.1.1\">\ud835\udc41<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.2.3.1.cmml\" xref=\"p1.1.m1.1.1.2.3.1\">\n <eq id=\"p1.1.m1.1.1.2.3.1.2.cmml\" xref=\"p1.1.m1.1.1.2.3.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.2.3.1.1.cmml\" xref=\"p1.1.m1.1.1.2.3.1.1\">\ud835\udc58<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.3.1.3.cmml\" xref=\"p1.1.m1.1.1.2.3.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.2.7.cmml\" xref=\"p1.1.m1.1.1.2.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.7.1.cmml\" xref=\"p1.1.m1.1.1.2.7\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.2.4.cmml\" xref=\"p1.1.m1.1.1.2.4\">\ud835\udc58<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.5.1.cmml\" xref=\"p1.1.m1.1.1.2.5.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\frac{\\sum\\limits^{{}^{N}}_{k=1}k^{2}}{a}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\prod_{i=1}^N x_i",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\prod _{i=1}^{N}x_{i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>∏<!-- \u220f --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\prod _{i=1}^{N}x_{i}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\prod_{i=1}^{N}x_{i}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\n <munderover id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u220f<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">1<\/mn>\n <\/mrow>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">N<\/mi>\n <\/munderover>\n <\/mstyle>\n <msub id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">x<\/mi>\n <mi id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">i<\/mi>\n <\/msub>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.1.cmml\" xref=\"p1.1.m1.1.6.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.6.1.2.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.2.1.cmml\" xref=\"p1.1.m1.1.6.1\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">product<\/csymbol>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc41<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\ud835\udc56<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\prod_{i=1}^{N}x_{i}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\textstyle \\prod_{i=1}^N x_i",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\textstyle \\prod _{i=1}^{N}x_{i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <munderover>\n <mo>∏<!-- \u220f --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\textstyle \\prod _{i=1}^{N}x_{i}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\textstyle\\prod_{i=1}^{N}x_{i}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <msubsup id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u220f<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">1<\/mn>\n <\/mrow>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">N<\/mi>\n <\/msubsup>\n <msub id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">x<\/mi>\n <mi id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">i<\/mi>\n <\/msub>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.1.cmml\" xref=\"p1.1.m1.1.6.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.6.1.2.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.2.1.cmml\" xref=\"p1.1.m1.1.6.1\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">product<\/csymbol>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc41<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\ud835\udc56<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\textstyle\\prod_{i=1}^{N}x_{i}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\coprod_{i=1}^N x_i",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\coprod _{i=1}^{N}x_{i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>∐<!-- \u2210 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\coprod _{i=1}^{N}x_{i}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\coprod_{i=1}^{N}x_{i}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\n <munderover id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2210<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">1<\/mn>\n <\/mrow>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">N<\/mi>\n <\/munderover>\n <\/mstyle>\n <msub id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">x<\/mi>\n <mi id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">i<\/mi>\n <\/msub>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.1.cmml\" xref=\"p1.1.m1.1.6.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.6.1.2.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.2.1.cmml\" xref=\"p1.1.m1.1.6.1\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">coproduct<\/csymbol>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc41<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\ud835\udc56<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\coprod_{i=1}^{N}x_{i}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\textstyle \\coprod_{i=1}^N x_i",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\textstyle \\coprod _{i=1}^{N}x_{i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <munderover>\n <mo>∐<!-- \u2210 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\textstyle \\coprod _{i=1}^{N}x_{i}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\textstyle\\coprod_{i=1}^{N}x_{i}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <msubsup id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2210<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">1<\/mn>\n <\/mrow>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">N<\/mi>\n <\/msubsup>\n <msub id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">x<\/mi>\n <mi id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">i<\/mi>\n <\/msub>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.1.cmml\" xref=\"p1.1.m1.1.6.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.6.1.2.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.2.1.cmml\" xref=\"p1.1.m1.1.6.1\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">coproduct<\/csymbol>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc41<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\ud835\udc56<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\textstyle\\coprod_{i=1}^{N}x_{i}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\lim_{n \\to \\infty}x_n",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\lim _{n\\to \\infty }x_{n}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo movablelimits=\"true\" form=\"prefix\">lim<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo stretchy=\"false\">→<!-- \u2192 --><\/mo>\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munder>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\lim _{n\\to \\infty }x_{n}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\lim_{n\\to\\infty}x_{n}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <munder id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">lim<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">\u2192<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">\u221e<\/mi>\n <\/mrow>\n <\/munder>\n <mo id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5.cmml\">\u2061<\/mo>\n <msub id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.2.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mi id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">n<\/mi>\n <\/msub>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.1\">subscript<\/csymbol>\n <limit id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\u2192<\/ci>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc5b<\/ci>\n <infinity id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\"\/>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.5.2.cmml\" xref=\"p1.1.m1.1.5.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.2.1.cmml\" xref=\"p1.1.m1.1.5.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\lim_{n\\to\\infty}x_{n}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\textstyle \\lim_{n \\to \\infty}x_n",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\textstyle \\lim _{n\\to \\infty }x_{n}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <munder>\n <mo movablelimits=\"true\" form=\"prefix\">lim<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo stretchy=\"false\">→<!-- \u2192 --><\/mo>\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munder>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\textstyle \\lim _{n\\to \\infty }x_{n}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\textstyle\\lim_{n\\to\\infty}x_{n}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <msub id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">lim<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">\u2192<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">\u221e<\/mi>\n <\/mrow>\n <\/msub>\n <mo id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5.cmml\">\u2061<\/mo>\n <msub id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.2.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mi id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">n<\/mi>\n <\/msub>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.1\">subscript<\/csymbol>\n <limit id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\u2192<\/ci>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc5b<\/ci>\n <infinity id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\"\/>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.5.2.cmml\" xref=\"p1.1.m1.1.5.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.2.1.cmml\" xref=\"p1.1.m1.1.5.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\textstyle\\lim_{n\\to\\infty}x_{n}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\int\\limits_{1}^{3}\\frac{e^3\/x}{x^2}\\, dx",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int \\limits _{1}^{3}{\\frac {e^{3}\/x}{x^{2}}}\\,dx}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/munderover>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mi>x<\/mi>\n <\/mrow>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mfrac>\n <\/mrow>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int \\limits _{1}^{3}{\\frac {e^{3}\/x}{x^{2}}}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\int\\limits_{1}^{3}\\frac{e^{3}\/x}{x^{2}}\\,dx}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\n <munderover id=\"p1.1.m1.1.8.1a\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222b<\/mo>\n <mn id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">1<\/mn>\n <mn id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">3<\/mn>\n <\/munderover>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\n <mfrac id=\"p1.1.m1.1.4b\" xref=\"p1.1.m1.1.4.cmml\">\n <mrow id=\"p1.1.m1.1.4.2\" xref=\"p1.1.m1.1.4.2.cmml\">\n <msup id=\"p1.1.m1.1.4.2.5\" xref=\"p1.1.m1.1.4.2.5.cmml\">\n <mi id=\"p1.1.m1.1.4.2.1\" xref=\"p1.1.m1.1.4.2.1.cmml\">e<\/mi>\n <mn id=\"p1.1.m1.1.4.2.2.1\" xref=\"p1.1.m1.1.4.2.2.1.cmml\">3<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.4.2.3\" xref=\"p1.1.m1.1.4.2.3.cmml\">\/<\/mo>\n <mi id=\"p1.1.m1.1.4.2.4\" xref=\"p1.1.m1.1.4.2.4.cmml\">x<\/mi>\n <\/mrow>\n <msup id=\"p1.1.m1.1.4.3\" xref=\"p1.1.m1.1.4.3.cmml\">\n <mi id=\"p1.1.m1.1.4.3.1\" xref=\"p1.1.m1.1.4.3.1.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.4.3.2.1\" xref=\"p1.1.m1.1.4.3.2.1.cmml\">2<\/mn>\n <\/msup>\n <\/mfrac>\n <\/mstyle>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.8.2.1\" xref=\"p1.1.m1.1.8.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.8.2.2\" xref=\"p1.1.m1.1.8.2.2.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">x<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.8.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.8.1.2.cmml\" xref=\"p1.1.m1.1.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.2.1.cmml\" xref=\"p1.1.m1.1.8.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">1<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">3<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.8.2.cmml\" xref=\"p1.1.m1.1.8.2\">\n <times id=\"p1.1.m1.1.8.2.1.cmml\" xref=\"p1.1.m1.1.8.2.1\"\/>\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <divide id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <apply id=\"p1.1.m1.1.4.2.cmml\" xref=\"p1.1.m1.1.4.2\">\n <divide id=\"p1.1.m1.1.4.2.3.cmml\" xref=\"p1.1.m1.1.4.2.3\"\/>\n <apply id=\"p1.1.m1.1.4.2.5.cmml\" xref=\"p1.1.m1.1.4.2.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.4.2.5.1.cmml\" xref=\"p1.1.m1.1.4.2.5\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.2.1.cmml\" xref=\"p1.1.m1.1.4.2.1\">\ud835\udc52<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.2.2.1.cmml\" xref=\"p1.1.m1.1.4.2.2.1\">3<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.4.2.4.cmml\" xref=\"p1.1.m1.1.4.2.4\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.4.3.cmml\" xref=\"p1.1.m1.1.4.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.4.3.3.cmml\" xref=\"p1.1.m1.1.4.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.3.1.cmml\" xref=\"p1.1.m1.1.4.3.1\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.3.2.1.cmml\" xref=\"p1.1.m1.1.4.3.2.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.8.2.2.cmml\" xref=\"p1.1.m1.1.8.2.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\int\\limits_{1}^{3}\\frac{e^{3}\/x}{x^{2}}\\,dx}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\int_{1}^{3}\\frac{e^3\/x}{x^2}\\, dx",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int _{1}^{3}{\\frac {e^{3}\/x}{x^{2}}}\\,dx}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msubsup>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msubsup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mi>x<\/mi>\n <\/mrow>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mfrac>\n <\/mrow>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int _{1}^{3}{\\frac {e^{3}\/x}{x^{2}}}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\int_{1}^{3}\\frac{e^{3}\/x}{x^{2}}\\,dx}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\n <msubsup id=\"p1.1.m1.1.8.1a\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222b<\/mo>\n <mn id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">1<\/mn>\n <mn id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">3<\/mn>\n <\/msubsup>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\n <mfrac id=\"p1.1.m1.1.4b\" xref=\"p1.1.m1.1.4.cmml\">\n <mrow id=\"p1.1.m1.1.4.2\" xref=\"p1.1.m1.1.4.2.cmml\">\n <msup id=\"p1.1.m1.1.4.2.5\" xref=\"p1.1.m1.1.4.2.5.cmml\">\n <mi id=\"p1.1.m1.1.4.2.1\" xref=\"p1.1.m1.1.4.2.1.cmml\">e<\/mi>\n <mn id=\"p1.1.m1.1.4.2.2.1\" xref=\"p1.1.m1.1.4.2.2.1.cmml\">3<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.4.2.3\" xref=\"p1.1.m1.1.4.2.3.cmml\">\/<\/mo>\n <mi id=\"p1.1.m1.1.4.2.4\" xref=\"p1.1.m1.1.4.2.4.cmml\">x<\/mi>\n <\/mrow>\n <msup id=\"p1.1.m1.1.4.3\" xref=\"p1.1.m1.1.4.3.cmml\">\n <mi id=\"p1.1.m1.1.4.3.1\" xref=\"p1.1.m1.1.4.3.1.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.4.3.2.1\" xref=\"p1.1.m1.1.4.3.2.1.cmml\">2<\/mn>\n <\/msup>\n <\/mfrac>\n <\/mstyle>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.8.2.1\" xref=\"p1.1.m1.1.8.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.8.2.2\" xref=\"p1.1.m1.1.8.2.2.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">x<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.8.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.8.1.2.cmml\" xref=\"p1.1.m1.1.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.2.1.cmml\" xref=\"p1.1.m1.1.8.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">1<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">3<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.8.2.cmml\" xref=\"p1.1.m1.1.8.2\">\n <times id=\"p1.1.m1.1.8.2.1.cmml\" xref=\"p1.1.m1.1.8.2.1\"\/>\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <divide id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <apply id=\"p1.1.m1.1.4.2.cmml\" xref=\"p1.1.m1.1.4.2\">\n <divide id=\"p1.1.m1.1.4.2.3.cmml\" xref=\"p1.1.m1.1.4.2.3\"\/>\n <apply id=\"p1.1.m1.1.4.2.5.cmml\" xref=\"p1.1.m1.1.4.2.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.4.2.5.1.cmml\" xref=\"p1.1.m1.1.4.2.5\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.2.1.cmml\" xref=\"p1.1.m1.1.4.2.1\">\ud835\udc52<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.2.2.1.cmml\" xref=\"p1.1.m1.1.4.2.2.1\">3<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.4.2.4.cmml\" xref=\"p1.1.m1.1.4.2.4\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.4.3.cmml\" xref=\"p1.1.m1.1.4.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.4.3.3.cmml\" xref=\"p1.1.m1.1.4.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.3.1.cmml\" xref=\"p1.1.m1.1.4.3.1\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.3.2.1.cmml\" xref=\"p1.1.m1.1.4.3.2.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.8.2.2.cmml\" xref=\"p1.1.m1.1.8.2.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\int_{1}^{3}\\frac{e^{3}\/x}{x^{2}}\\,dx}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\textstyle \\int\\limits_{-N}^{N} e^x\\, dx",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\textstyle \\int \\limits _{-N}^{N}e^{x}\\,dx}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <munderover>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>−<!-- \u2212 --><\/mo>\n <mi>N<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\textstyle \\int \\limits _{-N}^{N}e^{x}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\textstyle\\int\\limits_{-N}^{N}e^{x}\\,dx}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <munderover id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222b<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mo id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">N<\/mi>\n <\/mrow>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">N<\/mi>\n <\/munderover>\n <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.2.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.9.2.2\" xref=\"p1.1.m1.1.9.2.2.cmml\">\n <msup id=\"p1.1.m1.1.9.2.2a\" xref=\"p1.1.m1.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">x<\/mi>\n <\/msup>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.9.2.1\" xref=\"p1.1.m1.1.9.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.9.2.3\" xref=\"p1.1.m1.1.9.2.3.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">x<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.9.1.2.cmml\" xref=\"p1.1.m1.1.9.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.1.2.1.cmml\" xref=\"p1.1.m1.1.9.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <minus id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\ud835\udc41<\/ci>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc41<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.2.cmml\" xref=\"p1.1.m1.1.9.2\">\n <times id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.9.2.1\"\/>\n <apply id=\"p1.1.m1.1.9.2.2.cmml\" xref=\"p1.1.m1.1.9.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.2.1.cmml\" xref=\"p1.1.m1.1.9.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.2.3.cmml\" xref=\"p1.1.m1.1.9.2.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\textstyle\\int\\limits_{-N}^{N}e^{x}\\,dx}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\textstyle \\int_{-N}^{N} e^x\\, dx",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\textstyle \\int _{-N}^{N}e^{x}\\,dx}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <msubsup>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>−<!-- \u2212 --><\/mo>\n <mi>N<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/msubsup>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\textstyle \\int _{-N}^{N}e^{x}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\textstyle\\int_{-N}^{N}e^{x}\\,dx}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <msubsup id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222b<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mo id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">N<\/mi>\n <\/mrow>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">N<\/mi>\n <\/msubsup>\n <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.2.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.9.2.2\" xref=\"p1.1.m1.1.9.2.2.cmml\">\n <msup id=\"p1.1.m1.1.9.2.2a\" xref=\"p1.1.m1.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">x<\/mi>\n <\/msup>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.9.2.1\" xref=\"p1.1.m1.1.9.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.9.2.3\" xref=\"p1.1.m1.1.9.2.3.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">x<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.9.1.2.cmml\" xref=\"p1.1.m1.1.9.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.1.2.1.cmml\" xref=\"p1.1.m1.1.9.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <minus id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\ud835\udc41<\/ci>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc41<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.2.cmml\" xref=\"p1.1.m1.1.9.2\">\n <times id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.9.2.1\"\/>\n <apply id=\"p1.1.m1.1.9.2.2.cmml\" xref=\"p1.1.m1.1.9.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.2.1.cmml\" xref=\"p1.1.m1.1.9.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.2.3.cmml\" xref=\"p1.1.m1.1.9.2.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\textstyle\\int_{-N}^{N}e^{x}\\,dx}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\iint\\limits_D \\, dx\\,dy",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\iint \\limits _{D}\\,dx\\,dy}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo>∬<!-- \u222c --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>D<\/mi>\n <\/mrow>\n <\/munder>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\iint \\limits _{D}\\,dx\\,dy}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\iint\\limits_{D}\\,dx\\,dy}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\n <munder id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222c<\/mo>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">D<\/mi>\n <\/munder>\n <\/mstyle>\n <\/mpadded>\n <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.2.cmml\">\n <mrow id=\"p1.1.m1.1.9.2.2\" xref=\"p1.1.m1.1.9.2.2.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udc51<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5.cmml\">x<\/mi>\n <\/mpadded>\n <\/mrow>\n <mo id=\"p1.1.m1.1.9.2.1\" xref=\"p1.1.m1.1.9.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.9.2.3\" xref=\"p1.1.m1.1.9.2.3.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">y<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">double-integral<\/csymbol>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc37<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.2.cmml\" xref=\"p1.1.m1.1.9.2\">\n <times id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.9.2.1\"\/>\n <apply id=\"p1.1.m1.1.9.2.2.cmml\" xref=\"p1.1.m1.1.9.2.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.2.3.cmml\" xref=\"p1.1.m1.1.9.2.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc66<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\iint\\limits_{D}\\,dx\\,dy}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\iiint\\limits_E \\, dx\\,dy\\,dz",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\iiint \\limits _{E}\\,dx\\,dy\\,dz}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo>∭<!-- \u222d --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>E<\/mi>\n <\/mrow>\n <\/munder>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>z<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\iiint \\limits _{E}\\,dx\\,dy\\,dz}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\iiint\\limits_{E}\\,dx\\,dy\\,dz}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\n <munder id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222d<\/mo>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">E<\/mi>\n <\/munder>\n <\/mstyle>\n <\/mpadded>\n <mrow id=\"p1.1.m1.1.12.2\" xref=\"p1.1.m1.1.12.2.cmml\">\n <mrow id=\"p1.1.m1.1.12.2.2\" xref=\"p1.1.m1.1.12.2.2.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udc51<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5.cmml\">x<\/mi>\n <\/mpadded>\n <\/mrow>\n <mo id=\"p1.1.m1.1.12.2.1\" xref=\"p1.1.m1.1.12.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.12.2.3\" xref=\"p1.1.m1.1.12.2.3.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udc51<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">y<\/mi>\n <\/mpadded>\n <\/mrow>\n <mo id=\"p1.1.m1.1.12.2.1a\" xref=\"p1.1.m1.1.12.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.12.2.4\" xref=\"p1.1.m1.1.12.2.4.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">z<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <apply id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.12.1.1.cmml\" xref=\"p1.1.m1.1.12.1\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">triple-integral<\/csymbol>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc38<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.12.2.cmml\" xref=\"p1.1.m1.1.12.2\">\n <times id=\"p1.1.m1.1.12.2.1.cmml\" xref=\"p1.1.m1.1.12.2.1\"\/>\n <apply id=\"p1.1.m1.1.12.2.2.cmml\" xref=\"p1.1.m1.1.12.2.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.12.2.3.cmml\" xref=\"p1.1.m1.1.12.2.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc66<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.12.2.4.cmml\" xref=\"p1.1.m1.1.12.2.4\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc67<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\iiint\\limits_{E}\\,dx\\,dy\\,dz}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\iiiint\\limits_F \\, dx\\,dy\\,dz\\,dt",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\iiiint \\limits _{F}\\,dx\\,dy\\,dz\\,dt}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo>⨌<!-- \u2a0c --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>F<\/mi>\n <\/mrow>\n <\/munder>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>z<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>t<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\iiiint \\limits _{F}\\,dx\\,dy\\,dz\\,dt}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\iiiint\\limits_{F}\\,dx\\,dy\\,dz\\,dt}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.15.1a\" xref=\"p1.1.m1.1.15.1.cmml\">\n <munder id=\"p1.1.m1.1.15.1b\" xref=\"p1.1.m1.1.15.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2a0c<\/mo>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">F<\/mi>\n <\/munder>\n <\/mstyle>\n <\/mpadded>\n <mrow id=\"p1.1.m1.1.15.2\" xref=\"p1.1.m1.1.15.2.cmml\">\n <mrow id=\"p1.1.m1.1.15.2.2\" xref=\"p1.1.m1.1.15.2.2.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udc51<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5.cmml\">x<\/mi>\n <\/mpadded>\n <\/mrow>\n <mo id=\"p1.1.m1.1.15.2.1\" xref=\"p1.1.m1.1.15.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.15.2.3\" xref=\"p1.1.m1.1.15.2.3.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udc51<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">y<\/mi>\n <\/mpadded>\n <\/mrow>\n <mo id=\"p1.1.m1.1.15.2.1a\" xref=\"p1.1.m1.1.15.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.15.2.4\" xref=\"p1.1.m1.1.15.2.4.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\ud835\udc51<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi id=\"p1.1.m1.1.11a\" xref=\"p1.1.m1.1.11.cmml\">z<\/mi>\n <\/mpadded>\n <\/mrow>\n <mo id=\"p1.1.m1.1.15.2.1b\" xref=\"p1.1.m1.1.15.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.15.2.5\" xref=\"p1.1.m1.1.15.2.5.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">t<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n <apply id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.1.1.cmml\" xref=\"p1.1.m1.1.15.1\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">quadruple-integral<\/csymbol>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc39<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.2.cmml\" xref=\"p1.1.m1.1.15.2\">\n <times id=\"p1.1.m1.1.15.2.1.cmml\" xref=\"p1.1.m1.1.15.2.1\"\/>\n <apply id=\"p1.1.m1.1.15.2.2.cmml\" xref=\"p1.1.m1.1.15.2.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.2.3.cmml\" xref=\"p1.1.m1.1.15.2.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc66<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.2.4.cmml\" xref=\"p1.1.m1.1.15.2.4\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc67<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.2.5.cmml\" xref=\"p1.1.m1.1.15.2.5\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc61<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\iiiint\\limits_{F}\\,dx\\,dy\\,dz\\,dt}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\int_{(x,y)\\in C} x^3\\, dx + 4y^2\\, dy",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int _{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>∈<!-- \u2208 --><\/mo>\n <mi>C<\/mi>\n <\/mrow>\n <\/msub>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mn>4<\/mn>\n <msup>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int _{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\int_{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n <mrow id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.15.1.1\" xref=\"p1.1.m1.1.15.1.1.cmml\">\n <msub id=\"p1.1.m1.1.15.1.1a\" xref=\"p1.1.m1.1.15.1.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222b<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mrow id=\"p1.1.m1.1.2.1.8\" xref=\"p1.1.m1.1.2.1.8.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.8.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.8.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.2.1.4\" xref=\"p1.1.m1.1.2.1.4.cmml\">y<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2.1.5\" xref=\"p1.1.m1.1.2.1.8.1.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.2.1.6\" xref=\"p1.1.m1.1.2.1.6.cmml\">\u2208<\/mo>\n <mi id=\"p1.1.m1.1.2.1.7\" xref=\"p1.1.m1.1.2.1.7.cmml\">C<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.15.1.2\" xref=\"p1.1.m1.1.15.1.2.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.15.1.2.2\" xref=\"p1.1.m1.1.15.1.2.2.cmml\">\n <msup id=\"p1.1.m1.1.15.1.2.2a\" xref=\"p1.1.m1.1.15.1.2.2.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">3<\/mn>\n <\/msup>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.15.1.2.1\" xref=\"p1.1.m1.1.15.1.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.15.1.2.3\" xref=\"p1.1.m1.1.15.1.2.3.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">x<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.15.2\" xref=\"p1.1.m1.1.15.2.cmml\">\n <mn id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">4<\/mn>\n <mo id=\"p1.1.m1.1.15.2.1\" xref=\"p1.1.m1.1.15.2.1.cmml\">\u2062<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.15.2.2\" xref=\"p1.1.m1.1.15.2.2.cmml\">\n <msup id=\"p1.1.m1.1.15.2.2a\" xref=\"p1.1.m1.1.15.2.2.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">y<\/mi>\n <mn id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">2<\/mn>\n <\/msup>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.15.2.1a\" xref=\"p1.1.m1.1.15.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.15.2.1b\" xref=\"p1.1.m1.1.15.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">y<\/mi>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n <plus id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <apply id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\">\n <apply id=\"p1.1.m1.1.15.1.1.cmml\" xref=\"p1.1.m1.1.15.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.1.1.1.cmml\" xref=\"p1.1.m1.1.15.1.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <in id=\"p1.1.m1.1.2.1.6.cmml\" xref=\"p1.1.m1.1.2.1.6\"\/>\n <interval closure=\"open\" id=\"p1.1.m1.1.2.1.8.1.cmml\" xref=\"p1.1.m1.1.2.1.8\">\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.2.1.4.cmml\" xref=\"p1.1.m1.1.2.1.4\">\ud835\udc66<\/ci>\n <\/interval>\n <ci id=\"p1.1.m1.1.2.1.7.cmml\" xref=\"p1.1.m1.1.2.1.7\">\ud835\udc36<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.1.2.cmml\" xref=\"p1.1.m1.1.15.1.2\">\n <times id=\"p1.1.m1.1.15.1.2.1.cmml\" xref=\"p1.1.m1.1.15.1.2.1\"\/>\n <apply id=\"p1.1.m1.1.15.1.2.2.cmml\" xref=\"p1.1.m1.1.15.1.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.1.2.2.1.cmml\" xref=\"p1.1.m1.1.15.1.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\">3<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.1.2.3.cmml\" xref=\"p1.1.m1.1.15.1.2.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.2.cmml\" xref=\"p1.1.m1.1.15.2\">\n <times id=\"p1.1.m1.1.15.2.1.cmml\" xref=\"p1.1.m1.1.15.2.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">4<\/cn>\n <apply id=\"p1.1.m1.1.15.2.2.cmml\" xref=\"p1.1.m1.1.15.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.2.2.1.cmml\" xref=\"p1.1.m1.1.15.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc66<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">2<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc66<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\int_{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\oint_{(x,y)\\in C} x^3\\, dx + 4y^2\\, dy",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\oint _{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mo>∮<!-- \u222e --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>∈<!-- \u2208 --><\/mo>\n <mi>C<\/mi>\n <\/mrow>\n <\/msub>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mn>4<\/mn>\n <msup>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\oint _{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\oint_{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n <mrow id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.15.1.1\" xref=\"p1.1.m1.1.15.1.1.cmml\">\n <msub id=\"p1.1.m1.1.15.1.1a\" xref=\"p1.1.m1.1.15.1.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222e<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mrow id=\"p1.1.m1.1.2.1.8\" xref=\"p1.1.m1.1.2.1.8.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.8.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.8.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.2.1.4\" xref=\"p1.1.m1.1.2.1.4.cmml\">y<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2.1.5\" xref=\"p1.1.m1.1.2.1.8.1.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.2.1.6\" xref=\"p1.1.m1.1.2.1.6.cmml\">\u2208<\/mo>\n <mi id=\"p1.1.m1.1.2.1.7\" xref=\"p1.1.m1.1.2.1.7.cmml\">C<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.15.1.2\" xref=\"p1.1.m1.1.15.1.2.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.15.1.2.2\" xref=\"p1.1.m1.1.15.1.2.2.cmml\">\n <msup id=\"p1.1.m1.1.15.1.2.2a\" xref=\"p1.1.m1.1.15.1.2.2.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">3<\/mn>\n <\/msup>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.15.1.2.1\" xref=\"p1.1.m1.1.15.1.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.15.1.2.3\" xref=\"p1.1.m1.1.15.1.2.3.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">x<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.15.2\" xref=\"p1.1.m1.1.15.2.cmml\">\n <mn id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">4<\/mn>\n <mo id=\"p1.1.m1.1.15.2.1\" xref=\"p1.1.m1.1.15.2.1.cmml\">\u2062<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.15.2.2\" xref=\"p1.1.m1.1.15.2.2.cmml\">\n <msup id=\"p1.1.m1.1.15.2.2a\" xref=\"p1.1.m1.1.15.2.2.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">y<\/mi>\n <mn id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">2<\/mn>\n <\/msup>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.15.2.1a\" xref=\"p1.1.m1.1.15.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.15.2.1b\" xref=\"p1.1.m1.1.15.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">y<\/mi>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n <plus id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <apply id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\">\n <apply id=\"p1.1.m1.1.15.1.1.cmml\" xref=\"p1.1.m1.1.15.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.1.1.1.cmml\" xref=\"p1.1.m1.1.15.1.1\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">contour-integral<\/csymbol>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <in id=\"p1.1.m1.1.2.1.6.cmml\" xref=\"p1.1.m1.1.2.1.6\"\/>\n <interval closure=\"open\" id=\"p1.1.m1.1.2.1.8.1.cmml\" xref=\"p1.1.m1.1.2.1.8\">\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.2.1.4.cmml\" xref=\"p1.1.m1.1.2.1.4\">\ud835\udc66<\/ci>\n <\/interval>\n <ci id=\"p1.1.m1.1.2.1.7.cmml\" xref=\"p1.1.m1.1.2.1.7\">\ud835\udc36<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.1.2.cmml\" xref=\"p1.1.m1.1.15.1.2\">\n <times id=\"p1.1.m1.1.15.1.2.1.cmml\" xref=\"p1.1.m1.1.15.1.2.1\"\/>\n <apply id=\"p1.1.m1.1.15.1.2.2.cmml\" xref=\"p1.1.m1.1.15.1.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.1.2.2.1.cmml\" xref=\"p1.1.m1.1.15.1.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\">3<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.1.2.3.cmml\" xref=\"p1.1.m1.1.15.1.2.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.2.cmml\" xref=\"p1.1.m1.1.15.2\">\n <times id=\"p1.1.m1.1.15.2.1.cmml\" xref=\"p1.1.m1.1.15.2.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">4<\/cn>\n <apply id=\"p1.1.m1.1.15.2.2.cmml\" xref=\"p1.1.m1.1.15.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.2.2.1.cmml\" xref=\"p1.1.m1.1.15.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc66<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">2<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc66<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\oint_{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\bigcap_{i=_1}^n E_i",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\bigcap _{i=_{1}}^{n}E_{i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>⋂<!-- \u22c2 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <msub>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>E<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\bigcap _{i=_{1}}^{n}E_{i}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\bigcap_{i=_{1}}^{n}E_{i}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\n <munderover id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mo largeop=\"true\" mathsize=\"160%\" movablelimits=\"false\" stretchy=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u22c2<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <msub id=\"p1.1.m1.1.2.1.4\" xref=\"p1.1.m1.1.2.1.4.cmml\">\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3.1\" xref=\"p1.1.m1.1.2.1.3.1.cmml\">1<\/mn>\n <\/msub>\n <mi id=\"p1.1.m1.1.2.1.5\" xref=\"p1.1.m1.1.2.1.5.cmml\"\/>\n <\/mrow>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">n<\/mi>\n <\/munderover>\n <\/mstyle>\n <msub id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">E<\/mi>\n <mi id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">i<\/mi>\n <\/msub>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.1.cmml\" xref=\"p1.1.m1.1.6.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.6.1.2.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.2.1.cmml\" xref=\"p1.1.m1.1.6.1\">subscript<\/csymbol>\n <intersect id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <apply id=\"p1.1.m1.1.2.1.4.cmml\" xref=\"p1.1.m1.1.2.1.4\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.2.1.4.1.cmml\" xref=\"p1.1.m1.1.2.1.4\">subscript<\/csymbol>\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.1.cmml\" xref=\"p1.1.m1.1.2.1.3.1\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.1.5.cmml\" xref=\"p1.1.m1.1.2.1.5\">absent<\/csymbol>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc38<\/ci>\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\ud835\udc56<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\bigcap_{i=_{1}}^{n}E_{i}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\bigcup_{i=_1}^n E_i",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\bigcup _{i=_{1}}^{n}E_{i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>⋃<!-- \u22c3 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <msub>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>E<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\bigcup _{i=_{1}}^{n}E_{i}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\bigcup_{i=_{1}}^{n}E_{i}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\n <munderover id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mo largeop=\"true\" mathsize=\"160%\" movablelimits=\"false\" stretchy=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u22c3<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <msub id=\"p1.1.m1.1.2.1.4\" xref=\"p1.1.m1.1.2.1.4.cmml\">\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3.1\" xref=\"p1.1.m1.1.2.1.3.1.cmml\">1<\/mn>\n <\/msub>\n <mi id=\"p1.1.m1.1.2.1.5\" xref=\"p1.1.m1.1.2.1.5.cmml\"\/>\n <\/mrow>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">n<\/mi>\n <\/munderover>\n <\/mstyle>\n <msub id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">E<\/mi>\n <mi id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">i<\/mi>\n <\/msub>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.1.cmml\" xref=\"p1.1.m1.1.6.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.6.1.2.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.2.1.cmml\" xref=\"p1.1.m1.1.6.1\">subscript<\/csymbol>\n <union id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <apply id=\"p1.1.m1.1.2.1.4.cmml\" xref=\"p1.1.m1.1.2.1.4\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.2.1.4.1.cmml\" xref=\"p1.1.m1.1.2.1.4\">subscript<\/csymbol>\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.1.cmml\" xref=\"p1.1.m1.1.2.1.3.1\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.1.5.cmml\" xref=\"p1.1.m1.1.2.1.5\">absent<\/csymbol>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc38<\/ci>\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\ud835\udc56<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\bigcup_{i=_{1}}^{n}E_{i}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\frac{2}{4}=0.5",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\frac {2}{4}}=0.5}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>2<\/mn>\n <mn>4<\/mn>\n <\/mfrac>\n <\/mrow>\n <mo>=<\/mo>\n <mn>0.5<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\frac {2}{4}}=0.5}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\frac{2}{4}=0.5}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mfrac id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">2<\/mn>\n <mn id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">0.5<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <divide id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">2<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">4<\/cn>\n <\/apply>\n <cn type=\"float\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">0.5<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\frac{2}{4}=0.5}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\tfrac{2}{4} = 0.5",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\tfrac {2}{4}}=0.5}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>2<\/mn>\n <mn>4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo>=<\/mo>\n <mn>0.5<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\tfrac {2}{4}}=0.5}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\tfrac{2}{4}=0.5}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mfrac id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">2<\/mn>\n <mn id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">4<\/mn>\n <\/mfrac>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">0.5<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <divide id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">2<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">4<\/cn>\n <\/apply>\n <cn type=\"float\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">0.5<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\tfrac{2}{4}=0.5}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\dfrac{2}{4} = 0.5 \\qquad \\dfrac{2}{c + \\dfrac{2}{d + \\dfrac{2}{4}}} = a",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\dfrac {2}{4}}=0.5\\qquad {\\dfrac {2}{c+{\\dfrac {2}{d+{\\dfrac {2}{4}}}}}}=a}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mfrac>\n <mn>2<\/mn>\n <mn>4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo>=<\/mo>\n <mn>0.5<\/mn>\n <mspace width=\"2em\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mfrac>\n <mn>2<\/mn>\n <mrow>\n <mi>c<\/mi>\n <mo>+<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mfrac>\n <mn>2<\/mn>\n <mrow>\n <mi>d<\/mi>\n <mo>+<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mfrac>\n <mn>2<\/mn>\n <mn>4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo>=<\/mo>\n <mi>a<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\dfrac {2}{4}}=0.5\\qquad {\\dfrac {2}{c+{\\dfrac {2}{d+{\\dfrac {2}{4}}}}}}=a}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\dfrac{2}{4}=0.5\\qquad\\dfrac{2}{c+\\dfrac{2}{d+% \\dfrac{2}{4}}}=a}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mrow id=\"p1.1.m1.1.11.2\" xref=\"p1.1.m1.1.11.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mfrac id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">2<\/mn>\n <mn id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">0.5<\/mn>\n <\/mrow>\n <mo mathvariant=\"italic\" separator=\"true\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.11.1a.cmml\">\u2003\u2003<\/mo>\n <mrow id=\"p1.1.m1.1.11.3\" xref=\"p1.1.m1.1.11.3.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mfrac id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <mn id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.2.cmml\">2<\/mn>\n <mrow id=\"p1.1.m1.1.7.3\" xref=\"p1.1.m1.1.7.3.cmml\">\n <mi id=\"p1.1.m1.1.7.3.1\" xref=\"p1.1.m1.1.7.3.1.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.7.3.2\" xref=\"p1.1.m1.1.7.3.2.cmml\">+<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7.3.3\" xref=\"p1.1.m1.1.7.3.3.cmml\">\n <mfrac id=\"p1.1.m1.1.7.3.3a\" xref=\"p1.1.m1.1.7.3.3.cmml\">\n <mn id=\"p1.1.m1.1.7.3.3.2\" xref=\"p1.1.m1.1.7.3.3.2.cmml\">2<\/mn>\n <mrow id=\"p1.1.m1.1.7.3.3.3\" xref=\"p1.1.m1.1.7.3.3.3.cmml\">\n <mi id=\"p1.1.m1.1.7.3.3.3.1\" xref=\"p1.1.m1.1.7.3.3.3.1.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.7.3.3.3.2\" xref=\"p1.1.m1.1.7.3.3.3.2.cmml\">+<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7.3.3.3.3\" xref=\"p1.1.m1.1.7.3.3.3.3.cmml\">\n <mfrac id=\"p1.1.m1.1.7.3.3.3.3a\" xref=\"p1.1.m1.1.7.3.3.3.3.cmml\">\n <mn id=\"p1.1.m1.1.7.3.3.3.3.2\" xref=\"p1.1.m1.1.7.3.3.3.3.2.cmml\">2<\/mn>\n <mn id=\"p1.1.m1.1.7.3.3.3.3.3\" xref=\"p1.1.m1.1.7.3.3.3.3.3.cmml\">4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">=<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">a<\/mi>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.11.1a.cmml\" xref=\"p1.1.m1.1.10\">formulae-sequence<\/csymbol>\n <apply id=\"p1.1.m1.1.11.2.cmml\" xref=\"p1.1.m1.1.11.2\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <divide id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">2<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">4<\/cn>\n <\/apply>\n <cn type=\"float\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">0.5<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.11.3.cmml\" xref=\"p1.1.m1.1.11.3\">\n <eq id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <divide id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7.2\">2<\/cn>\n <apply id=\"p1.1.m1.1.7.3.cmml\" xref=\"p1.1.m1.1.7.3\">\n <plus id=\"p1.1.m1.1.7.3.2.cmml\" xref=\"p1.1.m1.1.7.3.2\"\/>\n <ci id=\"p1.1.m1.1.7.3.1.cmml\" xref=\"p1.1.m1.1.7.3.1\">\ud835\udc50<\/ci>\n <apply id=\"p1.1.m1.1.7.3.3.cmml\" xref=\"p1.1.m1.1.7.3.3\">\n <divide id=\"p1.1.m1.1.7.3.3.1.cmml\" xref=\"p1.1.m1.1.7.3.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.3.2.cmml\" xref=\"p1.1.m1.1.7.3.3.2\">2<\/cn>\n <apply id=\"p1.1.m1.1.7.3.3.3.cmml\" xref=\"p1.1.m1.1.7.3.3.3\">\n <plus id=\"p1.1.m1.1.7.3.3.3.2.cmml\" xref=\"p1.1.m1.1.7.3.3.3.2\"\/>\n <ci id=\"p1.1.m1.1.7.3.3.3.1.cmml\" xref=\"p1.1.m1.1.7.3.3.3.1\">\ud835\udc51<\/ci>\n <apply id=\"p1.1.m1.1.7.3.3.3.3.cmml\" xref=\"p1.1.m1.1.7.3.3.3.3\">\n <divide id=\"p1.1.m1.1.7.3.3.3.3.1.cmml\" xref=\"p1.1.m1.1.7.3.3.3.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.3.3.3.2.cmml\" xref=\"p1.1.m1.1.7.3.3.3.3.2\">2<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.3.3.3.3.cmml\" xref=\"p1.1.m1.1.7.3.3.3.3.3\">4<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\dfrac{2}{4}=0.5\\qquad\\dfrac{2}{c+\\dfrac{2}{d+%\n\\dfrac{2}{4}}}=a}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\cfrac{2}{c + \\cfrac{2}{d + \\cfrac{2}{4}}} = a",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\cfrac {2}{c+{\\cfrac {2}{d+{\\cfrac {2}{4}}}}}}=a}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>c<\/mi>\n <mo>+<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>d<\/mi>\n <mo>+<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>4<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mo>=<\/mo>\n <mi>a<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\cfrac {2}{c+{\\cfrac {2}{d+{\\cfrac {2}{4}}}}}}=a}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\cfrac{2}{c+\\cfrac{2}{d+\\cfrac{2}{4}}}=a}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mfrac id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">2<\/mn>\n <mrow id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1\" xref=\"p1.1.m1.1.1.3.1.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.1.3.2\" xref=\"p1.1.m1.1.1.3.2.cmml\">+<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1.3.3\" xref=\"p1.1.m1.1.1.3.3.cmml\">\n <mfrac id=\"p1.1.m1.1.1.3.3a\" xref=\"p1.1.m1.1.1.3.3.cmml\">\n <mn id=\"p1.1.m1.1.1.3.3.2\" xref=\"p1.1.m1.1.1.3.3.2.cmml\">2<\/mn>\n <mrow id=\"p1.1.m1.1.1.3.3.3\" xref=\"p1.1.m1.1.1.3.3.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.3.3.1\" xref=\"p1.1.m1.1.1.3.3.3.1.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.1.3.3.3.2\" xref=\"p1.1.m1.1.1.3.3.3.2.cmml\">+<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1.3.3.3.3\" xref=\"p1.1.m1.1.1.3.3.3.3.cmml\">\n <mfrac id=\"p1.1.m1.1.1.3.3.3.3a\" xref=\"p1.1.m1.1.1.3.3.3.3.cmml\">\n <mn id=\"p1.1.m1.1.1.3.3.3.3.2\" xref=\"p1.1.m1.1.1.3.3.3.3.2.cmml\">2<\/mn>\n <mn id=\"p1.1.m1.1.1.3.3.3.3.3\" xref=\"p1.1.m1.1.1.3.3.3.3.3.cmml\">4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\">continued-fraction<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">2<\/cn>\n <apply id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\n <plus id=\"p1.1.m1.1.1.3.2.cmml\" xref=\"p1.1.m1.1.1.3.2\"\/>\n <ci id=\"p1.1.m1.1.1.3.1.cmml\" xref=\"p1.1.m1.1.1.3.1\">\ud835\udc50<\/ci>\n <apply id=\"p1.1.m1.1.1.3.3.cmml\" xref=\"p1.1.m1.1.1.3.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.3.3.1.cmml\" xref=\"p1.1.m1.1.1.3.3\">continued-fraction<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.3.2.cmml\" xref=\"p1.1.m1.1.1.3.3.2\">2<\/cn>\n <apply id=\"p1.1.m1.1.1.3.3.3.cmml\" xref=\"p1.1.m1.1.1.3.3.3\">\n <plus id=\"p1.1.m1.1.1.3.3.3.2.cmml\" xref=\"p1.1.m1.1.1.3.3.3.2\"\/>\n <ci id=\"p1.1.m1.1.1.3.3.3.1.cmml\" xref=\"p1.1.m1.1.1.3.3.3.1\">\ud835\udc51<\/ci>\n <apply id=\"p1.1.m1.1.1.3.3.3.3.cmml\" xref=\"p1.1.m1.1.1.3.3.3.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.3.3.3.3.1.cmml\" xref=\"p1.1.m1.1.1.3.3.3.3\">continued-fraction<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.3.3.3.2.cmml\" xref=\"p1.1.m1.1.1.3.3.3.3.2\">2<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.3.3.3.3.cmml\" xref=\"p1.1.m1.1.1.3.3.3.3.3\">4<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\cfrac{2}{c+\\cfrac{2}{d+\\cfrac{2}{4}}}=a}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\cfrac{x}{1 + \\cfrac{\\cancel{y}}{\\cancel{y}}} = \\cfrac{x}{2}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\cfrac {x}{1+{\\cfrac {\\cancel {y}}{\\cancel {y}}}}}={\\cfrac {x}{2}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <mo>+<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <menclose notation=\"updiagonalstrike\">\n <mi>y<\/mi>\n <\/menclose>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <menclose notation=\"updiagonalstrike\">\n <mi>y<\/mi>\n <\/menclose>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\cfrac {x}{1+{\\cfrac {\\cancel {y}}{\\cancel {y}}}}}={\\cfrac {x}{2}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\cfrac{x}{1+\\cfrac{\\cancel{y}}{\\cancel{y}}}=\\cfrac% {x}{2}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mfrac id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">x<\/mi>\n <mrow id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mn id=\"p1.1.m1.1.1.3.1\" xref=\"p1.1.m1.1.1.3.1.cmml\">1<\/mn>\n <mo id=\"p1.1.m1.1.1.3.2\" xref=\"p1.1.m1.1.1.3.2.cmml\">+<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1.3.3\" xref=\"p1.1.m1.1.1.3.3.cmml\">\n <mfrac id=\"p1.1.m1.1.1.3.3a\" xref=\"p1.1.m1.1.1.3.3.cmml\">\n <mrow id=\"p1.1.m1.1.1.3.3.2\" xref=\"p1.1.m1.1.1.3.3.2.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.3.3.2.1\" xref=\"p1.1.m1.1.1.3.3.2.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1.3.3.2.1a\" xref=\"p1.1.m1.1.1.3.3.2.1b.cmml\">\\cancel<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.1.3.3.2.3\" xref=\"p1.1.m1.1.1.3.3.2.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.1.3.3.2.2\" xref=\"p1.1.m1.1.1.3.3.2.2.cmml\">y<\/mi>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.1.3.3.3\" xref=\"p1.1.m1.1.1.3.3.3.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.3.3.3.1\" xref=\"p1.1.m1.1.1.3.3.3.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1.3.3.3.1a\" xref=\"p1.1.m1.1.1.3.3.3.1b.cmml\">\\cancel<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.1.3.3.3.3\" xref=\"p1.1.m1.1.1.3.3.3.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.1.3.3.3.2\" xref=\"p1.1.m1.1.1.3.3.3.2.cmml\">y<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mfrac id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.3.3\" xref=\"p1.1.m1.1.3.3.cmml\">2<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\">continued-fraction<\/csymbol>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udc65<\/ci>\n <apply id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\n <plus id=\"p1.1.m1.1.1.3.2.cmml\" xref=\"p1.1.m1.1.1.3.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.1.cmml\" xref=\"p1.1.m1.1.1.3.1\">1<\/cn>\n <apply id=\"p1.1.m1.1.1.3.3.cmml\" xref=\"p1.1.m1.1.1.3.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.3.3.1.cmml\" xref=\"p1.1.m1.1.1.3.3\">continued-fraction<\/csymbol>\n <apply id=\"p1.1.m1.1.1.3.3.2.cmml\" xref=\"p1.1.m1.1.1.3.3.2\">\n <times id=\"p1.1.m1.1.1.3.3.2.3.cmml\" xref=\"p1.1.m1.1.1.3.3.2.3\"\/>\n <ci id=\"p1.1.m1.1.1.3.3.2.1b.cmml\" xref=\"p1.1.m1.1.1.3.3.2.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.3.3.2.1.cmml\" xref=\"p1.1.m1.1.1.3.3.2.1\">\n <mtext id=\"p1.1.m1.1.1.3.3.2.1a.cmml\" xref=\"p1.1.m1.1.1.3.3.2.1\">\\cancel<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.1.3.3.2.2.cmml\" xref=\"p1.1.m1.1.1.3.3.2.2\">\ud835\udc66<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.3.3.3.cmml\" xref=\"p1.1.m1.1.1.3.3.3\">\n <times id=\"p1.1.m1.1.1.3.3.3.3.cmml\" xref=\"p1.1.m1.1.1.3.3.3.3\"\/>\n <ci id=\"p1.1.m1.1.1.3.3.3.1b.cmml\" xref=\"p1.1.m1.1.1.3.3.3.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.3.3.3.1.cmml\" xref=\"p1.1.m1.1.1.3.3.3.1\">\n <mtext id=\"p1.1.m1.1.1.3.3.3.1a.cmml\" xref=\"p1.1.m1.1.1.3.3.3.1\">\\cancel<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.1.3.3.3.2.cmml\" xref=\"p1.1.m1.1.1.3.3.3.2\">\ud835\udc66<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\">continued-fraction<\/csymbol>\n <ci id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.3.cmml\" xref=\"p1.1.m1.1.3.3\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\cfrac{x}{1+\\cfrac{\\cancel{y}}{\\cancel{y}}}=\\cfrac%\n{x}{2}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\binom{n}{k}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\binom {n}{k}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mrow class=\"MJX-TeXAtom-OPEN\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">(<\/mo>\n <\/mrow>\n <mfrac linethickness=\"0\">\n <mi>n<\/mi>\n <mi>k<\/mi>\n <\/mfrac>\n <mrow class=\"MJX-TeXAtom-CLOSE\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\binom {n}{k}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\binom{n}{k}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.1.5\" xref=\"p1.1.m1.1.1.1.cmml\">\n <mo id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.1.1.cmml\">(<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.1.cmml\">\n <mfrac linethickness=\"0pt\" id=\"p1.1.m1.1.1.3a\" xref=\"p1.1.m1.1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.3.2\" xref=\"p1.1.m1.1.1.3.2.cmml\">n<\/mi>\n <mi id=\"p1.1.m1.1.1.3.3\" xref=\"p1.1.m1.1.1.3.3.cmml\">k<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.1.4\" xref=\"p1.1.m1.1.1.1.1.cmml\">)<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.5\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.2\">binomial<\/csymbol>\n <ci id=\"p1.1.m1.1.1.3.2.cmml\" xref=\"p1.1.m1.1.1.3.2\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.1.3.3.cmml\" xref=\"p1.1.m1.1.1.3.3\">\ud835\udc58<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\binom{n}{k}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\tbinom{n}{k}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\tbinom {n}{k}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow>\n <mrow class=\"MJX-TeXAtom-OPEN\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">(<\/mo>\n <\/mrow>\n <mfrac linethickness=\"0\">\n <mi>n<\/mi>\n <mi>k<\/mi>\n <\/mfrac>\n <mrow class=\"MJX-TeXAtom-CLOSE\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\tbinom {n}{k}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\tbinom{n}{k}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.1.5\" xref=\"p1.1.m1.1.1.1.cmml\">\n <mo id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.1.1.cmml\">(<\/mo>\n <mfrac linethickness=\"0pt\" id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.3.2\" xref=\"p1.1.m1.1.1.3.2.cmml\">n<\/mi>\n <mi id=\"p1.1.m1.1.1.3.3\" xref=\"p1.1.m1.1.1.3.3.cmml\">k<\/mi>\n <\/mfrac>\n <mo id=\"p1.1.m1.1.1.4\" xref=\"p1.1.m1.1.1.1.1.cmml\">)<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.5\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.2\">binomial<\/csymbol>\n <ci id=\"p1.1.m1.1.1.3.2.cmml\" xref=\"p1.1.m1.1.1.3.2\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.1.3.3.cmml\" xref=\"p1.1.m1.1.1.3.3\">\ud835\udc58<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\tbinom{n}{k}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\dbinom{n}{k}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\dbinom {n}{k}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mrow class=\"MJX-TeXAtom-OPEN\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">(<\/mo>\n <\/mrow>\n <mfrac linethickness=\"0\">\n <mi>n<\/mi>\n <mi>k<\/mi>\n <\/mfrac>\n <mrow class=\"MJX-TeXAtom-CLOSE\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\dbinom {n}{k}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\dbinom{n}{k}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.1.5\" xref=\"p1.1.m1.1.1.1.cmml\">\n <mo id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.1.1.cmml\">(<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.1.cmml\">\n <mfrac linethickness=\"0pt\" id=\"p1.1.m1.1.1.3a\" xref=\"p1.1.m1.1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.3.2\" xref=\"p1.1.m1.1.1.3.2.cmml\">n<\/mi>\n <mi id=\"p1.1.m1.1.1.3.3\" xref=\"p1.1.m1.1.1.3.3.cmml\">k<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.1.4\" xref=\"p1.1.m1.1.1.1.1.cmml\">)<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.5\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.2\">binomial<\/csymbol>\n <ci id=\"p1.1.m1.1.1.3.2.cmml\" xref=\"p1.1.m1.1.1.3.2\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.1.3.3.cmml\" xref=\"p1.1.m1.1.1.3.3\">\ud835\udc58<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\dbinom{n}{k}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\begin{matrix} x & y \\\\ z & v\n\\end{matrix}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{matrix}x&y\\\\z&v\\end{matrix}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{matrix}x&y\\\\z&v\\end{matrix}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{matrix}x&y\\\\ z&v\\end{matrix}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mtr id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1b\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.1.1\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">x<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1c\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.2.1\" xref=\"p1.1.m1.1.1.1.2.1.cmml\">y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1d\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1e\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1.1\" xref=\"p1.1.m1.1.1.2.1.1.cmml\">z<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1f\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1\" xref=\"p1.1.m1.1.1.2.2.1.cmml\">v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <matrixrow id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1.1.1\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1\">\ud835\udc66<\/ci>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.1.1\">\ud835\udc67<\/ci>\n <ci id=\"p1.1.m1.1.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1\">\ud835\udc63<\/ci>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{matrix}x&y\\\\\nz&v\\end{matrix}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\begin{vmatrix} x & y \\\\ z & v\n\\end{vmatrix}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{vmatrix}x&y\\\\z&v\\end{vmatrix}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>|<\/mo>\n <mtable rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo>|<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{vmatrix}x&y\\\\z&v\\end{vmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{vmatrix}x&y\\\\ z&v\\end{vmatrix}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.1.5\" xref=\"p1.1.m1.1.1.1.cmml\">\n <mo id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.1.1.cmml\">|<\/mo>\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtr id=\"p1.1.m1.1.1.3a\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3b\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.1.1.1\" xref=\"p1.1.m1.1.1.3.1.1.1.1.cmml\">x<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3c\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.1.2.1\" xref=\"p1.1.m1.1.1.3.1.1.2.1.cmml\">y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1.3d\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3e\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.2.1.1\" xref=\"p1.1.m1.1.1.3.1.2.1.1.cmml\">z<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3f\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.2.2.1\" xref=\"p1.1.m1.1.1.3.1.2.2.1.cmml\">v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo id=\"p1.1.m1.1.1.4\" xref=\"p1.1.m1.1.1.1.1.cmml\">|<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.5\">\n <determinant id=\"p1.1.m1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.2\"\/>\n <matrix id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\n <matrixrow id=\"p1.1.m1.1.1.3a.cmml\" xref=\"p1.1.m1.1.1.3\">\n <ci id=\"p1.1.m1.1.1.3.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1.1.1.1\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.3.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.1.2.1\">\ud835\udc66<\/ci>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1.3b.cmml\" xref=\"p1.1.m1.1.1.3\">\n <ci id=\"p1.1.m1.1.1.3.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.1.1\">\ud835\udc67<\/ci>\n <ci id=\"p1.1.m1.1.1.3.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.2.1\">\ud835\udc63<\/ci>\n <\/matrixrow>\n <\/matrix>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{vmatrix}x&y\\\\\nz&v\\end{vmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\begin{Vmatrix} x & y \\\\ z & v\n\\end{Vmatrix}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{Vmatrix}x&y\\\\z&v\\end{Vmatrix}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo symmetric=\"true\">‖<\/mo>\n <mtable rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo symmetric=\"true\">‖<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{Vmatrix}x&y\\\\z&v\\end{Vmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{Vmatrix}x&y\\\\ z&v\\end{Vmatrix}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.1.5\" xref=\"p1.1.m1.1.1.1.cmml\">\n <mo id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.1.1.cmml\">\u2225<\/mo>\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtr id=\"p1.1.m1.1.1.3a\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3b\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.1.1.1\" xref=\"p1.1.m1.1.1.3.1.1.1.1.cmml\">x<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3c\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.1.2.1\" xref=\"p1.1.m1.1.1.3.1.1.2.1.cmml\">y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1.3d\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3e\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.2.1.1\" xref=\"p1.1.m1.1.1.3.1.2.1.1.cmml\">z<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3f\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.2.2.1\" xref=\"p1.1.m1.1.1.3.1.2.2.1.cmml\">v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo id=\"p1.1.m1.1.1.4\" xref=\"p1.1.m1.1.1.1.1.cmml\">\u2225<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.5\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.2\">norm<\/csymbol>\n <matrix id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\n <matrixrow id=\"p1.1.m1.1.1.3a.cmml\" xref=\"p1.1.m1.1.1.3\">\n <ci id=\"p1.1.m1.1.1.3.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1.1.1.1\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.3.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.1.2.1\">\ud835\udc66<\/ci>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1.3b.cmml\" xref=\"p1.1.m1.1.1.3\">\n <ci id=\"p1.1.m1.1.1.3.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.1.1\">\ud835\udc67<\/ci>\n <ci id=\"p1.1.m1.1.1.3.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.2.1\">\ud835\udc63<\/ci>\n <\/matrixrow>\n <\/matrix>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{Vmatrix}x&y\\\\\nz&v\\end{Vmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\begin{bmatrix} 0 & \\cdots & 0 \\\\ \\vdots\n& \\ddots & \\vdots \\\\ 0 & \\cdots &\n0\\end{bmatrix} ",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{bmatrix}0&\\cdots &0\\\\\\vdots &\\ddots &\\vdots \\\\0&\\cdots &0\\end{bmatrix}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>[<\/mo>\n <mtable rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <mtd>\n <mo>⋯<!-- \u22ef --><\/mo>\n <\/mtd>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mo>⋮<!-- \u22ee --><\/mo>\n <\/mtd>\n <mtd>\n <mo>⋱<!-- \u22f1 --><\/mo>\n <\/mtd>\n <mtd>\n <mo>⋮<!-- \u22ee --><\/mo>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <mtd>\n <mo>⋯<!-- \u22ef --><\/mo>\n <\/mtd>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo>]<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{bmatrix}0&\\cdots &0\\\\\\vdots &\\ddots &\\vdots \\\\0&\\cdots &0\\end{bmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{bmatrix}0&\\cdots&0\\\\ \\vdots&\\ddots&\\vdots\\\\ 0&\\cdots&0\\end{bmatrix}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.1.5\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mo id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.3.cmml\">[<\/mo>\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtr id=\"p1.1.m1.1.1.3a\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3b\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mn id=\"p1.1.m1.1.1.3.1.1.1.1\" xref=\"p1.1.m1.1.1.3.1.1.1.1.cmml\">0<\/mn>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3c\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1.3.1.1.2.1\" xref=\"p1.1.m1.1.1.3.1.1.2.1.cmml\">\u22ef<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3d\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mn id=\"p1.1.m1.1.1.3.1.1.3.1\" xref=\"p1.1.m1.1.1.3.1.1.3.1.cmml\">0<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1.3e\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3f\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1.3.1.2.1.1\" xref=\"p1.1.m1.1.1.3.1.2.1.1.cmml\">\u22ee<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3g\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1.3.1.2.2.1\" xref=\"p1.1.m1.1.1.3.1.2.2.1.cmml\">\u22f1<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3h\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1.3.1.2.3.1\" xref=\"p1.1.m1.1.1.3.1.2.3.1.cmml\">\u22ee<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1.3i\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3j\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mn id=\"p1.1.m1.1.1.3.1.3.1.1\" xref=\"p1.1.m1.1.1.3.1.3.1.1.cmml\">0<\/mn>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3k\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1.3.1.3.2.1\" xref=\"p1.1.m1.1.1.3.1.3.2.1.cmml\">\u22ef<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3l\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mn id=\"p1.1.m1.1.1.3.1.3.3.1\" xref=\"p1.1.m1.1.1.3.1.3.3.1.cmml\">0<\/mn>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo id=\"p1.1.m1.1.1.4\" xref=\"p1.1.m1.1.1.3.cmml\">]<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.5\">\n <matrixrow id=\"p1.1.m1.1.1.3a.cmml\" xref=\"p1.1.m1.1.1.5\">\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1.1.1.1\">0<\/cn>\n <ci id=\"p1.1.m1.1.1.3.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.1.2.1\">\u22ef<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.1.1.3.1.cmml\" xref=\"p1.1.m1.1.1.3.1.1.3.1\">0<\/cn>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1.3b.cmml\" xref=\"p1.1.m1.1.1.5\">\n <ci id=\"p1.1.m1.1.1.3.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.1.1\">\u22ee<\/ci>\n <ci id=\"p1.1.m1.1.1.3.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.2.1\">\u22f1<\/ci>\n <ci id=\"p1.1.m1.1.1.3.1.2.3.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.3.1\">\u22ee<\/ci>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1.3c.cmml\" xref=\"p1.1.m1.1.1.5\">\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.1.3.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1.3.1.1\">0<\/cn>\n <ci id=\"p1.1.m1.1.1.3.1.3.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.3.2.1\">\u22ef<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.1.3.3.1.cmml\" xref=\"p1.1.m1.1.1.3.1.3.3.1\">0<\/cn>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{bmatrix}0&\\cdots&0\\\\\n\\vdots&\\ddots&\\vdots\\\\\n0&\\cdots&0\\end{bmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\begin{Bmatrix} x & y \\\\ z & v\n\\end{Bmatrix}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{Bmatrix}x&y\\\\z&v\\end{Bmatrix}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>{<\/mo>\n <mtable rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo>}<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{Bmatrix}x&y\\\\z&v\\end{Bmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{Bmatrix}x&y\\\\ z&v\\end{Bmatrix}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.1.5\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mo id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.3.cmml\">{<\/mo>\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtr id=\"p1.1.m1.1.1.3a\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3b\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.1.1.1\" xref=\"p1.1.m1.1.1.3.1.1.1.1.cmml\">x<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3c\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.1.2.1\" xref=\"p1.1.m1.1.1.3.1.1.2.1.cmml\">y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1.3d\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3e\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.2.1.1\" xref=\"p1.1.m1.1.1.3.1.2.1.1.cmml\">z<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3f\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.2.2.1\" xref=\"p1.1.m1.1.1.3.1.2.2.1.cmml\">v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo id=\"p1.1.m1.1.1.4\" xref=\"p1.1.m1.1.1.3.cmml\">}<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.5\">\n <matrixrow id=\"p1.1.m1.1.1.3a.cmml\" xref=\"p1.1.m1.1.1.5\">\n <ci id=\"p1.1.m1.1.1.3.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1.1.1.1\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.3.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.1.2.1\">\ud835\udc66<\/ci>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1.3b.cmml\" xref=\"p1.1.m1.1.1.5\">\n <ci id=\"p1.1.m1.1.1.3.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.1.1\">\ud835\udc67<\/ci>\n <ci id=\"p1.1.m1.1.1.3.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.2.1\">\ud835\udc63<\/ci>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{Bmatrix}x&y\\\\\nz&v\\end{Bmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\begin{pmatrix} x & y \\\\ z & v\n\\end{pmatrix}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{pmatrix}x&y\\\\z&v\\end{pmatrix}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>(<\/mo>\n <mtable rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo>)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{pmatrix}x&y\\\\z&v\\end{pmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{pmatrix}x&y\\\\ z&v\\end{pmatrix}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.1.5\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mo id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.3.cmml\">(<\/mo>\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtr id=\"p1.1.m1.1.1.3a\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3b\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.1.1.1\" xref=\"p1.1.m1.1.1.3.1.1.1.1.cmml\">x<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3c\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.1.2.1\" xref=\"p1.1.m1.1.1.3.1.1.2.1.cmml\">y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1.3d\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3e\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.2.1.1\" xref=\"p1.1.m1.1.1.3.1.2.1.1.cmml\">z<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1.3f\" xref=\"p1.1.m1.1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1.3.1.2.2.1\" xref=\"p1.1.m1.1.1.3.1.2.2.1.cmml\">v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo id=\"p1.1.m1.1.1.4\" xref=\"p1.1.m1.1.1.3.cmml\">)<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.5\">\n <matrixrow id=\"p1.1.m1.1.1.3a.cmml\" xref=\"p1.1.m1.1.1.5\">\n <ci id=\"p1.1.m1.1.1.3.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1.1.1.1\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.3.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.1.2.1\">\ud835\udc66<\/ci>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1.3b.cmml\" xref=\"p1.1.m1.1.1.5\">\n <ci id=\"p1.1.m1.1.1.3.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.1.1\">\ud835\udc67<\/ci>\n <ci id=\"p1.1.m1.1.1.3.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.3.1.2.2.1\">\ud835\udc63<\/ci>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{pmatrix}x&y\\\\\nz&v\\end{pmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\n\\bigl( \\begin{smallmatrix}\na&b\\\\ c&d\n\\end{smallmatrix} \\bigr)\n",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\bigl (}{\\begin{smallmatrix}a&b\\\\c&d\\end{smallmatrix}}{\\bigr )}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-OPEN\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">(<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle scriptlevel=\"1\">\n <mtable rowspacing=\".2em\" columnspacing=\"0.333em\" displaystyle=\"false\">\n <mtr>\n <mtd>\n <mi>a<\/mi>\n <\/mtd>\n <mtd>\n <mi>b<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>c<\/mi>\n <\/mtd>\n <mtd>\n <mi>d<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mstyle>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-CLOSE\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\bigl (}{\\begin{smallmatrix}a&b\\\\c&d\\end{smallmatrix}}{\\bigr )}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\bigl{(}\\begin{smallmatrix}a&b\\\\ c&d\\end{smallmatrix}\\bigr{)}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.2.cmml\">\n <mo maxsize=\"120%\" minsize=\"120%\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.2.cmml\">(<\/mo>\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mtr id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.2b\" xref=\"p1.1.m1.1.2.cmml\">\n <mi mathsize=\"70%\" id=\"p1.1.m1.1.2.1.1.1\" xref=\"p1.1.m1.1.2.1.1.1.cmml\">a<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.2c\" xref=\"p1.1.m1.1.2.cmml\">\n <mi mathsize=\"70%\" id=\"p1.1.m1.1.2.1.2.1\" xref=\"p1.1.m1.1.2.1.2.1.cmml\">b<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.2d\" xref=\"p1.1.m1.1.2.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.2e\" xref=\"p1.1.m1.1.2.cmml\">\n <mi mathsize=\"70%\" id=\"p1.1.m1.1.2.2.1.1\" xref=\"p1.1.m1.1.2.2.1.1.cmml\">c<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.2f\" xref=\"p1.1.m1.1.2.cmml\">\n <mi mathsize=\"70%\" id=\"p1.1.m1.1.2.2.2.1\" xref=\"p1.1.m1.1.2.2.2.1.cmml\">d<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo maxsize=\"120%\" minsize=\"120%\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.2.cmml\">)<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.4\">\n <matrixrow id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.4\">\n <ci id=\"p1.1.m1.1.2.1.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.2.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1.2.1\">\ud835\udc4f<\/ci>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.4\">\n <ci id=\"p1.1.m1.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.2.2.1.1\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.2.2.2.1.cmml\" xref=\"p1.1.m1.1.2.2.2.1\">\ud835\udc51<\/ci>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\bigl{(}\\begin{smallmatrix}a&b\\\\\nc&d\\end{smallmatrix}\\bigr{)}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "f(n) =\n\\begin{cases}\nn\/2, & \\text{if }n\\text{ is even} \\\\\n3n+1, & \\text{if }n\\text{ is odd}\n\\end{cases} ",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle f(n)={\\begin{cases}n\/2,&{\\text{if }}n{\\text{ is even}}\\\\3n+1,&{\\text{if }}n{\\text{ is odd}}\\end{cases}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>n<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>{<\/mo>\n <mtable columnalign=\"left left\" rowspacing=\".2em\" columnspacing=\"1em\" displaystyle=\"false\">\n <mtr>\n <mtd>\n <mi>n<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mn>2<\/mn>\n <mo>,<\/mo>\n <\/mtd>\n <mtd>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>if <\/mtext>\n <\/mrow>\n <mi>n<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext> is even<\/mtext>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>3<\/mn>\n <mi>n<\/mi>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>,<\/mo>\n <\/mtd>\n <mtd>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>if <\/mtext>\n <\/mrow>\n <mi>n<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext> is odd<\/mtext>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\"><\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle f(n)={\\begin{cases}n\/2,&{\\text{if }}n{\\text{ is even}}\\\\3n+1,&{\\text{if }}n{\\text{ is odd}}\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle f(n)=\\begin{cases}n\/2,&\\text{if }n\\text{ is even}% \\\\ 3n+1,&\\text{if }n\\text{ is odd}\\end{cases}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mrow id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.9.1.1\" xref=\"p1.1.m1.1.9.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.9.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">n<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.8.1.1.cmml\">{<\/mo>\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtr id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7b\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.7.1.1.1\" xref=\"p1.1.m1.1.7.1.1.1.6.cmml\">\n <mrow id=\"p1.1.m1.1.7.1.1.1.6\" xref=\"p1.1.m1.1.7.1.1.1.6.cmml\">\n <mi id=\"p1.1.m1.1.7.1.1.1.1\" xref=\"p1.1.m1.1.7.1.1.1.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.7.1.1.1.2\" xref=\"p1.1.m1.1.7.1.1.1.2.cmml\">\/<\/mo>\n <mn id=\"p1.1.m1.1.7.1.1.1.3\" xref=\"p1.1.m1.1.7.1.1.1.3.cmml\">2<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7.1.1.1.4\" xref=\"p1.1.m1.1.7.1.1.1.6.cmml\">,<\/mo>\n <\/mrow>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7c\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.7.1.2.1\" xref=\"p1.1.m1.1.7.1.2.1.cmml\">\n <mtext id=\"p1.1.m1.1.7.1.2.1.1\" xref=\"p1.1.m1.1.7.1.2.1.1a.cmml\">if\u00a0<\/mtext>\n <mo id=\"p1.1.m1.1.7.1.2.1.4\" xref=\"p1.1.m1.1.7.1.2.1.4.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7.1.2.1.2\" xref=\"p1.1.m1.1.7.1.2.1.2.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.7.1.2.1.4a\" xref=\"p1.1.m1.1.7.1.2.1.4.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.7.1.2.1.3\" xref=\"p1.1.m1.1.7.1.2.1.3a.cmml\">\u00a0is even<\/mtext>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.7d\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7e\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.7.2.1.1\" xref=\"p1.1.m1.1.7.2.1.1.7.cmml\">\n <mrow id=\"p1.1.m1.1.7.2.1.1.7\" xref=\"p1.1.m1.1.7.2.1.1.7.cmml\">\n <mrow id=\"p1.1.m1.1.7.2.1.1.7.1\" xref=\"p1.1.m1.1.7.2.1.1.7.1.cmml\">\n <mn id=\"p1.1.m1.1.7.2.1.1.1\" xref=\"p1.1.m1.1.7.2.1.1.1.cmml\">3<\/mn>\n <mo id=\"p1.1.m1.1.7.2.1.1.7.1.1\" xref=\"p1.1.m1.1.7.2.1.1.7.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7.2.1.1.2\" xref=\"p1.1.m1.1.7.2.1.1.2.cmml\">n<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7.2.1.1.3\" xref=\"p1.1.m1.1.7.2.1.1.3.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.7.2.1.1.4\" xref=\"p1.1.m1.1.7.2.1.1.4.cmml\">1<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7.2.1.1.5\" xref=\"p1.1.m1.1.7.2.1.1.7.cmml\">,<\/mo>\n <\/mrow>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7f\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.7.2.2.1\" xref=\"p1.1.m1.1.7.2.2.1.cmml\">\n <mtext id=\"p1.1.m1.1.7.2.2.1.1\" xref=\"p1.1.m1.1.7.2.2.1.1a.cmml\">if\u00a0<\/mtext>\n <mo id=\"p1.1.m1.1.7.2.2.1.4\" xref=\"p1.1.m1.1.7.2.2.1.4.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7.2.2.1.2\" xref=\"p1.1.m1.1.7.2.2.1.2.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.7.2.2.1.4a\" xref=\"p1.1.m1.1.7.2.2.1.4.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.7.2.2.1.3\" xref=\"p1.1.m1.1.7.2.2.1.3a.cmml\">\u00a0is odd<\/mtext>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <eq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n <times id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5b<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.6\">cases<\/csymbol>\n <apply id=\"p1.1.m1.1.7.1.1.1.6.cmml\" xref=\"p1.1.m1.1.7.1.1.1\">\n <divide id=\"p1.1.m1.1.7.1.1.1.2.cmml\" xref=\"p1.1.m1.1.7.1.1.1.2\"\/>\n <ci id=\"p1.1.m1.1.7.1.1.1.1.cmml\" xref=\"p1.1.m1.1.7.1.1.1.1\">\ud835\udc5b<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.1.1.1.3.cmml\" xref=\"p1.1.m1.1.7.1.1.1.3\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.1.2.1.cmml\" xref=\"p1.1.m1.1.7.1.2.1\">\n <times id=\"p1.1.m1.1.7.1.2.1.4.cmml\" xref=\"p1.1.m1.1.7.1.2.1.4\"\/>\n <ci id=\"p1.1.m1.1.7.1.2.1.1a.cmml\" xref=\"p1.1.m1.1.7.1.2.1.1\">\n <mtext id=\"p1.1.m1.1.7.1.2.1.1.cmml\" xref=\"p1.1.m1.1.7.1.2.1.1\">if\u00a0<\/mtext>\n <\/ci>\n <ci id=\"p1.1.m1.1.7.1.2.1.2.cmml\" xref=\"p1.1.m1.1.7.1.2.1.2\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.7.1.2.1.3a.cmml\" xref=\"p1.1.m1.1.7.1.2.1.3\">\n <mtext id=\"p1.1.m1.1.7.1.2.1.3.cmml\" xref=\"p1.1.m1.1.7.1.2.1.3\">\u00a0is even<\/mtext>\n <\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.2.1.1.7.cmml\" xref=\"p1.1.m1.1.7.2.1.1\">\n <plus id=\"p1.1.m1.1.7.2.1.1.3.cmml\" xref=\"p1.1.m1.1.7.2.1.1.3\"\/>\n <apply id=\"p1.1.m1.1.7.2.1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.2.1.1.7.1\">\n <times id=\"p1.1.m1.1.7.2.1.1.7.1.1.cmml\" xref=\"p1.1.m1.1.7.2.1.1.7.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.1.1.1.cmml\" xref=\"p1.1.m1.1.7.2.1.1.1\">3<\/cn>\n <ci id=\"p1.1.m1.1.7.2.1.1.2.cmml\" xref=\"p1.1.m1.1.7.2.1.1.2\">\ud835\udc5b<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.1.1.4.cmml\" xref=\"p1.1.m1.1.7.2.1.1.4\">1<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.2.2.1.cmml\" xref=\"p1.1.m1.1.7.2.2.1\">\n <times id=\"p1.1.m1.1.7.2.2.1.4.cmml\" xref=\"p1.1.m1.1.7.2.2.1.4\"\/>\n <ci id=\"p1.1.m1.1.7.2.2.1.1a.cmml\" xref=\"p1.1.m1.1.7.2.2.1.1\">\n <mtext id=\"p1.1.m1.1.7.2.2.1.1.cmml\" xref=\"p1.1.m1.1.7.2.2.1.1\">if\u00a0<\/mtext>\n <\/ci>\n <ci id=\"p1.1.m1.1.7.2.2.1.2.cmml\" xref=\"p1.1.m1.1.7.2.2.1.2\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.7.2.2.1.3a.cmml\" xref=\"p1.1.m1.1.7.2.2.1.3\">\n <mtext id=\"p1.1.m1.1.7.2.2.1.3.cmml\" xref=\"p1.1.m1.1.7.2.2.1.3\">\u00a0is odd<\/mtext>\n <\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle f(n)=\\begin{cases}n\/2,&\\text{if }n\\text{ is even}%\n\\\\\n3n+1,&\\text{if }n\\text{ is odd}\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\n\\begin{align}\nf(x) & = (a+b)^2 \\\\\n& = a^2+2ab+b^2 \\\\\n\\end{align}\n",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{aligned}f(x)&=(a+b)^{2}\\\\&=a^{2}+2ab+b^{2}\\\\\\end{aligned}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"right left right left right left right left right left right left\" rowspacing=\"3pt\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\" displaystyle=\"true\">\n <mtr>\n <mtd>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>a<\/mi>\n <mo>+<\/mo>\n <mi>b<\/mi>\n <msup>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd \/>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <msup>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <mo>+<\/mo>\n <msup>\n <mi>b<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{aligned}f(x)&=(a+b)^{2}\\\\&=a^{2}+2ab+b^{2}\\\\\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{aligned} \\displaystyle f(x)&\\displaystyle=(% a+b)^{2}\\\\ &\\displaystyle=a^{2}+2ab+b^{2}\\\\ \\end{aligned}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mtable columnspacing=\"0pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mtr id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.1b\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.1.1.1\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.1.1.1\" xref=\"p1.1.m1.1.1.1.1.1.1.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.1.1.1.1.5\" xref=\"p1.1.m1.1.1.1.1.1.5.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.1.1.6\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.1.1.2\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.1.1.1.1.3\" xref=\"p1.1.m1.1.1.1.1.1.3.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.1.1.4\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1c\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.1.2.1\" xref=\"p1.1.m1.1.1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.2.1.8\" xref=\"p1.1.m1.1.1.1.2.1.8.cmml\"\/>\n <mo id=\"p1.1.m1.1.1.1.2.1.1\" xref=\"p1.1.m1.1.1.1.2.1.1.cmml\">=<\/mo>\n <msup id=\"p1.1.m1.1.1.1.2.1.9\" xref=\"p1.1.m1.1.1.1.2.1.9.cmml\">\n <mrow id=\"p1.1.m1.1.1.1.2.1.9.2\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.2.1.2\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.2.1.9.2.2\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.1.1.2.1.3\" xref=\"p1.1.m1.1.1.1.2.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.1.1.2.1.4\" xref=\"p1.1.m1.1.1.1.2.1.4.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.1.1.2.1.5\" xref=\"p1.1.m1.1.1.1.2.1.5.cmml\">b<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.2.1.6\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mn id=\"p1.1.m1.1.1.1.2.1.7.1\" xref=\"p1.1.m1.1.1.1.2.1.7.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1d\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd id=\"p1.1.m1.1.1e\" xref=\"p1.1.m1.1.1.cmml\"\/>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1f\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2.2.1\" xref=\"p1.1.m1.1.1.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1.11\" xref=\"p1.1.m1.1.1.2.2.1.11.cmml\"\/>\n <mo id=\"p1.1.m1.1.1.2.2.1.1\" xref=\"p1.1.m1.1.1.2.2.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.2.1.12\" xref=\"p1.1.m1.1.1.2.2.1.12.cmml\">\n <msup id=\"p1.1.m1.1.1.2.2.1.12.1\" xref=\"p1.1.m1.1.1.2.2.1.12.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1.2\" xref=\"p1.1.m1.1.1.2.2.1.2.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.1.2.2.1.3.1\" xref=\"p1.1.m1.1.1.2.2.1.3.1.cmml\">2<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.1.2.2.1.4\" xref=\"p1.1.m1.1.1.2.2.1.4.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.2.1.12.2\" xref=\"p1.1.m1.1.1.2.2.1.12.2.cmml\">\n <mn id=\"p1.1.m1.1.1.2.2.1.5\" xref=\"p1.1.m1.1.1.2.2.1.5.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.1.2.2.1.12.2.1\" xref=\"p1.1.m1.1.1.2.2.1.12.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.1.2.2.1.6\" xref=\"p1.1.m1.1.1.2.2.1.6.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.1.2.2.1.12.2.1a\" xref=\"p1.1.m1.1.1.2.2.1.12.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.1.2.2.1.7\" xref=\"p1.1.m1.1.1.2.2.1.7.cmml\">b<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.1.2.2.1.4a\" xref=\"p1.1.m1.1.1.2.2.1.4.cmml\">+<\/mo>\n <msup id=\"p1.1.m1.1.1.2.2.1.12.3\" xref=\"p1.1.m1.1.1.2.2.1.12.3.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1.9\" xref=\"p1.1.m1.1.1.2.2.1.9.cmml\">b<\/mi>\n <mn id=\"p1.1.m1.1.1.2.2.1.10.1\" xref=\"p1.1.m1.1.1.2.2.1.10.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <matrixrow id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n <apply id=\"p1.1.m1.1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1.1.1\">\n <times id=\"p1.1.m1.1.1.1.1.1.5.cmml\" xref=\"p1.1.m1.1.1.1.1.1.5\"\/>\n <ci id=\"p1.1.m1.1.1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1.1.1.1\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.1.1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.1.1.1.3\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1\">\n <eq id=\"p1.1.m1.1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.2.1.8.cmml\" xref=\"p1.1.m1.1.1.1.2.1.8\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.1.1.2.1.9.cmml\" xref=\"p1.1.m1.1.1.1.2.1.9\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.1.2.1.9.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1.9\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\" xref=\"p1.1.m1.1.1.1.2.1.9.2\">\n <plus id=\"p1.1.m1.1.1.1.2.1.4.cmml\" xref=\"p1.1.m1.1.1.1.2.1.4\"\/>\n <ci id=\"p1.1.m1.1.1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.1.1.2.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.1.1.2.1.5.cmml\" xref=\"p1.1.m1.1.1.1.2.1.5\">\ud835\udc4f<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.1.2.1.7.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1.7.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <cerror id=\"p1.1.m1.1.1c.cmml\" xref=\"p1.1.m1.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1d.cmml\" xref=\"p1.1.m1.1.1\">missing-subexpression<\/csymbol>\n <\/cerror>\n <apply id=\"p1.1.m1.1.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1\">\n <eq id=\"p1.1.m1.1.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.2.2.1.11.cmml\" xref=\"p1.1.m1.1.1.2.2.1.11\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.1.2.2.1.12.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12\">\n <plus id=\"p1.1.m1.1.1.2.2.1.4.cmml\" xref=\"p1.1.m1.1.1.2.2.1.4\"\/>\n <apply id=\"p1.1.m1.1.1.2.2.1.12.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.2.1.12.1.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.2.2.1.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.3.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.3.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.2.2.1.12.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.2\">\n <times id=\"p1.1.m1.1.1.2.2.1.12.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.2.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.5.cmml\" xref=\"p1.1.m1.1.1.2.2.1.5\">2<\/cn>\n <ci id=\"p1.1.m1.1.1.2.2.1.6.cmml\" xref=\"p1.1.m1.1.1.2.2.1.6\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.1.2.2.1.7.cmml\" xref=\"p1.1.m1.1.1.2.2.1.7\">\ud835\udc4f<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.2.2.1.12.3.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.2.1.12.3.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.2.2.1.9.cmml\" xref=\"p1.1.m1.1.1.2.2.1.9\">\ud835\udc4f<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.10.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.10.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{aligned} \\displaystyle f(x)&\\displaystyle=(%\na+b)^{2}\\\\\n&\\displaystyle=a^{2}+2ab+b^{2}\\\\\n\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\n\\begin{alignat}{2}\nf(x) & = (a-b)^2 \\\\\n& = a^2-2ab+b^2 \\\\\n\\end{alignat}\n",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{alignedat}{2}f(x)&=(a-b)^{2}\\\\&=a^{2}-2ab+b^{2}\\\\\\end{alignedat}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"right left right left\" rowspacing=\"3pt\" columnspacing=\"0em 0em 0em 0em\" displaystyle=\"true\">\n <mtr>\n <mtd>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>a<\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>b<\/mi>\n <msup>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd \/>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <msup>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>−<!-- \u2212 --><\/mo>\n <mn>2<\/mn>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <mo>+<\/mo>\n <msup>\n <mi>b<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{alignedat}{2}f(x)&=(a-b)^{2}\\\\&=a^{2}-2ab+b^{2}\\\\\\end{alignedat}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{aligned} \\displaystyle f(x)&\\displaystyle=(% a-b)^{2}\\\\ &\\displaystyle=a^{2}-2ab+b^{2}\\\\ \\end{aligned}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mtable columnspacing=\"0pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mtr id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.1b\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.1.1.1\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.1.1.1\" xref=\"p1.1.m1.1.1.1.1.1.1.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.1.1.1.1.5\" xref=\"p1.1.m1.1.1.1.1.1.5.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.1.1.6\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.1.1.2\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.1.1.1.1.3\" xref=\"p1.1.m1.1.1.1.1.1.3.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.1.1.4\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1c\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.1.2.1\" xref=\"p1.1.m1.1.1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.2.1.8\" xref=\"p1.1.m1.1.1.1.2.1.8.cmml\"\/>\n <mo id=\"p1.1.m1.1.1.1.2.1.1\" xref=\"p1.1.m1.1.1.1.2.1.1.cmml\">=<\/mo>\n <msup id=\"p1.1.m1.1.1.1.2.1.9\" xref=\"p1.1.m1.1.1.1.2.1.9.cmml\">\n <mrow id=\"p1.1.m1.1.1.1.2.1.9.2\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.2.1.2\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.2.1.9.2.2\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.1.1.2.1.3\" xref=\"p1.1.m1.1.1.1.2.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.1.1.2.1.4\" xref=\"p1.1.m1.1.1.1.2.1.4.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.1.1.2.1.5\" xref=\"p1.1.m1.1.1.1.2.1.5.cmml\">b<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.2.1.6\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mn id=\"p1.1.m1.1.1.1.2.1.7.1\" xref=\"p1.1.m1.1.1.1.2.1.7.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1d\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd id=\"p1.1.m1.1.1e\" xref=\"p1.1.m1.1.1.cmml\"\/>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1f\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2.2.1\" xref=\"p1.1.m1.1.1.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1.11\" xref=\"p1.1.m1.1.1.2.2.1.11.cmml\"\/>\n <mo id=\"p1.1.m1.1.1.2.2.1.1\" xref=\"p1.1.m1.1.1.2.2.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.2.1.12\" xref=\"p1.1.m1.1.1.2.2.1.12.cmml\">\n <mrow id=\"p1.1.m1.1.1.2.2.1.12.1\" xref=\"p1.1.m1.1.1.2.2.1.12.1.cmml\">\n <msup id=\"p1.1.m1.1.1.2.2.1.12.1.1\" xref=\"p1.1.m1.1.1.2.2.1.12.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1.2\" xref=\"p1.1.m1.1.1.2.2.1.2.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.1.2.2.1.3.1\" xref=\"p1.1.m1.1.1.2.2.1.3.1.cmml\">2<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.1.2.2.1.4\" xref=\"p1.1.m1.1.1.2.2.1.4.cmml\">-<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.2.1.12.1.2\" xref=\"p1.1.m1.1.1.2.2.1.12.1.2.cmml\">\n <mn id=\"p1.1.m1.1.1.2.2.1.5\" xref=\"p1.1.m1.1.1.2.2.1.5.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.1.2.2.1.12.1.2.1\" xref=\"p1.1.m1.1.1.2.2.1.12.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.1.2.2.1.6\" xref=\"p1.1.m1.1.1.2.2.1.6.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.1.2.2.1.12.1.2.1a\" xref=\"p1.1.m1.1.1.2.2.1.12.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.1.2.2.1.7\" xref=\"p1.1.m1.1.1.2.2.1.7.cmml\">b<\/mi>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.1.2.2.1.8\" xref=\"p1.1.m1.1.1.2.2.1.8.cmml\">+<\/mo>\n <msup id=\"p1.1.m1.1.1.2.2.1.12.2\" xref=\"p1.1.m1.1.1.2.2.1.12.2.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1.9\" xref=\"p1.1.m1.1.1.2.2.1.9.cmml\">b<\/mi>\n <mn id=\"p1.1.m1.1.1.2.2.1.10.1\" xref=\"p1.1.m1.1.1.2.2.1.10.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <matrixrow id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n <apply id=\"p1.1.m1.1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1.1.1\">\n <times id=\"p1.1.m1.1.1.1.1.1.5.cmml\" xref=\"p1.1.m1.1.1.1.1.1.5\"\/>\n <ci id=\"p1.1.m1.1.1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1.1.1.1\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.1.1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.1.1.1.3\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1\">\n <eq id=\"p1.1.m1.1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.2.1.8.cmml\" xref=\"p1.1.m1.1.1.1.2.1.8\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.1.1.2.1.9.cmml\" xref=\"p1.1.m1.1.1.1.2.1.9\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.1.2.1.9.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1.9\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\" xref=\"p1.1.m1.1.1.1.2.1.9.2\">\n <minus id=\"p1.1.m1.1.1.1.2.1.4.cmml\" xref=\"p1.1.m1.1.1.1.2.1.4\"\/>\n <ci id=\"p1.1.m1.1.1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.1.1.2.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.1.1.2.1.5.cmml\" xref=\"p1.1.m1.1.1.1.2.1.5\">\ud835\udc4f<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.1.2.1.7.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1.7.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <cerror id=\"p1.1.m1.1.1c.cmml\" xref=\"p1.1.m1.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1d.cmml\" xref=\"p1.1.m1.1.1\">missing-subexpression<\/csymbol>\n <\/cerror>\n <apply id=\"p1.1.m1.1.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1\">\n <eq id=\"p1.1.m1.1.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.2.2.1.11.cmml\" xref=\"p1.1.m1.1.1.2.2.1.11\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.1.2.2.1.12.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12\">\n <plus id=\"p1.1.m1.1.1.2.2.1.8.cmml\" xref=\"p1.1.m1.1.1.2.2.1.8\"\/>\n <apply id=\"p1.1.m1.1.1.2.2.1.12.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.1\">\n <minus id=\"p1.1.m1.1.1.2.2.1.4.cmml\" xref=\"p1.1.m1.1.1.2.2.1.4\"\/>\n <apply id=\"p1.1.m1.1.1.2.2.1.12.1.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.2.1.12.1.1.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.1.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.2.2.1.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.3.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.3.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.2.2.1.12.1.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.1.2\">\n <times id=\"p1.1.m1.1.1.2.2.1.12.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.1.2.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.5.cmml\" xref=\"p1.1.m1.1.1.2.2.1.5\">2<\/cn>\n <ci id=\"p1.1.m1.1.1.2.2.1.6.cmml\" xref=\"p1.1.m1.1.1.2.2.1.6\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.1.2.2.1.7.cmml\" xref=\"p1.1.m1.1.1.2.2.1.7\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.2.2.1.12.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.1.2.2.1.12.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.12.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.2.2.1.9.cmml\" xref=\"p1.1.m1.1.1.2.2.1.9\">\ud835\udc4f<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.10.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.10.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{aligned} \\displaystyle f(x)&\\displaystyle=(%\na-b)^{2}\\\\\n&\\displaystyle=a^{2}-2ab+b^{2}\\\\\n\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\begin{array}{lcl}\nz & = & a \\\\\nf(x,y,z) & = & x + y + z\n\\end{array}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{array}{lcl}z&=&a\\\\f(x,y,z)&=&x+y+z\\end{array}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"left center left\" rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mo>=<\/mo>\n <\/mtd>\n <mtd>\n <mi>a<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi>y<\/mi>\n <mo>,<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <mtd>\n <mo>=<\/mo>\n <\/mtd>\n <mtd>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mi>y<\/mi>\n <mo>+<\/mo>\n <mi>z<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{array}{lcl}z&=&a\\\\f(x,y,z)&=&x+y+z\\end{array}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{array}[]{lcl}z&=&a\\\\ f(x,y,z)&=&x+y+z\\end{array}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mtr id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1b\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.1.1\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">z<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1c\" xref=\"p1.1.m1.1.1.cmml\">\n <mo id=\"p1.1.m1.1.1.1.2.1\" xref=\"p1.1.m1.1.1.1.2.1.cmml\">=<\/mo>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1d\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.3.1\" xref=\"p1.1.m1.1.1.1.3.1.cmml\">a<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1e\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1f\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2.1.1\" xref=\"p1.1.m1.1.1.2.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1.1.1\" xref=\"p1.1.m1.1.1.2.1.1.1.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.1.2.1.1.9\" xref=\"p1.1.m1.1.1.2.1.1.9.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.1.1.10\" xref=\"p1.1.m1.1.1.2.1.1.10.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.1.1.2\" xref=\"p1.1.m1.1.1.2.1.1.10.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.1.2.1.1.3\" xref=\"p1.1.m1.1.1.2.1.1.3.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.1.2.1.1.4\" xref=\"p1.1.m1.1.1.2.1.1.10.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.1.2.1.1.5\" xref=\"p1.1.m1.1.1.2.1.1.5.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.1.2.1.1.6\" xref=\"p1.1.m1.1.1.2.1.1.10.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.1.2.1.1.7\" xref=\"p1.1.m1.1.1.2.1.1.7.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.1.1.8\" xref=\"p1.1.m1.1.1.2.1.1.10.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1g\" xref=\"p1.1.m1.1.1.cmml\">\n <mo id=\"p1.1.m1.1.1.2.2.1\" xref=\"p1.1.m1.1.1.2.2.1.cmml\">=<\/mo>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1h\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2.3.1\" xref=\"p1.1.m1.1.1.2.3.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.3.1.1\" xref=\"p1.1.m1.1.1.2.3.1.1.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.1.2.3.1.2\" xref=\"p1.1.m1.1.1.2.3.1.2.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.1.2.3.1.3\" xref=\"p1.1.m1.1.1.2.3.1.3.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.1.2.3.1.2a\" xref=\"p1.1.m1.1.1.2.3.1.2.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.1.2.3.1.5\" xref=\"p1.1.m1.1.1.2.3.1.5.cmml\">z<\/mi>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <matrixrow id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1.1.1\">\ud835\udc67<\/ci>\n <eq id=\"p1.1.m1.1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.1.1.3.1.cmml\" xref=\"p1.1.m1.1.1.1.3.1\">\ud835\udc4e<\/ci>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <apply id=\"p1.1.m1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.1.1\">\n <times id=\"p1.1.m1.1.1.2.1.1.9.cmml\" xref=\"p1.1.m1.1.1.2.1.1.9\"\/>\n <ci id=\"p1.1.m1.1.1.2.1.1.1.cmml\" xref=\"p1.1.m1.1.1.2.1.1.1\">\ud835\udc53<\/ci>\n <vector id=\"p1.1.m1.1.1.2.1.1.10.1.cmml\" xref=\"p1.1.m1.1.1.2.1.1.10\">\n <ci id=\"p1.1.m1.1.1.2.1.1.3.cmml\" xref=\"p1.1.m1.1.1.2.1.1.3\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.2.1.1.5.cmml\" xref=\"p1.1.m1.1.1.2.1.1.5\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.1.2.1.1.7.cmml\" xref=\"p1.1.m1.1.1.2.1.1.7\">\ud835\udc67<\/ci>\n <\/vector>\n <\/apply>\n <eq id=\"p1.1.m1.1.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.3.1.cmml\" xref=\"p1.1.m1.1.1.2.3.1\">\n <plus id=\"p1.1.m1.1.1.2.3.1.2.cmml\" xref=\"p1.1.m1.1.1.2.3.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.2.3.1.1.cmml\" xref=\"p1.1.m1.1.1.2.3.1.1\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.2.3.1.3.cmml\" xref=\"p1.1.m1.1.1.2.3.1.3\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.1.2.3.1.5.cmml\" xref=\"p1.1.m1.1.1.2.3.1.5\">\ud835\udc67<\/ci>\n <\/apply>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{array}[]{lcl}z&=&a\\\\\nf(x,y,z)&=&x+y+z\\end{array}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\begin{array}{lcr}\nz & = & a \\\\\nf(x,y,z) & = & x + y + z\n\\end{array}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{array}{lcr}z&=&a\\\\f(x,y,z)&=&x+y+z\\end{array}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"left center right\" rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mo>=<\/mo>\n <\/mtd>\n <mtd>\n <mi>a<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi>y<\/mi>\n <mo>,<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <mtd>\n <mo>=<\/mo>\n <\/mtd>\n <mtd>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mi>y<\/mi>\n <mo>+<\/mo>\n <mi>z<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{array}{lcr}z&=&a\\\\f(x,y,z)&=&x+y+z\\end{array}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{array}[]{lcr}z&=&a\\\\ f(x,y,z)&=&x+y+z\\end{array}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mtr id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1b\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.1.1\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">z<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1c\" xref=\"p1.1.m1.1.1.cmml\">\n <mo id=\"p1.1.m1.1.1.1.2.1\" xref=\"p1.1.m1.1.1.1.2.1.cmml\">=<\/mo>\n <\/mtd>\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.1d\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.3.1\" xref=\"p1.1.m1.1.1.1.3.1.cmml\">a<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1e\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1f\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2.1.1\" xref=\"p1.1.m1.1.1.2.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1.1.1\" xref=\"p1.1.m1.1.1.2.1.1.1.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.1.2.1.1.9\" xref=\"p1.1.m1.1.1.2.1.1.9.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.1.1.10\" xref=\"p1.1.m1.1.1.2.1.1.10.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.1.1.2\" xref=\"p1.1.m1.1.1.2.1.1.10.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.1.2.1.1.3\" xref=\"p1.1.m1.1.1.2.1.1.3.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.1.2.1.1.4\" xref=\"p1.1.m1.1.1.2.1.1.10.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.1.2.1.1.5\" xref=\"p1.1.m1.1.1.2.1.1.5.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.1.2.1.1.6\" xref=\"p1.1.m1.1.1.2.1.1.10.1.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.1.2.1.1.7\" xref=\"p1.1.m1.1.1.2.1.1.7.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.1.1.8\" xref=\"p1.1.m1.1.1.2.1.1.10.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.1g\" xref=\"p1.1.m1.1.1.cmml\">\n <mo id=\"p1.1.m1.1.1.2.2.1\" xref=\"p1.1.m1.1.1.2.2.1.cmml\">=<\/mo>\n <\/mtd>\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.1h\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2.3.1\" xref=\"p1.1.m1.1.1.2.3.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.3.1.1\" xref=\"p1.1.m1.1.1.2.3.1.1.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.1.2.3.1.2\" xref=\"p1.1.m1.1.1.2.3.1.2.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.1.2.3.1.3\" xref=\"p1.1.m1.1.1.2.3.1.3.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.1.2.3.1.2a\" xref=\"p1.1.m1.1.1.2.3.1.2.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.1.2.3.1.5\" xref=\"p1.1.m1.1.1.2.3.1.5.cmml\">z<\/mi>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <matrixrow id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1.1.1\">\ud835\udc67<\/ci>\n <eq id=\"p1.1.m1.1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.1.1.3.1.cmml\" xref=\"p1.1.m1.1.1.1.3.1\">\ud835\udc4e<\/ci>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <apply id=\"p1.1.m1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.1.1\">\n <times id=\"p1.1.m1.1.1.2.1.1.9.cmml\" xref=\"p1.1.m1.1.1.2.1.1.9\"\/>\n <ci id=\"p1.1.m1.1.1.2.1.1.1.cmml\" xref=\"p1.1.m1.1.1.2.1.1.1\">\ud835\udc53<\/ci>\n <vector id=\"p1.1.m1.1.1.2.1.1.10.1.cmml\" xref=\"p1.1.m1.1.1.2.1.1.10\">\n <ci id=\"p1.1.m1.1.1.2.1.1.3.cmml\" xref=\"p1.1.m1.1.1.2.1.1.3\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.2.1.1.5.cmml\" xref=\"p1.1.m1.1.1.2.1.1.5\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.1.2.1.1.7.cmml\" xref=\"p1.1.m1.1.1.2.1.1.7\">\ud835\udc67<\/ci>\n <\/vector>\n <\/apply>\n <eq id=\"p1.1.m1.1.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.3.1.cmml\" xref=\"p1.1.m1.1.1.2.3.1\">\n <plus id=\"p1.1.m1.1.1.2.3.1.2.cmml\" xref=\"p1.1.m1.1.1.2.3.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.2.3.1.1.cmml\" xref=\"p1.1.m1.1.1.2.3.1.1\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.2.3.1.3.cmml\" xref=\"p1.1.m1.1.1.2.3.1.3\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.1.2.3.1.5.cmml\" xref=\"p1.1.m1.1.1.2.3.1.5\">\ud835\udc67<\/ci>\n <\/apply>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{array}[]{lcr}z&=&a\\\\\nf(x,y,z)&=&x+y+z\\end{array}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "f(x) \\,\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle f(x)\\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle f(x)\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle f(x)\\,\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mo rspace=\"2.5pt\" stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <times id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle f(x)\\,\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "= \\sum_{n=0}^\\infty a_n x^n ",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle =\\sum _{n=0}^{\\infty }a_{n}x^{n}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>=<\/mo>\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle =\\sum _{n=0}^{\\infty }a_{n}x^{n}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle=\\sum_{n=0}^{\\infty}a_{n}x^{n}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\"\/>\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.9.2.1\" xref=\"p1.1.m1.1.9.2.1.cmml\">\n <munderover id=\"p1.1.m1.1.9.2.1a\" xref=\"p1.1.m1.1.9.2.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mi id=\"p1.1.m1.1.3.1.1\" xref=\"p1.1.m1.1.3.1.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.3.1.2\" xref=\"p1.1.m1.1.3.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.3.1.3\" xref=\"p1.1.m1.1.3.1.3.cmml\">0<\/mn>\n <\/mrow>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u221e<\/mi>\n <\/munderover>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.9.2.2\" xref=\"p1.1.m1.1.9.2.2.cmml\">\n <msub id=\"p1.1.m1.1.9.2.2.2\" xref=\"p1.1.m1.1.9.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">n<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.9.2.2.1\" xref=\"p1.1.m1.1.9.2.2.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.9.2.2.3\" xref=\"p1.1.m1.1.9.2.2.3.cmml\">\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">x<\/mi>\n <mi id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">n<\/mi>\n <\/msup>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <eq id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.9.2.cmml\" xref=\"p1.1.m1.1.9.2\">\n <apply id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.9.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.1.1.cmml\" xref=\"p1.1.m1.1.9.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.9.2.1.2.cmml\" xref=\"p1.1.m1.1.9.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.1.2.1.cmml\" xref=\"p1.1.m1.1.9.2.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <apply id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\n <eq id=\"p1.1.m1.1.3.1.2.cmml\" xref=\"p1.1.m1.1.3.1.2\"\/>\n <ci id=\"p1.1.m1.1.3.1.1.cmml\" xref=\"p1.1.m1.1.3.1.1\">\ud835\udc5b<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.3.cmml\" xref=\"p1.1.m1.1.3.1.3\">0<\/cn>\n <\/apply>\n <\/apply>\n <infinity id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.2.2.cmml\" xref=\"p1.1.m1.1.9.2.2\">\n <times id=\"p1.1.m1.1.9.2.2.1.cmml\" xref=\"p1.1.m1.1.9.2.2.1\"\/>\n <apply id=\"p1.1.m1.1.9.2.2.2.cmml\" xref=\"p1.1.m1.1.9.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.2.2.1.cmml\" xref=\"p1.1.m1.1.9.2.2.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.2.2.3.cmml\" xref=\"p1.1.m1.1.9.2.2.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.2.3.1.cmml\" xref=\"p1.1.m1.1.9.2.2.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle=\\sum_{n=0}^{\\infty}a_{n}x^{n}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "= a_0+a_1x+a_2x^2+\\cdots",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle =a_{0}+a_{1}x+a_{2}x^{2}+\\cdots }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>=<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <mo>+<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msub>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mo>⋯<!-- \u22ef --><\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle =a_{0}+a_{1}x+a_{2}x^{2}+\\cdots }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle=a_{0}+a_{1}x+a_{2}x^{2}+\\cdots}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n <mi id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\"\/>\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.15.2\" xref=\"p1.1.m1.1.15.2.cmml\">\n <msub id=\"p1.1.m1.1.15.2.1\" xref=\"p1.1.m1.1.15.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">0<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.15.2.2\" xref=\"p1.1.m1.1.15.2.2.cmml\">\n <msub id=\"p1.1.m1.1.15.2.2.2\" xref=\"p1.1.m1.1.15.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">1<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.15.2.2.1\" xref=\"p1.1.m1.1.15.2.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">x<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.15.2.3\" xref=\"p1.1.m1.1.15.2.3.cmml\">\n <msub id=\"p1.1.m1.1.15.2.3.2\" xref=\"p1.1.m1.1.15.2.3.2.cmml\">\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">2<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.15.2.3.1\" xref=\"p1.1.m1.1.15.2.3.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.15.2.3.3\" xref=\"p1.1.m1.1.15.2.3.3.cmml\">\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4b\" xref=\"p1.1.m1.1.4.cmml\">+<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\u22ef<\/mi>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n <eq id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.15.2.cmml\" xref=\"p1.1.m1.1.15.2\">\n <plus id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <apply id=\"p1.1.m1.1.15.2.1.cmml\" xref=\"p1.1.m1.1.15.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.2.1.1.cmml\" xref=\"p1.1.m1.1.15.2.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">0<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.2.2.cmml\" xref=\"p1.1.m1.1.15.2.2\">\n <times id=\"p1.1.m1.1.15.2.2.1.cmml\" xref=\"p1.1.m1.1.15.2.2.1\"\/>\n <apply id=\"p1.1.m1.1.15.2.2.2.cmml\" xref=\"p1.1.m1.1.15.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.2.2.2.1.cmml\" xref=\"p1.1.m1.1.15.2.2.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.2.3.cmml\" xref=\"p1.1.m1.1.15.2.3\">\n <times id=\"p1.1.m1.1.15.2.3.1.cmml\" xref=\"p1.1.m1.1.15.2.3.1\"\/>\n <apply id=\"p1.1.m1.1.15.2.3.2.cmml\" xref=\"p1.1.m1.1.15.2.3.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.2.3.2.1.cmml\" xref=\"p1.1.m1.1.15.2.3.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.2.3.3.cmml\" xref=\"p1.1.m1.1.15.2.3.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.2.3.3.1.cmml\" xref=\"p1.1.m1.1.15.2.3.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\u22ef<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle=a_{0}+a_{1}x+a_{2}x^{2}+\\cdots}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "f(x) \\,\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle f(x)\\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle f(x)\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle f(x)\\,\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.7.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mo rspace=\"2.5pt\" stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.7.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <times id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle f(x)\\,\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "= \\sum_{n=0}^\\infty a_n x^n ",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle =\\sum _{n=0}^{\\infty }a_{n}x^{n}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>=<\/mo>\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle =\\sum _{n=0}^{\\infty }a_{n}x^{n}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle=\\sum_{n=0}^{\\infty}a_{n}x^{n}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\"\/>\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.9.2.1\" xref=\"p1.1.m1.1.9.2.1.cmml\">\n <munderover id=\"p1.1.m1.1.9.2.1a\" xref=\"p1.1.m1.1.9.2.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mi id=\"p1.1.m1.1.3.1.1\" xref=\"p1.1.m1.1.3.1.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.3.1.2\" xref=\"p1.1.m1.1.3.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.3.1.3\" xref=\"p1.1.m1.1.3.1.3.cmml\">0<\/mn>\n <\/mrow>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u221e<\/mi>\n <\/munderover>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.9.2.2\" xref=\"p1.1.m1.1.9.2.2.cmml\">\n <msub id=\"p1.1.m1.1.9.2.2.2\" xref=\"p1.1.m1.1.9.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">n<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.9.2.2.1\" xref=\"p1.1.m1.1.9.2.2.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.9.2.2.3\" xref=\"p1.1.m1.1.9.2.2.3.cmml\">\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">x<\/mi>\n <mi id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">n<\/mi>\n <\/msup>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <eq id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.9.2.cmml\" xref=\"p1.1.m1.1.9.2\">\n <apply id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.9.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.1.1.cmml\" xref=\"p1.1.m1.1.9.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.9.2.1.2.cmml\" xref=\"p1.1.m1.1.9.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.1.2.1.cmml\" xref=\"p1.1.m1.1.9.2.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <apply id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\n <eq id=\"p1.1.m1.1.3.1.2.cmml\" xref=\"p1.1.m1.1.3.1.2\"\/>\n <ci id=\"p1.1.m1.1.3.1.1.cmml\" xref=\"p1.1.m1.1.3.1.1\">\ud835\udc5b<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.3.cmml\" xref=\"p1.1.m1.1.3.1.3\">0<\/cn>\n <\/apply>\n <\/apply>\n <infinity id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.2.2.cmml\" xref=\"p1.1.m1.1.9.2.2\">\n <times id=\"p1.1.m1.1.9.2.2.1.cmml\" xref=\"p1.1.m1.1.9.2.2.1\"\/>\n <apply id=\"p1.1.m1.1.9.2.2.2.cmml\" xref=\"p1.1.m1.1.9.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.2.2.1.cmml\" xref=\"p1.1.m1.1.9.2.2.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.2.2.3.cmml\" xref=\"p1.1.m1.1.9.2.2.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.2.3.1.cmml\" xref=\"p1.1.m1.1.9.2.2.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle=\\sum_{n=0}^{\\infty}a_{n}x^{n}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "= a_0 +a_1x+a_2x^2+\\cdots",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle =a_{0}+a_{1}x+a_{2}x^{2}+\\cdots }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>=<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <mo>+<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msub>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mo>⋯<!-- \u22ef --><\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle =a_{0}+a_{1}x+a_{2}x^{2}+\\cdots }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle=a_{0}+a_{1}x+a_{2}x^{2}+\\cdots}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n <mi id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\"\/>\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.15.2\" xref=\"p1.1.m1.1.15.2.cmml\">\n <msub id=\"p1.1.m1.1.15.2.1\" xref=\"p1.1.m1.1.15.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">0<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.15.2.2\" xref=\"p1.1.m1.1.15.2.2.cmml\">\n <msub id=\"p1.1.m1.1.15.2.2.2\" xref=\"p1.1.m1.1.15.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">1<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.15.2.2.1\" xref=\"p1.1.m1.1.15.2.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">x<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.15.2.3\" xref=\"p1.1.m1.1.15.2.3.cmml\">\n <msub id=\"p1.1.m1.1.15.2.3.2\" xref=\"p1.1.m1.1.15.2.3.2.cmml\">\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">2<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.15.2.3.1\" xref=\"p1.1.m1.1.15.2.3.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.15.2.3.3\" xref=\"p1.1.m1.1.15.2.3.3.cmml\">\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4b\" xref=\"p1.1.m1.1.4.cmml\">+<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\u22ef<\/mi>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n <eq id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.15.2.cmml\" xref=\"p1.1.m1.1.15.2\">\n <plus id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <apply id=\"p1.1.m1.1.15.2.1.cmml\" xref=\"p1.1.m1.1.15.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.2.1.1.cmml\" xref=\"p1.1.m1.1.15.2.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">0<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.2.2.cmml\" xref=\"p1.1.m1.1.15.2.2\">\n <times id=\"p1.1.m1.1.15.2.2.1.cmml\" xref=\"p1.1.m1.1.15.2.2.1\"\/>\n <apply id=\"p1.1.m1.1.15.2.2.2.cmml\" xref=\"p1.1.m1.1.15.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.2.2.2.1.cmml\" xref=\"p1.1.m1.1.15.2.2.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.2.3.cmml\" xref=\"p1.1.m1.1.15.2.3\">\n <times id=\"p1.1.m1.1.15.2.3.1.cmml\" xref=\"p1.1.m1.1.15.2.3.1\"\/>\n <apply id=\"p1.1.m1.1.15.2.3.2.cmml\" xref=\"p1.1.m1.1.15.2.3.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.2.3.2.1.cmml\" xref=\"p1.1.m1.1.15.2.3.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.15.2.3.3.cmml\" xref=\"p1.1.m1.1.15.2.3.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.15.2.3.3.1.cmml\" xref=\"p1.1.m1.1.15.2.3.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\u22ef<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle=a_{0}+a_{1}x+a_{2}x^{2}+\\cdots}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\begin{cases} 3x + 5y + z \\\\ 7x - 2y + 4z \\\\ -6x + 3y + 2z \\end{cases}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{cases}3x+5y+z\\\\7x-2y+4z\\\\-6x+3y+2z\\end{cases}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>{<\/mo>\n <mtable columnalign=\"left left\" rowspacing=\".2em\" columnspacing=\"1em\" displaystyle=\"false\">\n <mtr>\n <mtd>\n <mn>3<\/mn>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mn>5<\/mn>\n <mi>y<\/mi>\n <mo>+<\/mo>\n <mi>z<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>7<\/mn>\n <mi>x<\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mn>2<\/mn>\n <mi>y<\/mi>\n <mo>+<\/mo>\n <mn>4<\/mn>\n <mi>z<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mo>−<!-- \u2212 --><\/mo>\n <mn>6<\/mn>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mn>3<\/mn>\n <mi>y<\/mi>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <mi>z<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\"><\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{cases}3x+5y+z\\\\7x-2y+4z\\\\-6x+3y+2z\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{cases}3x+5y+z\\\\ 7x-2y+4z\\\\ -6x+3y+2z\\end{cases}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.3.1.1.cmml\">{<\/mo>\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mtr id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.2b\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mrow id=\"p1.1.m1.1.2.1.1.1\" xref=\"p1.1.m1.1.2.1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.2.1.1.1.8\" xref=\"p1.1.m1.1.2.1.1.1.8.cmml\">\n <mn id=\"p1.1.m1.1.2.1.1.1.1\" xref=\"p1.1.m1.1.2.1.1.1.1.cmml\">3<\/mn>\n <mo id=\"p1.1.m1.1.2.1.1.1.8.1\" xref=\"p1.1.m1.1.2.1.1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.1.1.1.2\" xref=\"p1.1.m1.1.2.1.1.1.2.cmml\">x<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.2.1.1.1.3\" xref=\"p1.1.m1.1.2.1.1.1.3.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.2.1.1.1.9\" xref=\"p1.1.m1.1.2.1.1.1.9.cmml\">\n <mn id=\"p1.1.m1.1.2.1.1.1.4\" xref=\"p1.1.m1.1.2.1.1.1.4.cmml\">5<\/mn>\n <mo id=\"p1.1.m1.1.2.1.1.1.9.1\" xref=\"p1.1.m1.1.2.1.1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.1.1.1.5\" xref=\"p1.1.m1.1.2.1.1.1.5.cmml\">y<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.2.1.1.1.3a\" xref=\"p1.1.m1.1.2.1.1.1.3.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.2.1.1.1.7\" xref=\"p1.1.m1.1.2.1.1.1.7.cmml\">z<\/mi>\n <\/mrow>\n <\/mtd>\n <mtd id=\"p1.1.m1.1.2c\" xref=\"p1.1.m1.1.3.1.1.cmml\"\/>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.2d\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.2e\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mrow id=\"p1.1.m1.1.2.2.1.1\" xref=\"p1.1.m1.1.2.2.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.2.2.1.1.9\" xref=\"p1.1.m1.1.2.2.1.1.9.cmml\">\n <mrow id=\"p1.1.m1.1.2.2.1.1.9.1\" xref=\"p1.1.m1.1.2.2.1.1.9.1.cmml\">\n <mn id=\"p1.1.m1.1.2.2.1.1.1\" xref=\"p1.1.m1.1.2.2.1.1.1.cmml\">7<\/mn>\n <mo id=\"p1.1.m1.1.2.2.1.1.9.1.1\" xref=\"p1.1.m1.1.2.2.1.1.9.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.2.1.1.2\" xref=\"p1.1.m1.1.2.2.1.1.2.cmml\">x<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.2.2.1.1.3\" xref=\"p1.1.m1.1.2.2.1.1.3.cmml\">-<\/mo>\n <mrow id=\"p1.1.m1.1.2.2.1.1.9.2\" xref=\"p1.1.m1.1.2.2.1.1.9.2.cmml\">\n <mn id=\"p1.1.m1.1.2.2.1.1.4\" xref=\"p1.1.m1.1.2.2.1.1.4.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.2.2.1.1.9.2.1\" xref=\"p1.1.m1.1.2.2.1.1.9.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.2.1.1.5\" xref=\"p1.1.m1.1.2.2.1.1.5.cmml\">y<\/mi>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.2.2.1.1.6\" xref=\"p1.1.m1.1.2.2.1.1.6.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.2.2.1.1.10\" xref=\"p1.1.m1.1.2.2.1.1.10.cmml\">\n <mn id=\"p1.1.m1.1.2.2.1.1.7\" xref=\"p1.1.m1.1.2.2.1.1.7.cmml\">4<\/mn>\n <mo id=\"p1.1.m1.1.2.2.1.1.10.1\" xref=\"p1.1.m1.1.2.2.1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.2.1.1.8\" xref=\"p1.1.m1.1.2.2.1.1.8.cmml\">z<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <mtd id=\"p1.1.m1.1.2f\" xref=\"p1.1.m1.1.3.1.1.cmml\"\/>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.2g\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.2h\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mrow id=\"p1.1.m1.1.2.3.1.1\" xref=\"p1.1.m1.1.2.3.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.2.3.1.1.10\" xref=\"p1.1.m1.1.2.3.1.1.10.cmml\">\n <mo id=\"p1.1.m1.1.2.3.1.1.1\" xref=\"p1.1.m1.1.2.3.1.1.1.cmml\">-<\/mo>\n <mrow id=\"p1.1.m1.1.2.3.1.1.10.1\" xref=\"p1.1.m1.1.2.3.1.1.10.1.cmml\">\n <mn id=\"p1.1.m1.1.2.3.1.1.2\" xref=\"p1.1.m1.1.2.3.1.1.2.cmml\">6<\/mn>\n <mo id=\"p1.1.m1.1.2.3.1.1.10.1.1\" xref=\"p1.1.m1.1.2.3.1.1.10.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.3.1.1.3\" xref=\"p1.1.m1.1.2.3.1.1.3.cmml\">x<\/mi>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.2.3.1.1.4\" xref=\"p1.1.m1.1.2.3.1.1.4.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.2.3.1.1.11\" xref=\"p1.1.m1.1.2.3.1.1.11.cmml\">\n <mn id=\"p1.1.m1.1.2.3.1.1.5\" xref=\"p1.1.m1.1.2.3.1.1.5.cmml\">3<\/mn>\n <mo id=\"p1.1.m1.1.2.3.1.1.11.1\" xref=\"p1.1.m1.1.2.3.1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.3.1.1.6\" xref=\"p1.1.m1.1.2.3.1.1.6.cmml\">y<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.2.3.1.1.4a\" xref=\"p1.1.m1.1.2.3.1.1.4.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.2.3.1.1.12\" xref=\"p1.1.m1.1.2.3.1.1.12.cmml\">\n <mn id=\"p1.1.m1.1.2.3.1.1.8\" xref=\"p1.1.m1.1.2.3.1.1.8.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.2.3.1.1.12.1\" xref=\"p1.1.m1.1.2.3.1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.3.1.1.9\" xref=\"p1.1.m1.1.2.3.1.1.9.cmml\">z<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <mtd id=\"p1.1.m1.1.2i\" xref=\"p1.1.m1.1.3.1.1.cmml\"\/>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.1.1.cmml\" xref=\"p1.1.m1.1.1\">cases<\/csymbol>\n <apply id=\"p1.1.m1.1.2.1.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1.1\">\n <plus id=\"p1.1.m1.1.2.1.1.1.3.cmml\" xref=\"p1.1.m1.1.2.1.1.1.3\"\/>\n <apply id=\"p1.1.m1.1.2.1.1.1.8.cmml\" xref=\"p1.1.m1.1.2.1.1.1.8\">\n <times id=\"p1.1.m1.1.2.1.1.1.8.1.cmml\" xref=\"p1.1.m1.1.2.1.1.1.8.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.1.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1.1.1\">3<\/cn>\n <ci id=\"p1.1.m1.1.2.1.1.1.2.cmml\" xref=\"p1.1.m1.1.2.1.1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.2.1.1.1.9.cmml\" xref=\"p1.1.m1.1.2.1.1.1.9\">\n <times id=\"p1.1.m1.1.2.1.1.1.9.1.cmml\" xref=\"p1.1.m1.1.2.1.1.1.9.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.1.1.4.cmml\" xref=\"p1.1.m1.1.2.1.1.1.4\">5<\/cn>\n <ci id=\"p1.1.m1.1.2.1.1.1.5.cmml\" xref=\"p1.1.m1.1.2.1.1.1.5\">\ud835\udc66<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.2.1.1.1.7.cmml\" xref=\"p1.1.m1.1.2.1.1.1.7\">\ud835\udc67<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.3a.cmml\" xref=\"p1.1.m1.1.3\">\n <mtext id=\"p1.1.m1.1.3.1.3.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc5c\ud835\udc61\u210e\ud835\udc52\ud835\udc5f\ud835\udc64\ud835\udc56\ud835\udc60\ud835\udc52<\/mtext>\n <\/ci>\n <apply id=\"p1.1.m1.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.2.2.1.1\">\n <plus id=\"p1.1.m1.1.2.2.1.1.6.cmml\" xref=\"p1.1.m1.1.2.2.1.1.6\"\/>\n <apply id=\"p1.1.m1.1.2.2.1.1.9.cmml\" xref=\"p1.1.m1.1.2.2.1.1.9\">\n <minus id=\"p1.1.m1.1.2.2.1.1.3.cmml\" xref=\"p1.1.m1.1.2.2.1.1.3\"\/>\n <apply id=\"p1.1.m1.1.2.2.1.1.9.1.cmml\" xref=\"p1.1.m1.1.2.2.1.1.9.1\">\n <times id=\"p1.1.m1.1.2.2.1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.2.2.1.1.9.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.2.1.1.1.cmml\" xref=\"p1.1.m1.1.2.2.1.1.1\">7<\/cn>\n <ci id=\"p1.1.m1.1.2.2.1.1.2.cmml\" xref=\"p1.1.m1.1.2.2.1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.2.2.1.1.9.2.cmml\" xref=\"p1.1.m1.1.2.2.1.1.9.2\">\n <times id=\"p1.1.m1.1.2.2.1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.2.2.1.1.9.2.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.2.1.1.4.cmml\" xref=\"p1.1.m1.1.2.2.1.1.4\">2<\/cn>\n <ci id=\"p1.1.m1.1.2.2.1.1.5.cmml\" xref=\"p1.1.m1.1.2.2.1.1.5\">\ud835\udc66<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.2.2.1.1.10.cmml\" xref=\"p1.1.m1.1.2.2.1.1.10\">\n <times id=\"p1.1.m1.1.2.2.1.1.10.1.cmml\" xref=\"p1.1.m1.1.2.2.1.1.10.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.2.1.1.7.cmml\" xref=\"p1.1.m1.1.2.2.1.1.7\">4<\/cn>\n <ci id=\"p1.1.m1.1.2.2.1.1.8.cmml\" xref=\"p1.1.m1.1.2.2.1.1.8\">\ud835\udc67<\/ci>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.5a.cmml\" xref=\"p1.1.m1.1.3\">\n <mtext id=\"p1.1.m1.1.3.1.5.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc5c\ud835\udc61\u210e\ud835\udc52\ud835\udc5f\ud835\udc64\ud835\udc56\ud835\udc60\ud835\udc52<\/mtext>\n <\/ci>\n <apply id=\"p1.1.m1.1.2.3.1.1.cmml\" xref=\"p1.1.m1.1.2.3.1.1\">\n <plus id=\"p1.1.m1.1.2.3.1.1.4.cmml\" xref=\"p1.1.m1.1.2.3.1.1.4\"\/>\n <apply id=\"p1.1.m1.1.2.3.1.1.10.cmml\" xref=\"p1.1.m1.1.2.3.1.1.10\">\n <minus id=\"p1.1.m1.1.2.3.1.1.1.cmml\" xref=\"p1.1.m1.1.2.3.1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.3.1.1.10.1.cmml\" xref=\"p1.1.m1.1.2.3.1.1.10.1\">\n <times id=\"p1.1.m1.1.2.3.1.1.10.1.1.cmml\" xref=\"p1.1.m1.1.2.3.1.1.10.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.3.1.1.2.cmml\" xref=\"p1.1.m1.1.2.3.1.1.2\">6<\/cn>\n <ci id=\"p1.1.m1.1.2.3.1.1.3.cmml\" xref=\"p1.1.m1.1.2.3.1.1.3\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.2.3.1.1.11.cmml\" xref=\"p1.1.m1.1.2.3.1.1.11\">\n <times id=\"p1.1.m1.1.2.3.1.1.11.1.cmml\" xref=\"p1.1.m1.1.2.3.1.1.11.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.3.1.1.5.cmml\" xref=\"p1.1.m1.1.2.3.1.1.5\">3<\/cn>\n <ci id=\"p1.1.m1.1.2.3.1.1.6.cmml\" xref=\"p1.1.m1.1.2.3.1.1.6\">\ud835\udc66<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.2.3.1.1.12.cmml\" xref=\"p1.1.m1.1.2.3.1.1.12\">\n <times id=\"p1.1.m1.1.2.3.1.1.12.1.cmml\" xref=\"p1.1.m1.1.2.3.1.1.12.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.3.1.1.8.cmml\" xref=\"p1.1.m1.1.2.3.1.1.8\">2<\/cn>\n <ci id=\"p1.1.m1.1.2.3.1.1.9.cmml\" xref=\"p1.1.m1.1.2.3.1.1.9\">\ud835\udc67<\/ci>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.7a.cmml\" xref=\"p1.1.m1.1.3\">\n <mtext id=\"p1.1.m1.1.3.1.7.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc5c\ud835\udc61\u210e\ud835\udc52\ud835\udc5f\ud835\udc64\ud835\udc56\ud835\udc60\ud835\udc52<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{cases}3x+5y+z\\\\\n7x-2y+4z\\\\\n-6x+3y+2z\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\n\\begin{array}{|c|c||c|} a & b & S \\\\\n\\hline\n0&0&1\\\\\n0&1&1\\\\\n1&0&1\\\\\n1&1&0\\\\\n\\end{array}\n",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{array}{|c|c||c|}a&b&S\\\\\\hline 0&0&1\\\\0&1&1\\\\1&0&1\\\\1&1&0\\\\\\end{array}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <menclose notation=\"left right\">\n <mtable columnalign=\"center center center\" rowspacing=\"4pt\" columnspacing=\"1em\" rowlines=\"solid none\" columnlines=\"solid solid\">\n <mtr>\n <mtd>\n <mi>a<\/mi>\n <\/mtd>\n <mtd>\n <mi>b<\/mi>\n <\/mtd>\n <mtd>\n <mi>S<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/menclose>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{array}{|c|c||c|}a&b&S\\\\\\hline 0&0&1\\\\0&1&1\\\\1&0&1\\\\1&1&0\\\\\\end{array}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{array}[]{|c|c||c|}a&b&S\\\\ \\hline 0&0&1\\\\ 0&1&1\\\\ 1&0&1\\\\ 1&1&0\\\\ \\end{array}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mtr id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd class=\"ltx_border_l ltx_border_r\" columnalign=\"center\" id=\"p1.1.m1.1.1b\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.1.1\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">a<\/mi>\n <\/mtd>\n <mtd class=\"ltx_border_rr\" columnalign=\"center\" id=\"p1.1.m1.1.1c\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.2.1\" xref=\"p1.1.m1.1.1.1.2.1.cmml\">b<\/mi>\n <\/mtd>\n <mtd class=\"ltx_border_r\" columnalign=\"center\" id=\"p1.1.m1.1.1d\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.3.1\" xref=\"p1.1.m1.1.1.1.3.1.cmml\">S<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1e\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd class=\"ltx_border_l ltx_border_r ltx_border_t\" columnalign=\"center\" id=\"p1.1.m1.1.1f\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.2.1.1\" xref=\"p1.1.m1.1.1.2.1.1.cmml\">0<\/mn>\n <\/mtd>\n <mtd class=\"ltx_border_rr ltx_border_t\" columnalign=\"center\" id=\"p1.1.m1.1.1g\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.2.2.1\" xref=\"p1.1.m1.1.1.2.2.1.cmml\">0<\/mn>\n <\/mtd>\n <mtd class=\"ltx_border_r ltx_border_t\" columnalign=\"center\" id=\"p1.1.m1.1.1h\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.2.3.1\" xref=\"p1.1.m1.1.1.2.3.1.cmml\">1<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1i\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd class=\"ltx_border_l ltx_border_r\" columnalign=\"center\" id=\"p1.1.m1.1.1j\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.3.1.1\" xref=\"p1.1.m1.1.1.3.1.1.cmml\">0<\/mn>\n <\/mtd>\n <mtd class=\"ltx_border_rr\" columnalign=\"center\" id=\"p1.1.m1.1.1k\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.3.2.1\" xref=\"p1.1.m1.1.1.3.2.1.cmml\">1<\/mn>\n <\/mtd>\n <mtd class=\"ltx_border_r\" columnalign=\"center\" id=\"p1.1.m1.1.1l\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.3.3.1\" xref=\"p1.1.m1.1.1.3.3.1.cmml\">1<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1m\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd class=\"ltx_border_l ltx_border_r\" columnalign=\"center\" id=\"p1.1.m1.1.1n\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.4.1.1\" xref=\"p1.1.m1.1.1.4.1.1.cmml\">1<\/mn>\n <\/mtd>\n <mtd class=\"ltx_border_rr\" columnalign=\"center\" id=\"p1.1.m1.1.1o\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.4.2.1\" xref=\"p1.1.m1.1.1.4.2.1.cmml\">0<\/mn>\n <\/mtd>\n <mtd class=\"ltx_border_r\" columnalign=\"center\" id=\"p1.1.m1.1.1p\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.4.3.1\" xref=\"p1.1.m1.1.1.4.3.1.cmml\">1<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1q\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd class=\"ltx_border_l ltx_border_r\" columnalign=\"center\" id=\"p1.1.m1.1.1r\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.5.1.1\" xref=\"p1.1.m1.1.1.5.1.1.cmml\">1<\/mn>\n <\/mtd>\n <mtd class=\"ltx_border_rr\" columnalign=\"center\" id=\"p1.1.m1.1.1s\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.5.2.1\" xref=\"p1.1.m1.1.1.5.2.1.cmml\">1<\/mn>\n <\/mtd>\n <mtd class=\"ltx_border_r\" columnalign=\"center\" id=\"p1.1.m1.1.1t\" xref=\"p1.1.m1.1.1.cmml\">\n <mn id=\"p1.1.m1.1.1.5.3.1\" xref=\"p1.1.m1.1.1.5.3.1.cmml\">0<\/mn>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <matrixrow id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1.1.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1\">\ud835\udc4f<\/ci>\n <ci id=\"p1.1.m1.1.1.1.3.1.cmml\" xref=\"p1.1.m1.1.1.1.3.1\">\ud835\udc46<\/ci>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.1.1\">0<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1\">0<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.3.1.cmml\" xref=\"p1.1.m1.1.1.2.3.1\">1<\/cn>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1c.cmml\" xref=\"p1.1.m1.1.1\">\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.1.1.cmml\" xref=\"p1.1.m1.1.1.3.1.1\">0<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.2.1.cmml\" xref=\"p1.1.m1.1.1.3.2.1\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.3.3.1.cmml\" xref=\"p1.1.m1.1.1.3.3.1\">1<\/cn>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1d.cmml\" xref=\"p1.1.m1.1.1\">\n <cn type=\"integer\" id=\"p1.1.m1.1.1.4.1.1.cmml\" xref=\"p1.1.m1.1.1.4.1.1\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.4.2.1.cmml\" xref=\"p1.1.m1.1.1.4.2.1\">0<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.4.3.1.cmml\" xref=\"p1.1.m1.1.1.4.3.1\">1<\/cn>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1e.cmml\" xref=\"p1.1.m1.1.1\">\n <cn type=\"integer\" id=\"p1.1.m1.1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.1.5.1.1\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.5.2.1.cmml\" xref=\"p1.1.m1.1.1.5.2.1\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.5.3.1.cmml\" xref=\"p1.1.m1.1.1.5.3.1\">0<\/cn>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{array}[]{|c|c||c|}a&b&S\\\\\n\\hline 0&0&1\\\\\n0&1&1\\\\\n1&0&1\\\\\n1&1&0\\\\\n\\end{array}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "( \\frac{1}{2} )",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle ({\\frac {1}{2}})}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <mn>2<\/mn>\n <\/mfrac>\n <\/mrow>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle ({\\frac {1}{2}})}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle(\\frac{1}{2})}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.2.cmml\">(<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mfrac id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mn id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">1<\/mn>\n <mn id=\"p1.1.m1.1.2.3\" xref=\"p1.1.m1.1.2.3.cmml\">2<\/mn>\n <\/mfrac>\n <\/mstyle>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.2.cmml\">)<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.4\">\n <divide id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.3.cmml\" xref=\"p1.1.m1.1.2.3\">2<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle(\\frac{1}{2})}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left ( \\frac{1}{2} \\right )",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left({\\frac {1}{2}}\\right)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <mn>2<\/mn>\n <\/mfrac>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left({\\frac {1}{2}}\\right)}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left(\\frac{1}{2}\\right)}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.2.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.2.cmml\">(<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mfrac id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mn id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">1<\/mn>\n <mn id=\"p1.1.m1.1.2.3\" xref=\"p1.1.m1.1.2.3.cmml\">2<\/mn>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.2.cmml\">)<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.4\">\n <divide id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.3.cmml\" xref=\"p1.1.m1.1.2.3\">2<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\left(\\frac{1}{2}\\right)}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left ( \\frac{a}{b} \\right )",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left({\\frac {a}{b}}\\right)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left({\\frac {a}{b}}\\right)}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left(\\frac{a}{b}\\right)}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.2.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.2.cmml\">(<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mfrac id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.2.3\" xref=\"p1.1.m1.1.2.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.2.cmml\">)<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.4\">\n <divide id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <ci id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.2.3.cmml\" xref=\"p1.1.m1.1.2.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\left(\\frac{a}{b}\\right)}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left [ \\frac{a}{b} \\right ] \\quad \\left \\lbrack \\frac{a}{b} \\right \\rbrack",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left[{\\frac {a}{b}}\\right]\\quad \\left\\lbrack {\\frac {a}{b}}\\right\\rbrack }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>[<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>]<\/mo>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow>\n <mo>[<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>]<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left[{\\frac {a}{b}}\\right]\\quad \\left\\lbrack {\\frac {a}{b}}\\right\\rbrack }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left[\\frac{a}{b}\\right]\\quad\\left[\\frac{a}{b}% \\right]}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.2.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.9.2.1.1.cmml\">[<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mfrac id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.2.3\" xref=\"p1.1.m1.1.2.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.9.2.1.1.cmml\">]<\/mo>\n <\/mrow>\n <mo mathvariant=\"italic\" separator=\"true\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.9.1.cmml\">\u2003<\/mo>\n <mrow id=\"p1.1.m1.1.9.3\" xref=\"p1.1.m1.1.9.3.1.cmml\">\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.9.3.1.1.cmml\">[<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mfrac id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6.cmml\">\n <mi id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.6.3\" xref=\"p1.1.m1.1.6.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.9.3.1.1.cmml\">]<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <apply id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.9.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.2.1.1.cmml\" xref=\"p1.1.m1.1.1\">delimited-[]<\/csymbol>\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <divide id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.2.3.cmml\" xref=\"p1.1.m1.1.2.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.3.1.cmml\" xref=\"p1.1.m1.1.9.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.3.1.1.cmml\" xref=\"p1.1.m1.1.5\">delimited-[]<\/csymbol>\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <divide id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <ci id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.6.3.cmml\" xref=\"p1.1.m1.1.6.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\left[\\frac{a}{b}\\right]\\quad\\left[\\frac{a}{b}%\n\\right]}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left \\{ \\frac{a}{b} \\right \\} \\quad \\left \\lbrace \\frac{a}{b} \\right \\rbrace",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left\\{{\\frac {a}{b}}\\right\\}\\quad \\left\\lbrace {\\frac {a}{b}}\\right\\rbrace }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>{<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>}<\/mo>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow>\n <mo>{<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>}<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left\\{{\\frac {a}{b}}\\right\\}\\quad \\left\\lbrace {\\frac {a}{b}}\\right\\rbrace }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left\\{\\frac{a}{b}\\right\\}\\quad\\left\\{\\frac{a}{b}% \\right\\}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.2.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.9.2.1.cmml\">{<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mfrac id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.2.3\" xref=\"p1.1.m1.1.2.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.9.2.1.cmml\">}<\/mo>\n <\/mrow>\n <mo mathvariant=\"italic\" separator=\"true\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.9.1.cmml\">\u2003<\/mo>\n <mrow id=\"p1.1.m1.1.9.3\" xref=\"p1.1.m1.1.9.3.1.cmml\">\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.9.3.1.cmml\">{<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mfrac id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6.cmml\">\n <mi id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.6.3\" xref=\"p1.1.m1.1.6.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.9.3.1.cmml\">}<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <set id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.9.2\">\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <divide id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.2.3.cmml\" xref=\"p1.1.m1.1.2.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/set>\n <set id=\"p1.1.m1.1.9.3.1.cmml\" xref=\"p1.1.m1.1.9.3\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <divide id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <ci id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.6.3.cmml\" xref=\"p1.1.m1.1.6.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/set>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\left\\{\\frac{a}{b}\\right\\}\\quad\\left\\{\\frac{a}{b}%\n\\right\\}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left \\langle \\frac{a}{b} \\right \\rangle",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left\\langle {\\frac {a}{b}}\\right\\rangle }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>⟨<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>⟩<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left\\langle {\\frac {a}{b}}\\right\\rangle }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left\\langle\\frac{a}{b}\\right\\rangle}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.4.1.1.cmml\">\u27e8<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mfrac id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.2.3\" xref=\"p1.1.m1.1.2.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.4.1.1.cmml\">\u27e9<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.1.1.cmml\" xref=\"p1.1.m1.1.1\">delimited-\u27e8\u27e9<\/csymbol>\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <divide id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.2.3.cmml\" xref=\"p1.1.m1.1.2.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\left\\langle\\frac{a}{b}\\right\\rangle}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left | \\frac{a}{b} \\right \\vert \\quad \\left \\Vert \\frac{c}{d} \\right \\|",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left|{\\frac {a}{b}}\\right\\vert \\quad \\left\\Vert {\\frac {c}{d}}\\right\\|}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>|<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>|<\/mo>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow>\n <mo symmetric=\"true\">‖<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>c<\/mi>\n <mi>d<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo symmetric=\"true\">‖<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left|{\\frac {a}{b}}\\right\\vert \\quad \\left\\Vert {\\frac {c}{d}}\\right\\|}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left|\\frac{a}{b}\\right|\\quad\\left\\|\\frac{c}{d}% \\right\\|}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.2.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.9.2.1.1.cmml\">|<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mfrac id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.2.3\" xref=\"p1.1.m1.1.2.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.9.2.1.1.cmml\">|<\/mo>\n <\/mrow>\n <mo mathvariant=\"italic\" separator=\"true\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.9.1.cmml\">\u2003<\/mo>\n <mrow id=\"p1.1.m1.1.9.3\" xref=\"p1.1.m1.1.9.3.1.cmml\">\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.9.3.1.1.cmml\">\u2225<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mfrac id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6.cmml\">\n <mi id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">c<\/mi>\n <mi id=\"p1.1.m1.1.6.3\" xref=\"p1.1.m1.1.6.3.cmml\">d<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.9.3.1.1.cmml\">\u2225<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <apply id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.9.2\">\n <abs id=\"p1.1.m1.1.9.2.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <divide id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.2.3.cmml\" xref=\"p1.1.m1.1.2.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.3.1.cmml\" xref=\"p1.1.m1.1.9.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.9.3.1.1.cmml\" xref=\"p1.1.m1.1.5\">norm<\/csymbol>\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <divide id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <ci id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.6.3.cmml\" xref=\"p1.1.m1.1.6.3\">\ud835\udc51<\/ci>\n <\/apply>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\left|\\frac{a}{b}\\right|\\quad\\left\\|\\frac{c}{d}%\n\\right\\|}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left \\lfloor \\frac{a}{b} \\right \\rfloor \\quad \\left \\lceil \\frac{c}{d} \\right \\rceil",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left\\lfloor {\\frac {a}{b}}\\right\\rfloor \\quad \\left\\lceil {\\frac {c}{d}}\\right\\rceil }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>⌊<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>⌋<\/mo>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow>\n <mo>⌈<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>c<\/mi>\n <mi>d<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>⌉<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left\\lfloor {\\frac {a}{b}}\\right\\rfloor \\quad \\left\\lceil {\\frac {c}{d}}\\right\\rceil }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left\\lfloor\\frac{a}{b}\\right\\rfloor\\quad\\left% \\lceil\\frac{c}{d}\\right\\rceil}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.2.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.9.2.1.1.cmml\">\u230a<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mfrac id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.2.3\" xref=\"p1.1.m1.1.2.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.9.2.1.1.cmml\">\u230b<\/mo>\n <\/mrow>\n <mo mathvariant=\"italic\" separator=\"true\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.9.1.cmml\">\u2003<\/mo>\n <mrow id=\"p1.1.m1.1.9.3\" xref=\"p1.1.m1.1.9.3.1.cmml\">\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.9.3.1.1.cmml\">\u2308<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mfrac id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6.cmml\">\n <mi id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">c<\/mi>\n <mi id=\"p1.1.m1.1.6.3\" xref=\"p1.1.m1.1.6.3.cmml\">d<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.9.3.1.1.cmml\">\u2309<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9\">\n <apply id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.9.2\">\n <floor id=\"p1.1.m1.1.9.2.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <divide id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.2.3.cmml\" xref=\"p1.1.m1.1.2.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.3.1.cmml\" xref=\"p1.1.m1.1.9.3\">\n <ceiling id=\"p1.1.m1.1.9.3.1.1.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <divide id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <ci id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.6.3.cmml\" xref=\"p1.1.m1.1.6.3\">\ud835\udc51<\/ci>\n <\/apply>\n <\/apply>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\left\\lfloor\\frac{a}{b}\\right\\rfloor\\quad\\left%\n\\lceil\\frac{c}{d}\\right\\rceil}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left \/ \\frac{a}{b} \\right \\backslash",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left\/{\\frac {a}{b}}\\right\\backslash }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\">\/<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\">\\<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left\/{\\frac {a}{b}}\\right\\backslash }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left\/\\frac{a}{b}\\right\\backslash}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\/<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mfrac id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.2.3\" xref=\"p1.1.m1.1.2.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo stretchy=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\\<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\/<\/ci>\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <divide id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.2.3.cmml\" xref=\"p1.1.m1.1.2.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\\<\/ci>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\left\/\\frac{a}{b}\\right\\backslash}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left \\uparrow \\frac{a}{b} \\right \\downarrow \\quad \\left \\Uparrow \\frac{a}{b} \\right \\Downarrow \\quad \\left \\updownarrow \\frac{a}{b} \\right \\Updownarrow",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left\\uparrow {\\frac {a}{b}}\\right\\downarrow \\quad \\left\\Uparrow {\\frac {a}{b}}\\right\\Downarrow \\quad \\left\\updownarrow {\\frac {a}{b}}\\right\\Updownarrow }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo fence=\"true\" symmetric=\"true\">↑<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo fence=\"true\" symmetric=\"true\">↓<\/mo>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow>\n <mo fence=\"true\" symmetric=\"true\">⇑<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo fence=\"true\" symmetric=\"true\">⇓<\/mo>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow>\n <mo fence=\"true\" symmetric=\"true\">↕<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo fence=\"true\" symmetric=\"true\">⇕<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left\\uparrow {\\frac {a}{b}}\\right\\downarrow \\quad \\left\\Uparrow {\\frac {a}{b}}\\right\\Downarrow \\quad \\left\\updownarrow {\\frac {a}{b}}\\right\\Updownarrow }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left\\uparrow\\frac{a}{b}\\right\\downarrow\\quad\\left% \\Uparrow\\frac{a}{b}\\right\\Downarrow\\quad\\left\\updownarrow\\frac{a}{b}\\right% \\Updownarrow}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mo fence=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2191<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mfrac id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.2.3\" xref=\"p1.1.m1.1.2.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo fence=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2193<\/mo>\n <\/mrow>\n <mo mathvariant=\"italic\" separator=\"true\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\u2003<\/mo>\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mo fence=\"true\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u21d1<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mfrac id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6.cmml\">\n <mi id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.6.3\" xref=\"p1.1.m1.1.6.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo fence=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u21d3<\/mo>\n <\/mrow>\n <mo mathvariant=\"italic\" separator=\"true\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\u2003<\/mo>\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mo fence=\"true\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u2195<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mfrac id=\"p1.1.m1.1.10a\" xref=\"p1.1.m1.1.10.cmml\">\n <mi id=\"p1.1.m1.1.10.2\" xref=\"p1.1.m1.1.10.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.10.3\" xref=\"p1.1.m1.1.10.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo fence=\"true\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\u21d5<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <cerror id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.4a.cmml\" xref=\"p1.1.m1.1.4\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2191<\/ci>\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <divide id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.2.3.cmml\" xref=\"p1.1.m1.1.2.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2193<\/ci>\n <\/cerror>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">italic-\u2003<\/ci>\n <cerror id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8a.cmml\" xref=\"p1.1.m1.1.8\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u21d1<\/ci>\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <divide id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <ci id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.6.3.cmml\" xref=\"p1.1.m1.1.6.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u21d3<\/ci>\n <\/cerror>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">italic-\u2003<\/ci>\n <cerror id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.12a.cmml\" xref=\"p1.1.m1.1.12\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u2195<\/ci>\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <divide id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10\"\/>\n <ci id=\"p1.1.m1.1.10.2.cmml\" xref=\"p1.1.m1.1.10.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.10.3.cmml\" xref=\"p1.1.m1.1.10.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\u21d5<\/ci>\n <\/cerror>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\left\\uparrow\\frac{a}{b}\\right\\downarrow\\quad\\left%\n\\Uparrow\\frac{a}{b}\\right\\Downarrow\\quad\\left\\updownarrow\\frac{a}{b}\\right%\n\\Updownarrow}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left [ 0,1 \\right )",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left[0,1\\right)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>[<\/mo>\n <mrow>\n <mn>0<\/mn>\n <mo>,<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left[0,1\\right)}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left[0,1\\right)}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.6.1.cmml\">[<\/mo>\n <mn id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">0<\/mn>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.6.1.cmml\">,<\/mo>\n <mn id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">1<\/mn>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.6.1.cmml\">)<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <interval closure=\"closed-open\" id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6\">\n <cn type=\"integer\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">0<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">1<\/cn>\n <\/interval>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\left[0,1\\right)}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left \\langle \\psi \\right |",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left\\langle \\psi \\right|}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>⟨<\/mo>\n <mi>ψ<!-- \u03c8 --><\/mi>\n <mo>|<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left\\langle \\psi \\right|}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left\\langle\\psi\\right|}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.1.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.4.1.1.cmml\">\u27e8<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u03c8<\/mi>\n <mo fence=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.4.1.1.cmml\">|<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.1.1.cmml\" xref=\"p1.1.m1.1.1\">bra<\/csymbol>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udf13<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\left\\langle\\psi\\right|}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left . \\frac{A}{B} \\right \\} \\to X",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left.{\\frac {A}{B}}\\right\\}\\to X}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\"><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>A<\/mi>\n <mi>B<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>}<\/mo>\n <\/mrow>\n <mo stretchy=\"false\">→<!-- \u2192 --><\/mo>\n <mi>X<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left.{\\frac {A}{B}}\\right\\}\\to X}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left.\\frac{A}{B}\\right\\}\\to X}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mfrac id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">A<\/mi>\n <mi id=\"p1.1.m1.1.2.3\" xref=\"p1.1.m1.1.2.3.cmml\">B<\/mi>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">}<\/mo>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u2192<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">X<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <divide id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">\ud835\udc34<\/ci>\n <ci id=\"p1.1.m1.1.2.3.cmml\" xref=\"p1.1.m1.1.2.3\">\ud835\udc35<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">}<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u2192<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">X<\/csymbol>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\left.\\frac{A}{B}\\right\\}\\to X}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\big( \\Big( \\bigg( \\Bigg( \\dots \\Bigg] \\bigg] \\Big] \\big]",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big (}{\\Big (}{\\bigg (}{\\Bigg (}\\dots {\\Bigg ]}{\\bigg ]}{\\Big ]}{\\big ]}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">(<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">(<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">(<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">(<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>…<!-- \u2026 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">]<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">]<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">]<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">]<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big (}{\\Big (}{\\bigg (}{\\Bigg (}\\dots {\\Bigg ]}{\\bigg ]}{\\Big ]}{\\big ]}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\big{(}\\Big{(}\\bigg{(}\\Bigg{(}\\dots\\Bigg{]}\\bigg{]% }\\Big{]}\\big{]}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo maxsize=\"120%\" minsize=\"120%\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mo maxsize=\"160%\" minsize=\"160%\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mo maxsize=\"210%\" minsize=\"210%\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mo maxsize=\"260%\" minsize=\"260%\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">(<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2026<\/mi>\n <mo maxsize=\"260%\" minsize=\"260%\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">]<\/mo>\n <\/mrow>\n <mo maxsize=\"210%\" minsize=\"210%\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">]<\/mo>\n <\/mrow>\n <mo maxsize=\"160%\" minsize=\"160%\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">]<\/mo>\n <\/mrow>\n <mo maxsize=\"120%\" minsize=\"120%\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">]<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">(<\/ci>\n <cerror id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.12a.cmml\" xref=\"p1.1.m1.1.12\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">(<\/ci>\n <cerror id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">(<\/ci>\n <cerror id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.10a.cmml\" xref=\"p1.1.m1.1.10\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">(<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2026<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">]<\/ci>\n <\/cerror>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">]<\/ci>\n <\/cerror>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">]<\/ci>\n <\/cerror>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">]<\/ci>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\big{(}\\Big{(}\\bigg{(}\\Bigg{(}\\dots\\Bigg{]}\\bigg{]%\n}\\Big{]}\\big{]}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\big\\{ \\Big\\{ \\bigg\\{ \\Bigg\\{ \\dots \\Bigg\\rangle \\bigg\\rangle \\Big\\rangle \\big\\rangle",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big \\{}{\\Big \\{}{\\bigg \\{}{\\Bigg \\{}\\dots {\\Bigg \\rangle }{\\bigg \\rangle }{\\Big \\rangle }{\\big \\rangle }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">{<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">{<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">{<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">{<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>…<!-- \u2026 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">⟩<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">⟩<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">⟩<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">⟩<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big \\{}{\\Big \\{}{\\bigg \\{}{\\Bigg \\{}\\dots {\\Bigg \\rangle }{\\bigg \\rangle }{\\Big \\rangle }{\\big \\rangle }}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\big{\\{}\\Big{\\{}\\bigg{\\{}\\Bigg{\\{}\\dots\\Bigg{% \\rangle}\\bigg{\\rangle}\\Big{\\rangle}\\big{\\rangle}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo maxsize=\"120%\" minsize=\"120%\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">{<\/mo>\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mo maxsize=\"160%\" minsize=\"160%\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">{<\/mo>\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mo maxsize=\"210%\" minsize=\"210%\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">{<\/mo>\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mo maxsize=\"260%\" minsize=\"260%\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">{<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2026<\/mi>\n <mo maxsize=\"260%\" minsize=\"260%\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u27e9<\/mo>\n <\/mrow>\n <mo maxsize=\"210%\" minsize=\"210%\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u27e9<\/mo>\n <\/mrow>\n <mo maxsize=\"160%\" minsize=\"160%\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u27e9<\/mo>\n <\/mrow>\n <mo maxsize=\"120%\" minsize=\"120%\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u27e9<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">{<\/ci>\n <cerror id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.12a.cmml\" xref=\"p1.1.m1.1.12\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">{<\/ci>\n <cerror id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">{<\/ci>\n <cerror id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.10a.cmml\" xref=\"p1.1.m1.1.10\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">{<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2026<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u27e9<\/ci>\n <\/cerror>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u27e9<\/ci>\n <\/cerror>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u27e9<\/ci>\n <\/cerror>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u27e9<\/ci>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\big{\\{}\\Big{\\{}\\bigg{\\{}\\Bigg{\\{}\\dots\\Bigg{%\n\\rangle}\\bigg{\\rangle}\\Big{\\rangle}\\big{\\rangle}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\big\\| \\Big\\| \\bigg\\| \\Bigg\\| \\dots \\Bigg| \\bigg| \\Big| \\big|",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big \\|}{\\Big \\|}{\\bigg \\|}{\\Bigg \\|}\\dots {\\Bigg |}{\\bigg |}{\\Big |}{\\big |}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">‖<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">‖<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">‖<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">‖<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>…<!-- \u2026 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">|<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">|<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">|<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">|<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big \\|}{\\Big \\|}{\\bigg \\|}{\\Bigg \\|}\\dots {\\Bigg |}{\\bigg |}{\\Big |}{\\big |}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\big{\\|}\\Big{\\|}\\bigg{\\|}\\Bigg{\\|}\\dots\\Bigg{|}% \\bigg{|}\\Big{|}\\big{|}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo maxsize=\"120%\" minsize=\"120%\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2225<\/mo>\n <mo maxsize=\"160%\" minsize=\"160%\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2225<\/mo>\n <mo maxsize=\"210%\" minsize=\"210%\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2225<\/mo>\n <mo maxsize=\"260%\" minsize=\"260%\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u2225<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2026<\/mi>\n <mo maxsize=\"260%\" minsize=\"260%\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">|<\/mo>\n <mo maxsize=\"210%\" minsize=\"210%\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">|<\/mo>\n <mo maxsize=\"160%\" minsize=\"160%\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">|<\/mo>\n <mo maxsize=\"120%\" minsize=\"120%\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">|<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">parallel-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">parallel-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">parallel-to<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">parallel-to<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2026<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">|<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">|<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">|<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">|<\/ci>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\big{\\|}\\Big{\\|}\\bigg{\\|}\\Bigg{\\|}\\dots\\Bigg{|}%\n\\bigg{|}\\Big{|}\\big{|}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\big\\lfloor \\Big\\lfloor \\bigg\\lfloor \\Bigg\\lfloor \\dots \\Bigg\\rceil \\bigg\\rceil \\Big\\rceil \\big\\rceil",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big \\lfloor }{\\Big \\lfloor }{\\bigg \\lfloor }{\\Bigg \\lfloor }\\dots {\\Bigg \\rceil }{\\bigg \\rceil }{\\Big \\rceil }{\\big \\rceil }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">⌊<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">⌊<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">⌊<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">⌊<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>…<!-- \u2026 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">⌉<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">⌉<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">⌉<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">⌉<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big \\lfloor }{\\Big \\lfloor }{\\bigg \\lfloor }{\\Bigg \\lfloor }\\dots {\\Bigg \\rceil }{\\bigg \\rceil }{\\Big \\rceil }{\\big \\rceil }}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\big{\\lfloor}\\Big{\\lfloor}\\bigg{\\lfloor}\\Bigg{% \\lfloor}\\dots\\Bigg{\\rceil}\\bigg{\\rceil}\\Big{\\rceil}\\big{\\rceil}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo maxsize=\"120%\" minsize=\"120%\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u230a<\/mo>\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mo maxsize=\"160%\" minsize=\"160%\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u230a<\/mo>\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mo maxsize=\"210%\" minsize=\"210%\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u230a<\/mo>\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mo maxsize=\"260%\" minsize=\"260%\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u230a<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2026<\/mi>\n <mo maxsize=\"260%\" minsize=\"260%\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u2309<\/mo>\n <\/mrow>\n <mo maxsize=\"210%\" minsize=\"210%\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2309<\/mo>\n <\/mrow>\n <mo maxsize=\"160%\" minsize=\"160%\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u2309<\/mo>\n <\/mrow>\n <mo maxsize=\"120%\" minsize=\"120%\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u2309<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u230a<\/ci>\n <cerror id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.12a.cmml\" xref=\"p1.1.m1.1.12\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u230a<\/ci>\n <cerror id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u230a<\/ci>\n <cerror id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.10a.cmml\" xref=\"p1.1.m1.1.10\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u230a<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2026<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u2309<\/ci>\n <\/cerror>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u2309<\/ci>\n <\/cerror>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u2309<\/ci>\n <\/cerror>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u2309<\/ci>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\big{\\lfloor}\\Big{\\lfloor}\\bigg{\\lfloor}\\Bigg{%\n\\lfloor}\\dots\\Bigg{\\rceil}\\bigg{\\rceil}\\Big{\\rceil}\\big{\\rceil}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\big\\uparrow \\Big\\uparrow \\bigg\\uparrow \\Bigg\\uparrow \\dots \\Bigg\\Downarrow \\bigg\\Downarrow \\Big\\Downarrow \\big\\Downarrow",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big \\uparrow }{\\Big \\uparrow }{\\bigg \\uparrow }{\\Bigg \\uparrow }\\dots {\\Bigg \\Downarrow }{\\bigg \\Downarrow }{\\Big \\Downarrow }{\\big \\Downarrow }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">↑<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">↑<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">↑<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">↑<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>⋯<!-- \u22ef --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">⇓<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">⇓<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">⇓<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">⇓<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big \\uparrow }{\\Big \\uparrow }{\\bigg \\uparrow }{\\Bigg \\uparrow }\\dots {\\Bigg \\Downarrow }{\\bigg \\Downarrow }{\\Big \\Downarrow }{\\big \\Downarrow }}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\big{\\uparrow}\\Big{\\uparrow}\\bigg{\\uparrow}\\Bigg{% \\uparrow}\\dots\\Bigg{\\Downarrow}\\bigg{\\Downarrow}\\Big{\\Downarrow}\\big{% \\Downarrow}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo mathsize=\"120%\" stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2191<\/mo>\n <mo mathsize=\"160%\" stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2191<\/mo>\n <mo mathsize=\"210%\" stretchy=\"false\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2191<\/mo>\n <mo mathsize=\"260%\" stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u2191<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2026<\/mi>\n <mo mathsize=\"260%\" stretchy=\"false\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u21d3<\/mo>\n <mo mathsize=\"210%\" stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u21d3<\/mo>\n <mo mathsize=\"160%\" stretchy=\"false\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u21d3<\/mo>\n <mo mathsize=\"120%\" stretchy=\"false\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u21d3<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2191<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u2191<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2191<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u2191<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2026<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u21d3<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u21d3<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u21d3<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u21d3<\/ci>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\big{\\uparrow}\\Big{\\uparrow}\\bigg{\\uparrow}\\Bigg{%\n\\uparrow}\\dots\\Bigg{\\Downarrow}\\bigg{\\Downarrow}\\Big{\\Downarrow}\\big{%\n\\Downarrow}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\big\\updownarrow \\Big\\updownarrow \\bigg\\updownarrow \\Bigg\\updownarrow \\dots \\Bigg\\Updownarrow \\bigg\\Updownarrow \\Big\\Updownarrow \\big\\Updownarrow",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big \\updownarrow }{\\Big \\updownarrow }{\\bigg \\updownarrow }{\\Bigg \\updownarrow }\\dots {\\Bigg \\Updownarrow }{\\bigg \\Updownarrow }{\\Big \\Updownarrow }{\\big \\Updownarrow }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">↕<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">↕<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">↕<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">↕<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>⋯<!-- \u22ef --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">⇕<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">⇕<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">⇕<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">⇕<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big \\updownarrow }{\\Big \\updownarrow }{\\bigg \\updownarrow }{\\Bigg \\updownarrow }\\dots {\\Bigg \\Updownarrow }{\\bigg \\Updownarrow }{\\Big \\Updownarrow }{\\big \\Updownarrow }}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\big{\\updownarrow}\\Big{\\updownarrow}\\bigg{% \\updownarrow}\\Bigg{\\updownarrow}\\dots\\Bigg{\\Updownarrow}\\bigg{\\Updownarrow}% \\Big{\\Updownarrow}\\big{\\Updownarrow}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo mathsize=\"120%\" stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2195<\/mo>\n <mo mathsize=\"160%\" stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2195<\/mo>\n <mo mathsize=\"210%\" stretchy=\"false\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2195<\/mo>\n <mo mathsize=\"260%\" stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u2195<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2026<\/mi>\n <mo mathsize=\"260%\" stretchy=\"false\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u21d5<\/mo>\n <mo mathsize=\"210%\" stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u21d5<\/mo>\n <mo mathsize=\"160%\" stretchy=\"false\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u21d5<\/mo>\n <mo mathsize=\"120%\" stretchy=\"false\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\u21d5<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2195<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u2195<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2195<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u2195<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2026<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u21d5<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u21d5<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u21d5<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u21d5<\/ci>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\big{\\updownarrow}\\Big{\\updownarrow}\\bigg{%\n\\updownarrow}\\Bigg{\\updownarrow}\\dots\\Bigg{\\Updownarrow}\\bigg{\\Updownarrow}%\n\\Big{\\Updownarrow}\\big{\\Updownarrow}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\big \/ \\Big \/ \\bigg \/ \\Bigg \/ \\dots \\Bigg\\backslash \\bigg\\backslash \\Big\\backslash \\big\\backslash",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big \/}{\\Big \/}{\\bigg \/}{\\Bigg \/}\\dots {\\Bigg \\backslash }{\\bigg \\backslash }{\\Big \\backslash }{\\big \\backslash }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">\/<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">\/<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">\/<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">\/<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>…<!-- \u2026 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">\\<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">\\<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">\\<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">\\<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big \/}{\\Big \/}{\\bigg \/}{\\Bigg \/}\\dots {\\Bigg \\backslash }{\\bigg \\backslash }{\\Big \\backslash }{\\big \\backslash }}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\big{\/}\\Big{\/}\\bigg{\/}\\Bigg{\/}\\dots\\Bigg{% \\backslash}\\bigg{\\backslash}\\Big{\\backslash}\\big{\\backslash}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo mathsize=\"120%\" stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\/<\/mo>\n <mo mathsize=\"160%\" stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\/<\/mo>\n <mo mathsize=\"210%\" stretchy=\"false\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\/<\/mo>\n <mo mathsize=\"260%\" stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\/<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2026<\/mi>\n <mo mathsize=\"260%\" stretchy=\"false\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\\<\/mo>\n <mo mathsize=\"210%\" stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\\<\/mo>\n <mo mathsize=\"160%\" stretchy=\"false\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\\<\/mo>\n <mo mathsize=\"120%\" stretchy=\"false\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\\<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <divide id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <divide id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <divide id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <divide id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2026<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\\<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\\<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\\<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\\<\/ci>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\big{\/}\\Big{\/}\\bigg{\/}\\Bigg{\/}\\dots\\Bigg{%\n\\backslash}\\bigg{\\backslash}\\Big{\\backslash}\\big{\\backslash}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "x^2 + y^2 + z^2 = 1 \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x^{2}+y^{2}+z^{2}=1\\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <msup>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <msup>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x^{2}+y^{2}+z^{2}=1\\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle x^{2}+y^{2}+z^{2}=1\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mrow id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\n <msup id=\"p1.1.m1.1.12.1.1\" xref=\"p1.1.m1.1.12.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">2<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <msup id=\"p1.1.m1.1.12.1.2\" xref=\"p1.1.m1.1.12.1.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">y<\/mi>\n <mn id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">2<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <msup id=\"p1.1.m1.1.12.1.3\" xref=\"p1.1.m1.1.12.1.3.cmml\">\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">z<\/mi>\n <mn id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">=<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mn id=\"p1.1.m1.1.10a\" xref=\"p1.1.m1.1.10.cmml\">1<\/mn>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <eq id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\"\/>\n <apply id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\">\n <plus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.12.1.1.cmml\" xref=\"p1.1.m1.1.12.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.12.1.1.1.cmml\" xref=\"p1.1.m1.1.12.1.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.12.1.2.cmml\" xref=\"p1.1.m1.1.12.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.12.1.2.1.cmml\" xref=\"p1.1.m1.1.12.1.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc66<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.12.1.3.cmml\" xref=\"p1.1.m1.1.12.1.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.12.1.3.1.cmml\" xref=\"p1.1.m1.1.12.1.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc67<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">1<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle x^{2}+y^{2}+z^{2}=1\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Alpha \\Beta \\Gamma \\Delta \\Epsilon \\Zeta \\Eta \\Theta \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">A<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">B<\/mi>\n <\/mrow>\n <mi mathvariant=\"normal\">Γ<!-- \u0393 --><\/mi>\n <mi mathvariant=\"normal\">Δ<!-- \u0394 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">E<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">Z<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">H<\/mi>\n <\/mrow>\n <mi mathvariant=\"normal\">Θ<!-- \u0398 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Alpha<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\Beta<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u0393<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u0394<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5b.cmml\">\n <mtext id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5b.cmml\">\\Epsilon<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6b.cmml\">\n <mtext id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6b.cmml\">\\Zeta<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7b.cmml\">\n <mtext id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7b.cmml\">\\Eta<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\u0398<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Alpha<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\Beta<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u0393<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u0394<\/ci>\n <ci id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\\Epsilon<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.6b.cmml\" xref=\"p1.1.m1.1.6\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <mtext id=\"p1.1.m1.1.6a.cmml\" xref=\"p1.1.m1.1.6\">\\Zeta<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.7b.cmml\" xref=\"p1.1.m1.1.7\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <mtext id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\">\\Eta<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u0398<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Pi \\Rho \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">I<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">K<\/mi>\n <\/mrow>\n <mi mathvariant=\"normal\">Λ<!-- \u039b --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">M<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">N<\/mi>\n <\/mrow>\n <mi mathvariant=\"normal\">Ξ<!-- \u039e --><\/mi>\n <mi mathvariant=\"normal\">Π<!-- \u03a0 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">P<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Iota<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\Kappa<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u039b<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4b.cmml\">\n <mtext id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4b.cmml\">\\Mu<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5b.cmml\">\n <mtext id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5b.cmml\">\\Nu<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u039e<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u03a0<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8b.cmml\">\n <mtext id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8b.cmml\">\\Rho<\/mtext>\n <\/merror>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Iota<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\Kappa<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u039b<\/ci>\n <ci id=\"p1.1.m1.1.4b.cmml\" xref=\"p1.1.m1.1.4\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <mtext id=\"p1.1.m1.1.4a.cmml\" xref=\"p1.1.m1.1.4\">\\Mu<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\\Nu<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u039e<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u03a0<\/ci>\n <ci id=\"p1.1.m1.1.8b.cmml\" xref=\"p1.1.m1.1.8\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <mtext id=\"p1.1.m1.1.8a.cmml\" xref=\"p1.1.m1.1.8\">\\Rho<\/mtext>\n <\/merror>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Sigma \\Tau \\Upsilon \\Phi \\Chi \\Psi \\Omega \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">Σ<!-- \u03a3 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">T<\/mi>\n <\/mrow>\n <mi mathvariant=\"normal\">Υ<!-- \u03a5 --><\/mi>\n <mi mathvariant=\"normal\">Φ<!-- \u03a6 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">X<\/mi>\n <\/mrow>\n <mi mathvariant=\"normal\">Ψ<!-- \u03a8 --><\/mi>\n <mi mathvariant=\"normal\">Ω<!-- \u03a9 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03a3<\/mi>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\Tau<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u03a5<\/mi>\n <mo id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03a6<\/mi>\n <mo id=\"p1.1.m1.1.9.1c\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5b.cmml\">\n <mtext id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5b.cmml\">\\Chi<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1d\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u03a8<\/mi>\n <mo id=\"p1.1.m1.1.9.1e\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\u03a9<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u03a3<\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\Tau<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u03a5<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u03a6<\/ci>\n <ci id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\\Chi<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u03a8<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u03a9<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>α<!-- \u03b1 --><\/mi>\n <mi>β<!-- \u03b2 --><\/mi>\n <mi>γ<!-- \u03b3 --><\/mi>\n <mi>δ<!-- \u03b4 --><\/mi>\n <mi>ϵ<!-- \u03f5 --><\/mi>\n <mi>ζ<!-- \u03b6 --><\/mi>\n <mi>η<!-- \u03b7 --><\/mi>\n <mi>θ<!-- \u03b8 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\alpha\\beta\\gamma\\delta\\epsilon\\zeta\\eta\\theta\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03b1<\/mi>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u03b2<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u03b3<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03b4<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u03f5<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u03b6<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u03b7<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\u03b8<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udefc<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udefd<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udefe<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udeff<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">italic-\u03f5<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udf01<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udf02<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udf03<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\alpha\\beta\\gamma\\delta\\epsilon\\zeta\\eta\\theta\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>ι<!-- \u03b9 --><\/mi>\n <mi>κ<!-- \u03ba --><\/mi>\n <mi>λ<!-- \u03bb --><\/mi>\n <mi>μ<!-- \u03bc --><\/mi>\n <mi>ν<!-- \u03bd --><\/mi>\n <mi>ξ<!-- \u03be --><\/mi>\n <mi>π<!-- \u03c0 --><\/mi>\n <mi>ρ<!-- \u03c1 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\iota\\kappa\\lambda\\mu\\nu\\xi\\pi\\rho\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03b9<\/mi>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u03ba<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u03bb<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03bc<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u03bd<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u03be<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u03c0<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\u03c1<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udf04<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udf05<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udf06<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udf07<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udf08<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udf09<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udf0b<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udf0c<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\iota\\kappa\\lambda\\mu\\nu\\xi\\pi\\rho\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>σ<!-- \u03c3 --><\/mi>\n <mi>τ<!-- \u03c4 --><\/mi>\n <mi>υ<!-- \u03c5 --><\/mi>\n <mi>ϕ<!-- \u03d5 --><\/mi>\n <mi>χ<!-- \u03c7 --><\/mi>\n <mi>ψ<!-- \u03c8 --><\/mi>\n <mi>ω<!-- \u03c9 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sigma\\tau\\upsilon\\phi\\chi\\psi\\omega\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03c3<\/mi>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u03c4<\/mi>\n <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u03c5<\/mi>\n <mo id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03d5<\/mi>\n <mo id=\"p1.1.m1.1.9.1c\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u03c7<\/mi>\n <mo id=\"p1.1.m1.1.9.1d\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u03c8<\/mi>\n <mo id=\"p1.1.m1.1.9.1e\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\u03c9<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udf0e<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udf0f<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udf10<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">italic-\u03d5<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udf12<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udf13<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udf14<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sigma\\tau\\upsilon\\phi\\chi\\psi\\omega\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\varepsilon \\digamma \\varkappa \\varpi \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\varepsilon \\digamma \\varkappa \\varpi \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>ε<!-- \u03b5 --><\/mi>\n <mi>ϝ<!-- \u03dd --><\/mi>\n <mi>ϰ<!-- \u03f0 --><\/mi>\n <mi>ϖ<!-- \u03d6 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\varepsilon \\digamma \\varkappa \\varpi \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\varepsilon\\digamma\\varkappa\\varpi\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03b5<\/mi>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u03dd<\/mi>\n <mo id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u03f0<\/mi>\n <mo id=\"p1.1.m1.1.6.1b\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\u03d6<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udf00<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">italic-\u03dd<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">italic-\u03f0<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">italic-\u03d6<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\varepsilon\\digamma\\varkappa\\varpi\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\varrho \\varsigma \\vartheta \\varphi \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\varrho \\varsigma \\vartheta \\varphi \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>ϱ<!-- \u03f1 --><\/mi>\n <mi>ς<!-- \u03c2 --><\/mi>\n <mi>ϑ<!-- \u03d1 --><\/mi>\n <mi>φ<!-- \u03c6 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\varrho \\varsigma \\vartheta \\varphi \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\varrho\\varsigma\\vartheta\\varphi\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03f1<\/mi>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u03c2<\/mi>\n <mo id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u03d1<\/mi>\n <mo id=\"p1.1.m1.1.6.1b\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\u03c6<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">italic-\u03f1<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udf0d<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">italic-\u03d1<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udf11<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\varrho\\varsigma\\vartheta\\varphi\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\aleph \\beth \\gimel \\daleth \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\aleph \\beth \\gimel \\daleth \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">ℵ<!-- \u2135 --><\/mi>\n <mi>ℶ<!-- \u2136 --><\/mi>\n <mi>ℷ<!-- \u2137 --><\/mi>\n <mi>ℸ<!-- \u2138 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\aleph \\beth \\gimel \\daleth \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\aleph\\beth\\gimel\\daleth\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2135<\/mi>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2136<\/mi>\n <mo id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2137<\/mi>\n <mo id=\"p1.1.m1.1.6.1b\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\u2138<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2135<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u2136<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2137<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u2138<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\aleph\\beth\\gimel\\daleth\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathbb{ABCDEFGHI} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbb {ABCDEFGHI} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"double-struck\">A<\/mi>\n <mi mathvariant=\"double-struck\">B<\/mi>\n <mi mathvariant=\"double-struck\">C<\/mi>\n <mi mathvariant=\"double-struck\">D<\/mi>\n <mi mathvariant=\"double-struck\">E<\/mi>\n <mi mathvariant=\"double-struck\">F<\/mi>\n <mi mathvariant=\"double-struck\">G<\/mi>\n <mi mathvariant=\"double-struck\">H<\/mi>\n <mi mathvariant=\"double-struck\">I<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbb {ABCDEFGHI} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbb{ABCDEFGHI}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udd38<\/mi>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udd39<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2102<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udd3b<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udd3c<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udd3d<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udd3e<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u210d<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">\ud835\udd40<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udd38<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udd39<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2102<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udd3b<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udd3c<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udd3d<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udd3e<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u210d<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udd40<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbb{ABCDEFGHI}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathbb{JKLMNOPQR} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbb {JKLMNOPQR} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"double-struck\">J<\/mi>\n <mi mathvariant=\"double-struck\">K<\/mi>\n <mi mathvariant=\"double-struck\">L<\/mi>\n <mi mathvariant=\"double-struck\">M<\/mi>\n <mi mathvariant=\"double-struck\">N<\/mi>\n <mi mathvariant=\"double-struck\">O<\/mi>\n <mi mathvariant=\"double-struck\">P<\/mi>\n <mi mathvariant=\"double-struck\">Q<\/mi>\n <mi mathvariant=\"double-struck\">R<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbb {JKLMNOPQR} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbb{JKLMNOPQR}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udd41<\/mi>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udd42<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udd43<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udd44<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2115<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udd46<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u2119<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u211a<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">\u211d<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udd41<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udd42<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udd43<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udd44<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2115<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udd46<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\u2119<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u211a<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u211d<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbb{JKLMNOPQR}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathbb{STUVWXYZ} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbb {STUVWXYZ} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"double-struck\">S<\/mi>\n <mi mathvariant=\"double-struck\">T<\/mi>\n <mi mathvariant=\"double-struck\">U<\/mi>\n <mi mathvariant=\"double-struck\">V<\/mi>\n <mi mathvariant=\"double-struck\">W<\/mi>\n <mi mathvariant=\"double-struck\">X<\/mi>\n <mi mathvariant=\"double-struck\">Y<\/mi>\n <mi mathvariant=\"double-struck\">Z<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbb {STUVWXYZ} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbb{STUVWXYZ}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udd4a<\/mi>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udd4b<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udd4c<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udd4d<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udd4e<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udd4f<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udd50<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\u2124<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udd4a<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udd4b<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udd4c<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udd4d<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udd4e<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udd4f<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udd50<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u2124<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbb{STUVWXYZ}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathbf{ABCDEFGHI} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbf {ABCDEFGHI} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">A<\/mi>\n <mi mathvariant=\"bold\">B<\/mi>\n <mi mathvariant=\"bold\">C<\/mi>\n <mi mathvariant=\"bold\">D<\/mi>\n <mi mathvariant=\"bold\">E<\/mi>\n <mi mathvariant=\"bold\">F<\/mi>\n <mi mathvariant=\"bold\">G<\/mi>\n <mi mathvariant=\"bold\">H<\/mi>\n <mi mathvariant=\"bold\">I<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbf {ABCDEFGHI} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbf{ABCDEFGHI}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">\ud835\udc00\ud835\udc01\ud835\udc02\ud835\udc03\ud835\udc04\ud835\udc05\ud835\udc06\ud835\udc07\ud835\udc08<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc00\ud835\udc01\ud835\udc02\ud835\udc03\ud835\udc04\ud835\udc05\ud835\udc06\ud835\udc07\ud835\udc08<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbf{ABCDEFGHI}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathbf{JKLMNOPQR} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbf {JKLMNOPQR} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">J<\/mi>\n <mi mathvariant=\"bold\">K<\/mi>\n <mi mathvariant=\"bold\">L<\/mi>\n <mi mathvariant=\"bold\">M<\/mi>\n <mi mathvariant=\"bold\">N<\/mi>\n <mi mathvariant=\"bold\">O<\/mi>\n <mi mathvariant=\"bold\">P<\/mi>\n <mi mathvariant=\"bold\">Q<\/mi>\n <mi mathvariant=\"bold\">R<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbf {JKLMNOPQR} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbf{JKLMNOPQR}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">\ud835\udc09\ud835\udc0a\ud835\udc0b\ud835\udc0c\ud835\udc0d\ud835\udc0e\ud835\udc0f\ud835\udc10\ud835\udc11<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc09\ud835\udc0a\ud835\udc0b\ud835\udc0c\ud835\udc0d\ud835\udc0e\ud835\udc0f\ud835\udc10\ud835\udc11<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbf{JKLMNOPQR}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathbf{STUVWXYZ} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbf {STUVWXYZ} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">S<\/mi>\n <mi mathvariant=\"bold\">T<\/mi>\n <mi mathvariant=\"bold\">U<\/mi>\n <mi mathvariant=\"bold\">V<\/mi>\n <mi mathvariant=\"bold\">W<\/mi>\n <mi mathvariant=\"bold\">X<\/mi>\n <mi mathvariant=\"bold\">Y<\/mi>\n <mi mathvariant=\"bold\">Z<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbf {STUVWXYZ} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbf{STUVWXYZ}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\ud835\udc12\ud835\udc13\ud835\udc14\ud835\udc15\ud835\udc16\ud835\udc17\ud835\udc18\ud835\udc19<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc12\ud835\udc13\ud835\udc14\ud835\udc15\ud835\udc16\ud835\udc17\ud835\udc18\ud835\udc19<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbf{STUVWXYZ}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathbf{abcdefghijklm} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbf {abcdefghijklm} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">a<\/mi>\n <mi mathvariant=\"bold\">b<\/mi>\n <mi mathvariant=\"bold\">c<\/mi>\n <mi mathvariant=\"bold\">d<\/mi>\n <mi mathvariant=\"bold\">e<\/mi>\n <mi mathvariant=\"bold\">f<\/mi>\n <mi mathvariant=\"bold\">g<\/mi>\n <mi mathvariant=\"bold\">h<\/mi>\n <mi mathvariant=\"bold\">i<\/mi>\n <mi mathvariant=\"bold\">j<\/mi>\n <mi mathvariant=\"bold\">k<\/mi>\n <mi mathvariant=\"bold\">l<\/mi>\n <mi mathvariant=\"bold\">m<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbf {abcdefghijklm} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbf{abcdefghijklm}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mi id=\"p1.1.m1.1.13a\" xref=\"p1.1.m1.1.13.cmml\">\ud835\udc1a\ud835\udc1b\ud835\udc1c\ud835\udc1d\ud835\udc1e\ud835\udc1f\ud835\udc20\ud835\udc21\ud835\udc22\ud835\udc23\ud835\udc24\ud835\udc25\ud835\udc26<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc1a\ud835\udc1b\ud835\udc1c\ud835\udc1d\ud835\udc1e\ud835\udc1f\ud835\udc20\ud835\udc21\ud835\udc22\ud835\udc23\ud835\udc24\ud835\udc25\ud835\udc26<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbf{abcdefghijklm}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathbf{nopqrstuvwxyz} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbf {nopqrstuvwxyz} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">n<\/mi>\n <mi mathvariant=\"bold\">o<\/mi>\n <mi mathvariant=\"bold\">p<\/mi>\n <mi mathvariant=\"bold\">q<\/mi>\n <mi mathvariant=\"bold\">r<\/mi>\n <mi mathvariant=\"bold\">s<\/mi>\n <mi mathvariant=\"bold\">t<\/mi>\n <mi mathvariant=\"bold\">u<\/mi>\n <mi mathvariant=\"bold\">v<\/mi>\n <mi mathvariant=\"bold\">w<\/mi>\n <mi mathvariant=\"bold\">x<\/mi>\n <mi mathvariant=\"bold\">y<\/mi>\n <mi mathvariant=\"bold\">z<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbf {nopqrstuvwxyz} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbf{nopqrstuvwxyz}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mi id=\"p1.1.m1.1.13a\" xref=\"p1.1.m1.1.13.cmml\">\ud835\udc27\ud835\udc28\ud835\udc29\ud835\udc2a\ud835\udc2b\ud835\udc2c\ud835\udc2d\ud835\udc2e\ud835\udc2f\ud835\udc30\ud835\udc31\ud835\udc32\ud835\udc33<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc27\ud835\udc28\ud835\udc29\ud835\udc2a\ud835\udc2b\ud835\udc2c\ud835\udc2d\ud835\udc2e\ud835\udc2f\ud835\udc30\ud835\udc31\ud835\udc32\ud835\udc33<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbf{nopqrstuvwxyz}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathbf{0123456789} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbf {0123456789} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn mathvariant=\"bold\">0123456789<\/mn>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbf {0123456789} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbf{0123456789}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mn id=\"p1.1.m1.1.10a\" xref=\"p1.1.m1.1.10.cmml\">\ud835\udfce\ud835\udfcf\ud835\udfd0\ud835\udfd1\ud835\udfd2\ud835\udfd3\ud835\udfd4\ud835\udfd5\ud835\udfd6\ud835\udfd7<\/mn>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <cn type=\"integer\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">0123456789<\/cn>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbf{0123456789}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\boldsymbol{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">A<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">B<\/mi>\n <\/mrow>\n <mi mathvariant=\"bold\">Γ<!-- \u0393 --><\/mi>\n <mi mathvariant=\"bold\">Δ<!-- \u0394 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">E<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">Z<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">H<\/mi>\n <\/mrow>\n <mi mathvariant=\"bold\">Θ<!-- \u0398 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\boldsymbol{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta% \\Eta\\Theta}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Alpha<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\Beta<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udeaa<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udeab<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5b.cmml\">\n <mtext id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5b.cmml\">\\Epsilon<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6b.cmml\">\n <mtext id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6b.cmml\">\\Zeta<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7b.cmml\">\n <mtext id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7b.cmml\">\\Eta<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\ud835\udeaf<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Alpha<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\Beta<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udeaa<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udeab<\/ci>\n <ci id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\\Epsilon<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.6b.cmml\" xref=\"p1.1.m1.1.6\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <mtext id=\"p1.1.m1.1.6a.cmml\" xref=\"p1.1.m1.1.6\">\\Zeta<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.7b.cmml\" xref=\"p1.1.m1.1.7\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <mtext id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\">\\Eta<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udeaf<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\boldsymbol{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta%\n\\Eta\\Theta}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\boldsymbol{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">I<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">K<\/mi>\n <\/mrow>\n <mi mathvariant=\"bold\">Λ<!-- \u039b --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">M<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">N<\/mi>\n <\/mrow>\n <mi mathvariant=\"bold\">Ξ<!-- \u039e --><\/mi>\n <mi mathvariant=\"bold\">Π<!-- \u03a0 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">P<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\boldsymbol{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Iota<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\Kappa<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udeb2<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4b.cmml\">\n <mtext id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4b.cmml\">\\Mu<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5b.cmml\">\n <mtext id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5b.cmml\">\\Nu<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udeb5<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udeb7<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8b.cmml\">\n <mtext id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8b.cmml\">\\Rho<\/mtext>\n <\/merror>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Iota<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\Kappa<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udeb2<\/ci>\n <ci id=\"p1.1.m1.1.4b.cmml\" xref=\"p1.1.m1.1.4\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <mtext id=\"p1.1.m1.1.4a.cmml\" xref=\"p1.1.m1.1.4\">\\Mu<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\\Nu<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udeb5<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udeb7<\/ci>\n <ci id=\"p1.1.m1.1.8b.cmml\" xref=\"p1.1.m1.1.8\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <mtext id=\"p1.1.m1.1.8a.cmml\" xref=\"p1.1.m1.1.8\">\\Rho<\/mtext>\n <\/merror>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\boldsymbol{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\boldsymbol{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">Σ<!-- \u03a3 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">T<\/mi>\n <\/mrow>\n <mi mathvariant=\"bold\">Υ<!-- \u03a5 --><\/mi>\n <mi mathvariant=\"bold\">Φ<!-- \u03a6 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">X<\/mi>\n <\/mrow>\n <mi mathvariant=\"bold\">Ψ<!-- \u03a8 --><\/mi>\n <mi mathvariant=\"bold\">Ω<!-- \u03a9 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\boldsymbol{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega}% \\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udeba<\/mi>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\Tau<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udebc<\/mi>\n <mo id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udebd<\/mi>\n <mo id=\"p1.1.m1.1.9.1c\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5b.cmml\">\n <mtext id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5b.cmml\">\\Chi<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1d\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udebf<\/mi>\n <mo id=\"p1.1.m1.1.9.1e\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udec0<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udeba<\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\Tau<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udebc<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udebd<\/ci>\n <ci id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\\Chi<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udebf<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udec0<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\boldsymbol{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega}%\n\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\boldsymbol{\\alpha\\beta\\gamma\\delta\\epsilon\\zeta\\eta\\theta} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">α<!-- \u03b1 --><\/mi>\n <mi mathvariant=\"bold-italic\">β<!-- \u03b2 --><\/mi>\n <mi mathvariant=\"bold-italic\">γ<!-- \u03b3 --><\/mi>\n <mi mathvariant=\"bold-italic\">δ<!-- \u03b4 --><\/mi>\n <mi mathvariant=\"bold-italic\">ϵ<!-- \u03f5 --><\/mi>\n <mi mathvariant=\"bold-italic\">ζ<!-- \u03b6 --><\/mi>\n <mi mathvariant=\"bold-italic\">η<!-- \u03b7 --><\/mi>\n <mi mathvariant=\"bold-italic\">θ<!-- \u03b8 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\boldsymbol{\\alpha\\beta\\gamma\\delta\\epsilon\\zeta% \\eta\\theta}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udf36<\/mi>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udf37<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udf38<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udf39<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"bold-italic\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u03f5<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udf3b<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udf3c<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\ud835\udf3d<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udf36<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udf37<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udf38<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udf39<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">bold-italic-\u03f5<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udf3b<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udf3c<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udf3d<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\boldsymbol{\\alpha\\beta\\gamma\\delta\\epsilon\\zeta%\n\\eta\\theta}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\boldsymbol{\\iota\\kappa\\lambda\\mu\\nu\\xi\\pi\\rho} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">ι<!-- \u03b9 --><\/mi>\n <mi mathvariant=\"bold-italic\">κ<!-- \u03ba --><\/mi>\n <mi mathvariant=\"bold-italic\">λ<!-- \u03bb --><\/mi>\n <mi mathvariant=\"bold-italic\">μ<!-- \u03bc --><\/mi>\n <mi mathvariant=\"bold-italic\">ν<!-- \u03bd --><\/mi>\n <mi mathvariant=\"bold-italic\">ξ<!-- \u03be --><\/mi>\n <mi mathvariant=\"bold-italic\">π<!-- \u03c0 --><\/mi>\n <mi mathvariant=\"bold-italic\">ρ<!-- \u03c1 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\boldsymbol{\\iota\\kappa\\lambda\\mu\\nu\\xi\\pi\\rho}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udf3e<\/mi>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udf3f<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udf40<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udf41<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udf42<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udf43<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udf45<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\ud835\udf46<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udf3e<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udf3f<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udf40<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udf41<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udf42<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udf43<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udf45<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udf46<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\boldsymbol{\\iota\\kappa\\lambda\\mu\\nu\\xi\\pi\\rho}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\boldsymbol{\\sigma\\tau\\upsilon\\phi\\chi\\psi\\omega} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">σ<!-- \u03c3 --><\/mi>\n <mi mathvariant=\"bold-italic\">τ<!-- \u03c4 --><\/mi>\n <mi mathvariant=\"bold-italic\">υ<!-- \u03c5 --><\/mi>\n <mi mathvariant=\"bold-italic\">ϕ<!-- \u03d5 --><\/mi>\n <mi mathvariant=\"bold-italic\">χ<!-- \u03c7 --><\/mi>\n <mi mathvariant=\"bold-italic\">ψ<!-- \u03c8 --><\/mi>\n <mi mathvariant=\"bold-italic\">ω<!-- \u03c9 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\boldsymbol{\\sigma\\tau\\upsilon\\phi\\chi\\psi\\omega}% \\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udf48<\/mi>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udf49<\/mi>\n <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udf4a<\/mi>\n <mo id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"bold-italic\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03d5<\/mi>\n <mo id=\"p1.1.m1.1.9.1c\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udf4c<\/mi>\n <mo id=\"p1.1.m1.1.9.1d\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udf4d<\/mi>\n <mo id=\"p1.1.m1.1.9.1e\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udf4e<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udf48<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udf49<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udf4a<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">bold-italic-\u03d5<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udf4c<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udf4d<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udf4e<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\boldsymbol{\\sigma\\tau\\upsilon\\phi\\chi\\psi\\omega}%\n\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\boldsymbol{\\varepsilon\\digamma\\varkappa\\varpi} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\varepsilon \\digamma \\varkappa \\varpi }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">ε<!-- \u03b5 --><\/mi>\n <mi mathvariant=\"bold-italic\">ϝ<!-- \u03dd --><\/mi>\n <mi mathvariant=\"bold-italic\">ϰ<!-- \u03f0 --><\/mi>\n <mi mathvariant=\"bold-italic\">ϖ<!-- \u03d6 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\varepsilon \\digamma \\varkappa \\varpi }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\boldsymbol{\\varepsilon\\digamma\\varkappa\\varpi}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udf3a<\/mi>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"bold-italic\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u03dd<\/mi>\n <mo id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"bold-italic\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u03f0<\/mi>\n <mo id=\"p1.1.m1.1.6.1b\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi mathvariant=\"bold-italic\" id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\u03d6<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udf3a<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">bold-italic-\u03dd<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">bold-italic-\u03f0<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">bold-italic-\u03d6<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\boldsymbol{\\varepsilon\\digamma\\varkappa\\varpi}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\boldsymbol{\\varrho\\varsigma\\vartheta\\varphi} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\varrho \\varsigma \\vartheta \\varphi }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">ϱ<!-- \u03f1 --><\/mi>\n <mi mathvariant=\"bold-italic\">ς<!-- \u03c2 --><\/mi>\n <mi mathvariant=\"bold-italic\">ϑ<!-- \u03d1 --><\/mi>\n <mi mathvariant=\"bold-italic\">φ<!-- \u03c6 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\varrho \\varsigma \\vartheta \\varphi }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\boldsymbol{\\varrho\\varsigma\\vartheta\\varphi}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mi mathvariant=\"bold-italic\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03f1<\/mi>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udf47<\/mi>\n <mo id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"bold-italic\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u03d1<\/mi>\n <mo id=\"p1.1.m1.1.6.1b\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udf4b<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">bold-italic-\u03f1<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udf47<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">bold-italic-\u03d1<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udf4b<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\boldsymbol{\\varrho\\varsigma\\vartheta\\varphi}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathit{0123456789} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathit {0123456789}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn class=\"MJX-tex-mathit\" mathvariant=\"italic\">0123456789<\/mn>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathit {0123456789}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathit{0123456789}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mn mathvariant=\"italic\" id=\"p1.1.m1.1.10a\" xref=\"p1.1.m1.1.10.cmml\">0123456789<\/mn>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <cn type=\"integer\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">0123456789<\/cn>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathit{0123456789}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathit{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathit {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">A<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">B<\/mi>\n <\/mrow>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">Γ<!-- \u0393 --><\/mi>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">Δ<!-- \u0394 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">E<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">Z<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">H<\/mi>\n <\/mrow>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">Θ<!-- \u0398 --><\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathit {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathit{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta% \\Theta}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Alpha<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\Beta<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u0393<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u0394<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5b.cmml\">\n <mtext id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5b.cmml\">\\Epsilon<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6b.cmml\">\n <mtext id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6b.cmml\">\\Zeta<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7b.cmml\">\n <mtext id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7b.cmml\">\\Eta<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\u0398<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Alpha<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\Beta<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udee4<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udee5<\/ci>\n <ci id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\\Epsilon<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.6b.cmml\" xref=\"p1.1.m1.1.6\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <mtext id=\"p1.1.m1.1.6a.cmml\" xref=\"p1.1.m1.1.6\">\\Zeta<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.7b.cmml\" xref=\"p1.1.m1.1.7\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <mtext id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\">\\Eta<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udee9<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathit{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta%\n\\Theta}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathit{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathit {\\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">I<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">K<\/mi>\n <\/mrow>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">Λ<!-- \u039b --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">M<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">N<\/mi>\n <\/mrow>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">Ξ<!-- \u039e --><\/mi>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">Π<!-- \u03a0 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">P<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathit {\\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathit{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Iota<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\Kappa<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u039b<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4b.cmml\">\n <mtext id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4b.cmml\">\\Mu<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5b.cmml\">\n <mtext id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5b.cmml\">\\Nu<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u039e<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u03a0<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8b.cmml\">\n <mtext id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8b.cmml\">\\Rho<\/mtext>\n <\/merror>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Iota<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\Kappa<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udeec<\/ci>\n <ci id=\"p1.1.m1.1.4b.cmml\" xref=\"p1.1.m1.1.4\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <mtext id=\"p1.1.m1.1.4a.cmml\" xref=\"p1.1.m1.1.4\">\\Mu<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\\Nu<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udeef<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udef1<\/ci>\n <ci id=\"p1.1.m1.1.8b.cmml\" xref=\"p1.1.m1.1.8\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <mtext id=\"p1.1.m1.1.8a.cmml\" xref=\"p1.1.m1.1.8\">\\Rho<\/mtext>\n <\/merror>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathit{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathit{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathit {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">Σ<!-- \u03a3 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">T<\/mi>\n <\/mrow>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">Υ<!-- \u03a5 --><\/mi>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">Φ<!-- \u03a6 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">X<\/mi>\n <\/mrow>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">Ψ<!-- \u03a8 --><\/mi>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">Ω<!-- \u03a9 --><\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathit {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathit{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03a3<\/mi>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\Tau<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u03a5<\/mi>\n <mo id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03a6<\/mi>\n <mo id=\"p1.1.m1.1.9.1c\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5b.cmml\">\n <mtext id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5b.cmml\">\\Chi<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1d\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u03a8<\/mi>\n <mo id=\"p1.1.m1.1.9.1e\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\u03a9<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udef4<\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\Tau<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udef6<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udef7<\/ci>\n <ci id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\\Chi<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udef9<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udefa<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathit{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathrm{ABCDEFGHI} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {ABCDEFGHI} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">A<\/mi>\n <mi mathvariant=\"normal\">B<\/mi>\n <mi mathvariant=\"normal\">C<\/mi>\n <mi mathvariant=\"normal\">D<\/mi>\n <mi mathvariant=\"normal\">E<\/mi>\n <mi mathvariant=\"normal\">F<\/mi>\n <mi mathvariant=\"normal\">G<\/mi>\n <mi mathvariant=\"normal\">H<\/mi>\n <mi mathvariant=\"normal\">I<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {ABCDEFGHI} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathrm{ABCDEFGHI}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">ABCDEFGHI<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">ABCDEFGHI<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathrm{ABCDEFGHI}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathrm{JKLMNOPQR} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {JKLMNOPQR} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">J<\/mi>\n <mi mathvariant=\"normal\">K<\/mi>\n <mi mathvariant=\"normal\">L<\/mi>\n <mi mathvariant=\"normal\">M<\/mi>\n <mi mathvariant=\"normal\">N<\/mi>\n <mi mathvariant=\"normal\">O<\/mi>\n <mi mathvariant=\"normal\">P<\/mi>\n <mi mathvariant=\"normal\">Q<\/mi>\n <mi mathvariant=\"normal\">R<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {JKLMNOPQR} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathrm{JKLMNOPQR}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">JKLMNOPQR<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">JKLMNOPQR<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathrm{JKLMNOPQR}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathrm{STUVWXYZ} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {STUVWXYZ} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">S<\/mi>\n <mi mathvariant=\"normal\">T<\/mi>\n <mi mathvariant=\"normal\">U<\/mi>\n <mi mathvariant=\"normal\">V<\/mi>\n <mi mathvariant=\"normal\">W<\/mi>\n <mi mathvariant=\"normal\">X<\/mi>\n <mi mathvariant=\"normal\">Y<\/mi>\n <mi mathvariant=\"normal\">Z<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {STUVWXYZ} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathrm{STUVWXYZ}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">STUVWXYZ<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">STUVWXYZ<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathrm{STUVWXYZ}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathrm{abcdefghijklm} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {abcdefghijklm} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">a<\/mi>\n <mi mathvariant=\"normal\">b<\/mi>\n <mi mathvariant=\"normal\">c<\/mi>\n <mi mathvariant=\"normal\">d<\/mi>\n <mi mathvariant=\"normal\">e<\/mi>\n <mi mathvariant=\"normal\">f<\/mi>\n <mi mathvariant=\"normal\">g<\/mi>\n <mi mathvariant=\"normal\">h<\/mi>\n <mi mathvariant=\"normal\">i<\/mi>\n <mi mathvariant=\"normal\">j<\/mi>\n <mi mathvariant=\"normal\">k<\/mi>\n <mi mathvariant=\"normal\">l<\/mi>\n <mi mathvariant=\"normal\">m<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {abcdefghijklm} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathrm{abcdefghijklm}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mi id=\"p1.1.m1.1.13a\" xref=\"p1.1.m1.1.13.cmml\">abcdefghijklm<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">abcdefghijklm<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathrm{abcdefghijklm}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathrm{nopqrstuvwxyz} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {nopqrstuvwxyz} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">n<\/mi>\n <mi mathvariant=\"normal\">o<\/mi>\n <mi mathvariant=\"normal\">p<\/mi>\n <mi mathvariant=\"normal\">q<\/mi>\n <mi mathvariant=\"normal\">r<\/mi>\n <mi mathvariant=\"normal\">s<\/mi>\n <mi mathvariant=\"normal\">t<\/mi>\n <mi mathvariant=\"normal\">u<\/mi>\n <mi mathvariant=\"normal\">v<\/mi>\n <mi mathvariant=\"normal\">w<\/mi>\n <mi mathvariant=\"normal\">x<\/mi>\n <mi mathvariant=\"normal\">y<\/mi>\n <mi mathvariant=\"normal\">z<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {nopqrstuvwxyz} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathrm{nopqrstuvwxyz}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mi id=\"p1.1.m1.1.13a\" xref=\"p1.1.m1.1.13.cmml\">nopqrstuvwxyz<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">nopqrstuvwxyz<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathrm{nopqrstuvwxyz}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathrm{0123456789} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {0123456789} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0123456789<\/mn>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {0123456789} \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathrm{0123456789}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mn id=\"p1.1.m1.1.10a\" xref=\"p1.1.m1.1.10.cmml\">0123456789<\/mn>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <cn type=\"integer\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">0123456789<\/cn>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathrm{0123456789}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathsf{ABCDEFGHI} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {ABCDEFGHI}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">A<\/mi>\n <mi mathvariant=\"sans-serif\">B<\/mi>\n <mi mathvariant=\"sans-serif\">C<\/mi>\n <mi mathvariant=\"sans-serif\">D<\/mi>\n <mi mathvariant=\"sans-serif\">E<\/mi>\n <mi mathvariant=\"sans-serif\">F<\/mi>\n <mi mathvariant=\"sans-serif\">G<\/mi>\n <mi mathvariant=\"sans-serif\">H<\/mi>\n <mi mathvariant=\"sans-serif\">I<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {ABCDEFGHI}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathsf{ABCDEFGHI}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">\ud835\udda0\ud835\udda1\ud835\udda2\ud835\udda3\ud835\udda4\ud835\udda5\ud835\udda6\ud835\udda7\ud835\udda8<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udda0\ud835\udda1\ud835\udda2\ud835\udda3\ud835\udda4\ud835\udda5\ud835\udda6\ud835\udda7\ud835\udda8<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathsf{ABCDEFGHI}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathsf{JKLMNOPQR} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {JKLMNOPQR}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">J<\/mi>\n <mi mathvariant=\"sans-serif\">K<\/mi>\n <mi mathvariant=\"sans-serif\">L<\/mi>\n <mi mathvariant=\"sans-serif\">M<\/mi>\n <mi mathvariant=\"sans-serif\">N<\/mi>\n <mi mathvariant=\"sans-serif\">O<\/mi>\n <mi mathvariant=\"sans-serif\">P<\/mi>\n <mi mathvariant=\"sans-serif\">Q<\/mi>\n <mi mathvariant=\"sans-serif\">R<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {JKLMNOPQR}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathsf{JKLMNOPQR}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">\ud835\udda9\ud835\uddaa\ud835\uddab\ud835\uddac\ud835\uddad\ud835\uddae\ud835\uddaf\ud835\uddb0\ud835\uddb1<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udda9\ud835\uddaa\ud835\uddab\ud835\uddac\ud835\uddad\ud835\uddae\ud835\uddaf\ud835\uddb0\ud835\uddb1<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathsf{JKLMNOPQR}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathsf{STUVWXYZ} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {STUVWXYZ}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">S<\/mi>\n <mi mathvariant=\"sans-serif\">T<\/mi>\n <mi mathvariant=\"sans-serif\">U<\/mi>\n <mi mathvariant=\"sans-serif\">V<\/mi>\n <mi mathvariant=\"sans-serif\">W<\/mi>\n <mi mathvariant=\"sans-serif\">X<\/mi>\n <mi mathvariant=\"sans-serif\">Y<\/mi>\n <mi mathvariant=\"sans-serif\">Z<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {STUVWXYZ}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathsf{STUVWXYZ}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\ud835\uddb2\ud835\uddb3\ud835\uddb4\ud835\uddb5\ud835\uddb6\ud835\uddb7\ud835\uddb8\ud835\uddb9<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\uddb2\ud835\uddb3\ud835\uddb4\ud835\uddb5\ud835\uddb6\ud835\uddb7\ud835\uddb8\ud835\uddb9<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathsf{STUVWXYZ}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathsf{abcdefghijklm} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {abcdefghijklm}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">a<\/mi>\n <mi mathvariant=\"sans-serif\">b<\/mi>\n <mi mathvariant=\"sans-serif\">c<\/mi>\n <mi mathvariant=\"sans-serif\">d<\/mi>\n <mi mathvariant=\"sans-serif\">e<\/mi>\n <mi mathvariant=\"sans-serif\">f<\/mi>\n <mi mathvariant=\"sans-serif\">g<\/mi>\n <mi mathvariant=\"sans-serif\">h<\/mi>\n <mi mathvariant=\"sans-serif\">i<\/mi>\n <mi mathvariant=\"sans-serif\">j<\/mi>\n <mi mathvariant=\"sans-serif\">k<\/mi>\n <mi mathvariant=\"sans-serif\">l<\/mi>\n <mi mathvariant=\"sans-serif\">m<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {abcdefghijklm}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathsf{abcdefghijklm}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mi id=\"p1.1.m1.1.13a\" xref=\"p1.1.m1.1.13.cmml\">\ud835\uddba\ud835\uddbb\ud835\uddbc\ud835\uddbd\ud835\uddbe\ud835\uddbf\ud835\uddc0\ud835\uddc1\ud835\uddc2\ud835\uddc3\ud835\uddc4\ud835\uddc5\ud835\uddc6<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\uddba\ud835\uddbb\ud835\uddbc\ud835\uddbd\ud835\uddbe\ud835\uddbf\ud835\uddc0\ud835\uddc1\ud835\uddc2\ud835\uddc3\ud835\uddc4\ud835\uddc5\ud835\uddc6<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathsf{abcdefghijklm}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathsf{nopqrstuvwxyz} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {nopqrstuvwxyz}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">n<\/mi>\n <mi mathvariant=\"sans-serif\">o<\/mi>\n <mi mathvariant=\"sans-serif\">p<\/mi>\n <mi mathvariant=\"sans-serif\">q<\/mi>\n <mi mathvariant=\"sans-serif\">r<\/mi>\n <mi mathvariant=\"sans-serif\">s<\/mi>\n <mi mathvariant=\"sans-serif\">t<\/mi>\n <mi mathvariant=\"sans-serif\">u<\/mi>\n <mi mathvariant=\"sans-serif\">v<\/mi>\n <mi mathvariant=\"sans-serif\">w<\/mi>\n <mi mathvariant=\"sans-serif\">x<\/mi>\n <mi mathvariant=\"sans-serif\">y<\/mi>\n <mi mathvariant=\"sans-serif\">z<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {nopqrstuvwxyz}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathsf{nopqrstuvwxyz}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mi id=\"p1.1.m1.1.13a\" xref=\"p1.1.m1.1.13.cmml\">\ud835\uddc7\ud835\uddc8\ud835\uddc9\ud835\uddca\ud835\uddcb\ud835\uddcc\ud835\uddcd\ud835\uddce\ud835\uddcf\ud835\uddd0\ud835\uddd1\ud835\uddd2\ud835\uddd3<\/mi>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\uddc7\ud835\uddc8\ud835\uddc9\ud835\uddca\ud835\uddcb\ud835\uddcc\ud835\uddcd\ud835\uddce\ud835\uddcf\ud835\uddd0\ud835\uddd1\ud835\uddd2\ud835\uddd3<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathsf{nopqrstuvwxyz}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathsf{0123456789} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {0123456789}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn mathvariant=\"sans-serif\">0123456789<\/mn>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {0123456789}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathsf{0123456789}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mn id=\"p1.1.m1.1.10a\" xref=\"p1.1.m1.1.10.cmml\">\ud835\udfe2\ud835\udfe3\ud835\udfe4\ud835\udfe5\ud835\udfe6\ud835\udfe7\ud835\udfe8\ud835\udfe9\ud835\udfea\ud835\udfeb<\/mn>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <cn type=\"integer\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">0123456789<\/cn>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathsf{0123456789}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathsf{\\Alpha \\Beta \\Gamma \\Delta \\Epsilon \\Zeta \\Eta \\Theta} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">A<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">B<\/mi>\n <\/mrow>\n <mi mathvariant=\"sans-serif\">Γ<!-- \u0393 --><\/mi>\n <mi mathvariant=\"sans-serif\">Δ<!-- \u0394 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">E<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">Z<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">H<\/mi>\n <\/mrow>\n <mi mathvariant=\"sans-serif\">Θ<!-- \u0398 --><\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathsf{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta% \\Theta}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Alpha<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\Beta<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"sans-serif\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u0393<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"sans-serif\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u0394<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5b.cmml\">\n <mtext id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5b.cmml\">\\Epsilon<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6b.cmml\">\n <mtext id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6b.cmml\">\\Zeta<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7b.cmml\">\n <mtext id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7b.cmml\">\\Eta<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi mathvariant=\"sans-serif\" id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\u0398<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Alpha<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\Beta<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">sans-serif-\u0393<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">sans-serif-\u0394<\/ci>\n <ci id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\\Epsilon<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.6b.cmml\" xref=\"p1.1.m1.1.6\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <mtext id=\"p1.1.m1.1.6a.cmml\" xref=\"p1.1.m1.1.6\">\\Zeta<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.7b.cmml\" xref=\"p1.1.m1.1.7\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <mtext id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\">\\Eta<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">sans-serif-\u0398<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathsf{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta%\n\\Theta}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathsf{\\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Pi \\Rho} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {\\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">I<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">K<\/mi>\n <\/mrow>\n <mi mathvariant=\"sans-serif\">Λ<!-- \u039b --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">M<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">N<\/mi>\n <\/mrow>\n <mi mathvariant=\"sans-serif\">Ξ<!-- \u039e --><\/mi>\n <mi mathvariant=\"sans-serif\">Π<!-- \u03a0 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">P<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {\\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathsf{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Iota<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\Kappa<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"sans-serif\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u039b<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4b.cmml\">\n <mtext id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4b.cmml\">\\Mu<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5b.cmml\">\n <mtext id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5b.cmml\">\\Nu<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"sans-serif\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u039e<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"sans-serif\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u03a0<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8b.cmml\">\n <mtext id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8b.cmml\">\\Rho<\/mtext>\n <\/merror>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Iota<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\Kappa<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">sans-serif-\u039b<\/ci>\n <ci id=\"p1.1.m1.1.4b.cmml\" xref=\"p1.1.m1.1.4\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <mtext id=\"p1.1.m1.1.4a.cmml\" xref=\"p1.1.m1.1.4\">\\Mu<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\\Nu<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">sans-serif-\u039e<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">sans-serif-\u03a0<\/ci>\n <ci id=\"p1.1.m1.1.8b.cmml\" xref=\"p1.1.m1.1.8\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <mtext id=\"p1.1.m1.1.8a.cmml\" xref=\"p1.1.m1.1.8\">\\Rho<\/mtext>\n <\/merror>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathsf{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathsf{\\Sigma \\Tau \\Upsilon \\Phi \\Chi \\Psi \\Omega}\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">Σ<!-- \u03a3 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">T<\/mi>\n <\/mrow>\n <mi mathvariant=\"sans-serif\">Υ<!-- \u03a5 --><\/mi>\n <mi mathvariant=\"sans-serif\">Φ<!-- \u03a6 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">X<\/mi>\n <\/mrow>\n <mi mathvariant=\"sans-serif\">Ψ<!-- \u03a8 --><\/mi>\n <mi mathvariant=\"sans-serif\">Ω<!-- \u03a9 --><\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathsf{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi mathvariant=\"sans-serif\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03a3<\/mi>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\Tau<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"sans-serif\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u03a5<\/mi>\n <mo id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"sans-serif\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03a6<\/mi>\n <mo id=\"p1.1.m1.1.9.1c\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5b.cmml\">\n <mtext id=\"p1.1.m1.1.5a\" xref=\"p1.1.m1.1.5b.cmml\">\\Chi<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1d\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi mathvariant=\"sans-serif\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u03a8<\/mi>\n <mo id=\"p1.1.m1.1.9.1e\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi mathvariant=\"sans-serif\" id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\u03a9<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">sans-serif-\u03a3<\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\Tau<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">sans-serif-\u03a5<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">sans-serif-\u03a6<\/ci>\n <ci id=\"p1.1.m1.1.5b.cmml\" xref=\"p1.1.m1.1.5\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\\Chi<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">sans-serif-\u03a8<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">sans-serif-\u03a9<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathsf{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathcal{ABCDEFGHI} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathcal {ABCDEFGHI}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">A<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">B<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">C<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">D<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">E<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">F<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">G<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">H<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">I<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathcal {ABCDEFGHI}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathcal{ABCDEFGHI}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udc9c<\/mi>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u212c<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udc9e<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udc9f<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u2130<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u2131<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udca2<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u210b<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">\u2110<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc9c<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u212c<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc9e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc9f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u2130<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u2131<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udca2<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u210b<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u2110<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathcal{ABCDEFGHI}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathcal{JKLMNOPQR} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathcal {JKLMNOPQR}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">J<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">K<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">L<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">M<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">N<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">O<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">P<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">Q<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">R<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathcal {JKLMNOPQR}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathcal{JKLMNOPQR}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udca5<\/mi>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udca6<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2112<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u2133<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udca9<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udcaa<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udcab<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\ud835\udcac<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">\u211b<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udca5<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udca6<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u2112<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u2133<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udca9<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udcaa<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udcab<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udcac<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u211b<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathcal{JKLMNOPQR}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathcal{STUVWXYZ} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathcal {STUVWXYZ}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">S<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">T<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">U<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">V<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">W<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">X<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">Y<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">Z<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathcal {STUVWXYZ}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathcal{STUVWXYZ}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udcae<\/mi>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udcaf<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udcb0<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udcb1<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udcb2<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udcb3<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udcb4<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\ud835\udcb5<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udcae<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udcaf<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udcb0<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udcb1<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udcb2<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udcb3<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udcb4<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udcb5<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathcal{STUVWXYZ}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathfrak{ABCDEFGHI} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathfrak {ABCDEFGHI}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"fraktur\">A<\/mi>\n <mi mathvariant=\"fraktur\">B<\/mi>\n <mi mathvariant=\"fraktur\">C<\/mi>\n <mi mathvariant=\"fraktur\">D<\/mi>\n <mi mathvariant=\"fraktur\">E<\/mi>\n <mi mathvariant=\"fraktur\">F<\/mi>\n <mi mathvariant=\"fraktur\">G<\/mi>\n <mi mathvariant=\"fraktur\">H<\/mi>\n <mi mathvariant=\"fraktur\">I<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathfrak {ABCDEFGHI}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathfrak{ABCDEFGHI}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udd04<\/mi>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udd05<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u212d<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udd07<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udd08<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udd09<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udd0a<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u210c<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">\u2111<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udd04<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udd05<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u212d<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udd07<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udd08<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udd09<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udd0a<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u210c<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u2111<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathfrak{ABCDEFGHI}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathfrak{JKLMNOPQR} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathfrak {JKLMNOPQR}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"fraktur\">J<\/mi>\n <mi mathvariant=\"fraktur\">K<\/mi>\n <mi mathvariant=\"fraktur\">L<\/mi>\n <mi mathvariant=\"fraktur\">M<\/mi>\n <mi mathvariant=\"fraktur\">N<\/mi>\n <mi mathvariant=\"fraktur\">O<\/mi>\n <mi mathvariant=\"fraktur\">P<\/mi>\n <mi mathvariant=\"fraktur\">Q<\/mi>\n <mi mathvariant=\"fraktur\">R<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathfrak {JKLMNOPQR}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathfrak{JKLMNOPQR}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udd0d<\/mi>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udd0e<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udd0f<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udd10<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udd11<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udd12<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udd13<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\ud835\udd14<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9.cmml\">\u211c<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udd0d<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udd0e<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udd0f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udd10<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udd11<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udd12<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udd13<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udd14<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u211c<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathfrak{JKLMNOPQR}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathfrak{STUVWXYZ} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathfrak {STUVWXYZ}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"fraktur\">S<\/mi>\n <mi mathvariant=\"fraktur\">T<\/mi>\n <mi mathvariant=\"fraktur\">U<\/mi>\n <mi mathvariant=\"fraktur\">V<\/mi>\n <mi mathvariant=\"fraktur\">W<\/mi>\n <mi mathvariant=\"fraktur\">X<\/mi>\n <mi mathvariant=\"fraktur\">Y<\/mi>\n <mi mathvariant=\"fraktur\">Z<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathfrak {STUVWXYZ}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathfrak{STUVWXYZ}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udd16<\/mi>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udd17<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udd18<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udd19<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udd1a<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udd1b<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udd1c<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mi id=\"p1.1.m1.1.8a\" xref=\"p1.1.m1.1.8.cmml\">\u2128<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udd16<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udd17<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udd18<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udd19<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udd1a<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udd1b<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udd1c<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u2128<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathfrak{STUVWXYZ}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathfrak{abcdefghijklm} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathfrak {abcdefghijklm}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"fraktur\">a<\/mi>\n <mi mathvariant=\"fraktur\">b<\/mi>\n <mi mathvariant=\"fraktur\">c<\/mi>\n <mi mathvariant=\"fraktur\">d<\/mi>\n <mi mathvariant=\"fraktur\">e<\/mi>\n <mi mathvariant=\"fraktur\">f<\/mi>\n <mi mathvariant=\"fraktur\">g<\/mi>\n <mi mathvariant=\"fraktur\">h<\/mi>\n <mi mathvariant=\"fraktur\">i<\/mi>\n <mi mathvariant=\"fraktur\">j<\/mi>\n <mi mathvariant=\"fraktur\">k<\/mi>\n <mi mathvariant=\"fraktur\">l<\/mi>\n <mi mathvariant=\"fraktur\">m<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathfrak {abcdefghijklm}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathfrak{abcdefghijklm}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udd1e<\/mi>\n <mo id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udd1f<\/mi>\n <mo id=\"p1.1.m1.1.15.1a\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udd20<\/mi>\n <mo id=\"p1.1.m1.1.15.1b\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udd21<\/mi>\n <mo id=\"p1.1.m1.1.15.1c\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udd22<\/mi>\n <mo id=\"p1.1.m1.1.15.1d\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udd23<\/mi>\n <mo id=\"p1.1.m1.1.15.1e\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udd24<\/mi>\n <mo id=\"p1.1.m1.1.15.1f\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\ud835\udd25<\/mi>\n <mo id=\"p1.1.m1.1.15.1g\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\ud835\udd26<\/mi>\n <mo id=\"p1.1.m1.1.15.1h\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\ud835\udd27<\/mi>\n <mo id=\"p1.1.m1.1.15.1i\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\ud835\udd28<\/mi>\n <mo id=\"p1.1.m1.1.15.1j\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\ud835\udd29<\/mi>\n <mo id=\"p1.1.m1.1.15.1k\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mi id=\"p1.1.m1.1.13a\" xref=\"p1.1.m1.1.13.cmml\">\ud835\udd2a<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n <times id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udd1e<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udd1f<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udd20<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udd21<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udd22<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udd23<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udd24<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udd25<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udd26<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udd27<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udd28<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udd29<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udd2a<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathfrak{abcdefghijklm}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathfrak{nopqrstuvwxyz} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathfrak {nopqrstuvwxyz}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"fraktur\">n<\/mi>\n <mi mathvariant=\"fraktur\">o<\/mi>\n <mi mathvariant=\"fraktur\">p<\/mi>\n <mi mathvariant=\"fraktur\">q<\/mi>\n <mi mathvariant=\"fraktur\">r<\/mi>\n <mi mathvariant=\"fraktur\">s<\/mi>\n <mi mathvariant=\"fraktur\">t<\/mi>\n <mi mathvariant=\"fraktur\">u<\/mi>\n <mi mathvariant=\"fraktur\">v<\/mi>\n <mi mathvariant=\"fraktur\">w<\/mi>\n <mi mathvariant=\"fraktur\">x<\/mi>\n <mi mathvariant=\"fraktur\">y<\/mi>\n <mi mathvariant=\"fraktur\">z<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathfrak {nopqrstuvwxyz}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathfrak{nopqrstuvwxyz}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udd2b<\/mi>\n <mo id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udd2c<\/mi>\n <mo id=\"p1.1.m1.1.15.1a\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udd2d<\/mi>\n <mo id=\"p1.1.m1.1.15.1b\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udd2e<\/mi>\n <mo id=\"p1.1.m1.1.15.1c\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udd2f<\/mi>\n <mo id=\"p1.1.m1.1.15.1d\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udd30<\/mi>\n <mo id=\"p1.1.m1.1.15.1e\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udd31<\/mi>\n <mo id=\"p1.1.m1.1.15.1f\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\ud835\udd32<\/mi>\n <mo id=\"p1.1.m1.1.15.1g\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\ud835\udd33<\/mi>\n <mo id=\"p1.1.m1.1.15.1h\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\ud835\udd34<\/mi>\n <mo id=\"p1.1.m1.1.15.1i\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\ud835\udd35<\/mi>\n <mo id=\"p1.1.m1.1.15.1j\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\ud835\udd36<\/mi>\n <mo id=\"p1.1.m1.1.15.1k\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mi id=\"p1.1.m1.1.13a\" xref=\"p1.1.m1.1.13.cmml\">\ud835\udd37<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n <times id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udd2b<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udd2c<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udd2d<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udd2e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udd2f<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udd30<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udd31<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udd32<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udd33<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udd34<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udd35<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udd36<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udd37<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathfrak{nopqrstuvwxyz}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathfrak{0123456789} \\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathfrak {0123456789}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn mathvariant=\"fraktur\">0123456789<\/mn>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathfrak {0123456789}}\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathfrak{0123456789}\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mn class=\"ltx_font_oldstyle\" mathvariant=\"fraktur\" id=\"p1.1.m1.1.10a\" xref=\"p1.1.m1.1.10.cmml\">0123456789<\/mn>\n <\/mpadded>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <cn type=\"integer\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">0123456789<\/cn>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathfrak{0123456789}\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "x y z",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle xyz}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>x<\/mi>\n <mi>y<\/mi>\n <mi>z<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle xyz}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle xyz}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.4.1a\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">z<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc67<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle xyz}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\text{x y z}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{x y z}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>x y z<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{x y z}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\" class=\"ltx_document\">\n<div id=\"p1\" class=\"ltx_para\">\n<p id=\"p1.1\" class=\"ltx_p\"><span id=\"p1.1.m1.1.1.1\" class=\"ltx_text ltx_markedasmath\">x y z<\/span><\/p>\n<\/div>\n<\/div>"
|
|
},
|
|
{
|
|
"tex": "\\text{if} n \\text{is even}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{if}}n{\\text{is even}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>if<\/mtext>\n <\/mrow>\n <mi>n<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>is even<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{if}}n{\\text{is even}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\text{if}n\\text{is even}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mtext id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1a.cmml\">if<\/mtext>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.4.1a\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3a.cmml\">is even<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <ci id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">if<\/mtext>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.3a.cmml\" xref=\"p1.1.m1.1.3\">\n <mtext id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">is even<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\text{if}n\\text{is even}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\text{if }n\\text{ is even}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{if }}n{\\text{ is even}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>if <\/mtext>\n <\/mrow>\n <mi>n<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext> is even<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{if }}n{\\text{ is even}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\text{if }n\\text{ is even}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mtext id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1a.cmml\">if\u00a0<\/mtext>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.4.1a\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3a.cmml\">\u00a0is even<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <ci id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">if\u00a0<\/mtext>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.3a.cmml\" xref=\"p1.1.m1.1.3\">\n <mtext id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u00a0is even<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\text{if }n\\text{ is even}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\text{if}~n\\ \\text{is even}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{if}}~n\\ {\\text{is even}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>if<\/mtext>\n <\/mrow>\n <mtext> <\/mtext>\n <mi>n<\/mi>\n <mtext> <\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>is even<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{if}}~n\\ {\\text{is even}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\text{if}~{}n\\ \\text{is even}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mpadded width=\"+3.3pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">if<\/mtext>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mpadded width=\"+5pt\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">n<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5a.cmml\">is even<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <mpadded width=\"+3.3pt\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">if<\/mtext>\n <\/mpadded>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">is even<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\text{if}~{}n\\ \\text{is even}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "{\\color{Blue}x^2}+{\\color{YellowOrange}2x}-{\\color{OliveGreen}1}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\color {Blue}x^{2}}+{\\color {YellowOrange}2x}-{\\color {OliveGreen}1}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle mathcolor=\"#2D2F92\">\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <mo>+<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle mathcolor=\"#FAA21A\">\n <mn>2<\/mn>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <mo>−<!-- \u2212 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle mathcolor=\"#3C8031\">\n <mn>1<\/mn>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\color {Blue}x^{2}}+{\\color {YellowOrange}2x}-{\\color {OliveGreen}1}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle{\\color{Blue}x^{2}}+{\\color{YellowOrange}2x}-{% \\color{OliveGreen}1}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.37\" xref=\"p1.1.m1.1.37.cmml\">\n <mrow id=\"p1.1.m1.1.37.1\" xref=\"p1.1.m1.1.37.1.cmml\">\n <mrow id=\"p1.1.m1.1.37.1.1\" xref=\"p1.1.m1.1.37.1.1.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.37.1.1.1\" xref=\"p1.1.m1.1.37.1.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.37.1.1.1a\" xref=\"p1.1.m1.1.37.1.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.37.1.1.1b\" xref=\"p1.1.m1.1.37.1.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.37.1.1.1c\" xref=\"p1.1.m1.1.37.1.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.37.1.1.1d\" xref=\"p1.1.m1.1.37.1.1.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.37.1.1.2\" xref=\"p1.1.m1.1.37.1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.37.1.2\" xref=\"p1.1.m1.1.37.1.2.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9b.cmml\">\n <mtext id=\"p1.1.m1.1.9a\" xref=\"p1.1.m1.1.9b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.37.1.2.1\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">Y<\/mi>\n <mo id=\"p1.1.m1.1.37.1.2.1a\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.37.1.2.1b\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.37.1.2.1c\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.37.1.2.1d\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.37.1.2.1e\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">w<\/mi>\n <mo id=\"p1.1.m1.1.37.1.2.1f\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">O<\/mi>\n <mo id=\"p1.1.m1.1.37.1.2.1g\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.37.1.2.1h\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.37.1.2.1i\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.37.1.2.1j\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.37.1.2.1k\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.37.1.2.1l\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mn id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.37.1.2.1m\" xref=\"p1.1.m1.1.37.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">x<\/mi>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">-<\/mo>\n <mrow id=\"p1.1.m1.1.37.2\" xref=\"p1.1.m1.1.37.2.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.25b.cmml\">\n <mtext id=\"p1.1.m1.1.25a\" xref=\"p1.1.m1.1.25b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.37.2.1\" xref=\"p1.1.m1.1.37.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.cmml\">O<\/mi>\n <mo id=\"p1.1.m1.1.37.2.1a\" xref=\"p1.1.m1.1.37.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.27.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.37.2.1b\" xref=\"p1.1.m1.1.37.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.28.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.37.2.1c\" xref=\"p1.1.m1.1.37.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.29.cmml\">v<\/mi>\n <mo id=\"p1.1.m1.1.37.2.1d\" xref=\"p1.1.m1.1.37.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.30\" xref=\"p1.1.m1.1.30.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.37.2.1e\" xref=\"p1.1.m1.1.37.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.31.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.37.2.1f\" xref=\"p1.1.m1.1.37.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.32\" xref=\"p1.1.m1.1.32.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.37.2.1g\" xref=\"p1.1.m1.1.37.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.33\" xref=\"p1.1.m1.1.33.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.37.2.1h\" xref=\"p1.1.m1.1.37.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.34\" xref=\"p1.1.m1.1.34.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.37.2.1i\" xref=\"p1.1.m1.1.37.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.35\" xref=\"p1.1.m1.1.35.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.37.2.1j\" xref=\"p1.1.m1.1.37.2.1.cmml\">\u2062<\/mo>\n <mn id=\"p1.1.m1.1.36\" xref=\"p1.1.m1.1.36.cmml\">1<\/mn>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.37.cmml\" xref=\"p1.1.m1.1.37\">\n <minus id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\"\/>\n <apply id=\"p1.1.m1.1.37.1.cmml\" xref=\"p1.1.m1.1.37.1\">\n <plus id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <apply id=\"p1.1.m1.1.37.1.1.cmml\" xref=\"p1.1.m1.1.37.1.1\">\n <times id=\"p1.1.m1.1.37.1.1.1.cmml\" xref=\"p1.1.m1.1.37.1.1.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.37.1.1.2.cmml\" xref=\"p1.1.m1.1.37.1.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.37.1.1.2.1.cmml\" xref=\"p1.1.m1.1.37.1.1.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.37.1.2.cmml\" xref=\"p1.1.m1.1.37.1.2\">\n <times id=\"p1.1.m1.1.37.1.2.1.cmml\" xref=\"p1.1.m1.1.37.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.9b.cmml\" xref=\"p1.1.m1.1.9\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <mtext id=\"p1.1.m1.1.9a.cmml\" xref=\"p1.1.m1.1.9\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc4c<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\ud835\udc64<\/ci>\n <ci id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">\ud835\udc42<\/ci>\n <ci id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\ud835\udc52<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">2<\/cn>\n <ci id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.37.2.cmml\" xref=\"p1.1.m1.1.37.2\">\n <times id=\"p1.1.m1.1.37.2.1.cmml\" xref=\"p1.1.m1.1.37.2.1\"\/>\n <ci id=\"p1.1.m1.1.25b.cmml\" xref=\"p1.1.m1.1.25\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.25.cmml\" xref=\"p1.1.m1.1.25\">\n <mtext id=\"p1.1.m1.1.25a.cmml\" xref=\"p1.1.m1.1.25\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.26.cmml\" xref=\"p1.1.m1.1.26\">\ud835\udc42<\/ci>\n <ci id=\"p1.1.m1.1.27.cmml\" xref=\"p1.1.m1.1.27\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.28.cmml\" xref=\"p1.1.m1.1.28\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.29.cmml\" xref=\"p1.1.m1.1.29\">\ud835\udc63<\/ci>\n <ci id=\"p1.1.m1.1.30.cmml\" xref=\"p1.1.m1.1.30\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.31.cmml\" xref=\"p1.1.m1.1.31\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.32.cmml\" xref=\"p1.1.m1.1.32\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.33.cmml\" xref=\"p1.1.m1.1.33\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.34.cmml\" xref=\"p1.1.m1.1.34\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.35.cmml\" xref=\"p1.1.m1.1.35\">\ud835\udc5b<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.36.cmml\" xref=\"p1.1.m1.1.36\">1<\/cn>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle{\\color{Blue}x^{2}}+{\\color{YellowOrange}2x}-{%\n\\color{OliveGreen}1}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "x_{1,2}=\\frac{-b\\pm\\sqrt{\\color{Red}b^2-4ac}}{2a}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x_{1,2}={\\frac {-b\\pm {\\sqrt {\\color {Red}b^{2}-4ac}}}{2a}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <mo>,<\/mo>\n <mn>2<\/mn>\n <\/mrow>\n <\/msub>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>b<\/mi>\n <mo>±<!-- \u00b1 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mstyle mathcolor=\"#ED1B23\">\n <msup>\n <mi>b<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>−<!-- \u2212 --><\/mo>\n <mn>4<\/mn>\n <mi>a<\/mi>\n <mi>c<\/mi>\n <\/mstyle>\n <\/msqrt>\n <\/mrow>\n <\/mrow>\n <mrow>\n <mn>2<\/mn>\n <mi>a<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x_{1,2}={\\frac {-b\\pm {\\sqrt {\\color {Red}b^{2}-4ac}}}{2a}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle x_{1,2}=\\frac{-b\\pm\\sqrt{\\color{Red}b^{2}-4ac}}{2% a}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <msub id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">x<\/mi>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.4.cmml\">\n <mn id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">1<\/mn>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.4.cmml\">,<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">2<\/mn>\n <\/mrow>\n <\/msub>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">=<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mfrac id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\n <mrow id=\"p1.1.m1.1.4.2\" xref=\"p1.1.m1.1.4.2.cmml\">\n <mrow id=\"p1.1.m1.1.4.2.5\" xref=\"p1.1.m1.1.4.2.5.cmml\">\n <mo id=\"p1.1.m1.1.4.2.1\" xref=\"p1.1.m1.1.4.2.1.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.4.2.2\" xref=\"p1.1.m1.1.4.2.2.cmml\">b<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4.2.3\" xref=\"p1.1.m1.1.4.2.3.cmml\">\u00b1<\/mo>\n <msqrt id=\"p1.1.m1.1.4.2.4\" xref=\"p1.1.m1.1.4.2.4.cmml\">\n <mrow id=\"p1.1.m1.1.4.2.4.2\" xref=\"p1.1.m1.1.4.2.4.2.cmml\">\n <mrow id=\"p1.1.m1.1.4.2.4.2.11\" xref=\"p1.1.m1.1.4.2.4.2.11.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.4.2.4.2.1\" xref=\"p1.1.m1.1.4.2.4.2.1b.cmml\">\n <mtext id=\"p1.1.m1.1.4.2.4.2.1a\" xref=\"p1.1.m1.1.4.2.4.2.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.4.2.4.2.11.1\" xref=\"p1.1.m1.1.4.2.4.2.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4.2.4.2.2\" xref=\"p1.1.m1.1.4.2.4.2.2.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.4.2.4.2.11.1a\" xref=\"p1.1.m1.1.4.2.4.2.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4.2.4.2.3\" xref=\"p1.1.m1.1.4.2.4.2.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.4.2.4.2.11.1b\" xref=\"p1.1.m1.1.4.2.4.2.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4.2.4.2.4\" xref=\"p1.1.m1.1.4.2.4.2.4.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.4.2.4.2.11.1c\" xref=\"p1.1.m1.1.4.2.4.2.11.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.4.2.4.2.11.2\" xref=\"p1.1.m1.1.4.2.4.2.11.2.cmml\">\n <mi id=\"p1.1.m1.1.4.2.4.2.5\" xref=\"p1.1.m1.1.4.2.4.2.5.cmml\">b<\/mi>\n <mn id=\"p1.1.m1.1.4.2.4.2.6.1\" xref=\"p1.1.m1.1.4.2.4.2.6.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4.2.4.2.7\" xref=\"p1.1.m1.1.4.2.4.2.7.cmml\">-<\/mo>\n <mrow id=\"p1.1.m1.1.4.2.4.2.12\" xref=\"p1.1.m1.1.4.2.4.2.12.cmml\">\n <mn id=\"p1.1.m1.1.4.2.4.2.8\" xref=\"p1.1.m1.1.4.2.4.2.8.cmml\">4<\/mn>\n <mo id=\"p1.1.m1.1.4.2.4.2.12.1\" xref=\"p1.1.m1.1.4.2.4.2.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4.2.4.2.9\" xref=\"p1.1.m1.1.4.2.4.2.9.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.4.2.4.2.12.1a\" xref=\"p1.1.m1.1.4.2.4.2.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4.2.4.2.10\" xref=\"p1.1.m1.1.4.2.4.2.10.cmml\">c<\/mi>\n <\/mrow>\n <\/mrow>\n <\/msqrt>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.4.3\" xref=\"p1.1.m1.1.4.3.cmml\">\n <mn id=\"p1.1.m1.1.4.3.1\" xref=\"p1.1.m1.1.4.3.1.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.4.3.3\" xref=\"p1.1.m1.1.4.3.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4.3.2\" xref=\"p1.1.m1.1.4.3.2.cmml\">a<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <eq id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc65<\/ci>\n <list id=\"p1.1.m1.1.2.1.4.cmml\" xref=\"p1.1.m1.1.2.1\">\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">2<\/cn>\n <\/list>\n <\/apply>\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <divide id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <apply id=\"p1.1.m1.1.4.2.cmml\" xref=\"p1.1.m1.1.4.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.4.2.3.cmml\" xref=\"p1.1.m1.1.4.2.3\">plus-or-minus<\/csymbol>\n <apply id=\"p1.1.m1.1.4.2.5.cmml\" xref=\"p1.1.m1.1.4.2.5\">\n <minus id=\"p1.1.m1.1.4.2.1.cmml\" xref=\"p1.1.m1.1.4.2.1\"\/>\n <ci id=\"p1.1.m1.1.4.2.2.cmml\" xref=\"p1.1.m1.1.4.2.2\">\ud835\udc4f<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.4.2.4.cmml\" xref=\"p1.1.m1.1.4.2.4\">\n <root id=\"p1.1.m1.1.4.2.4a.cmml\" xref=\"p1.1.m1.1.4.2.4\"\/>\n <apply id=\"p1.1.m1.1.4.2.4.2.cmml\" xref=\"p1.1.m1.1.4.2.4.2\">\n <minus id=\"p1.1.m1.1.4.2.4.2.7.cmml\" xref=\"p1.1.m1.1.4.2.4.2.7\"\/>\n <apply id=\"p1.1.m1.1.4.2.4.2.11.cmml\" xref=\"p1.1.m1.1.4.2.4.2.11\">\n <times id=\"p1.1.m1.1.4.2.4.2.11.1.cmml\" xref=\"p1.1.m1.1.4.2.4.2.11.1\"\/>\n <ci id=\"p1.1.m1.1.4.2.4.2.1b.cmml\" xref=\"p1.1.m1.1.4.2.4.2.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.4.2.4.2.1.cmml\" xref=\"p1.1.m1.1.4.2.4.2.1\">\n <mtext id=\"p1.1.m1.1.4.2.4.2.1a.cmml\" xref=\"p1.1.m1.1.4.2.4.2.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.4.2.4.2.2.cmml\" xref=\"p1.1.m1.1.4.2.4.2.2\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.4.2.4.2.3.cmml\" xref=\"p1.1.m1.1.4.2.4.2.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.2.4.2.4.cmml\" xref=\"p1.1.m1.1.4.2.4.2.4\">\ud835\udc51<\/ci>\n <apply id=\"p1.1.m1.1.4.2.4.2.11.2.cmml\" xref=\"p1.1.m1.1.4.2.4.2.11.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.4.2.4.2.11.2.1.cmml\" xref=\"p1.1.m1.1.4.2.4.2.11.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.2.4.2.5.cmml\" xref=\"p1.1.m1.1.4.2.4.2.5\">\ud835\udc4f<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.2.4.2.6.1.cmml\" xref=\"p1.1.m1.1.4.2.4.2.6.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.4.2.4.2.12.cmml\" xref=\"p1.1.m1.1.4.2.4.2.12\">\n <times id=\"p1.1.m1.1.4.2.4.2.12.1.cmml\" xref=\"p1.1.m1.1.4.2.4.2.12.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.2.4.2.8.cmml\" xref=\"p1.1.m1.1.4.2.4.2.8\">4<\/cn>\n <ci id=\"p1.1.m1.1.4.2.4.2.9.cmml\" xref=\"p1.1.m1.1.4.2.4.2.9\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.2.4.2.10.cmml\" xref=\"p1.1.m1.1.4.2.4.2.10\">\ud835\udc50<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.4.3.cmml\" xref=\"p1.1.m1.1.4.3\">\n <times id=\"p1.1.m1.1.4.3.3.cmml\" xref=\"p1.1.m1.1.4.3.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.3.1.cmml\" xref=\"p1.1.m1.1.4.3.1\">2<\/cn>\n <ci id=\"p1.1.m1.1.4.3.2.cmml\" xref=\"p1.1.m1.1.4.3.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle x_{1,2}=\\frac{-b\\pm\\sqrt{\\color{Red}b^{2}-4ac}}{2%\na}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "e^{i \\pi} + 1 = 0",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle e^{i\\pi }+1=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mi>π<!-- \u03c0 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle e^{i\\pi }+1=0}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle e^{i\\pi}+1=0}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mrow id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\n <msup id=\"p1.1.m1.1.7.1.1\" xref=\"p1.1.m1.1.7.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">e<\/mi>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">\u03c0<\/mi>\n <\/mrow>\n <\/msup>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">1<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <eq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <apply id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">\n <plus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.7.1.1.cmml\" xref=\"p1.1.m1.1.7.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.1.1.1.cmml\" xref=\"p1.1.m1.1.7.1.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <times id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\ud835\udf0b<\/ci>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">1<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle e^{i\\pi}+1=0}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{orange}e^{i \\pi} + 1 = 0",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\definecolor {orange}{rgb}{1,0.6470588235294118,0}\\pagecolor {orange}e^{i\\pi }+1=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mi>π<!-- \u03c0 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\definecolor {orange}{rgb}{1,0.6470588235294118,0}\\pagecolor {orange}e^{i\\pi }+1=0}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{% orange}e^{i\\pi}+1=0}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.33\" xref=\"p1.1.m1.1.33.cmml\">\n <mrow id=\"p1.1.m1.1.33.1\" xref=\"p1.1.m1.1.33.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.33.1.2\" xref=\"p1.1.m1.1.33.1.2.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\definecolor<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.33.1.2.1\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1a\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1b\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1c\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1d\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1e\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1f\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1g\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1h\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1i\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mn id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">255<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.33.1.1.cmml\">,<\/mo>\n <mn id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">165<\/mn>\n <mo id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.33.1.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.33.1.3\" xref=\"p1.1.m1.1.33.1.3.cmml\">\n <mrow id=\"p1.1.m1.1.33.1.3.1\" xref=\"p1.1.m1.1.33.1.3.1.cmml\">\n <mn id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">0<\/mn>\n <mo id=\"p1.1.m1.1.33.1.3.1.1\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20b.cmml\">\n <mtext id=\"p1.1.m1.1.20a\" xref=\"p1.1.m1.1.20b.cmml\">\\pagecolor<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.33.1.3.1.1a\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1b\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1c\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1d\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1e\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.25.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1f\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1g\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.33.1.3.1.2\" xref=\"p1.1.m1.1.33.1.3.1.2.cmml\">\n <mi id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.27.cmml\">e<\/mi>\n <mrow id=\"p1.1.m1.1.28.1\" xref=\"p1.1.m1.1.28.1.cmml\">\n <mi id=\"p1.1.m1.1.28.1.1\" xref=\"p1.1.m1.1.28.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.28.1.3\" xref=\"p1.1.m1.1.28.1.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.28.1.2\" xref=\"p1.1.m1.1.28.1.2.cmml\">\u03c0<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.29.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.30\" xref=\"p1.1.m1.1.30.cmml\">1<\/mn>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.31.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.32\" xref=\"p1.1.m1.1.32.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.33.cmml\" xref=\"p1.1.m1.1.33\">\n <eq id=\"p1.1.m1.1.31.cmml\" xref=\"p1.1.m1.1.31\"\/>\n <list id=\"p1.1.m1.1.33.1.1.cmml\" xref=\"p1.1.m1.1.33.1\">\n <apply id=\"p1.1.m1.1.33.1.2.cmml\" xref=\"p1.1.m1.1.33.1.2\">\n <times id=\"p1.1.m1.1.33.1.2.1.cmml\" xref=\"p1.1.m1.1.33.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\definecolor<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc35<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">255<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">165<\/cn>\n <apply id=\"p1.1.m1.1.33.1.3.cmml\" xref=\"p1.1.m1.1.33.1.3\">\n <plus id=\"p1.1.m1.1.29.cmml\" xref=\"p1.1.m1.1.29\"\/>\n <apply id=\"p1.1.m1.1.33.1.3.1.cmml\" xref=\"p1.1.m1.1.33.1.3.1\">\n <times id=\"p1.1.m1.1.33.1.3.1.1.cmml\" xref=\"p1.1.m1.1.33.1.3.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">0<\/cn>\n <ci id=\"p1.1.m1.1.20b.cmml\" xref=\"p1.1.m1.1.20\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">\n <mtext id=\"p1.1.m1.1.20a.cmml\" xref=\"p1.1.m1.1.20\">\\pagecolor<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.25.cmml\" xref=\"p1.1.m1.1.25\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.26.cmml\" xref=\"p1.1.m1.1.26\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.33.1.3.1.2.cmml\" xref=\"p1.1.m1.1.33.1.3.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.33.1.3.1.2.1.cmml\" xref=\"p1.1.m1.1.33.1.3.1.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.27.cmml\" xref=\"p1.1.m1.1.27\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.28.1.cmml\" xref=\"p1.1.m1.1.28.1\">\n <times id=\"p1.1.m1.1.28.1.3.cmml\" xref=\"p1.1.m1.1.28.1.3\"\/>\n <ci id=\"p1.1.m1.1.28.1.1.cmml\" xref=\"p1.1.m1.1.28.1.1\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.28.1.2.cmml\" xref=\"p1.1.m1.1.28.1.2\">\ud835\udf0b<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.30.cmml\" xref=\"p1.1.m1.1.30\">1<\/cn>\n <\/apply>\n <\/list>\n <cn type=\"integer\" id=\"p1.1.m1.1.32.cmml\" xref=\"p1.1.m1.1.32\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{%\norange}e^{i\\pi}+1=0}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "e^{i \\pi} + 1 = 0\\,\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle e^{i\\pi }+1=0\\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mi>π<!-- \u03c0 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle e^{i\\pi }+1=0\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle e^{i\\pi}+1=0\\,\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mrow id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n <msup id=\"p1.1.m1.1.9.1.1\" xref=\"p1.1.m1.1.9.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">e<\/mi>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">\u03c0<\/mi>\n <\/mrow>\n <\/msup>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">1<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <eq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n <plus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.1.1.1.cmml\" xref=\"p1.1.m1.1.9.1.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <times id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\ud835\udf0b<\/ci>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">1<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle e^{i\\pi}+1=0\\,\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{orange}e^{i \\pi} + 1 = 0",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\definecolor {orange}{rgb}{1,0.6470588235294118,0}\\pagecolor {orange}e^{i\\pi }+1=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mi>π<!-- \u03c0 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\definecolor {orange}{rgb}{1,0.6470588235294118,0}\\pagecolor {orange}e^{i\\pi }+1=0}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{% orange}e^{i\\pi}+1=0}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.33\" xref=\"p1.1.m1.1.33.cmml\">\n <mrow id=\"p1.1.m1.1.33.1\" xref=\"p1.1.m1.1.33.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.33.1.2\" xref=\"p1.1.m1.1.33.1.2.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\definecolor<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.33.1.2.1\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1a\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1b\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1c\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1d\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1e\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1f\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1g\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1h\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1i\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mn id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">255<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.33.1.1.cmml\">,<\/mo>\n <mn id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">165<\/mn>\n <mo id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.33.1.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.33.1.3\" xref=\"p1.1.m1.1.33.1.3.cmml\">\n <mrow id=\"p1.1.m1.1.33.1.3.1\" xref=\"p1.1.m1.1.33.1.3.1.cmml\">\n <mn id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">0<\/mn>\n <mo id=\"p1.1.m1.1.33.1.3.1.1\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20b.cmml\">\n <mtext id=\"p1.1.m1.1.20a\" xref=\"p1.1.m1.1.20b.cmml\">\\pagecolor<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.33.1.3.1.1a\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1b\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1c\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1d\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1e\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.25.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1f\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1g\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.33.1.3.1.2\" xref=\"p1.1.m1.1.33.1.3.1.2.cmml\">\n <mi id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.27.cmml\">e<\/mi>\n <mrow id=\"p1.1.m1.1.28.1\" xref=\"p1.1.m1.1.28.1.cmml\">\n <mi id=\"p1.1.m1.1.28.1.1\" xref=\"p1.1.m1.1.28.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.28.1.3\" xref=\"p1.1.m1.1.28.1.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.28.1.2\" xref=\"p1.1.m1.1.28.1.2.cmml\">\u03c0<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.29.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.30\" xref=\"p1.1.m1.1.30.cmml\">1<\/mn>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.31.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.32\" xref=\"p1.1.m1.1.32.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.33.cmml\" xref=\"p1.1.m1.1.33\">\n <eq id=\"p1.1.m1.1.31.cmml\" xref=\"p1.1.m1.1.31\"\/>\n <list id=\"p1.1.m1.1.33.1.1.cmml\" xref=\"p1.1.m1.1.33.1\">\n <apply id=\"p1.1.m1.1.33.1.2.cmml\" xref=\"p1.1.m1.1.33.1.2\">\n <times id=\"p1.1.m1.1.33.1.2.1.cmml\" xref=\"p1.1.m1.1.33.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\definecolor<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc35<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">255<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">165<\/cn>\n <apply id=\"p1.1.m1.1.33.1.3.cmml\" xref=\"p1.1.m1.1.33.1.3\">\n <plus id=\"p1.1.m1.1.29.cmml\" xref=\"p1.1.m1.1.29\"\/>\n <apply id=\"p1.1.m1.1.33.1.3.1.cmml\" xref=\"p1.1.m1.1.33.1.3.1\">\n <times id=\"p1.1.m1.1.33.1.3.1.1.cmml\" xref=\"p1.1.m1.1.33.1.3.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">0<\/cn>\n <ci id=\"p1.1.m1.1.20b.cmml\" xref=\"p1.1.m1.1.20\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">\n <mtext id=\"p1.1.m1.1.20a.cmml\" xref=\"p1.1.m1.1.20\">\\pagecolor<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.25.cmml\" xref=\"p1.1.m1.1.25\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.26.cmml\" xref=\"p1.1.m1.1.26\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.33.1.3.1.2.cmml\" xref=\"p1.1.m1.1.33.1.3.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.33.1.3.1.2.1.cmml\" xref=\"p1.1.m1.1.33.1.3.1.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.27.cmml\" xref=\"p1.1.m1.1.27\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.28.1.cmml\" xref=\"p1.1.m1.1.28.1\">\n <times id=\"p1.1.m1.1.28.1.3.cmml\" xref=\"p1.1.m1.1.28.1.3\"\/>\n <ci id=\"p1.1.m1.1.28.1.1.cmml\" xref=\"p1.1.m1.1.28.1.1\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.28.1.2.cmml\" xref=\"p1.1.m1.1.28.1.2\">\ud835\udf0b<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.30.cmml\" xref=\"p1.1.m1.1.30\">1<\/cn>\n <\/apply>\n <\/list>\n <cn type=\"integer\" id=\"p1.1.m1.1.32.cmml\" xref=\"p1.1.m1.1.32\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{%\norange}e^{i\\pi}+1=0}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "e^{i \\pi} + 1 = 0",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle e^{i\\pi }+1=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mi>π<!-- \u03c0 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle e^{i\\pi }+1=0}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle e^{i\\pi}+1=0}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mrow id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\n <msup id=\"p1.1.m1.1.7.1.1\" xref=\"p1.1.m1.1.7.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">e<\/mi>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">\u03c0<\/mi>\n <\/mrow>\n <\/msup>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">1<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <eq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <apply id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">\n <plus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.7.1.1.cmml\" xref=\"p1.1.m1.1.7.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.1.1.1.cmml\" xref=\"p1.1.m1.1.7.1.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <times id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\ud835\udf0b<\/ci>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">1<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle e^{i\\pi}+1=0}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{orange}e^{i \\pi} + 1 = 0",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\definecolor {orange}{rgb}{1,0.6470588235294118,0}\\pagecolor {orange}e^{i\\pi }+1=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mi>π<!-- \u03c0 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\definecolor {orange}{rgb}{1,0.6470588235294118,0}\\pagecolor {orange}e^{i\\pi }+1=0}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{% orange}e^{i\\pi}+1=0}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.33\" xref=\"p1.1.m1.1.33.cmml\">\n <mrow id=\"p1.1.m1.1.33.1\" xref=\"p1.1.m1.1.33.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.33.1.2\" xref=\"p1.1.m1.1.33.1.2.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\definecolor<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.33.1.2.1\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1a\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1b\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1c\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1d\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1e\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1f\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1g\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1h\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.33.1.2.1i\" xref=\"p1.1.m1.1.33.1.2.1.cmml\">\u2062<\/mo>\n <mn id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">255<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.33.1.1.cmml\">,<\/mo>\n <mn id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">165<\/mn>\n <mo id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.33.1.1.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.33.1.3\" xref=\"p1.1.m1.1.33.1.3.cmml\">\n <mrow id=\"p1.1.m1.1.33.1.3.1\" xref=\"p1.1.m1.1.33.1.3.1.cmml\">\n <mn id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">0<\/mn>\n <mo id=\"p1.1.m1.1.33.1.3.1.1\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20b.cmml\">\n <mtext id=\"p1.1.m1.1.20a\" xref=\"p1.1.m1.1.20b.cmml\">\\pagecolor<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.33.1.3.1.1a\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1b\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1c\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1d\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1e\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.25.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1f\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.33.1.3.1.1g\" xref=\"p1.1.m1.1.33.1.3.1.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.33.1.3.1.2\" xref=\"p1.1.m1.1.33.1.3.1.2.cmml\">\n <mi id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.27.cmml\">e<\/mi>\n <mrow id=\"p1.1.m1.1.28.1\" xref=\"p1.1.m1.1.28.1.cmml\">\n <mi id=\"p1.1.m1.1.28.1.1\" xref=\"p1.1.m1.1.28.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.28.1.3\" xref=\"p1.1.m1.1.28.1.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.28.1.2\" xref=\"p1.1.m1.1.28.1.2.cmml\">\u03c0<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.29.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.30\" xref=\"p1.1.m1.1.30.cmml\">1<\/mn>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.31.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.32\" xref=\"p1.1.m1.1.32.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.33.cmml\" xref=\"p1.1.m1.1.33\">\n <eq id=\"p1.1.m1.1.31.cmml\" xref=\"p1.1.m1.1.31\"\/>\n <list id=\"p1.1.m1.1.33.1.1.cmml\" xref=\"p1.1.m1.1.33.1\">\n <apply id=\"p1.1.m1.1.33.1.2.cmml\" xref=\"p1.1.m1.1.33.1.2\">\n <times id=\"p1.1.m1.1.33.1.2.1.cmml\" xref=\"p1.1.m1.1.33.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\definecolor<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc35<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">255<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">165<\/cn>\n <apply id=\"p1.1.m1.1.33.1.3.cmml\" xref=\"p1.1.m1.1.33.1.3\">\n <plus id=\"p1.1.m1.1.29.cmml\" xref=\"p1.1.m1.1.29\"\/>\n <apply id=\"p1.1.m1.1.33.1.3.1.cmml\" xref=\"p1.1.m1.1.33.1.3.1\">\n <times id=\"p1.1.m1.1.33.1.3.1.1.cmml\" xref=\"p1.1.m1.1.33.1.3.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">0<\/cn>\n <ci id=\"p1.1.m1.1.20b.cmml\" xref=\"p1.1.m1.1.20\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">\n <mtext id=\"p1.1.m1.1.20a.cmml\" xref=\"p1.1.m1.1.20\">\\pagecolor<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.25.cmml\" xref=\"p1.1.m1.1.25\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.26.cmml\" xref=\"p1.1.m1.1.26\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.33.1.3.1.2.cmml\" xref=\"p1.1.m1.1.33.1.3.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.33.1.3.1.2.1.cmml\" xref=\"p1.1.m1.1.33.1.3.1.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.27.cmml\" xref=\"p1.1.m1.1.27\">\ud835\udc52<\/ci>\n <apply id=\"p1.1.m1.1.28.1.cmml\" xref=\"p1.1.m1.1.28.1\">\n <times id=\"p1.1.m1.1.28.1.3.cmml\" xref=\"p1.1.m1.1.28.1.3\"\/>\n <ci id=\"p1.1.m1.1.28.1.1.cmml\" xref=\"p1.1.m1.1.28.1.1\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.28.1.2.cmml\" xref=\"p1.1.m1.1.28.1.2\">\ud835\udf0b<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.30.cmml\" xref=\"p1.1.m1.1.30\">1<\/cn>\n <\/apply>\n <\/list>\n <cn type=\"integer\" id=\"p1.1.m1.1.32.cmml\" xref=\"p1.1.m1.1.32\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{%\norange}e^{i\\pi}+1=0}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Apricot}\\text{Apricot}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Apricot}{\\text{Apricot}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#FBB982\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Apricot<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Apricot}{\\text{Apricot}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Apricot}\\text{Apricot}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">A<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">p<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.10.1g\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9a.cmml\">Apricot<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc34<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5d<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.9a.cmml\" xref=\"p1.1.m1.1.9\">\n <mtext id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">Apricot<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Apricot}\\text{Apricot}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Aquamarine}\\text{Aquamarine}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Aquamarine}{\\text{Aquamarine}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00B5BE\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Aquamarine<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Aquamarine}{\\text{Aquamarine}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Aquamarine}\\text{Aquamarine}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.13.1\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">A<\/mi>\n <mo id=\"p1.1.m1.1.13.1a\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">q<\/mi>\n <mo id=\"p1.1.m1.1.13.1b\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.13.1c\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.13.1d\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">m<\/mi>\n <mo id=\"p1.1.m1.1.13.1e\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.13.1f\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.13.1g\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.13.1h\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.13.1i\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.13.1j\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12a.cmml\">Aquamarine<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\n <times id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc34<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5a<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.12a.cmml\" xref=\"p1.1.m1.1.12\">\n <mtext id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">Aquamarine<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Aquamarine}\\text{Aquamarine}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Bittersweet}\\text{Bittersweet}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Bittersweet}{\\text{Bittersweet}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#C04F17\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Bittersweet<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Bittersweet}{\\text{Bittersweet}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Bittersweet}\\text{Bittersweet}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.14.1a\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.14.1b\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.14.1c\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.14.1d\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1e\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.14.1f\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">s<\/mi>\n <mo id=\"p1.1.m1.1.14.1g\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">w<\/mi>\n <mo id=\"p1.1.m1.1.14.1h\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1i\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1j\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.14.1k\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13a.cmml\">Bittersweet<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\n <times id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc60<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc64<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.13a.cmml\" xref=\"p1.1.m1.1.13\">\n <mtext id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">Bittersweet<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Bittersweet}\\text{Bittersweet}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Black}\\text{Black}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Black}{\\text{Black}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#221E1F\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Black<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Black}{\\text{Black}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Black}\\text{Black}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.8.1a\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.8.1b\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.8.1c\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.8.1d\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.8.1e\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7a.cmml\">Black<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <times id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc58<\/ci>\n <ci id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\">\n <mtext id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">Black<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Black}\\text{Black}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Blue}\\text{Blue}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Blue}{\\text{Blue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#2D2F92\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Blue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Blue}{\\text{Blue}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Blue}\\text{Blue}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.7.1a\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.7.1b\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.7.1c\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.7.1d\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6a.cmml\">Blue<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <times id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.6a.cmml\" xref=\"p1.1.m1.1.6\">\n <mtext id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">Blue<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Blue}\\text{Blue}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{BlueGreen}\\text{BlueGreen}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {BlueGreen}{\\text{BlueGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00B3B8\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>BlueGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {BlueGreen}{\\text{BlueGreen}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{BlueGreen}\\text{BlueGreen}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">BlueGreen<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">BlueGreen<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{BlueGreen}\\text{BlueGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{BlueViolet}\\text{BlueViolet}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {BlueViolet}{\\text{BlueViolet}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#473992\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>BlueViolet<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {BlueViolet}{\\text{BlueViolet}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{BlueViolet}\\text{BlueViolet}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.13.1\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.13.1a\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.13.1b\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.13.1c\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.13.1d\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">V<\/mi>\n <mo id=\"p1.1.m1.1.13.1e\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.13.1f\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.13.1g\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.13.1h\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.13.1i\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.13.1j\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12a.cmml\">BlueViolet<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\n <times id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc49<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.12a.cmml\" xref=\"p1.1.m1.1.12\">\n <mtext id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">BlueViolet<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{BlueViolet}\\text{BlueViolet}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{BrickRed}\\text{BrickRed}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {BrickRed}{\\text{BrickRed}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#B6321C\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>BrickRed<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {BrickRed}{\\text{BrickRed}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{BrickRed}\\text{BrickRed}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.11.1h\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10a.cmml\">BrickRed<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc58<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.10a.cmml\" xref=\"p1.1.m1.1.10\">\n <mtext id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">BrickRed<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{BrickRed}\\text{BrickRed}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Brown}\\text{Brown}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Brown}{\\text{Brown}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#792500\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Brown<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Brown}{\\text{Brown}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Brown}\\text{Brown}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.8.1a\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.8.1b\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.8.1c\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">w<\/mi>\n <mo id=\"p1.1.m1.1.8.1d\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.8.1e\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7a.cmml\">Brown<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <times id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc64<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\">\n <mtext id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">Brown<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Brown}\\text{Brown}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{BurntOrange}\\text{BurntOrange}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {BurntOrange}{\\text{BurntOrange}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F7921D\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>BurntOrange<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {BurntOrange}{\\text{BurntOrange}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{BurntOrange}\\text{BurntOrange}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.14.1a\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.14.1b\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.14.1c\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.14.1d\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.14.1e\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">O<\/mi>\n <mo id=\"p1.1.m1.1.14.1f\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.14.1g\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.14.1h\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.14.1i\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.14.1j\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1k\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13a.cmml\">BurntOrange<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\n <times id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc42<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.13a.cmml\" xref=\"p1.1.m1.1.13\">\n <mtext id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">BurntOrange<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{BurntOrange}\\text{BurntOrange}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{CadetBlue}\\text{CadetBlue}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {CadetBlue}{\\text{CadetBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#74729A\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>CadetBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {CadetBlue}{\\text{CadetBlue}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{CadetBlue}\\text{CadetBlue}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">C<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">CadetBlue<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc36<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">CadetBlue<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{CadetBlue}\\text{CadetBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{CarnationPink}\\text{CarnationPink}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {CarnationPink}{\\text{CarnationPink}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F282B4\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>CarnationPink<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {CarnationPink}{\\text{CarnationPink}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{CarnationPink}\\text{CarnationPink}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.16.1\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">C<\/mi>\n <mo id=\"p1.1.m1.1.16.1a\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.16.1b\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.16.1c\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.16.1d\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.16.1e\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.16.1f\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.16.1g\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.16.1h\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.16.1i\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">P<\/mi>\n <mo id=\"p1.1.m1.1.16.1j\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.16.1k\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.16.1l\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.16.1m\" xref=\"p1.1.m1.1.16.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15a.cmml\">CarnationPink<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">\n <times id=\"p1.1.m1.1.16.1.cmml\" xref=\"p1.1.m1.1.16.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc36<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc43<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc58<\/ci>\n <ci id=\"p1.1.m1.1.15a.cmml\" xref=\"p1.1.m1.1.15\">\n <mtext id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">CarnationPink<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{CarnationPink}\\text{CarnationPink}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Cerulean}\\text{Cerulean}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Cerulean}{\\text{Cerulean}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00A2E3\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Cerulean<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Cerulean}{\\text{Cerulean}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Cerulean}\\text{Cerulean}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">C<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.11.1h\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10a.cmml\">Cerulean<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc36<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.10a.cmml\" xref=\"p1.1.m1.1.10\">\n <mtext id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">Cerulean<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Cerulean}\\text{Cerulean}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{CornflowerBlue}\\text{CornflowerBlue}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {CornflowerBlue}{\\text{CornflowerBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#41B0E4\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>CornflowerBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {CornflowerBlue}{\\text{CornflowerBlue}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{CornflowerBlue}\\text{CornflowerBlue}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.17.1\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">C<\/mi>\n <mo id=\"p1.1.m1.1.17.1a\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.17.1b\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.17.1c\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.17.1d\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.17.1e\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.17.1f\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.17.1g\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">w<\/mi>\n <mo id=\"p1.1.m1.1.17.1h\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.17.1i\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.17.1j\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.17.1k\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.17.1l\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.17.1m\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.17.1n\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16a.cmml\">CornflowerBlue<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\n <times id=\"p1.1.m1.1.17.1.cmml\" xref=\"p1.1.m1.1.17.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc36<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc64<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.16a.cmml\" xref=\"p1.1.m1.1.16\">\n <mtext id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">CornflowerBlue<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{CornflowerBlue}\\text{CornflowerBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Cyan}\\text{Cyan}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Cyan}{\\text{Cyan}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00AEEF\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Cyan<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Cyan}{\\text{Cyan}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Cyan}\\text{Cyan}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">C<\/mi>\n <mo id=\"p1.1.m1.1.7.1a\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.7.1b\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.7.1c\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.7.1d\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6a.cmml\">Cyan<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <times id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc36<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.6a.cmml\" xref=\"p1.1.m1.1.6\">\n <mtext id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">Cyan<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Cyan}\\text{Cyan}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Dandelion}\\text{Dandelion}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Dandelion}{\\text{Dandelion}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#FDBC42\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Dandelion<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Dandelion}{\\text{Dandelion}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Dandelion}\\text{Dandelion}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">D<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">Dandelion<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc37<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">Dandelion<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Dandelion}\\text{Dandelion}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{DarkOrchid}\\text{DarkOrchid}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {DarkOrchid}{\\text{DarkOrchid}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#A4538A\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>DarkOrchid<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {DarkOrchid}{\\text{DarkOrchid}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{DarkOrchid}\\text{DarkOrchid}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.13.1\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">D<\/mi>\n <mo id=\"p1.1.m1.1.13.1a\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.13.1b\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.13.1c\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.13.1d\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">O<\/mi>\n <mo id=\"p1.1.m1.1.13.1e\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.13.1f\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.13.1g\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.13.1h\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.13.1i\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.13.1j\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12a.cmml\">DarkOrchid<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\n <times id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc37<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc58<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc42<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u210e<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.12a.cmml\" xref=\"p1.1.m1.1.12\">\n <mtext id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">DarkOrchid<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{DarkOrchid}\\text{DarkOrchid}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Emerald}\\text{Emerald}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Emerald}{\\text{Emerald}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00A99D\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Emerald<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Emerald}{\\text{Emerald}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Emerald}\\text{Emerald}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">E<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">m<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.10.1g\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9a.cmml\">Emerald<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc38<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5a<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.9a.cmml\" xref=\"p1.1.m1.1.9\">\n <mtext id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">Emerald<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Emerald}\\text{Emerald}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{ForestGreen}\\text{ForestGreen}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {ForestGreen}{\\text{ForestGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#009B55\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>ForestGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {ForestGreen}{\\text{ForestGreen}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{ForestGreen}\\text{ForestGreen}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">F<\/mi>\n <mo id=\"p1.1.m1.1.14.1a\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.14.1b\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.14.1c\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1d\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">s<\/mi>\n <mo id=\"p1.1.m1.1.14.1e\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.14.1f\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.14.1g\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.14.1h\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1i\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1j\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.14.1k\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13a.cmml\">ForestGreen<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\n <times id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc39<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc60<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.13a.cmml\" xref=\"p1.1.m1.1.13\">\n <mtext id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">ForestGreen<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{ForestGreen}\\text{ForestGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Fuchsia}\\text{Fuchsia}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Fuchsia}{\\text{Fuchsia}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#8C368C\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Fuchsia<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Fuchsia}{\\text{Fuchsia}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Fuchsia}\\text{Fuchsia}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">F<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">s<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.10.1g\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9a.cmml\">Fuchsia<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc39<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u210e<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc60<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.9a.cmml\" xref=\"p1.1.m1.1.9\">\n <mtext id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">Fuchsia<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Fuchsia}\\text{Fuchsia}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Goldenrod}\\text{Goldenrod}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Goldenrod}{\\text{Goldenrod}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#FFDF42\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Goldenrod<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Goldenrod}{\\text{Goldenrod}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Goldenrod}\\text{Goldenrod}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">Goldenrod<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">Goldenrod<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Goldenrod}\\text{Goldenrod}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Gray}\\text{Gray}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Gray}{\\text{Gray}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#949698\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Gray<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Gray}{\\text{Gray}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Gray}\\text{Gray}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.7.1a\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.7.1b\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.7.1c\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.7.1d\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6a.cmml\">Gray<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <times id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.6a.cmml\" xref=\"p1.1.m1.1.6\">\n <mtext id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">Gray<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Gray}\\text{Gray}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Green}\\text{Green}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Green}{\\text{Green}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00A64F\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Green<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Green}{\\text{Green}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Green}\\text{Green}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.8.1a\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.8.1b\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.8.1c\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.8.1d\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.8.1e\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7a.cmml\">Green<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <times id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\">\n <mtext id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">Green<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Green}\\text{Green}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{GreenYellow}\\text{GreenYellow}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {GreenYellow}{\\text{GreenYellow}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#DFE674\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>GreenYellow<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {GreenYellow}{\\text{GreenYellow}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{GreenYellow}\\text{GreenYellow}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.14.1a\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.14.1b\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1c\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1d\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.14.1e\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">Y<\/mi>\n <mo id=\"p1.1.m1.1.14.1f\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1g\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.14.1h\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.14.1i\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.14.1j\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">w<\/mi>\n <mo id=\"p1.1.m1.1.14.1k\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13a.cmml\">GreenYellow<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\n <times id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc4c<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc64<\/ci>\n <ci id=\"p1.1.m1.1.13a.cmml\" xref=\"p1.1.m1.1.13\">\n <mtext id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">GreenYellow<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{GreenYellow}\\text{GreenYellow}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{JungleGreen}\\text{JungleGreen}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {JungleGreen}{\\text{JungleGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00A99A\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>JungleGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {JungleGreen}{\\text{JungleGreen}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{JungleGreen}\\text{JungleGreen}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">J<\/mi>\n <mo id=\"p1.1.m1.1.14.1a\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.14.1b\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.14.1c\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.14.1d\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.14.1e\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1f\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.14.1g\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.14.1h\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1i\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1j\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.14.1k\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13a.cmml\">JungleGreen<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\n <times id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc3d<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.13a.cmml\" xref=\"p1.1.m1.1.13\">\n <mtext id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">JungleGreen<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{JungleGreen}\\text{JungleGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Lavender}\\text{Lavender}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Lavender}{\\text{Lavender}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F49EC4\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Lavender<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Lavender}{\\text{Lavender}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Lavender}\\text{Lavender}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">L<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">v<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.11.1h\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10a.cmml\">Lavender<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc3f<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc63<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.10a.cmml\" xref=\"p1.1.m1.1.10\">\n <mtext id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">Lavender<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Lavender}\\text{Lavender}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{LimeGreen}\\text{LimeGreen}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {LimeGreen}{\\text{LimeGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#8DC73E\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>LimeGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {LimeGreen}{\\text{LimeGreen}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{LimeGreen}\\text{LimeGreen}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">L<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">m<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">LimeGreen<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc3f<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5a<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">LimeGreen<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{LimeGreen}\\text{LimeGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Magenta}\\text{Magenta}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Magenta}{\\text{Magenta}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#EC008C\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Magenta<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Magenta}{\\text{Magenta}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Magenta}\\text{Magenta}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">M<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.10.1g\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9a.cmml\">Magenta<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc40<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.9a.cmml\" xref=\"p1.1.m1.1.9\">\n <mtext id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">Magenta<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Magenta}\\text{Magenta}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Mahogany}\\text{Mahogany}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Mahogany}{\\text{Mahogany}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#A9341F\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Mahogany<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Mahogany}{\\text{Mahogany}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Mahogany}\\text{Mahogany}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">M<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.11.1h\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10a.cmml\">Mahogany<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc40<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u210e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.10a.cmml\" xref=\"p1.1.m1.1.10\">\n <mtext id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">Mahogany<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Mahogany}\\text{Mahogany}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Maroon}\\text{Maroon}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Maroon}{\\text{Maroon}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#AF3235\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Maroon<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Maroon}{\\text{Maroon}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Maroon}\\text{Maroon}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">M<\/mi>\n <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.9.1c\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.9.1d\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.9.1e\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.9.1f\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8a.cmml\">Maroon<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc40<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.8a.cmml\" xref=\"p1.1.m1.1.8\">\n <mtext id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">Maroon<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Maroon}\\text{Maroon}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Melon}\\text{Melon}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Melon}{\\text{Melon}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F89E7B\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Melon<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Melon}{\\text{Melon}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Melon}\\text{Melon}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">M<\/mi>\n <mo id=\"p1.1.m1.1.8.1a\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.8.1b\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.8.1c\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.8.1d\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.8.1e\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7a.cmml\">Melon<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <times id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc40<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\">\n <mtext id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">Melon<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Melon}\\text{Melon}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{MidnightBlue}\\text{MidnightBlue}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {MidnightBlue}{\\text{MidnightBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#006795\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>MidnightBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {MidnightBlue}{\\text{MidnightBlue}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{MidnightBlue}\\text{MidnightBlue}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">M<\/mi>\n <mo id=\"p1.1.m1.1.15.1a\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.15.1b\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.15.1c\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.15.1d\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.15.1e\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.15.1f\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.15.1g\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.15.1h\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.15.1i\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.15.1j\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.15.1k\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.15.1l\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14a.cmml\">MidnightBlue<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n <times id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc40<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u210e<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.14a.cmml\" xref=\"p1.1.m1.1.14\">\n <mtext id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">MidnightBlue<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{MidnightBlue}\\text{MidnightBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Mulberry}\\text{Mulberry}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Mulberry}{\\text{Mulberry}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#A93C93\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Mulberry<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Mulberry}{\\text{Mulberry}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Mulberry}\\text{Mulberry}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">M<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">b<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.11.1h\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10a.cmml\">Mulberry<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc40<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4f<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.10a.cmml\" xref=\"p1.1.m1.1.10\">\n <mtext id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">Mulberry<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Mulberry}\\text{Mulberry}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{NavyBlue}\\text{NavyBlue}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {NavyBlue}{\\text{NavyBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#006EB8\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>NavyBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {NavyBlue}{\\text{NavyBlue}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{NavyBlue}\\text{NavyBlue}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">N<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">v<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.11.1h\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10a.cmml\">NavyBlue<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc41<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc63<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.10a.cmml\" xref=\"p1.1.m1.1.10\">\n <mtext id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">NavyBlue<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{NavyBlue}\\text{NavyBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{OliveGreen}\\text{OliveGreen}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {OliveGreen}{\\text{OliveGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#3C8031\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>OliveGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {OliveGreen}{\\text{OliveGreen}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{OliveGreen}\\text{OliveGreen}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.13.1\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">O<\/mi>\n <mo id=\"p1.1.m1.1.13.1a\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.13.1b\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.13.1c\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">v<\/mi>\n <mo id=\"p1.1.m1.1.13.1d\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.13.1e\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.13.1f\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.13.1g\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.13.1h\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.13.1i\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.13.1j\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12a.cmml\">OliveGreen<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\n <times id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc42<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc63<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.12a.cmml\" xref=\"p1.1.m1.1.12\">\n <mtext id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">OliveGreen<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{OliveGreen}\\text{OliveGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Orange}\\text{Orange}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Orange}{\\text{Orange}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F58137\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Orange<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Orange}{\\text{Orange}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Orange}\\text{Orange}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">O<\/mi>\n <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.9.1c\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.9.1d\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.9.1e\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.9.1f\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8a.cmml\">Orange<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc42<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.8a.cmml\" xref=\"p1.1.m1.1.8\">\n <mtext id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">Orange<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Orange}\\text{Orange}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{OrangeRed}\\text{OrangeRed}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {OrangeRed}{\\text{OrangeRed}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#ED135A\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>OrangeRed<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {OrangeRed}{\\text{OrangeRed}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{OrangeRed}\\text{OrangeRed}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">O<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">OrangeRed<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc42<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">OrangeRed<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{OrangeRed}\\text{OrangeRed}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Orchid}\\text{Orchid}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Orchid}{\\text{Orchid}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#AF72B0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Orchid<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Orchid}{\\text{Orchid}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Orchid}\\text{Orchid}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">O<\/mi>\n <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.9.1c\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.9.1d\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.9.1e\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.9.1f\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8a.cmml\">Orchid<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc42<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u210e<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.8a.cmml\" xref=\"p1.1.m1.1.8\">\n <mtext id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">Orchid<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Orchid}\\text{Orchid}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Peach}\\text{Peach}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Peach}{\\text{Peach}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F7965A\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Peach<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Peach}{\\text{Peach}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Peach}\\text{Peach}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">P<\/mi>\n <mo id=\"p1.1.m1.1.8.1a\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.8.1b\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.8.1c\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.8.1d\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.8.1e\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7a.cmml\">Peach<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <times id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc43<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u210e<\/ci>\n <ci id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\">\n <mtext id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">Peach<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Peach}\\text{Peach}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Periwinkle}\\text{Periwinkle}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Periwinkle}{\\text{Periwinkle}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#7977B8\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Periwinkle<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Periwinkle}{\\text{Periwinkle}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Periwinkle}\\text{Periwinkle}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.13.1\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">P<\/mi>\n <mo id=\"p1.1.m1.1.13.1a\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.13.1b\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.13.1c\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.13.1d\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">w<\/mi>\n <mo id=\"p1.1.m1.1.13.1e\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.13.1f\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.13.1g\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.13.1h\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.13.1i\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.13.1j\" xref=\"p1.1.m1.1.13.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12a.cmml\">Periwinkle<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\n <times id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc43<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc64<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc58<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.12a.cmml\" xref=\"p1.1.m1.1.12\">\n <mtext id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">Periwinkle<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Periwinkle}\\text{Periwinkle}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{PineGreen}\\text{PineGreen}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {PineGreen}{\\text{PineGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#008B72\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>PineGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {PineGreen}{\\text{PineGreen}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{PineGreen}\\text{PineGreen}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">P<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">PineGreen<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc43<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">PineGreen<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{PineGreen}\\text{PineGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Plum}\\text{Plum}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Plum}{\\text{Plum}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#92268F\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Plum<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Plum}{\\text{Plum}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Plum}\\text{Plum}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">P<\/mi>\n <mo id=\"p1.1.m1.1.7.1a\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.7.1b\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.7.1c\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">m<\/mi>\n <mo id=\"p1.1.m1.1.7.1d\" xref=\"p1.1.m1.1.7.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6a.cmml\">Plum<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <times id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc43<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5a<\/ci>\n <ci id=\"p1.1.m1.1.6a.cmml\" xref=\"p1.1.m1.1.6\">\n <mtext id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">Plum<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Plum}\\text{Plum}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{ProcessBlue}\\text{ProcessBlue}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {ProcessBlue}{\\text{ProcessBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00B0F0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>ProcessBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {ProcessBlue}{\\text{ProcessBlue}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{ProcessBlue}\\text{ProcessBlue}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">P<\/mi>\n <mo id=\"p1.1.m1.1.14.1a\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.14.1b\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.14.1c\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.14.1d\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1e\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">s<\/mi>\n <mo id=\"p1.1.m1.1.14.1f\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">s<\/mi>\n <mo id=\"p1.1.m1.1.14.1g\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.14.1h\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.14.1i\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.14.1j\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1k\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13a.cmml\">ProcessBlue<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\n <times id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc43<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc60<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc60<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.13a.cmml\" xref=\"p1.1.m1.1.13\">\n <mtext id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">ProcessBlue<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{ProcessBlue}\\text{ProcessBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Purple}\\text{Purple}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Purple}{\\text{Purple}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#99479B\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Purple<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Purple}{\\text{Purple}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Purple}\\text{Purple}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">P<\/mi>\n <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.9.1c\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">p<\/mi>\n <mo id=\"p1.1.m1.1.9.1d\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.9.1e\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.9.1f\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8a.cmml\">Purple<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc43<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5d<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.8a.cmml\" xref=\"p1.1.m1.1.8\">\n <mtext id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">Purple<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Purple}\\text{Purple}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{RawSienna}\\text{RawSienna}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {RawSienna}{\\text{RawSienna}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#974006\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>RawSienna<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {RawSienna}{\\text{RawSienna}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{RawSienna}\\text{RawSienna}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">w<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">S<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">RawSienna<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc64<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc46<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">RawSienna<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{RawSienna}\\text{RawSienna}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Red}\\text{Red}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Red}{\\text{Red}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#ED1B23\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Red<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Red}{\\text{Red}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Red}\\text{Red}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.6.1b\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.6.1c\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5a.cmml\">Red<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">Red<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Red}\\text{Red}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{RedOrange}\\text{RedOrange}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {RedOrange}{\\text{RedOrange}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F26035\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>RedOrange<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {RedOrange}{\\text{RedOrange}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{RedOrange}\\text{RedOrange}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">O<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">RedOrange<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc42<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">RedOrange<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{RedOrange}\\text{RedOrange}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{RedViolet}\\text{RedViolet}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {RedViolet}{\\text{RedViolet}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#A1246B\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>RedViolet<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {RedViolet}{\\text{RedViolet}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{RedViolet}\\text{RedViolet}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">V<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">RedViolet<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc49<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">RedViolet<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{RedViolet}\\text{RedViolet}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Rhodamine}\\text{Rhodamine}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Rhodamine}{\\text{Rhodamine}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#EF559F\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Rhodamine<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Rhodamine}{\\text{Rhodamine}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Rhodamine}\\text{Rhodamine}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">m<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">Rhodamine<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u210e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5a<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">Rhodamine<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Rhodamine}\\text{Rhodamine}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{RoyalBlue}\\text{RoyalBlue}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {RoyalBlue}{\\text{RoyalBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#0071BC\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>RoyalBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {RoyalBlue}{\\text{RoyalBlue}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{RoyalBlue}\\text{RoyalBlue}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">RoyalBlue<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">RoyalBlue<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{RoyalBlue}\\text{RoyalBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{RoyalPurple}\\text{RoyalPurple}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {RoyalPurple}{\\text{RoyalPurple}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#613F99\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>RoyalPurple<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {RoyalPurple}{\\text{RoyalPurple}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{RoyalPurple}\\text{RoyalPurple}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.14.1a\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.14.1b\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.14.1c\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.14.1d\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.14.1e\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">P<\/mi>\n <mo id=\"p1.1.m1.1.14.1f\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.14.1g\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.14.1h\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">p<\/mi>\n <mo id=\"p1.1.m1.1.14.1i\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.14.1j\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1k\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13a.cmml\">RoyalPurple<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\n <times id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc43<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc5d<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.13a.cmml\" xref=\"p1.1.m1.1.13\">\n <mtext id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">RoyalPurple<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{RoyalPurple}\\text{RoyalPurple}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{RubineRed}\\text{RubineRed}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {RubineRed}{\\text{RubineRed}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#ED017D\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>RubineRed<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {RubineRed}{\\text{RubineRed}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{RubineRed}\\text{RubineRed}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">b<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">RubineRed<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">RubineRed<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{RubineRed}\\text{RubineRed}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Salmon}\\text{Salmon}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Salmon}{\\text{Salmon}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F69289\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Salmon<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Salmon}{\\text{Salmon}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Salmon}\\text{Salmon}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">S<\/mi>\n <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.9.1c\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">m<\/mi>\n <mo id=\"p1.1.m1.1.9.1d\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.9.1e\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.9.1f\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8a.cmml\">Salmon<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc46<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5a<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.8a.cmml\" xref=\"p1.1.m1.1.8\">\n <mtext id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">Salmon<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Salmon}\\text{Salmon}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{SeaGreen}\\text{SeaGreen}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {SeaGreen}{\\text{SeaGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#3FBC9D\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>SeaGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {SeaGreen}{\\text{SeaGreen}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{SeaGreen}\\text{SeaGreen}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">S<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.11.1h\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10a.cmml\">SeaGreen<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc46<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.10a.cmml\" xref=\"p1.1.m1.1.10\">\n <mtext id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">SeaGreen<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{SeaGreen}\\text{SeaGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Sepia}\\text{Sepia}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Sepia}{\\text{Sepia}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#671800\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Sepia<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Sepia}{\\text{Sepia}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Sepia}\\text{Sepia}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">S<\/mi>\n <mo id=\"p1.1.m1.1.8.1a\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.8.1b\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">p<\/mi>\n <mo id=\"p1.1.m1.1.8.1c\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.8.1d\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.8.1e\" xref=\"p1.1.m1.1.8.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7a.cmml\">Sepia<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <times id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc46<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5d<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\">\n <mtext id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">Sepia<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Sepia}\\text{Sepia}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{SkyBlue}\\text{SkyBlue}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {SkyBlue}{\\text{SkyBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#46C5DD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>SkyBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {SkyBlue}{\\text{SkyBlue}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{SkyBlue}\\text{SkyBlue}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">S<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.10.1g\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9a.cmml\">SkyBlue<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc46<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc58<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.9a.cmml\" xref=\"p1.1.m1.1.9\">\n <mtext id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">SkyBlue<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{SkyBlue}\\text{SkyBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{SpringGreen}\\text{SpringGreen}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {SpringGreen}{\\text{SpringGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#C6DC67\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>SpringGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {SpringGreen}{\\text{SpringGreen}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{SpringGreen}\\text{SpringGreen}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">S<\/mi>\n <mo id=\"p1.1.m1.1.14.1a\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">p<\/mi>\n <mo id=\"p1.1.m1.1.14.1b\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.14.1c\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.14.1d\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.14.1e\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.14.1f\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.14.1g\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.14.1h\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1i\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1j\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.14.1k\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13a.cmml\">SpringGreen<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\n <times id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc46<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc5d<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.13a.cmml\" xref=\"p1.1.m1.1.13\">\n <mtext id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">SpringGreen<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{SpringGreen}\\text{SpringGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Tan}\\text{Tan}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Tan}{\\text{Tan}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#DA9D76\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Tan<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Tan}{\\text{Tan}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Tan}\\text{Tan}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">T<\/mi>\n <mo id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.6.1b\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.6.1c\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5a.cmml\">Tan<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc47<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.5a.cmml\" xref=\"p1.1.m1.1.5\">\n <mtext id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">Tan<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Tan}\\text{Tan}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{TealBlue}\\text{TealBlue}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {TealBlue}{\\text{TealBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00AEB3\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>TealBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {TealBlue}{\\text{TealBlue}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{TealBlue}\\text{TealBlue}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">T<\/mi>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.11.1b\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.11.1c\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.11.1d\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.11.1e\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.11.1f\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.11.1g\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.11.1h\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10a.cmml\">TealBlue<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc47<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.10a.cmml\" xref=\"p1.1.m1.1.10\">\n <mtext id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">TealBlue<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{TealBlue}\\text{TealBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Thistle}\\text{Thistle}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Thistle}{\\text{Thistle}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#D883B7\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Thistle<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Thistle}{\\text{Thistle}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Thistle}\\text{Thistle}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">T<\/mi>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.10.1b\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.10.1c\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">s<\/mi>\n <mo id=\"p1.1.m1.1.10.1d\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.10.1e\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.10.1f\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.10.1g\" xref=\"p1.1.m1.1.10.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9a.cmml\">Thistle<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <times id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc47<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\u210e<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc60<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.9a.cmml\" xref=\"p1.1.m1.1.9\">\n <mtext id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">Thistle<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Thistle}\\text{Thistle}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Turquoise}\\text{Turquoise}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Turquoise}{\\text{Turquoise}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00B4CE\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Turquoise<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Turquoise}{\\text{Turquoise}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Turquoise}\\text{Turquoise}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">T<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">q<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">s<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">Turquoise<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc47<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc5e<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc60<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">Turquoise<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Turquoise}\\text{Turquoise}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{Violet}\\text{Violet}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Violet}{\\text{Violet}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#58429B\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Violet<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Violet}{\\text{Violet}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{Violet}\\text{Violet}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">V<\/mi>\n <mo id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.9.1b\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.9.1c\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.9.1d\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.9.1e\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.9.1f\" xref=\"p1.1.m1.1.9.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8a.cmml\">Violet<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <times id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc49<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.8a.cmml\" xref=\"p1.1.m1.1.8\">\n <mtext id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">Violet<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{Violet}\\text{Violet}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{VioletRed}\\text{VioletRed}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {VioletRed}{\\text{VioletRed}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#EF58A0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>VioletRed<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {VioletRed}{\\text{VioletRed}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{VioletRed}\\text{VioletRed}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.12.1\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">V<\/mi>\n <mo id=\"p1.1.m1.1.12.1a\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.12.1b\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.12.1c\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.12.1d\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1e\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.12.1f\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">R<\/mi>\n <mo id=\"p1.1.m1.1.12.1g\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.12.1h\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.12.1i\" xref=\"p1.1.m1.1.12.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11a.cmml\">VioletRed<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <times id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc49<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc45<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.11a.cmml\" xref=\"p1.1.m1.1.11\">\n <mtext id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">VioletRed<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{VioletRed}\\text{VioletRed}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\pagecolor{Black}\\color{White}\\text{White}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\pagecolor {Black}\\color {White}{\\text{White}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#FFFFFF\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>White<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\pagecolor {Black}\\color {White}{\\text{White}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\pagecolor{Black}\\color{White}\\text{White}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\pagecolor<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.14.1a\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.14.1b\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.14.1c\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.14.1d\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.14.1e\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7b.cmml\">\n <mtext id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.14.1f\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">W<\/mi>\n <mo id=\"p1.1.m1.1.14.1g\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.14.1h\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.14.1i\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.14.1j\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1k\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13a.cmml\">White<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\n <times id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\pagecolor<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc58<\/ci>\n <ci id=\"p1.1.m1.1.7b.cmml\" xref=\"p1.1.m1.1.7\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <mtext id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc4a<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\u210e<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.13a.cmml\" xref=\"p1.1.m1.1.13\">\n <mtext id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">White<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\pagecolor{Black}\\color{White}\\text{White}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{WildStrawberry}\\text{WildStrawberry}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {WildStrawberry}{\\text{WildStrawberry}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#EE2967\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>WildStrawberry<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {WildStrawberry}{\\text{WildStrawberry}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{WildStrawberry}\\text{WildStrawberry}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.17.1\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">W<\/mi>\n <mo id=\"p1.1.m1.1.17.1a\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.17.1b\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.17.1c\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.17.1d\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">S<\/mi>\n <mo id=\"p1.1.m1.1.17.1e\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.17.1f\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.17.1g\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.17.1h\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">w<\/mi>\n <mo id=\"p1.1.m1.1.17.1i\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">b<\/mi>\n <mo id=\"p1.1.m1.1.17.1j\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.17.1k\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.17.1l\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.17.1m\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">y<\/mi>\n <mo id=\"p1.1.m1.1.17.1n\" xref=\"p1.1.m1.1.17.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16a.cmml\">WildStrawberry<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\n <times id=\"p1.1.m1.1.17.1.cmml\" xref=\"p1.1.m1.1.17.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc4a<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc56<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc46<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc61<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc64<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc4f<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\ud835\udc66<\/ci>\n <ci id=\"p1.1.m1.1.16a.cmml\" xref=\"p1.1.m1.1.16\">\n <mtext id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">WildStrawberry<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{WildStrawberry}\\text{WildStrawberry}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\pagecolor{Black}\\color{Yellow}\\text{Yellow}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\pagecolor {Black}\\color {Yellow}{\\text{Yellow}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#FFF200\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Yellow<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\pagecolor {Black}\\color {Yellow}{\\text{Yellow}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\pagecolor{Black}\\color{Yellow}\\text{Yellow}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\pagecolor<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">B<\/mi>\n <mo id=\"p1.1.m1.1.15.1a\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.15.1b\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.15.1c\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">c<\/mi>\n <mo id=\"p1.1.m1.1.15.1d\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">k<\/mi>\n <mo id=\"p1.1.m1.1.15.1e\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7b.cmml\">\n <mtext id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.15.1f\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">Y<\/mi>\n <mo id=\"p1.1.m1.1.15.1g\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.15.1h\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.15.1i\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.15.1j\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.15.1k\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">w<\/mi>\n <mo id=\"p1.1.m1.1.15.1l\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14a.cmml\">Yellow<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n <times id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\pagecolor<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc35<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc58<\/ci>\n <ci id=\"p1.1.m1.1.7b.cmml\" xref=\"p1.1.m1.1.7\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <mtext id=\"p1.1.m1.1.7a.cmml\" xref=\"p1.1.m1.1.7\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc4c<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc64<\/ci>\n <ci id=\"p1.1.m1.1.14a.cmml\" xref=\"p1.1.m1.1.14\">\n <mtext id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">Yellow<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\pagecolor{Black}\\color{Yellow}\\text{Yellow}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{YellowGreen}\\text{YellowGreen}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {YellowGreen}{\\text{YellowGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#98CC70\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>YellowGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {YellowGreen}{\\text{YellowGreen}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{YellowGreen}\\text{YellowGreen}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">Y<\/mi>\n <mo id=\"p1.1.m1.1.14.1a\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1b\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.14.1c\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.14.1d\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.14.1e\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">w<\/mi>\n <mo id=\"p1.1.m1.1.14.1f\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">G<\/mi>\n <mo id=\"p1.1.m1.1.14.1g\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.14.1h\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1i\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.14.1j\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.14.1k\" xref=\"p1.1.m1.1.14.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13a.cmml\">YellowGreen<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\n <times id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc4c<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc64<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc3a<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.13a.cmml\" xref=\"p1.1.m1.1.13\">\n <mtext id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">YellowGreen<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{YellowGreen}\\text{YellowGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\color{YellowOrange}\\text{YellowOrange}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {YellowOrange}{\\text{YellowOrange}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#FAA21A\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>YellowOrange<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {YellowOrange}{\\text{YellowOrange}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\color{YellowOrange}\\text{YellowOrange}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\color<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">Y<\/mi>\n <mo id=\"p1.1.m1.1.15.1a\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.15.1b\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.15.1c\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.15.1d\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">o<\/mi>\n <mo id=\"p1.1.m1.1.15.1e\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">w<\/mi>\n <mo id=\"p1.1.m1.1.15.1f\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">O<\/mi>\n <mo id=\"p1.1.m1.1.15.1g\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.15.1h\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.15.1i\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.15.1j\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">g<\/mi>\n <mo id=\"p1.1.m1.1.15.1k\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.15.1l\" xref=\"p1.1.m1.1.15.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14a.cmml\">YellowOrange<\/mtext>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\n <times id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\color<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc4c<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc59<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc5c<\/ci>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udc64<\/ci>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc42<\/ci>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5f<\/ci>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc54<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.14a.cmml\" xref=\"p1.1.m1.1.14\">\n <mtext id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">YellowOrange<\/mtext>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\color{YellowOrange}\\text{YellowOrange}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "a \\qquad b",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\qquad b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mspace width=\"2em\" \/>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\qquad b}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle a\\qquad b}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <mo mathvariant=\"italic\" separator=\"true\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.5.1.cmml\">\u2003\u2003<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">b<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4f<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle a\\qquad b}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "a \\quad b",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\quad b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mspace width=\"1em\" \/>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\quad b}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle a\\quad b}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <mo mathvariant=\"italic\" separator=\"true\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.5.1.cmml\">\u2003<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">b<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4f<\/ci>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle a\\quad b}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "a\\ b",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\ b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mtext> <\/mtext>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\ b}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle a\\ b}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mpadded width=\"+5pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">b<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle a\\ b}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "a \\mbox{ } b",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a{\\mbox{ }}b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mtext> <\/mtext>\n <\/mstyle>\n <\/mrow>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a{\\mbox{ }}b}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle a\\mbox{ }b}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mtext id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2a.cmml\">\u00a0<\/mtext>\n <mo id=\"p1.1.m1.1.4.1a\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">b<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u00a0<\/mtext>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle a\\mbox{ }b}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "a\\;b",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\;b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mspace width=\"thickmathspace\" \/>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\;b}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle a\\;b}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mpadded width=\"+2.8pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">b<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle a\\;b}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "a\\,b",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\,b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\,b}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle a\\,b}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">b<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle a\\,b}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "ab",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle ab}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle ab}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle ab}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">b<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <times id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle ab}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\mathit{ab}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathit {ab}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">a<\/mi>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">b<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathit {ab}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathit{ab}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udc4e\ud835\udc4f<\/mi>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc4e\ud835\udc4f<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathit{ab}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "a\\!b",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\!b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\!b}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle a\\!b}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">b<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle a\\!b}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mn>0<\/mn>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <mo>+<\/mo>\n <mn>3<\/mn>\n <mo>+<\/mo>\n <mn>4<\/mn>\n <mo>+<\/mo>\n <mn>5<\/mn>\n <mo>+<\/mo>\n <mn>6<\/mn>\n <mo>+<\/mo>\n <mn>7<\/mn>\n <mo>+<\/mo>\n <mn>8<\/mn>\n <mo>+<\/mo>\n <mn>9<\/mn>\n <mo>+<\/mo>\n <mn>10<\/mn>\n <mo>+<\/mo>\n <mn>11<\/mn>\n <mo>+<\/mo>\n <mn>12<\/mn>\n <mo>+<\/mo>\n <mn>13<\/mn>\n <mo>+<\/mo>\n <mn>14<\/mn>\n <mo>+<\/mo>\n <mn>15<\/mn>\n <mo>+<\/mo>\n <mn>16<\/mn>\n <mo>+<\/mo>\n <mn>17<\/mn>\n <mo>+<\/mo>\n <mn>18<\/mn>\n <mo>+<\/mo>\n <mn>19<\/mn>\n <mo>+<\/mo>\n <mn>20<\/mn>\n <mo>+<\/mo>\n <mo>⋯<!-- \u22ef --><\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19% +20+\\cdots}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.55\" xref=\"p1.1.m1.1.55.cmml\">\n <mn id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">0<\/mn>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">1<\/mn>\n <mo id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.2b\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">3<\/mn>\n <mo id=\"p1.1.m1.1.2c\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">4<\/mn>\n <mo id=\"p1.1.m1.1.2d\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">5<\/mn>\n <mo id=\"p1.1.m1.1.2e\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">6<\/mn>\n <mo id=\"p1.1.m1.1.2f\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">7<\/mn>\n <mo id=\"p1.1.m1.1.2g\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">8<\/mn>\n <mo id=\"p1.1.m1.1.2h\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">9<\/mn>\n <mo id=\"p1.1.m1.1.2i\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">10<\/mn>\n <mo id=\"p1.1.m1.1.2j\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.25.cmml\">11<\/mn>\n <mo id=\"p1.1.m1.1.2k\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.28.cmml\">12<\/mn>\n <mo id=\"p1.1.m1.1.2l\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.31.cmml\">13<\/mn>\n <mo id=\"p1.1.m1.1.2m\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.34\" xref=\"p1.1.m1.1.34.cmml\">14<\/mn>\n <mo id=\"p1.1.m1.1.2n\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.37\" xref=\"p1.1.m1.1.37.cmml\">15<\/mn>\n <mo id=\"p1.1.m1.1.2o\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.40\" xref=\"p1.1.m1.1.40.cmml\">16<\/mn>\n <mo id=\"p1.1.m1.1.2p\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.43\" xref=\"p1.1.m1.1.43.cmml\">17<\/mn>\n <mo id=\"p1.1.m1.1.2q\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.46\" xref=\"p1.1.m1.1.46.cmml\">18<\/mn>\n <mo id=\"p1.1.m1.1.2r\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.49\" xref=\"p1.1.m1.1.49.cmml\">19<\/mn>\n <mo id=\"p1.1.m1.1.2s\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.52\" xref=\"p1.1.m1.1.52.cmml\">20<\/mn>\n <mo id=\"p1.1.m1.1.2t\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.54\" xref=\"p1.1.m1.1.54.cmml\">\u22ef<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.55.cmml\" xref=\"p1.1.m1.1.55\">\n <plus id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">0<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">2<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">3<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">4<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">5<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">6<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">7<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">8<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">9<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">10<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.25.cmml\" xref=\"p1.1.m1.1.25\">11<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.28.cmml\" xref=\"p1.1.m1.1.28\">12<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.31.cmml\" xref=\"p1.1.m1.1.31\">13<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.34.cmml\" xref=\"p1.1.m1.1.34\">14<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.37.cmml\" xref=\"p1.1.m1.1.37\">15<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.40.cmml\" xref=\"p1.1.m1.1.40\">16<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.43.cmml\" xref=\"p1.1.m1.1.43\">17<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.46.cmml\" xref=\"p1.1.m1.1.46\">18<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.49.cmml\" xref=\"p1.1.m1.1.49\">19<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.52.cmml\" xref=\"p1.1.m1.1.52\">20<\/cn>\n <ci id=\"p1.1.m1.1.54.cmml\" xref=\"p1.1.m1.1.54\">\u22ef<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19%\n+20+\\cdots}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <mo>+<\/mo>\n <mn>3<\/mn>\n <mo>+<\/mo>\n <mn>4<\/mn>\n <mo>+<\/mo>\n <mn>5<\/mn>\n <mo>+<\/mo>\n <mn>6<\/mn>\n <mo>+<\/mo>\n <mn>7<\/mn>\n <mo>+<\/mo>\n <mn>8<\/mn>\n <mo>+<\/mo>\n <mn>9<\/mn>\n <mo>+<\/mo>\n <mn>10<\/mn>\n <mo>+<\/mo>\n <mn>11<\/mn>\n <mo>+<\/mo>\n <mn>12<\/mn>\n <mo>+<\/mo>\n <mn>13<\/mn>\n <mo>+<\/mo>\n <mn>14<\/mn>\n <mo>+<\/mo>\n <mn>15<\/mn>\n <mo>+<\/mo>\n <mn>16<\/mn>\n <mo>+<\/mo>\n <mn>17<\/mn>\n <mo>+<\/mo>\n <mn>18<\/mn>\n <mo>+<\/mo>\n <mn>19<\/mn>\n <mo>+<\/mo>\n <mn>20<\/mn>\n <mo>+<\/mo>\n <mo>⋯<!-- \u22ef --><\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots }}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19% +20+\\cdots}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.55\" xref=\"p1.1.m1.1.55.cmml\">\n <mn id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">0<\/mn>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">1<\/mn>\n <mo id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.2b\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">3<\/mn>\n <mo id=\"p1.1.m1.1.2c\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">4<\/mn>\n <mo id=\"p1.1.m1.1.2d\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">5<\/mn>\n <mo id=\"p1.1.m1.1.2e\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">6<\/mn>\n <mo id=\"p1.1.m1.1.2f\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">7<\/mn>\n <mo id=\"p1.1.m1.1.2g\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">8<\/mn>\n <mo id=\"p1.1.m1.1.2h\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">9<\/mn>\n <mo id=\"p1.1.m1.1.2i\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">10<\/mn>\n <mo id=\"p1.1.m1.1.2j\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.25.cmml\">11<\/mn>\n <mo id=\"p1.1.m1.1.2k\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.28.cmml\">12<\/mn>\n <mo id=\"p1.1.m1.1.2l\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.31.cmml\">13<\/mn>\n <mo id=\"p1.1.m1.1.2m\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.34\" xref=\"p1.1.m1.1.34.cmml\">14<\/mn>\n <mo id=\"p1.1.m1.1.2n\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.37\" xref=\"p1.1.m1.1.37.cmml\">15<\/mn>\n <mo id=\"p1.1.m1.1.2o\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.40\" xref=\"p1.1.m1.1.40.cmml\">16<\/mn>\n <mo id=\"p1.1.m1.1.2p\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.43\" xref=\"p1.1.m1.1.43.cmml\">17<\/mn>\n <mo id=\"p1.1.m1.1.2q\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.46\" xref=\"p1.1.m1.1.46.cmml\">18<\/mn>\n <mo id=\"p1.1.m1.1.2r\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.49\" xref=\"p1.1.m1.1.49.cmml\">19<\/mn>\n <mo id=\"p1.1.m1.1.2s\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.52\" xref=\"p1.1.m1.1.52.cmml\">20<\/mn>\n <mo id=\"p1.1.m1.1.2t\" xref=\"p1.1.m1.1.2.cmml\">+<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.54\" xref=\"p1.1.m1.1.54.cmml\">\u22ef<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.55.cmml\" xref=\"p1.1.m1.1.55\">\n <plus id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">0<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">2<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">3<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">4<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">5<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">6<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">7<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">8<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">9<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">10<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.25.cmml\" xref=\"p1.1.m1.1.25\">11<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.28.cmml\" xref=\"p1.1.m1.1.28\">12<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.31.cmml\" xref=\"p1.1.m1.1.31\">13<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.34.cmml\" xref=\"p1.1.m1.1.34\">14<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.37.cmml\" xref=\"p1.1.m1.1.37\">15<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.40.cmml\" xref=\"p1.1.m1.1.40\">16<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.43.cmml\" xref=\"p1.1.m1.1.43\">17<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.46.cmml\" xref=\"p1.1.m1.1.46\">18<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.49.cmml\" xref=\"p1.1.m1.1.49\">19<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.52.cmml\" xref=\"p1.1.m1.1.52\">20<\/cn>\n <ci id=\"p1.1.m1.1.54.cmml\" xref=\"p1.1.m1.1.54\">\u22ef<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19%\n+20+\\cdots}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\int_{-N}^{N} e^x\\, dx",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int _{-N}^{N}e^{x}\\,dx}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msubsup>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>−<!-- \u2212 --><\/mo>\n <mi>N<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/msubsup>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int _{-N}^{N}e^{x}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\int_{-N}^{N}e^{x}\\,dx}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n <msubsup id=\"p1.1.m1.1.9.1a\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222b<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mo id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">N<\/mi>\n <\/mrow>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">N<\/mi>\n <\/msubsup>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.9.2\" xref=\"p1.1.m1.1.9.2.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.9.2.2\" xref=\"p1.1.m1.1.9.2.2.cmml\">\n <msup id=\"p1.1.m1.1.9.2.2a\" xref=\"p1.1.m1.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">x<\/mi>\n <\/msup>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.9.2.1\" xref=\"p1.1.m1.1.9.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.9.2.3\" xref=\"p1.1.m1.1.9.2.3.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">x<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.9.1.2.cmml\" xref=\"p1.1.m1.1.9.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.1.2.1.cmml\" xref=\"p1.1.m1.1.9.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <minus id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\ud835\udc41<\/ci>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc41<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.2.cmml\" xref=\"p1.1.m1.1.9.2\">\n <times id=\"p1.1.m1.1.9.2.1.cmml\" xref=\"p1.1.m1.1.9.2.1\"\/>\n <apply id=\"p1.1.m1.1.9.2.2.cmml\" xref=\"p1.1.m1.1.9.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.9.2.2.1.cmml\" xref=\"p1.1.m1.1.9.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc52<\/ci>\n <ci id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.9.2.3.cmml\" xref=\"p1.1.m1.1.9.2.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\int_{-N}^{N}e^{x}\\,dx}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sum_{i=0}^\\infty 2^{-i}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sum _{i=0}^{\\infty }2^{-i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mn>2<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>−<!-- \u2212 --><\/mo>\n <mi>i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sum _{i=0}^{\\infty }2^{-i}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sum_{i=0}^{\\infty}2^{-i}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\n <munderover id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">0<\/mn>\n <\/mrow>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u221e<\/mi>\n <\/munderover>\n <\/mstyle>\n <msup id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mn id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">2<\/mn>\n <mrow id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo id=\"p1.1.m1.1.5.1.1\" xref=\"p1.1.m1.1.5.1.1.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.5.1.2\" xref=\"p1.1.m1.1.5.1.2.cmml\">i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.1.cmml\" xref=\"p1.1.m1.1.6.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.6.1.2.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.2.1.cmml\" xref=\"p1.1.m1.1.6.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">0<\/cn>\n <\/apply>\n <\/apply>\n <infinity id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2\">superscript<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">2<\/cn>\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n <minus id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.1.1\"\/>\n <ci id=\"p1.1.m1.1.5.1.2.cmml\" xref=\"p1.1.m1.1.5.1.2\">\ud835\udc56<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sum_{i=0}^{\\infty}2^{-i}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\text{geometric series:}\\quad \\begin{align} \\sum_{i=0}^\\infty 2^{-i}=2 \\end{align}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{geometric series:}}\\quad {\\begin{aligned}\\sum _{i=0}^{\\infty }2^{-i}=2\\end{aligned}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>geometric series:<\/mtext>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"right left right left right left right left right left right left\" rowspacing=\"3pt\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\" displaystyle=\"true\">\n <mtr>\n <mtd>\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mn>2<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>−<!-- \u2212 --><\/mo>\n <mi>i<\/mi>\n <\/mrow>\n <\/msup>\n <mo>=<\/mo>\n <mn>2<\/mn>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{geometric series:}}\\quad {\\begin{aligned}\\sum _{i=0}^{\\infty }2^{-i}=2\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\text{geometric series:}\\quad\\begin{aligned} % \\displaystyle\\sum_{i=0}^{\\infty}2^{-i}=2\\end{aligned}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mtext id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1a.cmml\">geometric series:<\/mtext>\n <mo mathvariant=\"italic\" separator=\"true\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.5.1.cmml\">\u2003<\/mo>\n <mtable id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mtr id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.3b\" xref=\"p1.1.m1.1.3.cmml\">\n <mrow id=\"p1.1.m1.1.3.1.1.1\" xref=\"p1.1.m1.1.3.1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.3.1.1.1.8\" xref=\"p1.1.m1.1.3.1.1.1.8.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.3.1.1.1.8.1\" xref=\"p1.1.m1.1.3.1.1.1.8.1.cmml\">\n <munderover id=\"p1.1.m1.1.3.1.1.1.8.1a\" xref=\"p1.1.m1.1.3.1.1.1.8.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.3.1.1.1.1\" xref=\"p1.1.m1.1.3.1.1.1.1.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.3.1.1.1.2.1\" xref=\"p1.1.m1.1.3.1.1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.3.1.1.1.2.1.1\" xref=\"p1.1.m1.1.3.1.1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.3.1.1.1.2.1.2\" xref=\"p1.1.m1.1.3.1.1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.3.1.1.1.2.1.3\" xref=\"p1.1.m1.1.3.1.1.1.2.1.3.cmml\">0<\/mn>\n <\/mrow>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3.1.1.1.3.1\" xref=\"p1.1.m1.1.3.1.1.1.3.1.cmml\">\u221e<\/mi>\n <\/munderover>\n <\/mstyle>\n <msup id=\"p1.1.m1.1.3.1.1.1.8.2\" xref=\"p1.1.m1.1.3.1.1.1.8.2.cmml\">\n <mn id=\"p1.1.m1.1.3.1.1.1.4\" xref=\"p1.1.m1.1.3.1.1.1.4.cmml\">2<\/mn>\n <mrow id=\"p1.1.m1.1.3.1.1.1.5.1\" xref=\"p1.1.m1.1.3.1.1.1.5.1.cmml\">\n <mo id=\"p1.1.m1.1.3.1.1.1.5.1.1\" xref=\"p1.1.m1.1.3.1.1.1.5.1.1.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.3.1.1.1.5.1.2\" xref=\"p1.1.m1.1.3.1.1.1.5.1.2.cmml\">i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3.1.1.1.6\" xref=\"p1.1.m1.1.3.1.1.1.6.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.3.1.1.1.7\" xref=\"p1.1.m1.1.3.1.1.1.7.cmml\">2<\/mn>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <list id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5\">\n <ci id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">geometric series:<\/mtext>\n <\/ci>\n <matrix id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <matrixrow id=\"p1.1.m1.1.3a.cmml\" xref=\"p1.1.m1.1.3\">\n <apply id=\"p1.1.m1.1.3.1.1.1.cmml\" xref=\"p1.1.m1.1.3.1.1.1\">\n <eq id=\"p1.1.m1.1.3.1.1.1.6.cmml\" xref=\"p1.1.m1.1.3.1.1.1.6\"\/>\n <apply id=\"p1.1.m1.1.3.1.1.1.8.cmml\" xref=\"p1.1.m1.1.3.1.1.1.8\">\n <apply id=\"p1.1.m1.1.3.1.1.1.8.1.cmml\" xref=\"p1.1.m1.1.3.1.1.1.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.3.1.1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.3.1.1.1.8.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.3.1.1.1.8.1.2.cmml\" xref=\"p1.1.m1.1.3.1.1.1.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.3.1.1.1.8.1.2.1.cmml\" xref=\"p1.1.m1.1.3.1.1.1.8.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.3.1.1.1.1.cmml\" xref=\"p1.1.m1.1.3.1.1.1.1\"\/>\n <apply id=\"p1.1.m1.1.3.1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.3.1.1.1.2.1\">\n <eq id=\"p1.1.m1.1.3.1.1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.3.1.1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.3.1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.3.1.1.1.2.1.1\">\ud835\udc56<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.3.1.1.1.2.1.3\">0<\/cn>\n <\/apply>\n <\/apply>\n <infinity id=\"p1.1.m1.1.3.1.1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1.1.1.3.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.1.1.1.8.2.cmml\" xref=\"p1.1.m1.1.3.1.1.1.8.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.3.1.1.1.8.2.1.cmml\" xref=\"p1.1.m1.1.3.1.1.1.8.2\">superscript<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.1.1.4.cmml\" xref=\"p1.1.m1.1.3.1.1.1.4\">2<\/cn>\n <apply id=\"p1.1.m1.1.3.1.1.1.5.1.cmml\" xref=\"p1.1.m1.1.3.1.1.1.5.1\">\n <minus id=\"p1.1.m1.1.3.1.1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.3.1.1.1.5.1.1\"\/>\n <ci id=\"p1.1.m1.1.3.1.1.1.5.1.2.cmml\" xref=\"p1.1.m1.1.3.1.1.1.5.1.2\">\ud835\udc56<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.1.1.7.cmml\" xref=\"p1.1.m1.1.3.1.1.1.7\">2<\/cn>\n <\/apply>\n <\/matrixrow>\n <\/matrix>\n <\/list>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\text{geometric series:}\\quad\\begin{aligned} %\n\\displaystyle\\sum_{i=0}^{\\infty}2^{-i}=2\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sum_{i=0}^\\infty 2^{-i}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sum _{i=0}^{\\infty }2^{-i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mn>2<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>−<!-- \u2212 --><\/mo>\n <mi>i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sum _{i=0}^{\\infty }2^{-i}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sum_{i=0}^{\\infty}2^{-i}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\n <munderover id=\"p1.1.m1.1.6.1a\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">0<\/mn>\n <\/mrow>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u221e<\/mi>\n <\/munderover>\n <\/mstyle>\n <msup id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mn id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">2<\/mn>\n <mrow id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo id=\"p1.1.m1.1.5.1.1\" xref=\"p1.1.m1.1.5.1.1.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.5.1.2\" xref=\"p1.1.m1.1.5.1.2.cmml\">i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <apply id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.1.cmml\" xref=\"p1.1.m1.1.6.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.6.1.2.cmml\" xref=\"p1.1.m1.1.6.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.1.2.1.cmml\" xref=\"p1.1.m1.1.6.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">0<\/cn>\n <\/apply>\n <\/apply>\n <infinity id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2\">superscript<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">2<\/cn>\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n <minus id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.1.1\"\/>\n <ci id=\"p1.1.m1.1.5.1.2.cmml\" xref=\"p1.1.m1.1.5.1.2\">\ud835\udc56<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sum_{i=0}^{\\infty}2^{-i}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\text{geometric series:}\\quad \\sum_{i=0}^\\infty 2^{-i}=2 ",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{geometric series:}}\\quad \\sum _{i=0}^{\\infty }2^{-i}=2}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>geometric series:<\/mtext>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mn>2<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>−<!-- \u2212 --><\/mo>\n <mi>i<\/mi>\n <\/mrow>\n <\/msup>\n <mo>=<\/mo>\n <mn>2<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{geometric series:}}\\quad \\sum _{i=0}^{\\infty }2^{-i}=2}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\text{geometric series:}\\quad\\sum_{i=0}^{\\infty}2^% {-i}=2}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mrow id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.1.cmml\">\n <mtext id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1a.cmml\">geometric series:<\/mtext>\n <mo mathvariant=\"italic\" separator=\"true\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.11.1.1.cmml\">\u2003<\/mo>\n <mrow id=\"p1.1.m1.1.11.1.2\" xref=\"p1.1.m1.1.11.1.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.11.1.2.1\" xref=\"p1.1.m1.1.11.1.2.1.cmml\">\n <munderover id=\"p1.1.m1.1.11.1.2.1a\" xref=\"p1.1.m1.1.11.1.2.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\n <mi id=\"p1.1.m1.1.4.1.1\" xref=\"p1.1.m1.1.4.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.4.1.2\" xref=\"p1.1.m1.1.4.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.4.1.3\" xref=\"p1.1.m1.1.4.1.3.cmml\">0<\/mn>\n <\/mrow>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\u221e<\/mi>\n <\/munderover>\n <\/mstyle>\n <msup id=\"p1.1.m1.1.11.1.2.2\" xref=\"p1.1.m1.1.11.1.2.2.cmml\">\n <mn id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">2<\/mn>\n <mrow id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.7.1.1\" xref=\"p1.1.m1.1.7.1.1.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.7.1.2\" xref=\"p1.1.m1.1.7.1.2.cmml\">i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">2<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <eq id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <list id=\"p1.1.m1.1.11.1.1.cmml\" xref=\"p1.1.m1.1.11.1\">\n <ci id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">geometric series:<\/mtext>\n <\/ci>\n <apply id=\"p1.1.m1.1.11.1.2.cmml\" xref=\"p1.1.m1.1.11.1.2\">\n <apply id=\"p1.1.m1.1.11.1.2.1.cmml\" xref=\"p1.1.m1.1.11.1.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.11.1.2.1.1.cmml\" xref=\"p1.1.m1.1.11.1.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.11.1.2.1.2.cmml\" xref=\"p1.1.m1.1.11.1.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.11.1.2.1.2.1.cmml\" xref=\"p1.1.m1.1.11.1.2.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\">\n <eq id=\"p1.1.m1.1.4.1.2.cmml\" xref=\"p1.1.m1.1.4.1.2\"\/>\n <ci id=\"p1.1.m1.1.4.1.1.cmml\" xref=\"p1.1.m1.1.4.1.1\">\ud835\udc56<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.1.3.cmml\" xref=\"p1.1.m1.1.4.1.3\">0<\/cn>\n <\/apply>\n <\/apply>\n <infinity id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.11.1.2.2.cmml\" xref=\"p1.1.m1.1.11.1.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.11.1.2.2.1.cmml\" xref=\"p1.1.m1.1.11.1.2.2\">superscript<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">2<\/cn>\n <apply id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">\n <minus id=\"p1.1.m1.1.7.1.1.cmml\" xref=\"p1.1.m1.1.7.1.1\"\/>\n <ci id=\"p1.1.m1.1.7.1.2.cmml\" xref=\"p1.1.m1.1.7.1.2\">\ud835\udc56<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/list>\n <cn type=\"integer\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">2<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\text{geometric series:}\\quad\\sum_{i=0}^{\\infty}2^%\n{-i}=2}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\iint",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\iint }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>∬<!-- \u222c --><\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\iint }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\iint}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\u222c<\/mo>\n <\/mstyle>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">double-integral<\/csymbol>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\iint}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\oint",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\oint }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>∮<!-- \u222e --><\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\oint }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\oint}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\u222e<\/mo>\n <\/mstyle>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">contour-integral<\/csymbol>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\oint}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\iint\\limits_{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset\\!\\supset \\mathbf D \\cdot \\mathrm{d}\\mathbf A",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\iint \\limits _{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset \\!\\supset \\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo>∬<!-- \u222c --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>S<\/mi>\n <\/mrow>\n <\/munder>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mo>⊂<!-- \u2282 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <mo>⊃<!-- \u2283 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">D<\/mi>\n <\/mrow>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">A<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\iint \\limits _{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset \\!\\supset \\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\iint\\limits_{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset\\!% \\supset\\mathbf{D}\\cdot\\mathrm{d}\\mathbf{A}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mpadded width=\"-18.3pt\" id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.21a\" xref=\"p1.1.m1.1.21.cmml\">\n <munder id=\"p1.1.m1.1.21b\" xref=\"p1.1.m1.1.21.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222c<\/mo>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">S<\/mi>\n <\/munder>\n <\/mstyle>\n <\/mpadded>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">\u2282<\/mo>\n <mo id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">\u2283<\/mo>\n <mi id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">\ud835\udc03<\/mi>\n <mo id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">\u22c5<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">d<\/mi>\n <mi id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">\ud835\udc00<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <apply id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.cmml\" xref=\"p1.1.m1.1.21\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">double-integral<\/csymbol>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc46<\/ci>\n <\/apply>\n <subset id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">superset-of<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">D<\/csymbol>\n <ci id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">\u22c5<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">d<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">A<\/csymbol>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\iint\\limits_{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset\\!%\n\\supset\\mathbf{D}\\cdot\\mathrm{d}\\mathbf{A}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\int\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf D\\cdot\\mathrm{d}\\mathbf A",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int \\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc \\,\\,\\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>∫<!-- \u222b --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <msub>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>V<\/mi>\n <\/mrow>\n <\/msub>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mo>◯<!-- \u25ef --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"thinmathspace\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">D<\/mi>\n <\/mrow>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">A<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int \\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc \\,\\,\\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\int\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!% \\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf{D}\\cdot\\mathrm{d}\\mathbf{A}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.35\" xref=\"p1.1.m1.1.35.cmml\">\n <mrow id=\"p1.1.m1.1.35a\" xref=\"p1.1.m1.1.35.cmml\">\n <mo largeop=\"true\" rspace=\"0pt\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222b<\/mo>\n <mrow id=\"p1.1.m1.1.35.1\" xref=\"p1.1.m1.1.35.1.cmml\">\n <mrow id=\"p1.1.m1.1.35.1.1\" xref=\"p1.1.m1.1.35.1.1.cmml\">\n <mpadded width=\"-20pt\" id=\"p1.1.m1.1.35.1.1.1\" xref=\"p1.1.m1.1.35.1.1.1.cmml\">\n <msub id=\"p1.1.m1.1.35.1.1.1a\" xref=\"p1.1.m1.1.35.1.1.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u222b<\/mo>\n <mrow id=\"p1.1.m1.1.7.1\" xref=\"p1.1.m1.1.7.1.cmml\">\n <mo id=\"p1.1.m1.1.7.1.1\" xref=\"p1.1.m1.1.7.1.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.7.1a\" xref=\"p1.1.m1.1.7.1.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.7.1.2\" xref=\"p1.1.m1.1.7.1.2.cmml\">V<\/mi>\n <\/mrow>\n <\/msub>\n <\/mpadded>\n <mo rspace=\"5.8pt\" id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.28.cmml\">\u25cb<\/mo>\n <mi id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.31.cmml\">\ud835\udc03<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.32\" xref=\"p1.1.m1.1.32.cmml\">\u22c5<\/mo>\n <mrow id=\"p1.1.m1.1.35.1.2\" xref=\"p1.1.m1.1.35.1.2.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.33\" xref=\"p1.1.m1.1.33.cmml\">d<\/mo>\n <mi id=\"p1.1.m1.1.34\" xref=\"p1.1.m1.1.34.cmml\">\ud835\udc00<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.35.cmml\" xref=\"p1.1.m1.1.35\">\n <int id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.35.1.cmml\" xref=\"p1.1.m1.1.35.1\">\n <ci id=\"p1.1.m1.1.32.cmml\" xref=\"p1.1.m1.1.32\">\u22c5<\/ci>\n <apply id=\"p1.1.m1.1.35.1.1.cmml\" xref=\"p1.1.m1.1.35.1.1\">\n <ci id=\"p1.1.m1.1.28.cmml\" xref=\"p1.1.m1.1.28\">\u25cb<\/ci>\n <apply id=\"p1.1.m1.1.35.1.1.1.cmml\" xref=\"p1.1.m1.1.35.1.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.35.1.1.1.1.cmml\" xref=\"p1.1.m1.1.35.1.1.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7.1\">\n <partialdiff id=\"p1.1.m1.1.7.1.1.cmml\" xref=\"p1.1.m1.1.7.1.1\"\/>\n <ci id=\"p1.1.m1.1.7.1.2.cmml\" xref=\"p1.1.m1.1.7.1.2\">\ud835\udc49<\/ci>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.31.cmml\" xref=\"p1.1.m1.1.31\">\ud835\udc03<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.35.1.2.cmml\" xref=\"p1.1.m1.1.35.1.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.33.cmml\" xref=\"p1.1.m1.1.33\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.34.cmml\" xref=\"p1.1.m1.1.34\">\ud835\udc00<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\int\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!%\n\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf{D}\\cdot\\mathrm{d}\\mathbf{A}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\subset\\!\\supset \\mathbf D\\cdot\\mathrm{d}\\mathbf A",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int \\!\\!\\!\\!\\!\\int \\!\\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\subset \\!\\supset \\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>∫<!-- \u222b --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mo>∫<!-- \u222b --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <msub>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>V<\/mi>\n <\/mrow>\n <\/msub>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mo>⊂<!-- \u2282 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <mo>⊃<!-- \u2283 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">D<\/mi>\n <\/mrow>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">A<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int \\!\\!\\!\\!\\!\\int \\!\\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\subset \\!\\supset \\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!% \\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\subset\\!\\supset\\mathbf{D}\\cdot\\mathrm% {d}\\mathbf{A}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mpadded width=\"-8.3pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mo largeop=\"true\" rspace=\"0pt\" symmetric=\"true\" id=\"p1.1.m1.1.1b\" xref=\"p1.1.m1.1.1.cmml\">\u222b<\/mo>\n <\/mstyle>\n <\/mpadded>\n <mpadded width=\"-8.3pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <mo largeop=\"true\" rspace=\"0pt\" symmetric=\"true\" id=\"p1.1.m1.1.7b\" xref=\"p1.1.m1.1.7.cmml\">\u222b<\/mo>\n <\/mstyle>\n <\/mpadded>\n <mpadded width=\"-23.3pt\" id=\"p1.1.m1.1.44\" xref=\"p1.1.m1.1.44.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.44a\" xref=\"p1.1.m1.1.44.cmml\">\n <msub id=\"p1.1.m1.1.44b\" xref=\"p1.1.m1.1.44.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\u222b<\/mo>\n <mrow id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">\n <mo id=\"p1.1.m1.1.14.1.1\" xref=\"p1.1.m1.1.14.1.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.14.1a\" xref=\"p1.1.m1.1.14.1.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.14.1.2\" xref=\"p1.1.m1.1.14.1.2.cmml\">V<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mpadded>\n <mo rspace=\"0.8pt\" id=\"p1.1.m1.1.37\" xref=\"p1.1.m1.1.37.cmml\">\u2282<\/mo>\n <mo id=\"p1.1.m1.1.39\" xref=\"p1.1.m1.1.39.cmml\">\u2283<\/mo>\n <mi id=\"p1.1.m1.1.40\" xref=\"p1.1.m1.1.40.cmml\">\ud835\udc03<\/mi>\n <mo id=\"p1.1.m1.1.41\" xref=\"p1.1.m1.1.41.cmml\">\u22c5<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.42\" xref=\"p1.1.m1.1.42.cmml\">d<\/mi>\n <mi id=\"p1.1.m1.1.43\" xref=\"p1.1.m1.1.43.cmml\">\ud835\udc00<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <int id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <int id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <apply id=\"p1.1.m1.1.44.cmml\" xref=\"p1.1.m1.1.44\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.44.1.cmml\" xref=\"p1.1.m1.1.44\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\"\/>\n <apply id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\">\n <partialdiff id=\"p1.1.m1.1.14.1.1.cmml\" xref=\"p1.1.m1.1.14.1.1\"\/>\n <ci id=\"p1.1.m1.1.14.1.2.cmml\" xref=\"p1.1.m1.1.14.1.2\">\ud835\udc49<\/ci>\n <\/apply>\n <\/apply>\n <subset id=\"p1.1.m1.1.37.cmml\" xref=\"p1.1.m1.1.37\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.39.cmml\" xref=\"p1.1.m1.1.39\">superset-of<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.40.cmml\" xref=\"p1.1.m1.1.40\">D<\/csymbol>\n <ci id=\"p1.1.m1.1.41.cmml\" xref=\"p1.1.m1.1.41\">\u22c5<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.42.cmml\" xref=\"p1.1.m1.1.42\">d<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.43.cmml\" xref=\"p1.1.m1.1.43\">A<\/csymbol>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!%\n\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\subset\\!\\supset\\mathbf{D}\\cdot\\mathrm%\n{d}\\mathbf{A}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf D\\;\\cdot\\mathrm{d}\\mathbf A",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int \\!\\!\\!\\!\\!\\int \\!\\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc \\,\\,\\mathbf {D} \\;\\cdot \\mathrm {d} \\mathbf {A} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>∫<!-- \u222b --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mo>∫<!-- \u222b --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <msub>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>V<\/mi>\n <\/mrow>\n <\/msub>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mo>◯<!-- \u25ef --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"thinmathspace\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">D<\/mi>\n <\/mrow>\n <mspace width=\"thickmathspace\" \/>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">A<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int \\!\\!\\!\\!\\!\\int \\!\\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc \\,\\,\\mathbf {D} \\;\\cdot \\mathrm {d} \\mathbf {A} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!% \\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf{D}\\;\\cdot\\mathrm{d}% \\mathbf{A}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.43\" xref=\"p1.1.m1.1.43.cmml\">\n <mrow id=\"p1.1.m1.1.43a\" xref=\"p1.1.m1.1.43.cmml\">\n <mo largeop=\"true\" rspace=\"0pt\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222b<\/mo>\n <mrow id=\"p1.1.m1.1.43.1\" xref=\"p1.1.m1.1.43.1.cmml\">\n <mo largeop=\"true\" rspace=\"0pt\" symmetric=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u222b<\/mo>\n <mrow id=\"p1.1.m1.1.43.1.1\" xref=\"p1.1.m1.1.43.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.43.1.1.1\" xref=\"p1.1.m1.1.43.1.1.1.cmml\">\n <mpadded width=\"-20pt\" id=\"p1.1.m1.1.43.1.1.1.1\" xref=\"p1.1.m1.1.43.1.1.1.1.cmml\">\n <msub id=\"p1.1.m1.1.43.1.1.1.1a\" xref=\"p1.1.m1.1.43.1.1.1.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\u222b<\/mo>\n <mrow id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">\n <mo id=\"p1.1.m1.1.14.1.1\" xref=\"p1.1.m1.1.14.1.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.14.1a\" xref=\"p1.1.m1.1.14.1.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.14.1.2\" xref=\"p1.1.m1.1.14.1.2.cmml\">V<\/mi>\n <\/mrow>\n <\/msub>\n <\/mpadded>\n <mo rspace=\"5.8pt\" id=\"p1.1.m1.1.35\" xref=\"p1.1.m1.1.35.cmml\">\u25cb<\/mo>\n <mpadded width=\"+2.8pt\" id=\"p1.1.m1.1.38\" xref=\"p1.1.m1.1.38.cmml\">\n <mi id=\"p1.1.m1.1.38a\" xref=\"p1.1.m1.1.38.cmml\">\ud835\udc03<\/mi>\n <\/mpadded>\n <\/mrow>\n <mo id=\"p1.1.m1.1.40\" xref=\"p1.1.m1.1.40.cmml\">\u22c5<\/mo>\n <mrow id=\"p1.1.m1.1.43.1.1.2\" xref=\"p1.1.m1.1.43.1.1.2.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.41\" xref=\"p1.1.m1.1.41.cmml\">d<\/mo>\n <mi id=\"p1.1.m1.1.42\" xref=\"p1.1.m1.1.42.cmml\">\ud835\udc00<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.43.cmml\" xref=\"p1.1.m1.1.43\">\n <int id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.43.1.cmml\" xref=\"p1.1.m1.1.43.1\">\n <int id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <apply id=\"p1.1.m1.1.43.1.1.cmml\" xref=\"p1.1.m1.1.43.1.1\">\n <ci id=\"p1.1.m1.1.40.cmml\" xref=\"p1.1.m1.1.40\">\u22c5<\/ci>\n <apply id=\"p1.1.m1.1.43.1.1.1.cmml\" xref=\"p1.1.m1.1.43.1.1.1\">\n <ci id=\"p1.1.m1.1.35.cmml\" xref=\"p1.1.m1.1.35\">\u25cb<\/ci>\n <apply id=\"p1.1.m1.1.43.1.1.1.1.cmml\" xref=\"p1.1.m1.1.43.1.1.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.43.1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.43.1.1.1.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\"\/>\n <apply id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\">\n <partialdiff id=\"p1.1.m1.1.14.1.1.cmml\" xref=\"p1.1.m1.1.14.1.1\"\/>\n <ci id=\"p1.1.m1.1.14.1.2.cmml\" xref=\"p1.1.m1.1.14.1.2\">\ud835\udc49<\/ci>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.38.cmml\" xref=\"p1.1.m1.1.38\">\ud835\udc03<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.43.1.1.2.cmml\" xref=\"p1.1.m1.1.43.1.1.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.41.cmml\" xref=\"p1.1.m1.1.41\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.42.cmml\" xref=\"p1.1.m1.1.42\">\ud835\udc00<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!%\n\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf{D}\\;\\cdot\\mathrm{d}%\n\\mathbf{A}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "{\\scriptstyle S}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\scriptstyle S}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"1\">\n <mi>S<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\scriptstyle S}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle{\\scriptstyle S}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mi mathsize=\"70%\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">S<\/mi>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc46<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle{\\scriptstyle S}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "( \\nabla \\times \\bold{F} ) \\cdot {\\rm d}\\bold{S} = \\oint_{\\partial S} \\bold{F} \\cdot {\\rm d}\\boldsymbol{\\ell} ",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle (\\nabla \\times {\\mathbf {F}})\\cdot {\\rm {d}}{\\mathbf {S}}=\\oint _{\\partial S}{\\mathbf {F}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">(<\/mo>\n <mi mathvariant=\"normal\">∇<!-- \u2207 --><\/mi>\n <mo>×<!-- \u00d7 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">F<\/mi>\n <\/mrow>\n <\/mrow>\n <mo stretchy=\"false\">)<\/mo>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">S<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>=<\/mo>\n <msub>\n <mo>∮<!-- \u222e --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>S<\/mi>\n <\/mrow>\n <\/msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">F<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">ℓ<!-- \u2113 --><\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle (\\nabla \\times {\\mathbf {F}})\\cdot {\\rm {d}}{\\mathbf {S}}=\\oint _{\\partial S}{\\mathbf {F}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle(\\nabla\\times\\mathbb{F})\\cdot{\\rm d}\\mathbb{S}=% \\oint_{\\partial S}\\mathbb{F}\\cdot{\\rm d}\\boldsymbol{\\ell}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">\n <mrow id=\"p1.1.m1.1.16.1\" xref=\"p1.1.m1.1.16.1.cmml\">\n <mrow id=\"p1.1.m1.1.16.1.2\" xref=\"p1.1.m1.1.16.1.2.cmml\">\n <mrow id=\"p1.1.m1.1.16.1.2.1\" xref=\"p1.1.m1.1.16.1.2.1.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.16.1.2.1.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.16.1.2.1.2\" xref=\"p1.1.m1.1.16.1.2.1.2.cmml\">\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2207<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u00d7<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udd3d<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.16.1.2.1.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u22c5<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">d<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.16.1.1\" xref=\"p1.1.m1.1.16.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\ud835\udd4a<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.16.2\" xref=\"p1.1.m1.1.16.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.16.2.1\" xref=\"p1.1.m1.1.16.2.1.cmml\">\n <msub id=\"p1.1.m1.1.16.2.1a\" xref=\"p1.1.m1.1.16.2.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\u222e<\/mo>\n <mrow id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mo id=\"p1.1.m1.1.11.1.1\" xref=\"p1.1.m1.1.11.1.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.11.1.2\" xref=\"p1.1.m1.1.11.1.2.cmml\">S<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.16.2.2\" xref=\"p1.1.m1.1.16.2.2.cmml\">\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\ud835\udd3d<\/mi>\n <mo id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\u22c5<\/mo>\n <mrow id=\"p1.1.m1.1.16.2.2.1\" xref=\"p1.1.m1.1.16.2.2.1.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">d<\/mo>\n <mi mathvariant=\"bold\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\u2113<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">\n <eq id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\"\/>\n <apply id=\"p1.1.m1.1.16.1.cmml\" xref=\"p1.1.m1.1.16.1\">\n <times id=\"p1.1.m1.1.16.1.1.cmml\" xref=\"p1.1.m1.1.16.1.1\"\/>\n <apply id=\"p1.1.m1.1.16.1.2.cmml\" xref=\"p1.1.m1.1.16.1.2\">\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u22c5<\/ci>\n <apply id=\"p1.1.m1.1.16.1.2.1.2.cmml\" xref=\"p1.1.m1.1.16.1.2.1\">\n <times id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u2207<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udd3d<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">d<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udd4a<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.16.2.cmml\" xref=\"p1.1.m1.1.16.2\">\n <apply id=\"p1.1.m1.1.16.2.1.cmml\" xref=\"p1.1.m1.1.16.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.16.2.1.1.cmml\" xref=\"p1.1.m1.1.16.2.1\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">contour-integral<\/csymbol>\n <apply id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">\n <partialdiff id=\"p1.1.m1.1.11.1.1.cmml\" xref=\"p1.1.m1.1.11.1.1\"\/>\n <ci id=\"p1.1.m1.1.11.1.2.cmml\" xref=\"p1.1.m1.1.11.1.2\">\ud835\udc46<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.16.2.2.cmml\" xref=\"p1.1.m1.1.16.2.2\">\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\u22c5<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udd3d<\/ci>\n <apply id=\"p1.1.m1.1.16.2.2.1.cmml\" xref=\"p1.1.m1.1.16.2.2.1\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">bold-\u2113<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle(\\nabla\\times\\mathbb{F})\\cdot{\\rm d}\\mathbb{S}=%\n\\oint_{\\partial S}\\mathbb{F}\\cdot{\\rm d}\\boldsymbol{\\ell}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "{\\scriptstyle S}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\scriptstyle S}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"1\">\n <mi>S<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\scriptstyle S}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle{\\scriptstyle S}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mi mathsize=\"70%\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">S<\/mi>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc46<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle{\\scriptstyle S}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "( \\nabla \\times \\bold{F} ) \\cdot {\\rm d}\\bold{S} = \\oint_{\\partial S} \\bold{F} \\cdot {\\rm d}\\boldsymbol{\\ell} ",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle (\\nabla \\times {\\mathbf {F}})\\cdot {\\rm {d}}{\\mathbf {S}}=\\oint _{\\partial S}{\\mathbf {F}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">(<\/mo>\n <mi mathvariant=\"normal\">∇<!-- \u2207 --><\/mi>\n <mo>×<!-- \u00d7 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">F<\/mi>\n <\/mrow>\n <\/mrow>\n <mo stretchy=\"false\">)<\/mo>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">S<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>=<\/mo>\n <msub>\n <mo>∮<!-- \u222e --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>S<\/mi>\n <\/mrow>\n <\/msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">F<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">ℓ<!-- \u2113 --><\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle (\\nabla \\times {\\mathbf {F}})\\cdot {\\rm {d}}{\\mathbf {S}}=\\oint _{\\partial S}{\\mathbf {F}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle(\\nabla\\times\\mathbb{F})\\cdot{\\rm d}\\mathbb{S}=% \\oint_{\\partial S}\\mathbb{F}\\cdot{\\rm d}\\boldsymbol{\\ell}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">\n <mrow id=\"p1.1.m1.1.16.1\" xref=\"p1.1.m1.1.16.1.cmml\">\n <mrow id=\"p1.1.m1.1.16.1.2\" xref=\"p1.1.m1.1.16.1.2.cmml\">\n <mrow id=\"p1.1.m1.1.16.1.2.1\" xref=\"p1.1.m1.1.16.1.2.1.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.16.1.2.1.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.16.1.2.1.2\" xref=\"p1.1.m1.1.16.1.2.1.2.cmml\">\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u2207<\/mo>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\u00d7<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\ud835\udd3d<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.16.1.2.1.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u22c5<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">d<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.16.1.1\" xref=\"p1.1.m1.1.16.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\ud835\udd4a<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.16.2\" xref=\"p1.1.m1.1.16.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.16.2.1\" xref=\"p1.1.m1.1.16.2.1.cmml\">\n <msub id=\"p1.1.m1.1.16.2.1a\" xref=\"p1.1.m1.1.16.2.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\u222e<\/mo>\n <mrow id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mo id=\"p1.1.m1.1.11.1.1\" xref=\"p1.1.m1.1.11.1.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.11.1a\" xref=\"p1.1.m1.1.11.1.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.11.1.2\" xref=\"p1.1.m1.1.11.1.2.cmml\">S<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.16.2.2\" xref=\"p1.1.m1.1.16.2.2.cmml\">\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\ud835\udd3d<\/mi>\n <mo id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\u22c5<\/mo>\n <mrow id=\"p1.1.m1.1.16.2.2.1\" xref=\"p1.1.m1.1.16.2.2.1.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">d<\/mo>\n <mi mathvariant=\"bold\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\u2113<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">\n <eq id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\"\/>\n <apply id=\"p1.1.m1.1.16.1.cmml\" xref=\"p1.1.m1.1.16.1\">\n <times id=\"p1.1.m1.1.16.1.1.cmml\" xref=\"p1.1.m1.1.16.1.1\"\/>\n <apply id=\"p1.1.m1.1.16.1.2.cmml\" xref=\"p1.1.m1.1.16.1.2\">\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\u22c5<\/ci>\n <apply id=\"p1.1.m1.1.16.1.2.1.2.cmml\" xref=\"p1.1.m1.1.16.1.2.1\">\n <times id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u2207<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udd3d<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">d<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udd4a<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.16.2.cmml\" xref=\"p1.1.m1.1.16.2\">\n <apply id=\"p1.1.m1.1.16.2.1.cmml\" xref=\"p1.1.m1.1.16.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.16.2.1.1.cmml\" xref=\"p1.1.m1.1.16.2.1\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">contour-integral<\/csymbol>\n <apply id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">\n <partialdiff id=\"p1.1.m1.1.11.1.1.cmml\" xref=\"p1.1.m1.1.11.1.1\"\/>\n <ci id=\"p1.1.m1.1.11.1.2.cmml\" xref=\"p1.1.m1.1.11.1.2\">\ud835\udc46<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.16.2.2.cmml\" xref=\"p1.1.m1.1.16.2.2\">\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\u22c5<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udd3d<\/ci>\n <apply id=\"p1.1.m1.1.16.2.2.1.cmml\" xref=\"p1.1.m1.1.16.2.2.1\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">bold-\u2113<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle(\\nabla\\times\\mathbb{F})\\cdot{\\rm d}\\mathbb{S}=%\n\\oint_{\\partial S}\\mathbb{F}\\cdot{\\rm d}\\boldsymbol{\\ell}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\oint_C \\bold{B} \\cdot {\\rm d} \\boldsymbol{\\ell} = \\mu_0 ",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\oint _{C}{\\mathbf {B}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}=\\mu _{0}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mo>∮<!-- \u222e --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>C<\/mi>\n <\/mrow>\n <\/msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">B<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">ℓ<!-- \u2113 --><\/mi>\n <\/mrow>\n <mo>=<\/mo>\n <msub>\n <mi>μ<!-- \u03bc --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\oint _{C}{\\mathbf {B}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}=\\mu _{0}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\oint_{C}\\mathbb{B}\\cdot{\\rm d}\\boldsymbol{\\ell}=% \\mu_{0}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mrow id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.10.1.1\" xref=\"p1.1.m1.1.10.1.1.cmml\">\n <msub id=\"p1.1.m1.1.10.1.1a\" xref=\"p1.1.m1.1.10.1.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222e<\/mo>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">C<\/mi>\n <\/msub>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.10.1.2\" xref=\"p1.1.m1.1.10.1.2.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udd39<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u22c5<\/mo>\n <mrow id=\"p1.1.m1.1.10.1.2.1\" xref=\"p1.1.m1.1.10.1.2.1.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">d<\/mo>\n <mi mathvariant=\"bold\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u2113<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">=<\/mo>\n <msub id=\"p1.1.m1.1.10.2\" xref=\"p1.1.m1.1.10.2.cmml\">\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u03bc<\/mi>\n <mn id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">0<\/mn>\n <\/msub>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <eq id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <apply id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">\n <apply id=\"p1.1.m1.1.10.1.1.cmml\" xref=\"p1.1.m1.1.10.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.10.1.1.1.cmml\" xref=\"p1.1.m1.1.10.1.1\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">contour-integral<\/csymbol>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc36<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.10.1.2.cmml\" xref=\"p1.1.m1.1.10.1.2\">\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u22c5<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udd39<\/ci>\n <apply id=\"p1.1.m1.1.10.1.2.1.cmml\" xref=\"p1.1.m1.1.10.1.2.1\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">bold-\u2113<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.10.2.cmml\" xref=\"p1.1.m1.1.10.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.10.2.1.cmml\" xref=\"p1.1.m1.1.10.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udf07<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">0<\/cn>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\oint_{C}\\mathbb{B}\\cdot{\\rm d}\\boldsymbol{\\ell}=%\n\\mu_{0}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "{\\scriptstyle S}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\scriptstyle S}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"1\">\n <mi>S<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\scriptstyle S}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle{\\scriptstyle S}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mi mathsize=\"70%\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">S<\/mi>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc46<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle{\\scriptstyle S}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left ( \\bold{J} + \\epsilon_0\\frac{\\partial \\bold{E}}{\\partial t} \\right ) \\cdot {\\rm d}\\bold{S}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left({\\mathbf {J}}+\\epsilon _{0}{\\frac {\\partial {\\mathbf {E}}}{\\partial t}}\\right)\\cdot {\\rm {d}}{\\mathbf {S}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">J<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>+<\/mo>\n <msub>\n <mi>ϵ<!-- \u03f5 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">E<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mrow>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>t<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">S<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left({\\mathbf {J}}+\\epsilon _{0}{\\frac {\\partial {\\mathbf {E}}}{\\partial t}}\\right)\\cdot {\\rm {d}}{\\mathbf {S}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left(\\mathbb{J}+\\epsilon_{0}\\frac{\\partial\\mathbb% {E}}{\\partial t}\\right)\\cdot{\\rm d}\\mathbb{S}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mrow id=\"p1.1.m1.1.11.2\" xref=\"p1.1.m1.1.11.2.cmml\">\n <mrow id=\"p1.1.m1.1.11.2.1\" xref=\"p1.1.m1.1.11.2.1.2.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.11.2.1.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.11.2.1.2\" xref=\"p1.1.m1.1.11.2.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udd41<\/mi>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.11.2.1.2.1\" xref=\"p1.1.m1.1.11.2.1.2.1.cmml\">\n <msub id=\"p1.1.m1.1.11.2.1.2.1.2\" xref=\"p1.1.m1.1.11.2.1.2.1.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03f5<\/mi>\n <mn id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">0<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.11.2.1.2.1.1\" xref=\"p1.1.m1.1.11.2.1.2.1.1.cmml\">\u2062<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mfrac id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6.cmml\">\n <mrow id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mo id=\"p1.1.m1.1.6.2.1\" xref=\"p1.1.m1.1.6.2.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.6.2a\" xref=\"p1.1.m1.1.6.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.6.2.2\" xref=\"p1.1.m1.1.6.2.2.cmml\">\ud835\udd3c<\/mi>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.6.3\" xref=\"p1.1.m1.1.6.3.cmml\">\n <mo id=\"p1.1.m1.1.6.3.1\" xref=\"p1.1.m1.1.6.3.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.6.3a\" xref=\"p1.1.m1.1.6.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.6.3.2\" xref=\"p1.1.m1.1.6.3.2.cmml\">t<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.11.2.1.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u22c5<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">d<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\ud835\udd4a<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <apply id=\"p1.1.m1.1.11.2.cmml\" xref=\"p1.1.m1.1.11.2\">\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u22c5<\/ci>\n <apply id=\"p1.1.m1.1.11.2.1.2.cmml\" xref=\"p1.1.m1.1.11.2.1\">\n <plus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udd41<\/ci>\n <apply id=\"p1.1.m1.1.11.2.1.2.1.cmml\" xref=\"p1.1.m1.1.11.2.1.2.1\">\n <times id=\"p1.1.m1.1.11.2.1.2.1.1.cmml\" xref=\"p1.1.m1.1.11.2.1.2.1.1\"\/>\n <apply id=\"p1.1.m1.1.11.2.1.2.1.2.cmml\" xref=\"p1.1.m1.1.11.2.1.2.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.11.2.1.2.1.2.1.cmml\" xref=\"p1.1.m1.1.11.2.1.2.1.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">italic-\u03f5<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">0<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <divide id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <partialdiff id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2.1\"\/>\n <ci id=\"p1.1.m1.1.6.2.2.cmml\" xref=\"p1.1.m1.1.6.2.2\">\ud835\udd3c<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.3.cmml\" xref=\"p1.1.m1.1.6.3\">\n <partialdiff id=\"p1.1.m1.1.6.3.1.cmml\" xref=\"p1.1.m1.1.6.3.1\"\/>\n <ci id=\"p1.1.m1.1.6.3.2.cmml\" xref=\"p1.1.m1.1.6.3.2\">\ud835\udc61<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">d<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udd4a<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\left(\\mathbb{J}+\\epsilon_{0}\\frac{\\partial\\mathbb%\n{E}}{\\partial t}\\right)\\cdot{\\rm d}\\mathbb{S}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\oint_{\\partial S} \\bold{B} \\cdot {\\rm d} \\boldsymbol{\\ell} = \\mu_0 ",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\oint _{\\partial S}{\\mathbf {B}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}=\\mu _{0}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mrow class=\"MJX-TeXAtom-OP MJX-fixedlimits\">\n <mrow class=\"MJX-TeXAtom-VCENTER\">\n <mstyle mathsize=\"2.07em\">\n <mtext>∮<!-- \u222e --><\/mtext>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <mspace width=\"thinmathspace\" \/>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>S<\/mi>\n <\/mrow>\n <\/msub>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">B<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">ℓ<!-- \u2113 --><\/mi>\n <\/mrow>\n <mo>=<\/mo>\n <msub>\n <mi>μ<!-- \u03bc --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\oint _{\\partial S}{\\mathbf {B}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}=\\mu _{0}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\oint_{\\partial S}\\mathbb{B}\\cdot{\\rm d}% \\boldsymbol{\\ell}=\\mu_{0}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mrow id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.10.1.1\" xref=\"p1.1.m1.1.10.1.1.cmml\">\n <msub id=\"p1.1.m1.1.10.1.1a\" xref=\"p1.1.m1.1.10.1.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222e<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mo id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.2.1a\" xref=\"p1.1.m1.1.2.1.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">S<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.10.1.2\" xref=\"p1.1.m1.1.10.1.2.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udd39<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u22c5<\/mo>\n <mrow id=\"p1.1.m1.1.10.1.2.1\" xref=\"p1.1.m1.1.10.1.2.1.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">d<\/mo>\n <mi mathvariant=\"bold\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\u2113<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">=<\/mo>\n <msub id=\"p1.1.m1.1.10.2\" xref=\"p1.1.m1.1.10.2.cmml\">\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u03bc<\/mi>\n <mn id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">0<\/mn>\n <\/msub>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <eq id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <apply id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">\n <apply id=\"p1.1.m1.1.10.1.1.cmml\" xref=\"p1.1.m1.1.10.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.10.1.1.1.cmml\" xref=\"p1.1.m1.1.10.1.1\">subscript<\/csymbol>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">contour-integral<\/csymbol>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <partialdiff id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\ud835\udc46<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.10.1.2.cmml\" xref=\"p1.1.m1.1.10.1.2\">\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\u22c5<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udd39<\/ci>\n <apply id=\"p1.1.m1.1.10.1.2.1.cmml\" xref=\"p1.1.m1.1.10.1.2.1\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">bold-\u2113<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.10.2.cmml\" xref=\"p1.1.m1.1.10.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.10.2.1.cmml\" xref=\"p1.1.m1.1.10.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udf07<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">0<\/cn>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\oint_{\\partial S}\\mathbb{B}\\cdot{\\rm d}%\n\\boldsymbol{\\ell}=\\mu_{0}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "{\\scriptstyle S}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\scriptstyle S}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"1\">\n <mi>S<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\scriptstyle S}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle{\\scriptstyle S}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mi mathsize=\"70%\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">S<\/mi>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc46<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle{\\scriptstyle S}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\left ( \\bold{J} + \\epsilon_0\\frac{\\partial \\bold{E}}{\\partial t} \\right ) \\cdot {\\rm d}\\bold{S}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left({\\mathbf {J}}+\\epsilon _{0}{\\frac {\\partial {\\mathbf {E}}}{\\partial t}}\\right)\\cdot {\\rm {d}}{\\mathbf {S}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">J<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>+<\/mo>\n <msub>\n <mi>ϵ<!-- \u03f5 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">E<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mrow>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>t<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">S<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left({\\mathbf {J}}+\\epsilon _{0}{\\frac {\\partial {\\mathbf {E}}}{\\partial t}}\\right)\\cdot {\\rm {d}}{\\mathbf {S}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left(\\mathbb{J}+\\epsilon_{0}\\frac{\\partial\\mathbb% {E}}{\\partial t}\\right)\\cdot{\\rm d}\\mathbb{S}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mrow id=\"p1.1.m1.1.11.2\" xref=\"p1.1.m1.1.11.2.cmml\">\n <mrow id=\"p1.1.m1.1.11.2.1\" xref=\"p1.1.m1.1.11.2.1.2.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.11.2.1.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.11.2.1.2\" xref=\"p1.1.m1.1.11.2.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\ud835\udd41<\/mi>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.11.2.1.2.1\" xref=\"p1.1.m1.1.11.2.1.2.1.cmml\">\n <msub id=\"p1.1.m1.1.11.2.1.2.1.2\" xref=\"p1.1.m1.1.11.2.1.2.1.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03f5<\/mi>\n <mn id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">0<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.11.2.1.2.1.1\" xref=\"p1.1.m1.1.11.2.1.2.1.1.cmml\">\u2062<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mfrac id=\"p1.1.m1.1.6a\" xref=\"p1.1.m1.1.6.cmml\">\n <mrow id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.2.cmml\">\n <mo id=\"p1.1.m1.1.6.2.1\" xref=\"p1.1.m1.1.6.2.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.6.2a\" xref=\"p1.1.m1.1.6.2.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.6.2.2\" xref=\"p1.1.m1.1.6.2.2.cmml\">\ud835\udd3c<\/mi>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.6.3\" xref=\"p1.1.m1.1.6.3.cmml\">\n <mo id=\"p1.1.m1.1.6.3.1\" xref=\"p1.1.m1.1.6.3.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.6.3a\" xref=\"p1.1.m1.1.6.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.6.3.2\" xref=\"p1.1.m1.1.6.3.2.cmml\">t<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.11.2.1.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u22c5<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">d<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\ud835\udd4a<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <times id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\"\/>\n <apply id=\"p1.1.m1.1.11.2.cmml\" xref=\"p1.1.m1.1.11.2\">\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u22c5<\/ci>\n <apply id=\"p1.1.m1.1.11.2.1.2.cmml\" xref=\"p1.1.m1.1.11.2.1\">\n <plus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udd41<\/ci>\n <apply id=\"p1.1.m1.1.11.2.1.2.1.cmml\" xref=\"p1.1.m1.1.11.2.1.2.1\">\n <times id=\"p1.1.m1.1.11.2.1.2.1.1.cmml\" xref=\"p1.1.m1.1.11.2.1.2.1.1\"\/>\n <apply id=\"p1.1.m1.1.11.2.1.2.1.2.cmml\" xref=\"p1.1.m1.1.11.2.1.2.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.11.2.1.2.1.2.1.cmml\" xref=\"p1.1.m1.1.11.2.1.2.1.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">italic-\u03f5<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">0<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <divide id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.6.2.cmml\" xref=\"p1.1.m1.1.6.2\">\n <partialdiff id=\"p1.1.m1.1.6.2.1.cmml\" xref=\"p1.1.m1.1.6.2.1\"\/>\n <ci id=\"p1.1.m1.1.6.2.2.cmml\" xref=\"p1.1.m1.1.6.2.2\">\ud835\udd3c<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.6.3.cmml\" xref=\"p1.1.m1.1.6.3\">\n <partialdiff id=\"p1.1.m1.1.6.3.1.cmml\" xref=\"p1.1.m1.1.6.3.1\"\/>\n <ci id=\"p1.1.m1.1.6.3.2.cmml\" xref=\"p1.1.m1.1.6.3.2\">\ud835\udc61<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">d<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udd4a<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\left(\\mathbb{J}+\\epsilon_{0}\\frac{\\partial\\mathbb%\n{E}}{\\partial t}\\right)\\cdot{\\rm d}\\mathbb{S}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\bold{P} = ",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathbf {P}}=}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">P<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>=<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathbf {P}}=}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbb{P}=}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2119<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\"\/>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2119<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">absent<\/csymbol>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbb{P}=}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "{\\scriptstyle \\partial \\Omega}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\scriptstyle \\partial \\Omega }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"1\">\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi mathvariant=\"normal\">Ω<!-- \u03a9 --><\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\scriptstyle \\partial \\Omega }}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle{\\scriptstyle\\partial\\Omega}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mo mathsize=\"70%\" stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\u2061<\/mo>\n <mi mathsize=\"70%\" mathvariant=\"normal\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u03a9<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <partialdiff id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u03a9<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle{\\scriptstyle\\partial\\Omega}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\bold{T} \\cdot {\\rm d}^3\\boldsymbol{\\Sigma} = 0",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathbf {T}}\\cdot {\\rm {d}}^{3}{\\boldsymbol {\\Sigma }}=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">T<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">Σ<!-- \u03a3 --><\/mi>\n <\/mrow>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathbf {T}}\\cdot {\\rm {d}}^{3}{\\boldsymbol {\\Sigma }}=0}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbb{T}\\cdot{\\rm d}^{3}\\boldsymbol{\\Sigma}=0}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mrow id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.8.1.2\" xref=\"p1.1.m1.1.8.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udd4b<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u22c5<\/mo>\n <msup id=\"p1.1.m1.1.8.1.2.1\" xref=\"p1.1.m1.1.8.1.2.1.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">d<\/mi>\n <mn id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">3<\/mn>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8.1.1\" xref=\"p1.1.m1.1.8.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udeba<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <eq id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\n <times id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.8.1.1\"\/>\n <apply id=\"p1.1.m1.1.8.1.2.cmml\" xref=\"p1.1.m1.1.8.1.2\">\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u22c5<\/ci>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udd4b<\/ci>\n <apply id=\"p1.1.m1.1.8.1.2.1.cmml\" xref=\"p1.1.m1.1.8.1.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.2.1.1.cmml\" xref=\"p1.1.m1.1.8.1.2.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">d<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\">3<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udeba<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbb{T}\\cdot{\\rm d}^{3}\\boldsymbol{\\Sigma}=0}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\bold{P} = ",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathbf {P}}=}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">P<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>=<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathbf {P}}=}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbb{P}=}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2119<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\"\/>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\u2119<\/ci>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">absent<\/csymbol>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbb{P}=}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "{\\scriptstyle \\partial \\Omega}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\scriptstyle \\partial \\Omega }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"1\">\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi mathvariant=\"normal\">Ω<!-- \u03a9 --><\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\scriptstyle \\partial \\Omega }}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle{\\scriptstyle\\partial\\Omega}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mo mathsize=\"70%\" stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\u2061<\/mo>\n <mi mathsize=\"70%\" mathvariant=\"normal\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u03a9<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <partialdiff id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u03a9<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle{\\scriptstyle\\partial\\Omega}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\bold{T} \\cdot {\\rm d}^3\\boldsymbol{\\Sigma} = 0",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathbf {T}}\\cdot {\\rm {d}}^{3}{\\boldsymbol {\\Sigma }}=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">T<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>⋅<!-- \u22c5 --><\/mo>\n <msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">Σ<!-- \u03a3 --><\/mi>\n <\/mrow>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathbf {T}}\\cdot {\\rm {d}}^{3}{\\boldsymbol {\\Sigma }}=0}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\mathbb{T}\\cdot{\\rm d}^{3}\\boldsymbol{\\Sigma}=0}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mrow id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.8.1.2\" xref=\"p1.1.m1.1.8.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\ud835\udd4b<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\u22c5<\/mo>\n <msup id=\"p1.1.m1.1.8.1.2.1\" xref=\"p1.1.m1.1.8.1.2.1.cmml\">\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">d<\/mi>\n <mn id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">3<\/mn>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8.1.1\" xref=\"p1.1.m1.1.8.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\ud835\udeba<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <eq id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\n <times id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.8.1.1\"\/>\n <apply id=\"p1.1.m1.1.8.1.2.cmml\" xref=\"p1.1.m1.1.8.1.2\">\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\u22c5<\/ci>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udd4b<\/ci>\n <apply id=\"p1.1.m1.1.8.1.2.1.cmml\" xref=\"p1.1.m1.1.8.1.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.2.1.1.cmml\" xref=\"p1.1.m1.1.8.1.2.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">d<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\">3<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udeba<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\mathbb{T}\\cdot{\\rm d}^{3}\\boldsymbol{\\Sigma}=0}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\overset{\\frown}{AB}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\overset {\\frown }{AB}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>A<\/mi>\n <mi>B<\/mi>\n <\/mrow>\n <mo>⌢<!-- \u2322 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\overset {\\frown }{AB}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\overset{\\frown}{AB}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1\" xref=\"p1.1.m1.1.1.2.1.cmml\">A<\/mi>\n <mo id=\"p1.1.m1.1.1.2.3\" xref=\"p1.1.m1.1.1.2.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.1.2.2\" xref=\"p1.1.m1.1.1.2.2.cmml\">B<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\u2322<\/mo>\n <\/mover>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\u2322<\/ci>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n <times id=\"p1.1.m1.1.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.3\"\/>\n <ci id=\"p1.1.m1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.1\">\ud835\udc34<\/ci>\n <ci id=\"p1.1.m1.1.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2\">\ud835\udc35<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\overset{\\frown}{AB}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "ax^2 + bx + c = 0",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle ax^{2}+bx+c=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mi>b<\/mi>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mi>c<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle ax^{2}+bx+c=0}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle ax^{2}+bx+c=0}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mrow id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mrow id=\"p1.1.m1.1.11.1.1\" xref=\"p1.1.m1.1.11.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.11.1.1.1\" xref=\"p1.1.m1.1.11.1.1.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.11.1.1.2\" xref=\"p1.1.m1.1.11.1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.11.1.2\" xref=\"p1.1.m1.1.11.1.2.cmml\">\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">b<\/mi>\n <mo id=\"p1.1.m1.1.11.1.2.1\" xref=\"p1.1.m1.1.11.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">x<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">c<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <eq id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\"\/>\n <apply id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">\n <plus id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <apply id=\"p1.1.m1.1.11.1.1.cmml\" xref=\"p1.1.m1.1.11.1.1\">\n <times id=\"p1.1.m1.1.11.1.1.1.cmml\" xref=\"p1.1.m1.1.11.1.1.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <apply id=\"p1.1.m1.1.11.1.1.2.cmml\" xref=\"p1.1.m1.1.11.1.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.11.1.1.2.1.cmml\" xref=\"p1.1.m1.1.11.1.1.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.11.1.2.cmml\" xref=\"p1.1.m1.1.11.1.2\">\n <times id=\"p1.1.m1.1.11.1.2.1.cmml\" xref=\"p1.1.m1.1.11.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4f<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc65<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc50<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle ax^{2}+bx+c=0}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "ax^2 + bx + c = 0",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle ax^{2}+bx+c=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mi>b<\/mi>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mi>c<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle ax^{2}+bx+c=0}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle ax^{2}+bx+c=0}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mrow id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\n <mrow id=\"p1.1.m1.1.11.1.1\" xref=\"p1.1.m1.1.11.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.11.1.1.1\" xref=\"p1.1.m1.1.11.1.1.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.11.1.1.2\" xref=\"p1.1.m1.1.11.1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.11.1.2\" xref=\"p1.1.m1.1.11.1.2.cmml\">\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">b<\/mi>\n <mo id=\"p1.1.m1.1.11.1.2.1\" xref=\"p1.1.m1.1.11.1.2.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">x<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">c<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <eq id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\"\/>\n <apply id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">\n <plus id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <apply id=\"p1.1.m1.1.11.1.1.cmml\" xref=\"p1.1.m1.1.11.1.1\">\n <times id=\"p1.1.m1.1.11.1.1.1.cmml\" xref=\"p1.1.m1.1.11.1.1.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc4e<\/ci>\n <apply id=\"p1.1.m1.1.11.1.1.2.cmml\" xref=\"p1.1.m1.1.11.1.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.11.1.1.2.1.cmml\" xref=\"p1.1.m1.1.11.1.1.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.11.1.2.cmml\" xref=\"p1.1.m1.1.11.1.2\">\n <times id=\"p1.1.m1.1.11.1.2.1.cmml\" xref=\"p1.1.m1.1.11.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4f<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc65<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc50<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle ax^{2}+bx+c=0}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "x={-b\\pm\\sqrt{b^2-4ac} \\over 2a}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x={-b\\pm {\\sqrt {b^{2}-4ac}} \\over 2a}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>x<\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>b<\/mi>\n <mo>±<!-- \u00b1 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <msup>\n <mi>b<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>−<!-- \u2212 --><\/mo>\n <mn>4<\/mn>\n <mi>a<\/mi>\n <mi>c<\/mi>\n <\/msqrt>\n <\/mrow>\n <\/mrow>\n <mrow>\n <mn>2<\/mn>\n <mi>a<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x={-b\\pm {\\sqrt {b^{2}-4ac}} \\over 2a}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle x={-b\\pm\\sqrt{b^{2}-4ac}\\over 2a}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mfrac id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\n <mrow id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">\n <mrow id=\"p1.1.m1.1.3.2.5\" xref=\"p1.1.m1.1.3.2.5.cmml\">\n <mo id=\"p1.1.m1.1.3.2.1\" xref=\"p1.1.m1.1.3.2.1.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.3.2.2\" xref=\"p1.1.m1.1.3.2.2.cmml\">b<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3.2.3\" xref=\"p1.1.m1.1.3.2.3.cmml\">\u00b1<\/mo>\n <msqrt id=\"p1.1.m1.1.3.2.4\" xref=\"p1.1.m1.1.3.2.4.cmml\">\n <mrow id=\"p1.1.m1.1.3.2.4.2\" xref=\"p1.1.m1.1.3.2.4.2.cmml\">\n <msup id=\"p1.1.m1.1.3.2.4.2.7\" xref=\"p1.1.m1.1.3.2.4.2.7.cmml\">\n <mi id=\"p1.1.m1.1.3.2.4.2.1\" xref=\"p1.1.m1.1.3.2.4.2.1.cmml\">b<\/mi>\n <mn id=\"p1.1.m1.1.3.2.4.2.2.1\" xref=\"p1.1.m1.1.3.2.4.2.2.1.cmml\">2<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.3.2.4.2.3\" xref=\"p1.1.m1.1.3.2.4.2.3.cmml\">-<\/mo>\n <mrow id=\"p1.1.m1.1.3.2.4.2.8\" xref=\"p1.1.m1.1.3.2.4.2.8.cmml\">\n <mn id=\"p1.1.m1.1.3.2.4.2.4\" xref=\"p1.1.m1.1.3.2.4.2.4.cmml\">4<\/mn>\n <mo id=\"p1.1.m1.1.3.2.4.2.8.1\" xref=\"p1.1.m1.1.3.2.4.2.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3.2.4.2.5\" xref=\"p1.1.m1.1.3.2.4.2.5.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.3.2.4.2.8.1a\" xref=\"p1.1.m1.1.3.2.4.2.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3.2.4.2.6\" xref=\"p1.1.m1.1.3.2.4.2.6.cmml\">c<\/mi>\n <\/mrow>\n <\/mrow>\n <\/msqrt>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.3.3\" xref=\"p1.1.m1.1.3.3.cmml\">\n <mn id=\"p1.1.m1.1.3.3.1\" xref=\"p1.1.m1.1.3.3.1.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.3.3.3\" xref=\"p1.1.m1.1.3.3.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3.3.2\" xref=\"p1.1.m1.1.3.3.2.cmml\">a<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc65<\/ci>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <divide id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.2.3.cmml\" xref=\"p1.1.m1.1.3.2.3\">plus-or-minus<\/csymbol>\n <apply id=\"p1.1.m1.1.3.2.5.cmml\" xref=\"p1.1.m1.1.3.2.5\">\n <minus id=\"p1.1.m1.1.3.2.1.cmml\" xref=\"p1.1.m1.1.3.2.1\"\/>\n <ci id=\"p1.1.m1.1.3.2.2.cmml\" xref=\"p1.1.m1.1.3.2.2\">\ud835\udc4f<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.2.4.cmml\" xref=\"p1.1.m1.1.3.2.4\">\n <root id=\"p1.1.m1.1.3.2.4a.cmml\" xref=\"p1.1.m1.1.3.2.4\"\/>\n <apply id=\"p1.1.m1.1.3.2.4.2.cmml\" xref=\"p1.1.m1.1.3.2.4.2\">\n <minus id=\"p1.1.m1.1.3.2.4.2.3.cmml\" xref=\"p1.1.m1.1.3.2.4.2.3\"\/>\n <apply id=\"p1.1.m1.1.3.2.4.2.7.cmml\" xref=\"p1.1.m1.1.3.2.4.2.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.3.2.4.2.7.1.cmml\" xref=\"p1.1.m1.1.3.2.4.2.7\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.3.2.4.2.1.cmml\" xref=\"p1.1.m1.1.3.2.4.2.1\">\ud835\udc4f<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.2.4.2.2.1.cmml\" xref=\"p1.1.m1.1.3.2.4.2.2.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.2.4.2.8.cmml\" xref=\"p1.1.m1.1.3.2.4.2.8\">\n <times id=\"p1.1.m1.1.3.2.4.2.8.1.cmml\" xref=\"p1.1.m1.1.3.2.4.2.8.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.2.4.2.4.cmml\" xref=\"p1.1.m1.1.3.2.4.2.4\">4<\/cn>\n <ci id=\"p1.1.m1.1.3.2.4.2.5.cmml\" xref=\"p1.1.m1.1.3.2.4.2.5\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.3.2.4.2.6.cmml\" xref=\"p1.1.m1.1.3.2.4.2.6\">\ud835\udc50<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.3.cmml\" xref=\"p1.1.m1.1.3.3\">\n <times id=\"p1.1.m1.1.3.3.3.cmml\" xref=\"p1.1.m1.1.3.3.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.3.1.cmml\" xref=\"p1.1.m1.1.3.3.1\">2<\/cn>\n <ci id=\"p1.1.m1.1.3.3.2.cmml\" xref=\"p1.1.m1.1.3.3.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle x={-b\\pm\\sqrt{b^{2}-4ac}\\over 2a}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "x={-b\\pm\\sqrt{b^2-4ac} \\over 2a}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x={-b\\pm {\\sqrt {b^{2}-4ac}} \\over 2a}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>x<\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>b<\/mi>\n <mo>±<!-- \u00b1 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <msup>\n <mi>b<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>−<!-- \u2212 --><\/mo>\n <mn>4<\/mn>\n <mi>a<\/mi>\n <mi>c<\/mi>\n <\/msqrt>\n <\/mrow>\n <\/mrow>\n <mrow>\n <mn>2<\/mn>\n <mi>a<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x={-b\\pm {\\sqrt {b^{2}-4ac}} \\over 2a}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle x={-b\\pm\\sqrt{b^{2}-4ac}\\over 2a}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mfrac id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\n <mrow id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">\n <mrow id=\"p1.1.m1.1.3.2.5\" xref=\"p1.1.m1.1.3.2.5.cmml\">\n <mo id=\"p1.1.m1.1.3.2.1\" xref=\"p1.1.m1.1.3.2.1.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.3.2.2\" xref=\"p1.1.m1.1.3.2.2.cmml\">b<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3.2.3\" xref=\"p1.1.m1.1.3.2.3.cmml\">\u00b1<\/mo>\n <msqrt id=\"p1.1.m1.1.3.2.4\" xref=\"p1.1.m1.1.3.2.4.cmml\">\n <mrow id=\"p1.1.m1.1.3.2.4.2\" xref=\"p1.1.m1.1.3.2.4.2.cmml\">\n <msup id=\"p1.1.m1.1.3.2.4.2.7\" xref=\"p1.1.m1.1.3.2.4.2.7.cmml\">\n <mi id=\"p1.1.m1.1.3.2.4.2.1\" xref=\"p1.1.m1.1.3.2.4.2.1.cmml\">b<\/mi>\n <mn id=\"p1.1.m1.1.3.2.4.2.2.1\" xref=\"p1.1.m1.1.3.2.4.2.2.1.cmml\">2<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.3.2.4.2.3\" xref=\"p1.1.m1.1.3.2.4.2.3.cmml\">-<\/mo>\n <mrow id=\"p1.1.m1.1.3.2.4.2.8\" xref=\"p1.1.m1.1.3.2.4.2.8.cmml\">\n <mn id=\"p1.1.m1.1.3.2.4.2.4\" xref=\"p1.1.m1.1.3.2.4.2.4.cmml\">4<\/mn>\n <mo id=\"p1.1.m1.1.3.2.4.2.8.1\" xref=\"p1.1.m1.1.3.2.4.2.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3.2.4.2.5\" xref=\"p1.1.m1.1.3.2.4.2.5.cmml\">a<\/mi>\n <mo id=\"p1.1.m1.1.3.2.4.2.8.1a\" xref=\"p1.1.m1.1.3.2.4.2.8.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3.2.4.2.6\" xref=\"p1.1.m1.1.3.2.4.2.6.cmml\">c<\/mi>\n <\/mrow>\n <\/mrow>\n <\/msqrt>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.3.3\" xref=\"p1.1.m1.1.3.3.cmml\">\n <mn id=\"p1.1.m1.1.3.3.1\" xref=\"p1.1.m1.1.3.3.1.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.3.3.3\" xref=\"p1.1.m1.1.3.3.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.3.3.2\" xref=\"p1.1.m1.1.3.3.2.cmml\">a<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc65<\/ci>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <divide id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.3.2.3.cmml\" xref=\"p1.1.m1.1.3.2.3\">plus-or-minus<\/csymbol>\n <apply id=\"p1.1.m1.1.3.2.5.cmml\" xref=\"p1.1.m1.1.3.2.5\">\n <minus id=\"p1.1.m1.1.3.2.1.cmml\" xref=\"p1.1.m1.1.3.2.1\"\/>\n <ci id=\"p1.1.m1.1.3.2.2.cmml\" xref=\"p1.1.m1.1.3.2.2\">\ud835\udc4f<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.2.4.cmml\" xref=\"p1.1.m1.1.3.2.4\">\n <root id=\"p1.1.m1.1.3.2.4a.cmml\" xref=\"p1.1.m1.1.3.2.4\"\/>\n <apply id=\"p1.1.m1.1.3.2.4.2.cmml\" xref=\"p1.1.m1.1.3.2.4.2\">\n <minus id=\"p1.1.m1.1.3.2.4.2.3.cmml\" xref=\"p1.1.m1.1.3.2.4.2.3\"\/>\n <apply id=\"p1.1.m1.1.3.2.4.2.7.cmml\" xref=\"p1.1.m1.1.3.2.4.2.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.3.2.4.2.7.1.cmml\" xref=\"p1.1.m1.1.3.2.4.2.7\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.3.2.4.2.1.cmml\" xref=\"p1.1.m1.1.3.2.4.2.1\">\ud835\udc4f<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.2.4.2.2.1.cmml\" xref=\"p1.1.m1.1.3.2.4.2.2.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.2.4.2.8.cmml\" xref=\"p1.1.m1.1.3.2.4.2.8\">\n <times id=\"p1.1.m1.1.3.2.4.2.8.1.cmml\" xref=\"p1.1.m1.1.3.2.4.2.8.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.2.4.2.4.cmml\" xref=\"p1.1.m1.1.3.2.4.2.4\">4<\/cn>\n <ci id=\"p1.1.m1.1.3.2.4.2.5.cmml\" xref=\"p1.1.m1.1.3.2.4.2.5\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.3.2.4.2.6.cmml\" xref=\"p1.1.m1.1.3.2.4.2.6\">\ud835\udc50<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.3.cmml\" xref=\"p1.1.m1.1.3.3\">\n <times id=\"p1.1.m1.1.3.3.3.cmml\" xref=\"p1.1.m1.1.3.3.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.3.1.cmml\" xref=\"p1.1.m1.1.3.3.1\">2<\/cn>\n <ci id=\"p1.1.m1.1.3.3.2.cmml\" xref=\"p1.1.m1.1.3.3.2\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle x={-b\\pm\\sqrt{b^{2}-4ac}\\over 2a}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "2 = \\left( \\frac{\\left(3-x\\right) \\times 2}{3-x} \\right)",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle 2=\\left({\\frac {\\left(3-x\\right)\\times 2}{3-x}}\\right)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mn>2<\/mn>\n <mo>=<\/mo>\n <mrow>\n <mo>(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mn>3<\/mn>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>x<\/mi>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mo>×<!-- \u00d7 --><\/mo>\n <mn>2<\/mn>\n <\/mrow>\n <mrow>\n <mn>3<\/mn>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle 2=\\left({\\frac {\\left(3-x\\right)\\times 2}{3-x}}\\right)}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle 2=\\left(\\frac{\\left(3-x\\right)\\times 2}{3-x}% \\right)}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mn id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.4.cmml\">\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.4.cmml\">(<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mfrac id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\n <mrow id=\"p1.1.m1.1.4.2\" xref=\"p1.1.m1.1.4.2.cmml\">\n <mrow id=\"p1.1.m1.1.4.2.8\" xref=\"p1.1.m1.1.4.2.8.2.cmml\">\n <mo id=\"p1.1.m1.1.4.2.1\" xref=\"p1.1.m1.1.4.2.8.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.4.2.8.2\" xref=\"p1.1.m1.1.4.2.8.2.cmml\">\n <mn id=\"p1.1.m1.1.4.2.2\" xref=\"p1.1.m1.1.4.2.2.cmml\">3<\/mn>\n <mo id=\"p1.1.m1.1.4.2.3\" xref=\"p1.1.m1.1.4.2.3.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.4.2.4\" xref=\"p1.1.m1.1.4.2.4.cmml\">x<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4.2.5\" xref=\"p1.1.m1.1.4.2.8.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4.2.6\" xref=\"p1.1.m1.1.4.2.6.cmml\">\u00d7<\/mo>\n <mn id=\"p1.1.m1.1.4.2.7\" xref=\"p1.1.m1.1.4.2.7.cmml\">2<\/mn>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.4.3\" xref=\"p1.1.m1.1.4.3.cmml\">\n <mn id=\"p1.1.m1.1.4.3.1\" xref=\"p1.1.m1.1.4.3.1.cmml\">3<\/mn>\n <mo id=\"p1.1.m1.1.4.3.2\" xref=\"p1.1.m1.1.4.3.2.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.4.3.3\" xref=\"p1.1.m1.1.4.3.3.cmml\">x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.4.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">2<\/cn>\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.6.1\">\n <divide id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <apply id=\"p1.1.m1.1.4.2.cmml\" xref=\"p1.1.m1.1.4.2\">\n <times id=\"p1.1.m1.1.4.2.6.cmml\" xref=\"p1.1.m1.1.4.2.6\"\/>\n <apply id=\"p1.1.m1.1.4.2.8.2.cmml\" xref=\"p1.1.m1.1.4.2.8\">\n <minus id=\"p1.1.m1.1.4.2.3.cmml\" xref=\"p1.1.m1.1.4.2.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.2.2.cmml\" xref=\"p1.1.m1.1.4.2.2\">3<\/cn>\n <ci id=\"p1.1.m1.1.4.2.4.cmml\" xref=\"p1.1.m1.1.4.2.4\">\ud835\udc65<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.2.7.cmml\" xref=\"p1.1.m1.1.4.2.7\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.4.3.cmml\" xref=\"p1.1.m1.1.4.3\">\n <minus id=\"p1.1.m1.1.4.3.2.cmml\" xref=\"p1.1.m1.1.4.3.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.3.1.cmml\" xref=\"p1.1.m1.1.4.3.1\">3<\/cn>\n <ci id=\"p1.1.m1.1.4.3.3.cmml\" xref=\"p1.1.m1.1.4.3.3\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle 2=\\left(\\frac{\\left(3-x\\right)\\times 2}{3-x}%\n\\right)}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "2 = \\left(\n\\frac{\\left(3-x\\right) \\times 2}{3-x}\n\\right)",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle 2=\\left({\\frac {\\left(3-x\\right)\\times 2}{3-x}}\\right)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mn>2<\/mn>\n <mo>=<\/mo>\n <mrow>\n <mo>(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mn>3<\/mn>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>x<\/mi>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mo>×<!-- \u00d7 --><\/mo>\n <mn>2<\/mn>\n <\/mrow>\n <mrow>\n <mn>3<\/mn>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle 2=\\left({\\frac {\\left(3-x\\right)\\times 2}{3-x}}\\right)}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle 2=\\left(\\frac{\\left(3-x\\right)\\times 2}{3-x}% \\right)}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <mn id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.4.cmml\">\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.4.cmml\">(<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mfrac id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\n <mrow id=\"p1.1.m1.1.4.2\" xref=\"p1.1.m1.1.4.2.cmml\">\n <mrow id=\"p1.1.m1.1.4.2.8\" xref=\"p1.1.m1.1.4.2.8.2.cmml\">\n <mo id=\"p1.1.m1.1.4.2.1\" xref=\"p1.1.m1.1.4.2.8.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.4.2.8.2\" xref=\"p1.1.m1.1.4.2.8.2.cmml\">\n <mn id=\"p1.1.m1.1.4.2.2\" xref=\"p1.1.m1.1.4.2.2.cmml\">3<\/mn>\n <mo id=\"p1.1.m1.1.4.2.3\" xref=\"p1.1.m1.1.4.2.3.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.4.2.4\" xref=\"p1.1.m1.1.4.2.4.cmml\">x<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4.2.5\" xref=\"p1.1.m1.1.4.2.8.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4.2.6\" xref=\"p1.1.m1.1.4.2.6.cmml\">\u00d7<\/mo>\n <mn id=\"p1.1.m1.1.4.2.7\" xref=\"p1.1.m1.1.4.2.7.cmml\">2<\/mn>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.4.3\" xref=\"p1.1.m1.1.4.3.cmml\">\n <mn id=\"p1.1.m1.1.4.3.1\" xref=\"p1.1.m1.1.4.3.1.cmml\">3<\/mn>\n <mo id=\"p1.1.m1.1.4.3.2\" xref=\"p1.1.m1.1.4.3.2.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.4.3.3\" xref=\"p1.1.m1.1.4.3.3.cmml\">x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.4.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">2<\/cn>\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.6.1\">\n <divide id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <apply id=\"p1.1.m1.1.4.2.cmml\" xref=\"p1.1.m1.1.4.2\">\n <times id=\"p1.1.m1.1.4.2.6.cmml\" xref=\"p1.1.m1.1.4.2.6\"\/>\n <apply id=\"p1.1.m1.1.4.2.8.2.cmml\" xref=\"p1.1.m1.1.4.2.8\">\n <minus id=\"p1.1.m1.1.4.2.3.cmml\" xref=\"p1.1.m1.1.4.2.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.2.2.cmml\" xref=\"p1.1.m1.1.4.2.2\">3<\/cn>\n <ci id=\"p1.1.m1.1.4.2.4.cmml\" xref=\"p1.1.m1.1.4.2.4\">\ud835\udc65<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.2.7.cmml\" xref=\"p1.1.m1.1.4.2.7\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.4.3.cmml\" xref=\"p1.1.m1.1.4.3\">\n <minus id=\"p1.1.m1.1.4.3.2.cmml\" xref=\"p1.1.m1.1.4.3.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.3.1.cmml\" xref=\"p1.1.m1.1.4.3.1\">3<\/cn>\n <ci id=\"p1.1.m1.1.4.3.3.cmml\" xref=\"p1.1.m1.1.4.3.3\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle 2=\\left(\\frac{\\left(3-x\\right)\\times 2}{3-x}%\n\\right)}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "S_{\\text{new}} = S_{\\text{old}} - \\frac{ \\left( 5-T \\right) ^2} {2}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle S_{\\text{new}}=S_{\\text{old}}-{\\frac {\\left(5-T\\right)^{2}}{2}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>S<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>new<\/mtext>\n <\/mrow>\n <\/msub>\n <mo>=<\/mo>\n <msub>\n <mi>S<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>old<\/mtext>\n <\/mrow>\n <\/msub>\n <mo>−<!-- \u2212 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <msup>\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mn>5<\/mn>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>T<\/mi>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mn>2<\/mn>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle S_{\\text{new}}=S_{\\text{old}}-{\\frac {\\left(5-T\\right)^{2}}{2}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle S_{\\text{new}}=S_{\\text{old}}-\\frac{\\left(5-T% \\right)^{2}}{2}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <msub id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">S<\/mi>\n <mtext id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1a.cmml\">new<\/mtext>\n <\/msub>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.cmml\">\n <msub id=\"p1.1.m1.1.8.2.1\" xref=\"p1.1.m1.1.8.2.1.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">S<\/mi>\n <mtext id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1a.cmml\">old<\/mtext>\n <\/msub>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">-<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mfrac id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <msup id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.2.cmml\">\n <mrow id=\"p1.1.m1.1.7.2.8\" xref=\"p1.1.m1.1.7.2.8.2.cmml\">\n <mo id=\"p1.1.m1.1.7.2.1\" xref=\"p1.1.m1.1.7.2.8.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.7.2.8.2\" xref=\"p1.1.m1.1.7.2.8.2.cmml\">\n <mn id=\"p1.1.m1.1.7.2.2\" xref=\"p1.1.m1.1.7.2.2.cmml\">5<\/mn>\n <mo id=\"p1.1.m1.1.7.2.3\" xref=\"p1.1.m1.1.7.2.3.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.7.2.4\" xref=\"p1.1.m1.1.7.2.4.cmml\">T<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7.2.5\" xref=\"p1.1.m1.1.7.2.8.2.cmml\">)<\/mo>\n <\/mrow>\n <mn id=\"p1.1.m1.1.7.2.6.1\" xref=\"p1.1.m1.1.7.2.6.1.cmml\">2<\/mn>\n <\/msup>\n <mn id=\"p1.1.m1.1.7.3\" xref=\"p1.1.m1.1.7.3.cmml\">2<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <eq id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.8.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc46<\/ci>\n <ci id=\"p1.1.m1.1.2.1a.cmml\" xref=\"p1.1.m1.1.2.1\">\n <mtext mathsize=\"70%\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">new<\/mtext>\n <\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.8.2.cmml\" xref=\"p1.1.m1.1.8.2\">\n <minus id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.8.2.1.cmml\" xref=\"p1.1.m1.1.8.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.2.1.1.cmml\" xref=\"p1.1.m1.1.8.2.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc46<\/ci>\n <ci id=\"p1.1.m1.1.5.1a.cmml\" xref=\"p1.1.m1.1.5.1\">\n <mtext mathsize=\"70%\" id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">old<\/mtext>\n <\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <divide id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <apply id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.2.7.cmml\" xref=\"p1.1.m1.1.7.2\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.7.2.8.2.cmml\" xref=\"p1.1.m1.1.7.2.8\">\n <minus id=\"p1.1.m1.1.7.2.3.cmml\" xref=\"p1.1.m1.1.7.2.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.2.cmml\" xref=\"p1.1.m1.1.7.2.2\">5<\/cn>\n <ci id=\"p1.1.m1.1.7.2.4.cmml\" xref=\"p1.1.m1.1.7.2.4\">\ud835\udc47<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.6.1.cmml\" xref=\"p1.1.m1.1.7.2.6.1\">2<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.cmml\" xref=\"p1.1.m1.1.7.3\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle S_{\\text{new}}=S_{\\text{old}}-\\frac{\\left(5-T%\n\\right)^{2}}{2}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "S_{\\text{new}} = S_{\\text{old}} - \\frac{ \\left( 5-T \\right) ^2} {2}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle S_{\\text{new}}=S_{\\text{old}}-{\\frac {\\left(5-T\\right)^{2}}{2}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>S<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>new<\/mtext>\n <\/mrow>\n <\/msub>\n <mo>=<\/mo>\n <msub>\n <mi>S<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>old<\/mtext>\n <\/mrow>\n <\/msub>\n <mo>−<!-- \u2212 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <msup>\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mn>5<\/mn>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>T<\/mi>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mn>2<\/mn>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle S_{\\text{new}}=S_{\\text{old}}-{\\frac {\\left(5-T\\right)^{2}}{2}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle S_{\\text{new}}=S_{\\text{old}}-\\frac{\\left(5-T% \\right)^{2}}{2}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <msub id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">S<\/mi>\n <mtext id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1a.cmml\">new<\/mtext>\n <\/msub>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.cmml\">\n <msub id=\"p1.1.m1.1.8.2.1\" xref=\"p1.1.m1.1.8.2.1.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">S<\/mi>\n <mtext id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1a.cmml\">old<\/mtext>\n <\/msub>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">-<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mfrac id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <msup id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.2.cmml\">\n <mrow id=\"p1.1.m1.1.7.2.8\" xref=\"p1.1.m1.1.7.2.8.2.cmml\">\n <mo id=\"p1.1.m1.1.7.2.1\" xref=\"p1.1.m1.1.7.2.8.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.7.2.8.2\" xref=\"p1.1.m1.1.7.2.8.2.cmml\">\n <mn id=\"p1.1.m1.1.7.2.2\" xref=\"p1.1.m1.1.7.2.2.cmml\">5<\/mn>\n <mo id=\"p1.1.m1.1.7.2.3\" xref=\"p1.1.m1.1.7.2.3.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.7.2.4\" xref=\"p1.1.m1.1.7.2.4.cmml\">T<\/mi>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7.2.5\" xref=\"p1.1.m1.1.7.2.8.2.cmml\">)<\/mo>\n <\/mrow>\n <mn id=\"p1.1.m1.1.7.2.6.1\" xref=\"p1.1.m1.1.7.2.6.1.cmml\">2<\/mn>\n <\/msup>\n <mn id=\"p1.1.m1.1.7.3\" xref=\"p1.1.m1.1.7.3.cmml\">2<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <eq id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.8.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc46<\/ci>\n <ci id=\"p1.1.m1.1.2.1a.cmml\" xref=\"p1.1.m1.1.2.1\">\n <mtext mathsize=\"70%\" id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">new<\/mtext>\n <\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.8.2.cmml\" xref=\"p1.1.m1.1.8.2\">\n <minus id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.8.2.1.cmml\" xref=\"p1.1.m1.1.8.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.2.1.1.cmml\" xref=\"p1.1.m1.1.8.2.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc46<\/ci>\n <ci id=\"p1.1.m1.1.5.1a.cmml\" xref=\"p1.1.m1.1.5.1\">\n <mtext mathsize=\"70%\" id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">old<\/mtext>\n <\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <divide id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <apply id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.2.7.cmml\" xref=\"p1.1.m1.1.7.2\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.7.2.8.2.cmml\" xref=\"p1.1.m1.1.7.2.8\">\n <minus id=\"p1.1.m1.1.7.2.3.cmml\" xref=\"p1.1.m1.1.7.2.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.2.cmml\" xref=\"p1.1.m1.1.7.2.2\">5<\/cn>\n <ci id=\"p1.1.m1.1.7.2.4.cmml\" xref=\"p1.1.m1.1.7.2.4\">\ud835\udc47<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.6.1.cmml\" xref=\"p1.1.m1.1.7.2.6.1\">2<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.cmml\" xref=\"p1.1.m1.1.7.3\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle S_{\\text{new}}=S_{\\text{old}}-\\frac{\\left(5-T%\n\\right)^{2}}{2}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\int_a^x \\!\\!\\!\\int_a^s f(y)\\,dy\\,ds = \\int_a^x f(y)(x-y)\\,dy",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int _{a}^{x}\\!\\!\\!\\int _{a}^{s}f(y)\\,dy\\,ds=\\int _{a}^{x}f(y)(x-y)\\,dy}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msubsup>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/msubsup>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <msubsup>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>s<\/mi>\n <\/mrow>\n <\/msubsup>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>s<\/mi>\n <mo>=<\/mo>\n <msubsup>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/msubsup>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int _{a}^{x}\\!\\!\\!\\int _{a}^{s}f(y)\\,dy\\,ds=\\int _{a}^{x}f(y)(x-y)\\,dy}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\int_{a}^{x}\\!\\!\\!\\int_{a}^{s}f(y)\\,dy\\,ds=\\int_{a% }^{x}f(y)(x-y)\\,dy}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.36\" xref=\"p1.1.m1.1.36.cmml\">\n <mrow id=\"p1.1.m1.1.36.1\" xref=\"p1.1.m1.1.36.1.cmml\">\n <mpadded width=\"-5pt\" id=\"p1.1.m1.1.36.1.1\" xref=\"p1.1.m1.1.36.1.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.36.1.1a\" xref=\"p1.1.m1.1.36.1.1.cmml\">\n <msubsup id=\"p1.1.m1.1.36.1.1b\" xref=\"p1.1.m1.1.36.1.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222b<\/mo>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">x<\/mi>\n <\/msubsup>\n <\/mstyle>\n <\/mpadded>\n <mrow id=\"p1.1.m1.1.36.1.2\" xref=\"p1.1.m1.1.36.1.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.36.1.2.1\" xref=\"p1.1.m1.1.36.1.2.1.cmml\">\n <msubsup id=\"p1.1.m1.1.36.1.2.1a\" xref=\"p1.1.m1.1.36.1.2.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u222b<\/mo>\n <mi id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">s<\/mi>\n <\/msubsup>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.36.1.2.2\" xref=\"p1.1.m1.1.36.1.2.2.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.36.1.2.2.1\" xref=\"p1.1.m1.1.36.1.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.36.1.2.2.2\" xref=\"p1.1.m1.1.36.1.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.36.1.2.2.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">y<\/mi>\n <mo rspace=\"4.2pt\" stretchy=\"false\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.36.1.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.36.1.2.2.1a\" xref=\"p1.1.m1.1.36.1.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.36.1.2.2.3\" xref=\"p1.1.m1.1.36.1.2.2.3.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\ud835\udc51<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">\n <mi id=\"p1.1.m1.1.16a\" xref=\"p1.1.m1.1.16.cmml\">y<\/mi>\n <\/mpadded>\n <\/mrow>\n <mo id=\"p1.1.m1.1.36.1.2.2.1b\" xref=\"p1.1.m1.1.36.1.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.36.1.2.2.4\" xref=\"p1.1.m1.1.36.1.2.2.4.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">s<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.36.2\" xref=\"p1.1.m1.1.36.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.36.2.1\" xref=\"p1.1.m1.1.36.2.1.cmml\">\n <msubsup id=\"p1.1.m1.1.36.2.1a\" xref=\"p1.1.m1.1.36.2.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\u222b<\/mo>\n <mi id=\"p1.1.m1.1.22.1\" xref=\"p1.1.m1.1.22.1.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.23.1\" xref=\"p1.1.m1.1.23.1.cmml\">x<\/mi>\n <\/msubsup>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.36.2.2\" xref=\"p1.1.m1.1.36.2.2.cmml\">\n <mi id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.36.2.2.1\" xref=\"p1.1.m1.1.36.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.36.2.2.2\" xref=\"p1.1.m1.1.36.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.36.2.2.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.cmml\">y<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.36.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.36.2.2.1a\" xref=\"p1.1.m1.1.36.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.36.2.2.3\" xref=\"p1.1.m1.1.36.2.2.3.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.36.2.2.3.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.36.2.2.3.2\" xref=\"p1.1.m1.1.36.2.2.3.2.cmml\">\n <mi id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.29.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.30\" xref=\"p1.1.m1.1.30.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.31.cmml\">y<\/mi>\n <\/mrow>\n <mo rspace=\"4.2pt\" stretchy=\"false\" id=\"p1.1.m1.1.32\" xref=\"p1.1.m1.1.36.2.2.3.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.36.2.2.1b\" xref=\"p1.1.m1.1.36.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.36.2.2.4\" xref=\"p1.1.m1.1.36.2.2.4.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.34\" xref=\"p1.1.m1.1.34.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.35\" xref=\"p1.1.m1.1.35.cmml\">y<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.36.cmml\" xref=\"p1.1.m1.1.36\">\n <eq id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\"\/>\n <apply id=\"p1.1.m1.1.36.1.cmml\" xref=\"p1.1.m1.1.36.1\">\n <apply id=\"p1.1.m1.1.36.1.1.cmml\" xref=\"p1.1.m1.1.36.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.36.1.1.1.cmml\" xref=\"p1.1.m1.1.36.1.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.36.1.1.2.cmml\" xref=\"p1.1.m1.1.36.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.36.1.1.2.1.cmml\" xref=\"p1.1.m1.1.36.1.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc4e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.36.1.2.cmml\" xref=\"p1.1.m1.1.36.1.2\">\n <apply id=\"p1.1.m1.1.36.1.2.1.cmml\" xref=\"p1.1.m1.1.36.1.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.36.1.2.1.1.cmml\" xref=\"p1.1.m1.1.36.1.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.36.1.2.1.2.cmml\" xref=\"p1.1.m1.1.36.1.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.36.1.2.1.2.1.cmml\" xref=\"p1.1.m1.1.36.1.2.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <ci id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\ud835\udc4e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\ud835\udc60<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.36.1.2.2.cmml\" xref=\"p1.1.m1.1.36.1.2.2\">\n <times id=\"p1.1.m1.1.36.1.2.2.1.cmml\" xref=\"p1.1.m1.1.36.1.2.2.1\"\/>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc66<\/ci>\n <apply id=\"p1.1.m1.1.36.1.2.2.3.cmml\" xref=\"p1.1.m1.1.36.1.2.2.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">\ud835\udc66<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.36.1.2.2.4.cmml\" xref=\"p1.1.m1.1.36.1.2.2.4\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">\ud835\udc60<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.36.2.cmml\" xref=\"p1.1.m1.1.36.2\">\n <apply id=\"p1.1.m1.1.36.2.1.cmml\" xref=\"p1.1.m1.1.36.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.36.2.1.1.cmml\" xref=\"p1.1.m1.1.36.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.36.2.1.2.cmml\" xref=\"p1.1.m1.1.36.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.36.2.1.2.1.cmml\" xref=\"p1.1.m1.1.36.2.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\"\/>\n <ci id=\"p1.1.m1.1.22.1.cmml\" xref=\"p1.1.m1.1.22.1\">\ud835\udc4e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.23.1.cmml\" xref=\"p1.1.m1.1.23.1\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.36.2.2.cmml\" xref=\"p1.1.m1.1.36.2.2\">\n <times id=\"p1.1.m1.1.36.2.2.1.cmml\" xref=\"p1.1.m1.1.36.2.2.1\"\/>\n <ci id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.26.cmml\" xref=\"p1.1.m1.1.26\">\ud835\udc66<\/ci>\n <apply id=\"p1.1.m1.1.36.2.2.3.2.cmml\" xref=\"p1.1.m1.1.36.2.2.3\">\n <minus id=\"p1.1.m1.1.30.cmml\" xref=\"p1.1.m1.1.30\"\/>\n <ci id=\"p1.1.m1.1.29.cmml\" xref=\"p1.1.m1.1.29\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.31.cmml\" xref=\"p1.1.m1.1.31\">\ud835\udc66<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.36.2.2.4.cmml\" xref=\"p1.1.m1.1.36.2.2.4\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.34.cmml\" xref=\"p1.1.m1.1.34\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.35.cmml\" xref=\"p1.1.m1.1.35\">\ud835\udc66<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\int_{a}^{x}\\!\\!\\!\\int_{a}^{s}f(y)\\,dy\\,ds=\\int_{a%\n}^{x}f(y)(x-y)\\,dy}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\int_a^x \\!\\!\\!\\int_a^s f(y)\\,dy\\,ds\n= \\int_a^x f(y)(x-y)\\,dy",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int _{a}^{x}\\!\\!\\!\\int _{a}^{s}f(y)\\,dy\\,ds=\\int _{a}^{x}f(y)(x-y)\\,dy}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msubsup>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/msubsup>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <msubsup>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>s<\/mi>\n <\/mrow>\n <\/msubsup>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>s<\/mi>\n <mo>=<\/mo>\n <msubsup>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/msubsup>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int _{a}^{x}\\!\\!\\!\\int _{a}^{s}f(y)\\,dy\\,ds=\\int _{a}^{x}f(y)(x-y)\\,dy}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\int_{a}^{x}\\!\\!\\!\\int_{a}^{s}f(y)\\,dy\\,ds=\\int_{a% }^{x}f(y)(x-y)\\,dy}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.36\" xref=\"p1.1.m1.1.36.cmml\">\n <mrow id=\"p1.1.m1.1.36.1\" xref=\"p1.1.m1.1.36.1.cmml\">\n <mpadded width=\"-5pt\" id=\"p1.1.m1.1.36.1.1\" xref=\"p1.1.m1.1.36.1.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.36.1.1a\" xref=\"p1.1.m1.1.36.1.1.cmml\">\n <msubsup id=\"p1.1.m1.1.36.1.1b\" xref=\"p1.1.m1.1.36.1.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u222b<\/mo>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">x<\/mi>\n <\/msubsup>\n <\/mstyle>\n <\/mpadded>\n <mrow id=\"p1.1.m1.1.36.1.2\" xref=\"p1.1.m1.1.36.1.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.36.1.2.1\" xref=\"p1.1.m1.1.36.1.2.1.cmml\">\n <msubsup id=\"p1.1.m1.1.36.1.2.1a\" xref=\"p1.1.m1.1.36.1.2.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\u222b<\/mo>\n <mi id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">s<\/mi>\n <\/msubsup>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.36.1.2.2\" xref=\"p1.1.m1.1.36.1.2.2.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.36.1.2.2.1\" xref=\"p1.1.m1.1.36.1.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.36.1.2.2.2\" xref=\"p1.1.m1.1.36.1.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.36.1.2.2.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">y<\/mi>\n <mo rspace=\"4.2pt\" stretchy=\"false\" id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.36.1.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.36.1.2.2.1a\" xref=\"p1.1.m1.1.36.1.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.36.1.2.2.3\" xref=\"p1.1.m1.1.36.1.2.2.3.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\ud835\udc51<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">\n <mi id=\"p1.1.m1.1.16a\" xref=\"p1.1.m1.1.16.cmml\">y<\/mi>\n <\/mpadded>\n <\/mrow>\n <mo id=\"p1.1.m1.1.36.1.2.2.1b\" xref=\"p1.1.m1.1.36.1.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.36.1.2.2.4\" xref=\"p1.1.m1.1.36.1.2.2.4.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">s<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.36.2\" xref=\"p1.1.m1.1.36.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.36.2.1\" xref=\"p1.1.m1.1.36.2.1.cmml\">\n <msubsup id=\"p1.1.m1.1.36.2.1a\" xref=\"p1.1.m1.1.36.2.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\u222b<\/mo>\n <mi id=\"p1.1.m1.1.22.1\" xref=\"p1.1.m1.1.22.1.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.23.1\" xref=\"p1.1.m1.1.23.1.cmml\">x<\/mi>\n <\/msubsup>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.36.2.2\" xref=\"p1.1.m1.1.36.2.2.cmml\">\n <mi id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.36.2.2.1\" xref=\"p1.1.m1.1.36.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.36.2.2.2\" xref=\"p1.1.m1.1.36.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.36.2.2.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.cmml\">y<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.36.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.36.2.2.1a\" xref=\"p1.1.m1.1.36.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.36.2.2.3\" xref=\"p1.1.m1.1.36.2.2.3.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.36.2.2.3.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.36.2.2.3.2\" xref=\"p1.1.m1.1.36.2.2.3.2.cmml\">\n <mi id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.29.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.30\" xref=\"p1.1.m1.1.30.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.31.cmml\">y<\/mi>\n <\/mrow>\n <mo rspace=\"4.2pt\" stretchy=\"false\" id=\"p1.1.m1.1.32\" xref=\"p1.1.m1.1.36.2.2.3.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.36.2.2.1b\" xref=\"p1.1.m1.1.36.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.36.2.2.4\" xref=\"p1.1.m1.1.36.2.2.4.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.34\" xref=\"p1.1.m1.1.34.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.35\" xref=\"p1.1.m1.1.35.cmml\">y<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.36.cmml\" xref=\"p1.1.m1.1.36\">\n <eq id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\"\/>\n <apply id=\"p1.1.m1.1.36.1.cmml\" xref=\"p1.1.m1.1.36.1\">\n <apply id=\"p1.1.m1.1.36.1.1.cmml\" xref=\"p1.1.m1.1.36.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.36.1.1.1.cmml\" xref=\"p1.1.m1.1.36.1.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.36.1.1.2.cmml\" xref=\"p1.1.m1.1.36.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.36.1.1.2.1.cmml\" xref=\"p1.1.m1.1.36.1.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc4e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.36.1.2.cmml\" xref=\"p1.1.m1.1.36.1.2\">\n <apply id=\"p1.1.m1.1.36.1.2.1.cmml\" xref=\"p1.1.m1.1.36.1.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.36.1.2.1.1.cmml\" xref=\"p1.1.m1.1.36.1.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.36.1.2.1.2.cmml\" xref=\"p1.1.m1.1.36.1.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.36.1.2.1.2.1.cmml\" xref=\"p1.1.m1.1.36.1.2.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <ci id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\ud835\udc4e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\ud835\udc60<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.36.1.2.2.cmml\" xref=\"p1.1.m1.1.36.1.2.2\">\n <times id=\"p1.1.m1.1.36.1.2.2.1.cmml\" xref=\"p1.1.m1.1.36.1.2.2.1\"\/>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc66<\/ci>\n <apply id=\"p1.1.m1.1.36.1.2.2.3.cmml\" xref=\"p1.1.m1.1.36.1.2.2.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">\ud835\udc66<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.36.1.2.2.4.cmml\" xref=\"p1.1.m1.1.36.1.2.2.4\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">\ud835\udc60<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.36.2.cmml\" xref=\"p1.1.m1.1.36.2\">\n <apply id=\"p1.1.m1.1.36.2.1.cmml\" xref=\"p1.1.m1.1.36.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.36.2.1.1.cmml\" xref=\"p1.1.m1.1.36.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.36.2.1.2.cmml\" xref=\"p1.1.m1.1.36.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.36.2.1.2.1.cmml\" xref=\"p1.1.m1.1.36.2.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\"\/>\n <ci id=\"p1.1.m1.1.22.1.cmml\" xref=\"p1.1.m1.1.22.1\">\ud835\udc4e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.23.1.cmml\" xref=\"p1.1.m1.1.23.1\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.36.2.2.cmml\" xref=\"p1.1.m1.1.36.2.2\">\n <times id=\"p1.1.m1.1.36.2.2.1.cmml\" xref=\"p1.1.m1.1.36.2.2.1\"\/>\n <ci id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.26.cmml\" xref=\"p1.1.m1.1.26\">\ud835\udc66<\/ci>\n <apply id=\"p1.1.m1.1.36.2.2.3.2.cmml\" xref=\"p1.1.m1.1.36.2.2.3\">\n <minus id=\"p1.1.m1.1.30.cmml\" xref=\"p1.1.m1.1.30\"\/>\n <ci id=\"p1.1.m1.1.29.cmml\" xref=\"p1.1.m1.1.29\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.31.cmml\" xref=\"p1.1.m1.1.31\">\ud835\udc66<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.36.2.2.4.cmml\" xref=\"p1.1.m1.1.36.2.2.4\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.34.cmml\" xref=\"p1.1.m1.1.34\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.35.cmml\" xref=\"p1.1.m1.1.35\">\ud835\udc66<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\int_{a}^{x}\\!\\!\\!\\int_{a}^{s}f(y)\\,dy\\,ds=\\int_{a%\n}^{x}f(y)(x-y)\\,dy}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\det(\\mathsf{A}-\\lambda\\mathsf{I}) = 0",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\det({\\mathsf {A}}-\\lambda {\\mathsf {I}})=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">det<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">A<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>λ<!-- \u03bb --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">I<\/mi>\n <\/mrow>\n <\/mrow>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\det({\\mathsf {A}}-\\lambda {\\mathsf {I}})=0}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\det(\\mathsf{A}-\\lambda\\mathsf{I})=0}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mrow id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">det<\/mo>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.10.1.1\" xref=\"p1.1.m1.1.10.1.1.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.10.1.1.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.10.1.1.2\" xref=\"p1.1.m1.1.10.1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udda0<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">-<\/mo>\n <mrow id=\"p1.1.m1.1.10.1.1.2.1\" xref=\"p1.1.m1.1.10.1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u03bb<\/mi>\n <mo id=\"p1.1.m1.1.10.1.1.2.1.1\" xref=\"p1.1.m1.1.10.1.1.2.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udda8<\/mi>\n <\/mrow>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.10.1.1.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <eq id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <apply id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">\n <determinant id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.10.1.1.2.cmml\" xref=\"p1.1.m1.1.10.1.1\">\n <minus id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udda0<\/ci>\n <apply id=\"p1.1.m1.1.10.1.1.2.1.cmml\" xref=\"p1.1.m1.1.10.1.1.2.1\">\n <times id=\"p1.1.m1.1.10.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.10.1.1.2.1.1\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udf06<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udda8<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\det(\\mathsf{A}-\\lambda\\mathsf{I})=0}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\det(\\mathsf{A}-\\lambda\\mathsf{I}) = 0",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\det({\\mathsf {A}}-\\lambda {\\mathsf {I}})=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">det<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">A<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>λ<!-- \u03bb --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">I<\/mi>\n <\/mrow>\n <\/mrow>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\det({\\mathsf {A}}-\\lambda {\\mathsf {I}})=0}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\det(\\mathsf{A}-\\lambda\\mathsf{I})=0}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">\n <mrow id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">det<\/mo>\n <mo id=\"p1.1.m1.1.10.1a\" xref=\"p1.1.m1.1.10.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.10.1.1\" xref=\"p1.1.m1.1.10.1.1.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.10.1.1.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.10.1.1.2\" xref=\"p1.1.m1.1.10.1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\ud835\udda0<\/mi>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">-<\/mo>\n <mrow id=\"p1.1.m1.1.10.1.1.2.1\" xref=\"p1.1.m1.1.10.1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\u03bb<\/mi>\n <mo id=\"p1.1.m1.1.10.1.1.2.1.1\" xref=\"p1.1.m1.1.10.1.1.2.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\ud835\udda8<\/mi>\n <\/mrow>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.10.1.1.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">0<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\n <eq id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <apply id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">\n <determinant id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.10.1.1.2.cmml\" xref=\"p1.1.m1.1.10.1.1\">\n <minus id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udda0<\/ci>\n <apply id=\"p1.1.m1.1.10.1.1.2.1.cmml\" xref=\"p1.1.m1.1.10.1.1.2.1\">\n <times id=\"p1.1.m1.1.10.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.10.1.1.2.1.1\"\/>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udf06<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udda8<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">0<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\det(\\mathsf{A}-\\lambda\\mathsf{I})=0}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sum_{i=0}^{n-1} i",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sum _{i=0}^{n-1}i}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <\/munderover>\n <mi>i<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sum _{i=0}^{n-1}i}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sum_{i=0}^{n-1}i}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <munderover id=\"p1.1.m1.1.5.1a\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">0<\/mn>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mi id=\"p1.1.m1.1.3.1.1\" xref=\"p1.1.m1.1.3.1.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.3.1.2\" xref=\"p1.1.m1.1.3.1.2.cmml\">-<\/mo>\n <mn id=\"p1.1.m1.1.3.1.3\" xref=\"p1.1.m1.1.3.1.3.cmml\">1<\/mn>\n <\/mrow>\n <\/munderover>\n <\/mstyle>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">i<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.5.1.2.cmml\" xref=\"p1.1.m1.1.5.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.1.2.1.cmml\" xref=\"p1.1.m1.1.5.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">0<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\n <minus id=\"p1.1.m1.1.3.1.2.cmml\" xref=\"p1.1.m1.1.3.1.2\"\/>\n <ci id=\"p1.1.m1.1.3.1.1.cmml\" xref=\"p1.1.m1.1.3.1.1\">\ud835\udc5b<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.3.cmml\" xref=\"p1.1.m1.1.3.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc56<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sum_{i=0}^{n-1}i}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sum_{i=0}^{n-1} i",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sum _{i=0}^{n-1}i}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <\/munderover>\n <mi>i<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sum _{i=0}^{n-1}i}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sum_{i=0}^{n-1}i}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <munderover id=\"p1.1.m1.1.5.1a\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">i<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">0<\/mn>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\n <mi id=\"p1.1.m1.1.3.1.1\" xref=\"p1.1.m1.1.3.1.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.3.1.2\" xref=\"p1.1.m1.1.3.1.2.cmml\">-<\/mo>\n <mn id=\"p1.1.m1.1.3.1.3\" xref=\"p1.1.m1.1.3.1.3.cmml\">1<\/mn>\n <\/mrow>\n <\/munderover>\n <\/mstyle>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">i<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.5.1.2.cmml\" xref=\"p1.1.m1.1.5.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.5.1.2.1.cmml\" xref=\"p1.1.m1.1.5.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc56<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">0<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\n <minus id=\"p1.1.m1.1.3.1.2.cmml\" xref=\"p1.1.m1.1.3.1.2\"\/>\n <ci id=\"p1.1.m1.1.3.1.1.cmml\" xref=\"p1.1.m1.1.3.1.1\">\ud835\udc5b<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.1.3.cmml\" xref=\"p1.1.m1.1.3.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc56<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sum_{i=0}^{n-1}i}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sum_{m=1}^\\infty\\sum_{n=1}^\\infty\\frac{m^2\\,n}{3^m\\left(m\\,3^n+n\\,3^m\\right)}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sum _{m=1}^{\\infty }\\sum _{n=1}^{\\infty }{\\frac {m^{2}\\,n}{3^{m}\\left(m\\,3^{n}+n\\,3^{m}\\right)}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>m<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <msup>\n <mi>m<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>n<\/mi>\n <\/mrow>\n <mrow>\n <msup>\n <mn>3<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>m<\/mi>\n <\/mrow>\n <\/msup>\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mi>m<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <msup>\n <mn>3<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mi>n<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <msup>\n <mn>3<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>m<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sum _{m=1}^{\\infty }\\sum _{n=1}^{\\infty }{\\frac {m^{2}\\,n}{3^{m}\\left(m\\,3^{n}+n\\,3^{m}\\right)}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sum_{m=1}^{\\infty}\\sum_{n=1}^{\\infty}\\frac{m^{2}% \\,n}{3^{m}\\left(m\\,3^{n}+n\\,3^{m}\\right)}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\n <munderover id=\"p1.1.m1.1.8.1a\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">m<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">1<\/mn>\n <\/mrow>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u221e<\/mi>\n <\/munderover>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.8.2.1\" xref=\"p1.1.m1.1.8.2.1.cmml\">\n <munderover id=\"p1.1.m1.1.8.2.1a\" xref=\"p1.1.m1.1.8.2.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mi id=\"p1.1.m1.1.5.1.1\" xref=\"p1.1.m1.1.5.1.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.5.1.2\" xref=\"p1.1.m1.1.5.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.5.1.3\" xref=\"p1.1.m1.1.5.1.3.cmml\">1<\/mn>\n <\/mrow>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u221e<\/mi>\n <\/munderover>\n <\/mstyle>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mfrac id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <mrow id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.2.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.7.2.6\" xref=\"p1.1.m1.1.7.2.6.cmml\">\n <msup id=\"p1.1.m1.1.7.2.6a\" xref=\"p1.1.m1.1.7.2.6.cmml\">\n <mi id=\"p1.1.m1.1.7.2.1\" xref=\"p1.1.m1.1.7.2.1.cmml\">m<\/mi>\n <mn id=\"p1.1.m1.1.7.2.2.1\" xref=\"p1.1.m1.1.7.2.2.1.cmml\">2<\/mn>\n <\/msup>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.7.2.5\" xref=\"p1.1.m1.1.7.2.5.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7.2.4\" xref=\"p1.1.m1.1.7.2.4.cmml\">n<\/mi>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.7.3\" xref=\"p1.1.m1.1.7.3.cmml\">\n <msup id=\"p1.1.m1.1.7.3.15\" xref=\"p1.1.m1.1.7.3.15.cmml\">\n <mn id=\"p1.1.m1.1.7.3.1\" xref=\"p1.1.m1.1.7.3.1.cmml\">3<\/mn>\n <mi id=\"p1.1.m1.1.7.3.2.1\" xref=\"p1.1.m1.1.7.3.2.1.cmml\">m<\/mi>\n <\/msup>\n <mo id=\"p1.1.m1.1.7.3.14\" xref=\"p1.1.m1.1.7.3.14.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.7.3.16\" xref=\"p1.1.m1.1.7.3.16.2.cmml\">\n <mo id=\"p1.1.m1.1.7.3.3\" xref=\"p1.1.m1.1.7.3.16.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.7.3.16.2\" xref=\"p1.1.m1.1.7.3.16.2.cmml\">\n <mrow id=\"p1.1.m1.1.7.3.16.2.1\" xref=\"p1.1.m1.1.7.3.16.2.1.cmml\">\n <mi id=\"p1.1.m1.1.7.3.4\" xref=\"p1.1.m1.1.7.3.4.cmml\">m<\/mi>\n <mo id=\"p1.1.m1.1.7.3.16.2.1.1\" xref=\"p1.1.m1.1.7.3.16.2.1.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.7.3.16.2.1.2\" xref=\"p1.1.m1.1.7.3.16.2.1.2.cmml\">\n <mn id=\"p1.1.m1.1.7.3.6\" xref=\"p1.1.m1.1.7.3.6.cmml\">\u20093<\/mn>\n <mi id=\"p1.1.m1.1.7.3.7.1\" xref=\"p1.1.m1.1.7.3.7.1.cmml\">n<\/mi>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7.3.8\" xref=\"p1.1.m1.1.7.3.8.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.7.3.16.2.2\" xref=\"p1.1.m1.1.7.3.16.2.2.cmml\">\n <mi id=\"p1.1.m1.1.7.3.9\" xref=\"p1.1.m1.1.7.3.9.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.7.3.16.2.2.1\" xref=\"p1.1.m1.1.7.3.16.2.2.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.7.3.16.2.2.2\" xref=\"p1.1.m1.1.7.3.16.2.2.2.cmml\">\n <mn id=\"p1.1.m1.1.7.3.11\" xref=\"p1.1.m1.1.7.3.11.cmml\">\u20093<\/mn>\n <mi id=\"p1.1.m1.1.7.3.12.1\" xref=\"p1.1.m1.1.7.3.12.1.cmml\">m<\/mi>\n <\/msup>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7.3.13\" xref=\"p1.1.m1.1.7.3.16.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.8.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.8.1.2.cmml\" xref=\"p1.1.m1.1.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.2.1.cmml\" xref=\"p1.1.m1.1.8.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc5a<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <infinity id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.8.2.cmml\" xref=\"p1.1.m1.1.8.2\">\n <apply id=\"p1.1.m1.1.8.2.1.cmml\" xref=\"p1.1.m1.1.8.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.2.1.1.cmml\" xref=\"p1.1.m1.1.8.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.8.2.1.2.cmml\" xref=\"p1.1.m1.1.8.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.2.1.2.1.cmml\" xref=\"p1.1.m1.1.8.2.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n <eq id=\"p1.1.m1.1.5.1.2.cmml\" xref=\"p1.1.m1.1.5.1.2\"\/>\n <ci id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.1.1\">\ud835\udc5b<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.1.3.cmml\" xref=\"p1.1.m1.1.5.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <infinity id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <divide id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <apply id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7.2\">\n <times id=\"p1.1.m1.1.7.2.5.cmml\" xref=\"p1.1.m1.1.7.2.5\"\/>\n <apply id=\"p1.1.m1.1.7.2.6.cmml\" xref=\"p1.1.m1.1.7.2.6\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.2.6.1.cmml\" xref=\"p1.1.m1.1.7.2.6\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.2.1.cmml\" xref=\"p1.1.m1.1.7.2.1\">\ud835\udc5a<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.2.1.cmml\" xref=\"p1.1.m1.1.7.2.2.1\">2<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.2.4.cmml\" xref=\"p1.1.m1.1.7.2.4\">\ud835\udc5b<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.3.cmml\" xref=\"p1.1.m1.1.7.3\">\n <times id=\"p1.1.m1.1.7.3.14.cmml\" xref=\"p1.1.m1.1.7.3.14\"\/>\n <apply id=\"p1.1.m1.1.7.3.15.cmml\" xref=\"p1.1.m1.1.7.3.15\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.15.1.cmml\" xref=\"p1.1.m1.1.7.3.15\">superscript<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.1.cmml\" xref=\"p1.1.m1.1.7.3.1\">3<\/cn>\n <ci id=\"p1.1.m1.1.7.3.2.1.cmml\" xref=\"p1.1.m1.1.7.3.2.1\">\ud835\udc5a<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.3.16.2.cmml\" xref=\"p1.1.m1.1.7.3.16\">\n <plus id=\"p1.1.m1.1.7.3.8.cmml\" xref=\"p1.1.m1.1.7.3.8\"\/>\n <apply id=\"p1.1.m1.1.7.3.16.2.1.cmml\" xref=\"p1.1.m1.1.7.3.16.2.1\">\n <times id=\"p1.1.m1.1.7.3.16.2.1.1.cmml\" xref=\"p1.1.m1.1.7.3.16.2.1.1\"\/>\n <ci id=\"p1.1.m1.1.7.3.4.cmml\" xref=\"p1.1.m1.1.7.3.4\">\ud835\udc5a<\/ci>\n <apply id=\"p1.1.m1.1.7.3.16.2.1.2.cmml\" xref=\"p1.1.m1.1.7.3.16.2.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.16.2.1.2.1.cmml\" xref=\"p1.1.m1.1.7.3.16.2.1.2\">superscript<\/csymbol>\n <cn type=\"float\" id=\"p1.1.m1.1.7.3.6.cmml\" xref=\"p1.1.m1.1.7.3.6\">\u20093<\/cn>\n <ci id=\"p1.1.m1.1.7.3.7.1.cmml\" xref=\"p1.1.m1.1.7.3.7.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.3.16.2.2.cmml\" xref=\"p1.1.m1.1.7.3.16.2.2\">\n <times id=\"p1.1.m1.1.7.3.16.2.2.1.cmml\" xref=\"p1.1.m1.1.7.3.16.2.2.1\"\/>\n <ci id=\"p1.1.m1.1.7.3.9.cmml\" xref=\"p1.1.m1.1.7.3.9\">\ud835\udc5b<\/ci>\n <apply id=\"p1.1.m1.1.7.3.16.2.2.2.cmml\" xref=\"p1.1.m1.1.7.3.16.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.16.2.2.2.1.cmml\" xref=\"p1.1.m1.1.7.3.16.2.2.2\">superscript<\/csymbol>\n <cn type=\"float\" id=\"p1.1.m1.1.7.3.11.cmml\" xref=\"p1.1.m1.1.7.3.11\">\u20093<\/cn>\n <ci id=\"p1.1.m1.1.7.3.12.1.cmml\" xref=\"p1.1.m1.1.7.3.12.1\">\ud835\udc5a<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sum_{m=1}^{\\infty}\\sum_{n=1}^{\\infty}\\frac{m^{2}%\n\\,n}{3^{m}\\left(m\\,3^{n}+n\\,3^{m}\\right)}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sum_{m=1}^\\infty\\sum_{n=1}^\\infty\\frac{m^2\\,n}\n{3^m\\left(m\\,3^n+n\\,3^m\\right)}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sum _{m=1}^{\\infty }\\sum _{n=1}^{\\infty }{\\frac {m^{2}\\,n}{3^{m}\\left(m\\,3^{n}+n\\,3^{m}\\right)}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>m<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <msup>\n <mi>m<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>n<\/mi>\n <\/mrow>\n <mrow>\n <msup>\n <mn>3<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>m<\/mi>\n <\/mrow>\n <\/msup>\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mi>m<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <msup>\n <mn>3<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mi>n<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <msup>\n <mn>3<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>m<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sum _{m=1}^{\\infty }\\sum _{n=1}^{\\infty }{\\frac {m^{2}\\,n}{3^{m}\\left(m\\,3^{n}+n\\,3^{m}\\right)}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sum_{m=1}^{\\infty}\\sum_{n=1}^{\\infty}\\frac{m^{2}% \\,n}{3^{m}\\left(m\\,3^{n}+n\\,3^{m}\\right)}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.8.1\" xref=\"p1.1.m1.1.8.1.cmml\">\n <munderover id=\"p1.1.m1.1.8.1a\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">m<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">1<\/mn>\n <\/mrow>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u221e<\/mi>\n <\/munderover>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.8.2\" xref=\"p1.1.m1.1.8.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.8.2.1\" xref=\"p1.1.m1.1.8.2.1.cmml\">\n <munderover id=\"p1.1.m1.1.8.2.1a\" xref=\"p1.1.m1.1.8.2.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mi id=\"p1.1.m1.1.5.1.1\" xref=\"p1.1.m1.1.5.1.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.5.1.2\" xref=\"p1.1.m1.1.5.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.5.1.3\" xref=\"p1.1.m1.1.5.1.3.cmml\">1<\/mn>\n <\/mrow>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u221e<\/mi>\n <\/munderover>\n <\/mstyle>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mfrac id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <mrow id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.2.cmml\">\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.7.2.6\" xref=\"p1.1.m1.1.7.2.6.cmml\">\n <msup id=\"p1.1.m1.1.7.2.6a\" xref=\"p1.1.m1.1.7.2.6.cmml\">\n <mi id=\"p1.1.m1.1.7.2.1\" xref=\"p1.1.m1.1.7.2.1.cmml\">m<\/mi>\n <mn id=\"p1.1.m1.1.7.2.2.1\" xref=\"p1.1.m1.1.7.2.2.1.cmml\">2<\/mn>\n <\/msup>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.7.2.5\" xref=\"p1.1.m1.1.7.2.5.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.7.2.4\" xref=\"p1.1.m1.1.7.2.4.cmml\">n<\/mi>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.7.3\" xref=\"p1.1.m1.1.7.3.cmml\">\n <msup id=\"p1.1.m1.1.7.3.15\" xref=\"p1.1.m1.1.7.3.15.cmml\">\n <mn id=\"p1.1.m1.1.7.3.1\" xref=\"p1.1.m1.1.7.3.1.cmml\">3<\/mn>\n <mi id=\"p1.1.m1.1.7.3.2.1\" xref=\"p1.1.m1.1.7.3.2.1.cmml\">m<\/mi>\n <\/msup>\n <mo id=\"p1.1.m1.1.7.3.14\" xref=\"p1.1.m1.1.7.3.14.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.7.3.16\" xref=\"p1.1.m1.1.7.3.16.2.cmml\">\n <mo id=\"p1.1.m1.1.7.3.3\" xref=\"p1.1.m1.1.7.3.16.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.7.3.16.2\" xref=\"p1.1.m1.1.7.3.16.2.cmml\">\n <mrow id=\"p1.1.m1.1.7.3.16.2.1\" xref=\"p1.1.m1.1.7.3.16.2.1.cmml\">\n <mi id=\"p1.1.m1.1.7.3.4\" xref=\"p1.1.m1.1.7.3.4.cmml\">m<\/mi>\n <mo id=\"p1.1.m1.1.7.3.16.2.1.1\" xref=\"p1.1.m1.1.7.3.16.2.1.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.7.3.16.2.1.2\" xref=\"p1.1.m1.1.7.3.16.2.1.2.cmml\">\n <mn id=\"p1.1.m1.1.7.3.6\" xref=\"p1.1.m1.1.7.3.6.cmml\">\u20093<\/mn>\n <mi id=\"p1.1.m1.1.7.3.7.1\" xref=\"p1.1.m1.1.7.3.7.1.cmml\">n<\/mi>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7.3.8\" xref=\"p1.1.m1.1.7.3.8.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.7.3.16.2.2\" xref=\"p1.1.m1.1.7.3.16.2.2.cmml\">\n <mi id=\"p1.1.m1.1.7.3.9\" xref=\"p1.1.m1.1.7.3.9.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.7.3.16.2.2.1\" xref=\"p1.1.m1.1.7.3.16.2.2.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.7.3.16.2.2.2\" xref=\"p1.1.m1.1.7.3.16.2.2.2.cmml\">\n <mn id=\"p1.1.m1.1.7.3.11\" xref=\"p1.1.m1.1.7.3.11.cmml\">\u20093<\/mn>\n <mi id=\"p1.1.m1.1.7.3.12.1\" xref=\"p1.1.m1.1.7.3.12.1.cmml\">m<\/mi>\n <\/msup>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7.3.13\" xref=\"p1.1.m1.1.7.3.16.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\n <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.8.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.8.1.2.cmml\" xref=\"p1.1.m1.1.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.1.2.1.cmml\" xref=\"p1.1.m1.1.8.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <eq id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc5a<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <infinity id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.8.2.cmml\" xref=\"p1.1.m1.1.8.2\">\n <apply id=\"p1.1.m1.1.8.2.1.cmml\" xref=\"p1.1.m1.1.8.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.2.1.1.cmml\" xref=\"p1.1.m1.1.8.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.8.2.1.2.cmml\" xref=\"p1.1.m1.1.8.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.8.2.1.2.1.cmml\" xref=\"p1.1.m1.1.8.2.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\">\n <eq id=\"p1.1.m1.1.5.1.2.cmml\" xref=\"p1.1.m1.1.5.1.2\"\/>\n <ci id=\"p1.1.m1.1.5.1.1.cmml\" xref=\"p1.1.m1.1.5.1.1\">\ud835\udc5b<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.5.1.3.cmml\" xref=\"p1.1.m1.1.5.1.3\">1<\/cn>\n <\/apply>\n <\/apply>\n <infinity id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <divide id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <apply id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7.2\">\n <times id=\"p1.1.m1.1.7.2.5.cmml\" xref=\"p1.1.m1.1.7.2.5\"\/>\n <apply id=\"p1.1.m1.1.7.2.6.cmml\" xref=\"p1.1.m1.1.7.2.6\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.2.6.1.cmml\" xref=\"p1.1.m1.1.7.2.6\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.2.1.cmml\" xref=\"p1.1.m1.1.7.2.1\">\ud835\udc5a<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.2.1.cmml\" xref=\"p1.1.m1.1.7.2.2.1\">2<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.2.4.cmml\" xref=\"p1.1.m1.1.7.2.4\">\ud835\udc5b<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.3.cmml\" xref=\"p1.1.m1.1.7.3\">\n <times id=\"p1.1.m1.1.7.3.14.cmml\" xref=\"p1.1.m1.1.7.3.14\"\/>\n <apply id=\"p1.1.m1.1.7.3.15.cmml\" xref=\"p1.1.m1.1.7.3.15\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.15.1.cmml\" xref=\"p1.1.m1.1.7.3.15\">superscript<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.1.cmml\" xref=\"p1.1.m1.1.7.3.1\">3<\/cn>\n <ci id=\"p1.1.m1.1.7.3.2.1.cmml\" xref=\"p1.1.m1.1.7.3.2.1\">\ud835\udc5a<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.3.16.2.cmml\" xref=\"p1.1.m1.1.7.3.16\">\n <plus id=\"p1.1.m1.1.7.3.8.cmml\" xref=\"p1.1.m1.1.7.3.8\"\/>\n <apply id=\"p1.1.m1.1.7.3.16.2.1.cmml\" xref=\"p1.1.m1.1.7.3.16.2.1\">\n <times id=\"p1.1.m1.1.7.3.16.2.1.1.cmml\" xref=\"p1.1.m1.1.7.3.16.2.1.1\"\/>\n <ci id=\"p1.1.m1.1.7.3.4.cmml\" xref=\"p1.1.m1.1.7.3.4\">\ud835\udc5a<\/ci>\n <apply id=\"p1.1.m1.1.7.3.16.2.1.2.cmml\" xref=\"p1.1.m1.1.7.3.16.2.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.16.2.1.2.1.cmml\" xref=\"p1.1.m1.1.7.3.16.2.1.2\">superscript<\/csymbol>\n <cn type=\"float\" id=\"p1.1.m1.1.7.3.6.cmml\" xref=\"p1.1.m1.1.7.3.6\">\u20093<\/cn>\n <ci id=\"p1.1.m1.1.7.3.7.1.cmml\" xref=\"p1.1.m1.1.7.3.7.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.3.16.2.2.cmml\" xref=\"p1.1.m1.1.7.3.16.2.2\">\n <times id=\"p1.1.m1.1.7.3.16.2.2.1.cmml\" xref=\"p1.1.m1.1.7.3.16.2.2.1\"\/>\n <ci id=\"p1.1.m1.1.7.3.9.cmml\" xref=\"p1.1.m1.1.7.3.9\">\ud835\udc5b<\/ci>\n <apply id=\"p1.1.m1.1.7.3.16.2.2.2.cmml\" xref=\"p1.1.m1.1.7.3.16.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.16.2.2.2.1.cmml\" xref=\"p1.1.m1.1.7.3.16.2.2.2\">superscript<\/csymbol>\n <cn type=\"float\" id=\"p1.1.m1.1.7.3.11.cmml\" xref=\"p1.1.m1.1.7.3.11\">\u20093<\/cn>\n <ci id=\"p1.1.m1.1.7.3.12.1.cmml\" xref=\"p1.1.m1.1.7.3.12.1\">\ud835\udc5a<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sum_{m=1}^{\\infty}\\sum_{n=1}^{\\infty}\\frac{m^{2}%\n\\,n}{3^{m}\\left(m\\,3^{n}+n\\,3^{m}\\right)}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "u'' + p(x)u' + q(x)u=f(x),\\quad x>a",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle u''+p(x)u'+q(x)u=f(x),\\quad x>a}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>u<\/mi>\n <mo>″<\/mo>\n <\/msup>\n <mo>+<\/mo>\n <mi>p<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <msup>\n <mi>u<\/mi>\n <mo>′<\/mo>\n <\/msup>\n <mo>+<\/mo>\n <mi>q<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mi>u<\/mi>\n <mo>=<\/mo>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>,<\/mo>\n <mspace width=\"1em\" \/>\n <mi>x<\/mi>\n <mo>><\/mo>\n <mi>a<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle u''+p(x)u'+q(x)u=f(x),\\quad x>a}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle u^{\\prime\\prime}+p(x)u^{\\prime}+q(x)u=f(x),\\quad x% >a}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.1.cmml\">\n <mrow id=\"p1.1.m1.1.26.2\" xref=\"p1.1.m1.1.26.2.cmml\">\n <mrow id=\"p1.1.m1.1.26.2.1\" xref=\"p1.1.m1.1.26.2.1.cmml\">\n <msup id=\"p1.1.m1.1.26.2.1.1\" xref=\"p1.1.m1.1.26.2.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\u2032\u2032<\/mo>\n <\/msup>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.26.2.1.2\" xref=\"p1.1.m1.1.26.2.1.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">p<\/mi>\n <mo id=\"p1.1.m1.1.26.2.1.2.1\" xref=\"p1.1.m1.1.26.2.1.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.26.2.1.2.2\" xref=\"p1.1.m1.1.26.2.1.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.26.2.1.2.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.26.2.1.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.26.2.1.2.1a\" xref=\"p1.1.m1.1.26.2.1.2.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.26.2.1.2.3\" xref=\"p1.1.m1.1.26.2.1.2.3.cmml\">\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2032<\/mo>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.26.2.1.3\" xref=\"p1.1.m1.1.26.2.1.3.cmml\">\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">q<\/mi>\n <mo id=\"p1.1.m1.1.26.2.1.3.1\" xref=\"p1.1.m1.1.26.2.1.3.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.26.2.1.3.2\" xref=\"p1.1.m1.1.26.2.1.3.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.26.2.1.3.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.26.2.1.3.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.26.2.1.3.1a\" xref=\"p1.1.m1.1.26.2.1.3.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">u<\/mi>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.26.2.2\" xref=\"p1.1.m1.1.26.2.2.cmml\">\n <mi id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.26.2.2.1\" xref=\"p1.1.m1.1.26.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.26.2.2.2\" xref=\"p1.1.m1.1.26.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.26.2.2.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.26.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mo rspace=\"12.5pt\" id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.26.1a.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.26.3\" xref=\"p1.1.m1.1.26.3.cmml\">\n <mi id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">><\/mo>\n <mi id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.25.cmml\">a<\/mi>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.26.1.cmml\" xref=\"p1.1.m1.1.26\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.26.1a.cmml\" xref=\"p1.1.m1.1.21\">formulae-sequence<\/csymbol>\n <apply id=\"p1.1.m1.1.26.2.cmml\" xref=\"p1.1.m1.1.26.2\">\n <eq id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\"\/>\n <apply id=\"p1.1.m1.1.26.2.1.cmml\" xref=\"p1.1.m1.1.26.2.1\">\n <plus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.26.2.1.1.cmml\" xref=\"p1.1.m1.1.26.2.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.26.2.1.1.1.cmml\" xref=\"p1.1.m1.1.26.2.1.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\u2032\u2032<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.26.2.1.2.cmml\" xref=\"p1.1.m1.1.26.2.1.2\">\n <times id=\"p1.1.m1.1.26.2.1.2.1.cmml\" xref=\"p1.1.m1.1.26.2.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5d<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc65<\/ci>\n <apply id=\"p1.1.m1.1.26.2.1.2.3.cmml\" xref=\"p1.1.m1.1.26.2.1.2.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.26.2.1.2.3.1.cmml\" xref=\"p1.1.m1.1.26.2.1.2.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\u2032<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.26.2.1.3.cmml\" xref=\"p1.1.m1.1.26.2.1.3\">\n <times id=\"p1.1.m1.1.26.2.1.3.1.cmml\" xref=\"p1.1.m1.1.26.2.1.3.1\"\/>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc5e<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\ud835\udc62<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.26.2.2.cmml\" xref=\"p1.1.m1.1.26.2.2\">\n <times id=\"p1.1.m1.1.26.2.2.1.cmml\" xref=\"p1.1.m1.1.26.2.2.1\"\/>\n <ci id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.26.3.cmml\" xref=\"p1.1.m1.1.26.3\">\n <gt id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\"\/>\n <ci id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.25.cmml\" xref=\"p1.1.m1.1.25\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle u^{\\prime\\prime}+p(x)u^{\\prime}+q(x)u=f(x),\\quad x%\n>a}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "u'' + p(x)u' + q(x)u=f(x),\\quad x>a",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle u''+p(x)u'+q(x)u=f(x),\\quad x>a}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>u<\/mi>\n <mo>″<\/mo>\n <\/msup>\n <mo>+<\/mo>\n <mi>p<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <msup>\n <mi>u<\/mi>\n <mo>′<\/mo>\n <\/msup>\n <mo>+<\/mo>\n <mi>q<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mi>u<\/mi>\n <mo>=<\/mo>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>,<\/mo>\n <mspace width=\"1em\" \/>\n <mi>x<\/mi>\n <mo>><\/mo>\n <mi>a<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle u''+p(x)u'+q(x)u=f(x),\\quad x>a}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle u^{\\prime\\prime}+p(x)u^{\\prime}+q(x)u=f(x),\\quad x% >a}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.1.cmml\">\n <mrow id=\"p1.1.m1.1.26.2\" xref=\"p1.1.m1.1.26.2.cmml\">\n <mrow id=\"p1.1.m1.1.26.2.1\" xref=\"p1.1.m1.1.26.2.1.cmml\">\n <msup id=\"p1.1.m1.1.26.2.1.1\" xref=\"p1.1.m1.1.26.2.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\u2032\u2032<\/mo>\n <\/msup>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.26.2.1.2\" xref=\"p1.1.m1.1.26.2.1.2.cmml\">\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">p<\/mi>\n <mo id=\"p1.1.m1.1.26.2.1.2.1\" xref=\"p1.1.m1.1.26.2.1.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.26.2.1.2.2\" xref=\"p1.1.m1.1.26.2.1.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.26.2.1.2.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.26.2.1.2.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.26.2.1.2.1a\" xref=\"p1.1.m1.1.26.2.1.2.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.26.2.1.2.3\" xref=\"p1.1.m1.1.26.2.1.2.3.cmml\">\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\u2032<\/mo>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">+<\/mo>\n <mrow id=\"p1.1.m1.1.26.2.1.3\" xref=\"p1.1.m1.1.26.2.1.3.cmml\">\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">q<\/mi>\n <mo id=\"p1.1.m1.1.26.2.1.3.1\" xref=\"p1.1.m1.1.26.2.1.3.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.26.2.1.3.2\" xref=\"p1.1.m1.1.26.2.1.3.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.26.2.1.3.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.26.2.1.3.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.26.2.1.3.1a\" xref=\"p1.1.m1.1.26.2.1.3.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">u<\/mi>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.26.2.2\" xref=\"p1.1.m1.1.26.2.2.cmml\">\n <mi id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.26.2.2.1\" xref=\"p1.1.m1.1.26.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.26.2.2.2\" xref=\"p1.1.m1.1.26.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.26.2.2.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.26.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mo rspace=\"12.5pt\" id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.26.1a.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.26.3\" xref=\"p1.1.m1.1.26.3.cmml\">\n <mi id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">><\/mo>\n <mi id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.25.cmml\">a<\/mi>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.26.1.cmml\" xref=\"p1.1.m1.1.26\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.26.1a.cmml\" xref=\"p1.1.m1.1.21\">formulae-sequence<\/csymbol>\n <apply id=\"p1.1.m1.1.26.2.cmml\" xref=\"p1.1.m1.1.26.2\">\n <eq id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\"\/>\n <apply id=\"p1.1.m1.1.26.2.1.cmml\" xref=\"p1.1.m1.1.26.2.1\">\n <plus id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <apply id=\"p1.1.m1.1.26.2.1.1.cmml\" xref=\"p1.1.m1.1.26.2.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.26.2.1.1.1.cmml\" xref=\"p1.1.m1.1.26.2.1.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\u2032\u2032<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.26.2.1.2.cmml\" xref=\"p1.1.m1.1.26.2.1.2\">\n <times id=\"p1.1.m1.1.26.2.1.2.1.cmml\" xref=\"p1.1.m1.1.26.2.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc5d<\/ci>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc65<\/ci>\n <apply id=\"p1.1.m1.1.26.2.1.2.3.cmml\" xref=\"p1.1.m1.1.26.2.1.2.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.26.2.1.2.3.1.cmml\" xref=\"p1.1.m1.1.26.2.1.2.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\u2032<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.26.2.1.3.cmml\" xref=\"p1.1.m1.1.26.2.1.3\">\n <times id=\"p1.1.m1.1.26.2.1.3.1.cmml\" xref=\"p1.1.m1.1.26.2.1.3.1\"\/>\n <ci id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\ud835\udc5e<\/ci>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\ud835\udc62<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.26.2.2.cmml\" xref=\"p1.1.m1.1.26.2.2\">\n <times id=\"p1.1.m1.1.26.2.2.1.cmml\" xref=\"p1.1.m1.1.26.2.2.1\"\/>\n <ci id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">\ud835\udc65<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.26.3.cmml\" xref=\"p1.1.m1.1.26.3\">\n <gt id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\"\/>\n <ci id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.25.cmml\" xref=\"p1.1.m1.1.25\">\ud835\udc4e<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle u^{\\prime\\prime}+p(x)u^{\\prime}+q(x)u=f(x),\\quad x%\n>a}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "|\\bar{z}| = |z|, |(\\bar{z})^n| = |z|^n, \\arg(z^n) = n \\arg(z)",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle |{\\bar {z}}|=|z|,|({\\bar {z}})^{n}|=|z|^{n},\\arg(z^{n})=n\\arg(z)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>z<\/mi>\n <mo stretchy=\"false\">¯<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>z<\/mi>\n <mo stretchy=\"false\">¯<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <msup>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mi>z<\/mi>\n <msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <mi>arg<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <msup>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mi>n<\/mi>\n <mi>arg<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle |{\\bar {z}}|=|z|,|({\\bar {z}})^{n}|=|z|^{n},\\arg(z^{n})=n\\arg(z)}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle|\\bar{z}|=|z|,|(\\bar{z})^{n}|=|z|^{n},\\arg(z^{n})=% n\\arg(z)}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.32\" xref=\"p1.1.m1.1.32.1.cmml\">\n <mrow id=\"p1.1.m1.1.32.2\" xref=\"p1.1.m1.1.32.2.cmml\">\n <mrow id=\"p1.1.m1.1.32.2.1\" xref=\"p1.1.m1.1.32.2.1.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.32.2.1.1.1.cmml\">|<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\u00af<\/mo>\n <\/mover>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.32.2.1.1.1.cmml\">|<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.32.2.2\" xref=\"p1.1.m1.1.32.2.2.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.32.2.2.1.1.cmml\">|<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.32.2.2.1.1.cmml\">|<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.32.1a.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.32.3\" xref=\"p1.1.m1.1.32.3.1.cmml\">\n <mrow id=\"p1.1.m1.1.32.3.2\" xref=\"p1.1.m1.1.32.3.2.cmml\">\n <mrow id=\"p1.1.m1.1.32.3.2.1\" xref=\"p1.1.m1.1.32.3.2.1.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.32.3.2.1.1.1.cmml\">|<\/mo>\n <msup id=\"p1.1.m1.1.32.3.2.1.2\" xref=\"p1.1.m1.1.32.3.2.1.2.cmml\">\n <mrow id=\"p1.1.m1.1.32.3.2.1.2.2\" xref=\"p1.1.m1.1.11.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.11.cmml\">(<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi id=\"p1.1.m1.1.11.2\" xref=\"p1.1.m1.1.11.2.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u00af<\/mo>\n <\/mover>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.11.cmml\">)<\/mo>\n <\/mrow>\n <mi id=\"p1.1.m1.1.13.1\" xref=\"p1.1.m1.1.13.1.cmml\">n<\/mi>\n <\/msup>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.32.3.2.1.1.1.cmml\">|<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">=<\/mo>\n <msup id=\"p1.1.m1.1.32.3.2.2\" xref=\"p1.1.m1.1.32.3.2.2.cmml\">\n <mrow id=\"p1.1.m1.1.32.3.2.2.2\" xref=\"p1.1.m1.1.32.3.2.2.2.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.32.3.2.2.2.1.1.cmml\">|<\/mo>\n <mi id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.32.3.2.2.2.1.1.cmml\">|<\/mo>\n <\/mrow>\n <mi id=\"p1.1.m1.1.19.1\" xref=\"p1.1.m1.1.19.1.cmml\">n<\/mi>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.32.3.1a.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.32.3.3\" xref=\"p1.1.m1.1.32.3.3.cmml\">\n <mrow id=\"p1.1.m1.1.32.3.3.1.2\" xref=\"p1.1.m1.1.32.3.3.1.1.cmml\">\n <mi id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">arg<\/mi>\n <mo id=\"p1.1.m1.1.32.3.3.1.2a\" xref=\"p1.1.m1.1.32.3.3.1.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.32.3.3.1.2.2\" xref=\"p1.1.m1.1.32.3.3.1.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.32.3.3.1.1.cmml\">(<\/mo>\n <msup id=\"p1.1.m1.1.32.3.3.1.2.1\" xref=\"p1.1.m1.1.32.3.3.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">z<\/mi>\n <mi id=\"p1.1.m1.1.24.1\" xref=\"p1.1.m1.1.24.1.cmml\">n<\/mi>\n <\/msup>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.32.3.3.1.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.32.3.3.2\" xref=\"p1.1.m1.1.32.3.3.2.cmml\">\n <mi id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.27.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.32.3.3.2.1\" xref=\"p1.1.m1.1.32.3.3.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.32.3.3.2.2.2\" xref=\"p1.1.m1.1.32.3.3.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.28.cmml\">arg<\/mi>\n <mo id=\"p1.1.m1.1.32.3.3.2.2.2a\" xref=\"p1.1.m1.1.32.3.3.2.2.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.32.3.3.2.2.2.1\" xref=\"p1.1.m1.1.32.3.3.2.2.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.32.3.3.2.2.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.30\" xref=\"p1.1.m1.1.30.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.32.3.3.2.2.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.32.1.cmml\" xref=\"p1.1.m1.1.32\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.32.1a.cmml\" xref=\"p1.1.m1.1.8\">formulae-sequence<\/csymbol>\n <apply id=\"p1.1.m1.1.32.2.cmml\" xref=\"p1.1.m1.1.32.2\">\n <eq id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <apply id=\"p1.1.m1.1.32.2.1.1.cmml\" xref=\"p1.1.m1.1.32.2.1\">\n <abs id=\"p1.1.m1.1.32.2.1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\u00af<\/ci>\n <ci id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">\ud835\udc67<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.32.2.2.1.cmml\" xref=\"p1.1.m1.1.32.2.2\">\n <abs id=\"p1.1.m1.1.32.2.2.1.1.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc67<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.32.3.1.cmml\" xref=\"p1.1.m1.1.32.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.32.3.1a.cmml\" xref=\"p1.1.m1.1.20\">formulae-sequence<\/csymbol>\n <apply id=\"p1.1.m1.1.32.3.2.cmml\" xref=\"p1.1.m1.1.32.3.2\">\n <eq id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\"\/>\n <apply id=\"p1.1.m1.1.32.3.2.1.1.cmml\" xref=\"p1.1.m1.1.32.3.2.1\">\n <abs id=\"p1.1.m1.1.32.3.2.1.1.1.cmml\" xref=\"p1.1.m1.1.9\"\/>\n <apply id=\"p1.1.m1.1.32.3.2.1.2.cmml\" xref=\"p1.1.m1.1.32.3.2.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.32.3.2.1.2.1.cmml\" xref=\"p1.1.m1.1.32.3.2.1.2\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.32.3.2.1.2.2\">\n <ci id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">\u00af<\/ci>\n <ci id=\"p1.1.m1.1.11.2.cmml\" xref=\"p1.1.m1.1.11.2\">\ud835\udc67<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.32.3.2.2.cmml\" xref=\"p1.1.m1.1.32.3.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.32.3.2.2.1.cmml\" xref=\"p1.1.m1.1.32.3.2.2\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.32.3.2.2.2.1.cmml\" xref=\"p1.1.m1.1.32.3.2.2.2\">\n <abs id=\"p1.1.m1.1.32.3.2.2.2.1.1.cmml\" xref=\"p1.1.m1.1.16\"\/>\n <ci id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\ud835\udc67<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.19.1.cmml\" xref=\"p1.1.m1.1.19.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.32.3.3.cmml\" xref=\"p1.1.m1.1.32.3.3\">\n <eq id=\"p1.1.m1.1.26.cmml\" xref=\"p1.1.m1.1.26\"\/>\n <apply id=\"p1.1.m1.1.32.3.3.1.1.cmml\" xref=\"p1.1.m1.1.32.3.3.1.2\">\n <arg id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\"\/>\n <apply id=\"p1.1.m1.1.32.3.3.1.2.1.cmml\" xref=\"p1.1.m1.1.32.3.3.1.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.32.3.3.1.2.1.1.cmml\" xref=\"p1.1.m1.1.32.3.3.1.2.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">\ud835\udc67<\/ci>\n <ci id=\"p1.1.m1.1.24.1.cmml\" xref=\"p1.1.m1.1.24.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.32.3.3.2.cmml\" xref=\"p1.1.m1.1.32.3.3.2\">\n <times id=\"p1.1.m1.1.32.3.3.2.1.cmml\" xref=\"p1.1.m1.1.32.3.3.2.1\"\/>\n <ci id=\"p1.1.m1.1.27.cmml\" xref=\"p1.1.m1.1.27\">\ud835\udc5b<\/ci>\n <apply id=\"p1.1.m1.1.32.3.3.2.2.1.cmml\" xref=\"p1.1.m1.1.32.3.3.2.2.2\">\n <arg id=\"p1.1.m1.1.28.cmml\" xref=\"p1.1.m1.1.28\"\/>\n <ci id=\"p1.1.m1.1.30.cmml\" xref=\"p1.1.m1.1.30\">\ud835\udc67<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle|\\bar{z}|=|z|,|(\\bar{z})^{n}|=|z|^{n},\\arg(z^{n})=%\nn\\arg(z)}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "|\\bar{z}| = |z|,\n|(\\bar{z})^n| = |z|^n,\n\\arg(z^n) = n \\arg(z)",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle |{\\bar {z}}|=|z|,|({\\bar {z}})^{n}|=|z|^{n},\\arg(z^{n})=n\\arg(z)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>z<\/mi>\n <mo stretchy=\"false\">¯<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>z<\/mi>\n <mo stretchy=\"false\">¯<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <msup>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mi>z<\/mi>\n <msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <mi>arg<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <msup>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mi>n<\/mi>\n <mi>arg<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle |{\\bar {z}}|=|z|,|({\\bar {z}})^{n}|=|z|^{n},\\arg(z^{n})=n\\arg(z)}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle|\\bar{z}|=|z|,|(\\bar{z})^{n}|=|z|^{n},\\arg(z^{n})=% n\\arg(z)}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.32\" xref=\"p1.1.m1.1.32.1.cmml\">\n <mrow id=\"p1.1.m1.1.32.2\" xref=\"p1.1.m1.1.32.2.cmml\">\n <mrow id=\"p1.1.m1.1.32.2.1\" xref=\"p1.1.m1.1.32.2.1.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.32.2.1.1.1.cmml\">|<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2.2\" xref=\"p1.1.m1.1.2.2.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\u00af<\/mo>\n <\/mover>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.32.2.1.1.1.cmml\">|<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.32.2.2\" xref=\"p1.1.m1.1.32.2.2.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.32.2.2.1.1.cmml\">|<\/mo>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.32.2.2.1.1.cmml\">|<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.32.1a.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.32.3\" xref=\"p1.1.m1.1.32.3.1.cmml\">\n <mrow id=\"p1.1.m1.1.32.3.2\" xref=\"p1.1.m1.1.32.3.2.cmml\">\n <mrow id=\"p1.1.m1.1.32.3.2.1\" xref=\"p1.1.m1.1.32.3.2.1.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.32.3.2.1.1.1.cmml\">|<\/mo>\n <msup id=\"p1.1.m1.1.32.3.2.1.2\" xref=\"p1.1.m1.1.32.3.2.1.2.cmml\">\n <mrow id=\"p1.1.m1.1.32.3.2.1.2.2\" xref=\"p1.1.m1.1.11.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.11.cmml\">(<\/mo>\n <mover accent=\"true\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mi id=\"p1.1.m1.1.11.2\" xref=\"p1.1.m1.1.11.2.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">\u00af<\/mo>\n <\/mover>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.11.cmml\">)<\/mo>\n <\/mrow>\n <mi id=\"p1.1.m1.1.13.1\" xref=\"p1.1.m1.1.13.1.cmml\">n<\/mi>\n <\/msup>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.32.3.2.1.1.1.cmml\">|<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">=<\/mo>\n <msup id=\"p1.1.m1.1.32.3.2.2\" xref=\"p1.1.m1.1.32.3.2.2.cmml\">\n <mrow id=\"p1.1.m1.1.32.3.2.2.2\" xref=\"p1.1.m1.1.32.3.2.2.2.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.32.3.2.2.2.1.1.cmml\">|<\/mo>\n <mi id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.32.3.2.2.2.1.1.cmml\">|<\/mo>\n <\/mrow>\n <mi id=\"p1.1.m1.1.19.1\" xref=\"p1.1.m1.1.19.1.cmml\">n<\/mi>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.32.3.1a.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.32.3.3\" xref=\"p1.1.m1.1.32.3.3.cmml\">\n <mrow id=\"p1.1.m1.1.32.3.3.1.2\" xref=\"p1.1.m1.1.32.3.3.1.1.cmml\">\n <mi id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">arg<\/mi>\n <mo id=\"p1.1.m1.1.32.3.3.1.2a\" xref=\"p1.1.m1.1.32.3.3.1.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.32.3.3.1.2.2\" xref=\"p1.1.m1.1.32.3.3.1.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.32.3.3.1.1.cmml\">(<\/mo>\n <msup id=\"p1.1.m1.1.32.3.3.1.2.1\" xref=\"p1.1.m1.1.32.3.3.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">z<\/mi>\n <mi id=\"p1.1.m1.1.24.1\" xref=\"p1.1.m1.1.24.1.cmml\">n<\/mi>\n <\/msup>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.32.3.3.1.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.32.3.3.2\" xref=\"p1.1.m1.1.32.3.3.2.cmml\">\n <mi id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.27.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.32.3.3.2.1\" xref=\"p1.1.m1.1.32.3.3.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.32.3.3.2.2.2\" xref=\"p1.1.m1.1.32.3.3.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.28.cmml\">arg<\/mi>\n <mo id=\"p1.1.m1.1.32.3.3.2.2.2a\" xref=\"p1.1.m1.1.32.3.3.2.2.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.32.3.3.2.2.2.1\" xref=\"p1.1.m1.1.32.3.3.2.2.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.32.3.3.2.2.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.30\" xref=\"p1.1.m1.1.30.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.32.3.3.2.2.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.32.1.cmml\" xref=\"p1.1.m1.1.32\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.32.1a.cmml\" xref=\"p1.1.m1.1.8\">formulae-sequence<\/csymbol>\n <apply id=\"p1.1.m1.1.32.2.cmml\" xref=\"p1.1.m1.1.32.2\">\n <eq id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\"\/>\n <apply id=\"p1.1.m1.1.32.2.1.1.cmml\" xref=\"p1.1.m1.1.32.2.1\">\n <abs id=\"p1.1.m1.1.32.2.1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\u00af<\/ci>\n <ci id=\"p1.1.m1.1.2.2.cmml\" xref=\"p1.1.m1.1.2.2\">\ud835\udc67<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.32.2.2.1.cmml\" xref=\"p1.1.m1.1.32.2.2\">\n <abs id=\"p1.1.m1.1.32.2.2.1.1.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <ci id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\ud835\udc67<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.32.3.1.cmml\" xref=\"p1.1.m1.1.32.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.32.3.1a.cmml\" xref=\"p1.1.m1.1.20\">formulae-sequence<\/csymbol>\n <apply id=\"p1.1.m1.1.32.3.2.cmml\" xref=\"p1.1.m1.1.32.3.2\">\n <eq id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\"\/>\n <apply id=\"p1.1.m1.1.32.3.2.1.1.cmml\" xref=\"p1.1.m1.1.32.3.2.1\">\n <abs id=\"p1.1.m1.1.32.3.2.1.1.1.cmml\" xref=\"p1.1.m1.1.9\"\/>\n <apply id=\"p1.1.m1.1.32.3.2.1.2.cmml\" xref=\"p1.1.m1.1.32.3.2.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.32.3.2.1.2.1.cmml\" xref=\"p1.1.m1.1.32.3.2.1.2\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.32.3.2.1.2.2\">\n <ci id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">\u00af<\/ci>\n <ci id=\"p1.1.m1.1.11.2.cmml\" xref=\"p1.1.m1.1.11.2\">\ud835\udc67<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.32.3.2.2.cmml\" xref=\"p1.1.m1.1.32.3.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.32.3.2.2.1.cmml\" xref=\"p1.1.m1.1.32.3.2.2\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.32.3.2.2.2.1.cmml\" xref=\"p1.1.m1.1.32.3.2.2.2\">\n <abs id=\"p1.1.m1.1.32.3.2.2.2.1.1.cmml\" xref=\"p1.1.m1.1.16\"\/>\n <ci id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">\ud835\udc67<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.19.1.cmml\" xref=\"p1.1.m1.1.19.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.32.3.3.cmml\" xref=\"p1.1.m1.1.32.3.3\">\n <eq id=\"p1.1.m1.1.26.cmml\" xref=\"p1.1.m1.1.26\"\/>\n <apply id=\"p1.1.m1.1.32.3.3.1.1.cmml\" xref=\"p1.1.m1.1.32.3.3.1.2\">\n <arg id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\"\/>\n <apply id=\"p1.1.m1.1.32.3.3.1.2.1.cmml\" xref=\"p1.1.m1.1.32.3.3.1.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.32.3.3.1.2.1.1.cmml\" xref=\"p1.1.m1.1.32.3.3.1.2.1\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">\ud835\udc67<\/ci>\n <ci id=\"p1.1.m1.1.24.1.cmml\" xref=\"p1.1.m1.1.24.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.32.3.3.2.cmml\" xref=\"p1.1.m1.1.32.3.3.2\">\n <times id=\"p1.1.m1.1.32.3.3.2.1.cmml\" xref=\"p1.1.m1.1.32.3.3.2.1\"\/>\n <ci id=\"p1.1.m1.1.27.cmml\" xref=\"p1.1.m1.1.27\">\ud835\udc5b<\/ci>\n <apply id=\"p1.1.m1.1.32.3.3.2.2.1.cmml\" xref=\"p1.1.m1.1.32.3.3.2.2.2\">\n <arg id=\"p1.1.m1.1.28.cmml\" xref=\"p1.1.m1.1.28\"\/>\n <ci id=\"p1.1.m1.1.30.cmml\" xref=\"p1.1.m1.1.30\">\ud835\udc67<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle|\\bar{z}|=|z|,|(\\bar{z})^{n}|=|z|^{n},\\arg(z^{n})=%\nn\\arg(z)}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\lim_{z\\rightarrow z_0} f(z)=f(z_0)",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\lim _{z\\rightarrow z_{0}}f(z)=f(z_{0})}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo movablelimits=\"true\" form=\"prefix\">lim<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>z<\/mi>\n <mo stretchy=\"false\">→<!-- \u2192 --><\/mo>\n <msub>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <\/munder>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\lim _{z\\rightarrow z_{0}}f(z)=f(z_{0})}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\lim_{z\\rightarrow z_{0}}f(z)=f(z_{0})}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mrow id=\"p1.1.m1.1.13.1\" xref=\"p1.1.m1.1.13.1.cmml\">\n <munder id=\"p1.1.m1.1.13.1.1\" xref=\"p1.1.m1.1.13.1.1.cmml\">\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">lim<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">z<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">\u2192<\/mo>\n <msub id=\"p1.1.m1.1.2.1.5\" xref=\"p1.1.m1.1.2.1.5.cmml\">\n <mi id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">z<\/mi>\n <mn id=\"p1.1.m1.1.2.1.4.1\" xref=\"p1.1.m1.1.2.1.4.1.cmml\">0<\/mn>\n <\/msub>\n <\/mrow>\n <\/munder>\n <mo id=\"p1.1.m1.1.13.1a\" xref=\"p1.1.m1.1.13.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.13.1.2\" xref=\"p1.1.m1.1.13.1.2.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.13.1.2.1\" xref=\"p1.1.m1.1.13.1.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.13.1.2.2\" xref=\"p1.1.m1.1.13.1.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.13.1.2.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.13.1.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.13.2\" xref=\"p1.1.m1.1.13.2.cmml\">\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.13.2.1\" xref=\"p1.1.m1.1.13.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.13.2.2\" xref=\"p1.1.m1.1.13.2.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.13.2.2.2.cmml\">(<\/mo>\n <msub id=\"p1.1.m1.1.13.2.2.2\" xref=\"p1.1.m1.1.13.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">z<\/mi>\n <mn id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">0<\/mn>\n <\/msub>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.13.2.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\n <eq id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <apply id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13.1\">\n <apply id=\"p1.1.m1.1.13.1.1.cmml\" xref=\"p1.1.m1.1.13.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.13.1.1.1.cmml\" xref=\"p1.1.m1.1.13.1.1\">subscript<\/csymbol>\n <limit id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\u2192<\/ci>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc67<\/ci>\n <apply id=\"p1.1.m1.1.2.1.5.cmml\" xref=\"p1.1.m1.1.2.1.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.2.1.5.1.cmml\" xref=\"p1.1.m1.1.2.1.5\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">\ud835\udc67<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.4.1.cmml\" xref=\"p1.1.m1.1.2.1.4.1\">0<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.1.2.cmml\" xref=\"p1.1.m1.1.13.1.2\">\n <times id=\"p1.1.m1.1.13.1.2.1.cmml\" xref=\"p1.1.m1.1.13.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc67<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.2.cmml\" xref=\"p1.1.m1.1.13.2\">\n <times id=\"p1.1.m1.1.13.2.1.cmml\" xref=\"p1.1.m1.1.13.2.1\"\/>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc53<\/ci>\n <apply id=\"p1.1.m1.1.13.2.2.2.cmml\" xref=\"p1.1.m1.1.13.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.13.2.2.2.1.cmml\" xref=\"p1.1.m1.1.13.2.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc67<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">0<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\lim_{z\\rightarrow z_{0}}f(z)=f(z_{0})}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\lim_{z\\rightarrow z_0} f(z)=f(z_0)",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\lim _{z\\rightarrow z_{0}}f(z)=f(z_{0})}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo movablelimits=\"true\" form=\"prefix\">lim<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>z<\/mi>\n <mo stretchy=\"false\">→<!-- \u2192 --><\/mo>\n <msub>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <\/munder>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\lim _{z\\rightarrow z_{0}}f(z)=f(z_{0})}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\lim_{z\\rightarrow z_{0}}f(z)=f(z_{0})}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">\n <mrow id=\"p1.1.m1.1.13.1\" xref=\"p1.1.m1.1.13.1.cmml\">\n <munder id=\"p1.1.m1.1.13.1.1\" xref=\"p1.1.m1.1.13.1.1.cmml\">\n <mo movablelimits=\"false\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">lim<\/mo>\n <mrow id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.2.1.1\" xref=\"p1.1.m1.1.2.1.1.cmml\">z<\/mi>\n <mo id=\"p1.1.m1.1.2.1.2\" xref=\"p1.1.m1.1.2.1.2.cmml\">\u2192<\/mo>\n <msub id=\"p1.1.m1.1.2.1.5\" xref=\"p1.1.m1.1.2.1.5.cmml\">\n <mi id=\"p1.1.m1.1.2.1.3\" xref=\"p1.1.m1.1.2.1.3.cmml\">z<\/mi>\n <mn id=\"p1.1.m1.1.2.1.4.1\" xref=\"p1.1.m1.1.2.1.4.1.cmml\">0<\/mn>\n <\/msub>\n <\/mrow>\n <\/munder>\n <mo id=\"p1.1.m1.1.13.1a\" xref=\"p1.1.m1.1.13.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.13.1.2\" xref=\"p1.1.m1.1.13.1.2.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.13.1.2.1\" xref=\"p1.1.m1.1.13.1.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.13.1.2.2\" xref=\"p1.1.m1.1.13.1.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.13.1.2.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.13.1.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.13.2\" xref=\"p1.1.m1.1.13.2.cmml\">\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.13.2.1\" xref=\"p1.1.m1.1.13.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.13.2.2\" xref=\"p1.1.m1.1.13.2.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.13.2.2.2.cmml\">(<\/mo>\n <msub id=\"p1.1.m1.1.13.2.2.2\" xref=\"p1.1.m1.1.13.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">z<\/mi>\n <mn id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">0<\/mn>\n <\/msub>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.13.2.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\n <eq id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <apply id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13.1\">\n <apply id=\"p1.1.m1.1.13.1.1.cmml\" xref=\"p1.1.m1.1.13.1.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.13.1.1.1.cmml\" xref=\"p1.1.m1.1.13.1.1\">subscript<\/csymbol>\n <limit id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <apply id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\n <ci id=\"p1.1.m1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.2.1.2\">\u2192<\/ci>\n <ci id=\"p1.1.m1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1\">\ud835\udc67<\/ci>\n <apply id=\"p1.1.m1.1.2.1.5.cmml\" xref=\"p1.1.m1.1.2.1.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.2.1.5.1.cmml\" xref=\"p1.1.m1.1.2.1.5\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.2.1.3.cmml\" xref=\"p1.1.m1.1.2.1.3\">\ud835\udc67<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.2.1.4.1.cmml\" xref=\"p1.1.m1.1.2.1.4.1\">0<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.1.2.cmml\" xref=\"p1.1.m1.1.13.1.2\">\n <times id=\"p1.1.m1.1.13.1.2.1.cmml\" xref=\"p1.1.m1.1.13.1.2.1\"\/>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc67<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.13.2.cmml\" xref=\"p1.1.m1.1.13.2\">\n <times id=\"p1.1.m1.1.13.2.1.cmml\" xref=\"p1.1.m1.1.13.2.1\"\/>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\ud835\udc53<\/ci>\n <apply id=\"p1.1.m1.1.13.2.2.2.cmml\" xref=\"p1.1.m1.1.13.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.13.2.2.2.1.cmml\" xref=\"p1.1.m1.1.13.2.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc67<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">0<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\lim_{z\\rightarrow z_{0}}f(z)=f(z_{0})}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\phi_n(\\kappa)\n= \\frac{1}{4\\pi^2\\kappa^2} \\int_0^\\infty \\frac{\\sin(\\kappa R)}{\\kappa R} \\frac{\\partial}{\\partial R} \\left[R^2\\frac{\\partial D_n(R)}{\\partial R}\\right]\\,dR",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\phi _{n}(\\kappa )={\\frac {1}{4\\pi ^{2}\\kappa ^{2}}}\\int _{0}^{\\infty }{\\frac {\\sin(\\kappa R)}{\\kappa R}}{\\frac {\\partial }{\\partial R}}\\left[R^{2}{\\frac {\\partial D_{n}(R)}{\\partial R}}\\right]\\,dR}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>ϕ<!-- \u03d5 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">(<\/mo>\n <mi>κ<!-- \u03ba --><\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <mrow>\n <mn>4<\/mn>\n <msup>\n <mi>π<!-- \u03c0 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <msup>\n <mi>κ<!-- \u03ba --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <msubsup>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/msubsup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi>sin<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>κ<!-- \u03ba --><\/mi>\n <mi>R<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mrow>\n <mrow>\n <mi>κ<!-- \u03ba --><\/mi>\n <mi>R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mrow>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mrow>\n <mo>[<\/mo>\n <mrow>\n <msup>\n <mi>R<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <msub>\n <mi>D<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">(<\/mo>\n <mi>R<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mrow>\n <mrow>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <mo>]<\/mo>\n <\/mrow>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>R<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\phi _{n}(\\kappa )={\\frac {1}{4\\pi ^{2}\\kappa ^{2}}}\\int _{0}^{\\infty }{\\frac {\\sin(\\kappa R)}{\\kappa R}}{\\frac {\\partial }{\\partial R}}\\left[R^{2}{\\frac {\\partial D_{n}(R)}{\\partial R}}\\right]\\,dR}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\phi_{n}(\\kappa)=\\frac{1}{4\\pi^{2}\\kappa^{2}}\\int_% {0}^{\\infty}\\frac{\\sin(\\kappa R)}{\\kappa R}\\frac{\\partial}{\\partial R}\\left[R^% {2}\\frac{\\partial D_{n}(R)}{\\partial R}\\right]\\,dR}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\n <mrow id=\"p1.1.m1.1.21.1\" xref=\"p1.1.m1.1.21.1.cmml\">\n <msub id=\"p1.1.m1.1.21.1.2\" xref=\"p1.1.m1.1.21.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03d5<\/mi>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">n<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.21.1.1\" xref=\"p1.1.m1.1.21.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.21.1.3\" xref=\"p1.1.m1.1.21.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.21.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03ba<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.21.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.21.2\" xref=\"p1.1.m1.1.21.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mfrac id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <mn id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.2.cmml\">1<\/mn>\n <mrow id=\"p1.1.m1.1.7.3\" xref=\"p1.1.m1.1.7.3.cmml\">\n <mn id=\"p1.1.m1.1.7.3.1\" xref=\"p1.1.m1.1.7.3.1.cmml\">4<\/mn>\n <mo id=\"p1.1.m1.1.7.3.6\" xref=\"p1.1.m1.1.7.3.6.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.7.3.7\" xref=\"p1.1.m1.1.7.3.7.cmml\">\n <mi id=\"p1.1.m1.1.7.3.2\" xref=\"p1.1.m1.1.7.3.2.cmml\">\u03c0<\/mi>\n <mn id=\"p1.1.m1.1.7.3.3.1\" xref=\"p1.1.m1.1.7.3.3.1.cmml\">2<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.7.3.6a\" xref=\"p1.1.m1.1.7.3.6.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.7.3.8\" xref=\"p1.1.m1.1.7.3.8.cmml\">\n <mi id=\"p1.1.m1.1.7.3.4\" xref=\"p1.1.m1.1.7.3.4.cmml\">\u03ba<\/mi>\n <mn id=\"p1.1.m1.1.7.3.5.1\" xref=\"p1.1.m1.1.7.3.5.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.21.2.1\" xref=\"p1.1.m1.1.21.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.21.2.2\" xref=\"p1.1.m1.1.21.2.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.21.2.2.1\" xref=\"p1.1.m1.1.21.2.2.1.cmml\">\n <msubsup id=\"p1.1.m1.1.21.2.2.1a\" xref=\"p1.1.m1.1.21.2.2.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u222b<\/mo>\n <mn id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">0<\/mn>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u221e<\/mi>\n <\/msubsup>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.21.2.2.2\" xref=\"p1.1.m1.1.21.2.2.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mfrac id=\"p1.1.m1.1.11a\" xref=\"p1.1.m1.1.11.cmml\">\n <mrow id=\"p1.1.m1.1.11.2.7\" xref=\"p1.1.m1.1.11.2.6.cmml\">\n <mi id=\"p1.1.m1.1.11.2.1\" xref=\"p1.1.m1.1.11.2.1.cmml\">sin<\/mi>\n <mo id=\"p1.1.m1.1.11.2.7a\" xref=\"p1.1.m1.1.11.2.6.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.11.2.7.2\" xref=\"p1.1.m1.1.11.2.6.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.11.2.2\" xref=\"p1.1.m1.1.11.2.6.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.11.2.7.1\" xref=\"p1.1.m1.1.11.2.7.1.cmml\">\n <mi id=\"p1.1.m1.1.11.2.3\" xref=\"p1.1.m1.1.11.2.3.cmml\">\u03ba<\/mi>\n <mo id=\"p1.1.m1.1.11.2.7.1.1\" xref=\"p1.1.m1.1.11.2.7.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11.2.4\" xref=\"p1.1.m1.1.11.2.4.cmml\">R<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.11.2.5\" xref=\"p1.1.m1.1.11.2.6.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.11.3\" xref=\"p1.1.m1.1.11.3.cmml\">\n <mi id=\"p1.1.m1.1.11.3.1\" xref=\"p1.1.m1.1.11.3.1.cmml\">\u03ba<\/mi>\n <mo id=\"p1.1.m1.1.11.3.3\" xref=\"p1.1.m1.1.11.3.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11.3.2\" xref=\"p1.1.m1.1.11.3.2.cmml\">R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.21.2.2.2.1\" xref=\"p1.1.m1.1.21.2.2.2.1.cmml\">\u2062<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mfrac id=\"p1.1.m1.1.12a\" xref=\"p1.1.m1.1.12.cmml\">\n <mo id=\"p1.1.m1.1.12.2\" xref=\"p1.1.m1.1.12.2.cmml\">\u2202<\/mo>\n <mrow id=\"p1.1.m1.1.12.3\" xref=\"p1.1.m1.1.12.3.cmml\">\n <mo id=\"p1.1.m1.1.12.3.1\" xref=\"p1.1.m1.1.12.3.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.12.3a\" xref=\"p1.1.m1.1.12.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.12.3.2\" xref=\"p1.1.m1.1.12.3.2.cmml\">R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.21.2.2.2.1a\" xref=\"p1.1.m1.1.21.2.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.21.2.2.2.2\" xref=\"p1.1.m1.1.21.2.2.2.2.1.cmml\">\n <mo id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.21.2.2.2.2.1.1.cmml\">[<\/mo>\n <mrow id=\"p1.1.m1.1.21.2.2.2.2.2\" xref=\"p1.1.m1.1.21.2.2.2.2.2.cmml\">\n <msup id=\"p1.1.m1.1.21.2.2.2.2.2.2\" xref=\"p1.1.m1.1.21.2.2.2.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">R<\/mi>\n <mn id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">2<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.21.2.2.2.2.2.1\" xref=\"p1.1.m1.1.21.2.2.2.2.2.1.cmml\">\u2062<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">\n <mfrac id=\"p1.1.m1.1.16a\" xref=\"p1.1.m1.1.16.cmml\">\n <mrow id=\"p1.1.m1.1.16.2\" xref=\"p1.1.m1.1.16.2.cmml\">\n <mrow id=\"p1.1.m1.1.16.2.8\" xref=\"p1.1.m1.1.16.2.8.cmml\">\n <mo id=\"p1.1.m1.1.16.2.1\" xref=\"p1.1.m1.1.16.2.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.16.2.8a\" xref=\"p1.1.m1.1.16.2.8.cmml\">\u2061<\/mo>\n <msub id=\"p1.1.m1.1.16.2.8.1\" xref=\"p1.1.m1.1.16.2.8.1.cmml\">\n <mi id=\"p1.1.m1.1.16.2.2\" xref=\"p1.1.m1.1.16.2.2.cmml\">D<\/mi>\n <mi id=\"p1.1.m1.1.16.2.3.1\" xref=\"p1.1.m1.1.16.2.3.1.cmml\">n<\/mi>\n <\/msub>\n <\/mrow>\n <mo id=\"p1.1.m1.1.16.2.7\" xref=\"p1.1.m1.1.16.2.7.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.16.2.9\" xref=\"p1.1.m1.1.16.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.16.2.4\" xref=\"p1.1.m1.1.16.2.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.16.2.5\" xref=\"p1.1.m1.1.16.2.5.cmml\">R<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.16.2.6\" xref=\"p1.1.m1.1.16.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.16.3\" xref=\"p1.1.m1.1.16.3.cmml\">\n <mo id=\"p1.1.m1.1.16.3.1\" xref=\"p1.1.m1.1.16.3.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.16.3a\" xref=\"p1.1.m1.1.16.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.16.3.2\" xref=\"p1.1.m1.1.16.3.2.cmml\">R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo rspace=\"4.2pt\" id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.21.2.2.2.2.1.1.cmml\">]<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.21.2.2.2.1b\" xref=\"p1.1.m1.1.21.2.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.21.2.2.2.3\" xref=\"p1.1.m1.1.21.2.2.2.3.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">R<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\n <eq id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.21.1.cmml\" xref=\"p1.1.m1.1.21.1\">\n <times id=\"p1.1.m1.1.21.1.1.cmml\" xref=\"p1.1.m1.1.21.1.1\"\/>\n <apply id=\"p1.1.m1.1.21.1.2.cmml\" xref=\"p1.1.m1.1.21.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">italic-\u03d5<\/ci>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udf05<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.2.cmml\" xref=\"p1.1.m1.1.21.2\">\n <times id=\"p1.1.m1.1.21.2.1.cmml\" xref=\"p1.1.m1.1.21.2.1\"\/>\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <divide id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.7.3.cmml\" xref=\"p1.1.m1.1.7.3\">\n <times id=\"p1.1.m1.1.7.3.6.cmml\" xref=\"p1.1.m1.1.7.3.6\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.1.cmml\" xref=\"p1.1.m1.1.7.3.1\">4<\/cn>\n <apply id=\"p1.1.m1.1.7.3.7.cmml\" xref=\"p1.1.m1.1.7.3.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.7.1.cmml\" xref=\"p1.1.m1.1.7.3.7\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.3.2.cmml\" xref=\"p1.1.m1.1.7.3.2\">\ud835\udf0b<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.3.1.cmml\" xref=\"p1.1.m1.1.7.3.3.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.3.8.cmml\" xref=\"p1.1.m1.1.7.3.8\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.8.1.cmml\" xref=\"p1.1.m1.1.7.3.8\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.3.4.cmml\" xref=\"p1.1.m1.1.7.3.4\">\ud835\udf05<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.5.1.cmml\" xref=\"p1.1.m1.1.7.3.5.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.2.2.cmml\" xref=\"p1.1.m1.1.21.2.2\">\n <apply id=\"p1.1.m1.1.21.2.2.1.cmml\" xref=\"p1.1.m1.1.21.2.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.2.2.1.1.cmml\" xref=\"p1.1.m1.1.21.2.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.21.2.2.1.2.cmml\" xref=\"p1.1.m1.1.21.2.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.2.2.1.2.1.cmml\" xref=\"p1.1.m1.1.21.2.2.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">0<\/cn>\n <\/apply>\n <infinity id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.2.2.2.cmml\" xref=\"p1.1.m1.1.21.2.2.2\">\n <times id=\"p1.1.m1.1.21.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.2.2.2.1\"\/>\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <divide id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\"\/>\n <apply id=\"p1.1.m1.1.11.2.6.cmml\" xref=\"p1.1.m1.1.11.2.7\">\n <sin id=\"p1.1.m1.1.11.2.1.cmml\" xref=\"p1.1.m1.1.11.2.1\"\/>\n <apply id=\"p1.1.m1.1.11.2.7.1.cmml\" xref=\"p1.1.m1.1.11.2.7.1\">\n <times id=\"p1.1.m1.1.11.2.7.1.1.cmml\" xref=\"p1.1.m1.1.11.2.7.1.1\"\/>\n <ci id=\"p1.1.m1.1.11.2.3.cmml\" xref=\"p1.1.m1.1.11.2.3\">\ud835\udf05<\/ci>\n <ci id=\"p1.1.m1.1.11.2.4.cmml\" xref=\"p1.1.m1.1.11.2.4\">\ud835\udc45<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.11.3.cmml\" xref=\"p1.1.m1.1.11.3\">\n <times id=\"p1.1.m1.1.11.3.3.cmml\" xref=\"p1.1.m1.1.11.3.3\"\/>\n <ci id=\"p1.1.m1.1.11.3.1.cmml\" xref=\"p1.1.m1.1.11.3.1\">\ud835\udf05<\/ci>\n <ci id=\"p1.1.m1.1.11.3.2.cmml\" xref=\"p1.1.m1.1.11.3.2\">\ud835\udc45<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <divide id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12\"\/>\n <partialdiff id=\"p1.1.m1.1.12.2.cmml\" xref=\"p1.1.m1.1.12.2\"\/>\n <apply id=\"p1.1.m1.1.12.3.cmml\" xref=\"p1.1.m1.1.12.3\">\n <partialdiff id=\"p1.1.m1.1.12.3.1.cmml\" xref=\"p1.1.m1.1.12.3.1\"\/>\n <ci id=\"p1.1.m1.1.12.3.2.cmml\" xref=\"p1.1.m1.1.12.3.2\">\ud835\udc45<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.2.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.2.2.2.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.21.2.2.2.2.1.1.cmml\" xref=\"p1.1.m1.1.13\">delimited-[]<\/csymbol>\n <apply id=\"p1.1.m1.1.21.2.2.2.2.2.cmml\" xref=\"p1.1.m1.1.21.2.2.2.2.2\">\n <times id=\"p1.1.m1.1.21.2.2.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.2.2.2.2.2.1\"\/>\n <apply id=\"p1.1.m1.1.21.2.2.2.2.2.2.cmml\" xref=\"p1.1.m1.1.21.2.2.2.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.2.2.2.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.2.2.2.2.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc45<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">\n <divide id=\"p1.1.m1.1.16.1.cmml\" xref=\"p1.1.m1.1.16\"\/>\n <apply id=\"p1.1.m1.1.16.2.cmml\" xref=\"p1.1.m1.1.16.2\">\n <times id=\"p1.1.m1.1.16.2.7.cmml\" xref=\"p1.1.m1.1.16.2.7\"\/>\n <apply id=\"p1.1.m1.1.16.2.8.cmml\" xref=\"p1.1.m1.1.16.2.8\">\n <partialdiff id=\"p1.1.m1.1.16.2.1.cmml\" xref=\"p1.1.m1.1.16.2.1\"\/>\n <apply id=\"p1.1.m1.1.16.2.8.1.cmml\" xref=\"p1.1.m1.1.16.2.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.16.2.8.1.1.cmml\" xref=\"p1.1.m1.1.16.2.8.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.16.2.2.cmml\" xref=\"p1.1.m1.1.16.2.2\">\ud835\udc37<\/ci>\n <ci id=\"p1.1.m1.1.16.2.3.1.cmml\" xref=\"p1.1.m1.1.16.2.3.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.16.2.5.cmml\" xref=\"p1.1.m1.1.16.2.5\">\ud835\udc45<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.16.3.cmml\" xref=\"p1.1.m1.1.16.3\">\n <partialdiff id=\"p1.1.m1.1.16.3.1.cmml\" xref=\"p1.1.m1.1.16.3.1\"\/>\n <ci id=\"p1.1.m1.1.16.3.2.cmml\" xref=\"p1.1.m1.1.16.3.2\">\ud835\udc45<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.2.2.2.3.cmml\" xref=\"p1.1.m1.1.21.2.2.2.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">\ud835\udc45<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\phi_{n}(\\kappa)=\\frac{1}{4\\pi^{2}\\kappa^{2}}\\int_%\n{0}^{\\infty}\\frac{\\sin(\\kappa R)}{\\kappa R}\\frac{\\partial}{\\partial R}\\left[R^%\n{2}\\frac{\\partial D_{n}(R)}{\\partial R}\\right]\\,dR}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\phi_n(\\kappa) =\n\\frac{1}{4\\pi^2\\kappa^2} \\int_0^\\infty\n\\frac{\\sin(\\kappa R)}{\\kappa R}\n\\frac{\\partial}{\\partial R}\n\\left[R^2\\frac{\\partial D_n(R)}{\\partial R}\\right]\\,dR",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\phi _{n}(\\kappa )={\\frac {1}{4\\pi ^{2}\\kappa ^{2}}}\\int _{0}^{\\infty }{\\frac {\\sin(\\kappa R)}{\\kappa R}}{\\frac {\\partial }{\\partial R}}\\left[R^{2}{\\frac {\\partial D_{n}(R)}{\\partial R}}\\right]\\,dR}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>ϕ<!-- \u03d5 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">(<\/mo>\n <mi>κ<!-- \u03ba --><\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <mrow>\n <mn>4<\/mn>\n <msup>\n <mi>π<!-- \u03c0 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <msup>\n <mi>κ<!-- \u03ba --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <msubsup>\n <mo>∫<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/msubsup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi>sin<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>κ<!-- \u03ba --><\/mi>\n <mi>R<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mrow>\n <mrow>\n <mi>κ<!-- \u03ba --><\/mi>\n <mi>R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mrow>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mrow>\n <mo>[<\/mo>\n <mrow>\n <msup>\n <mi>R<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <msub>\n <mi>D<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">(<\/mo>\n <mi>R<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mrow>\n <mrow>\n <mi mathvariant=\"normal\">∂<!-- \u2202 --><\/mi>\n <mi>R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <mo>]<\/mo>\n <\/mrow>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>R<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\phi _{n}(\\kappa )={\\frac {1}{4\\pi ^{2}\\kappa ^{2}}}\\int _{0}^{\\infty }{\\frac {\\sin(\\kappa R)}{\\kappa R}}{\\frac {\\partial }{\\partial R}}\\left[R^{2}{\\frac {\\partial D_{n}(R)}{\\partial R}}\\right]\\,dR}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\phi_{n}(\\kappa)=\\frac{1}{4\\pi^{2}\\kappa^{2}}\\int_% {0}^{\\infty}\\frac{\\sin(\\kappa R)}{\\kappa R}\\frac{\\partial}{\\partial R}\\left[R^% {2}\\frac{\\partial D_{n}(R)}{\\partial R}\\right]\\,dR}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\n <mrow id=\"p1.1.m1.1.21.1\" xref=\"p1.1.m1.1.21.1.cmml\">\n <msub id=\"p1.1.m1.1.21.1.2\" xref=\"p1.1.m1.1.21.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03d5<\/mi>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">n<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.21.1.1\" xref=\"p1.1.m1.1.21.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.21.1.3\" xref=\"p1.1.m1.1.21.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.21.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03ba<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.21.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.21.2\" xref=\"p1.1.m1.1.21.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mfrac id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\n <mn id=\"p1.1.m1.1.7.2\" xref=\"p1.1.m1.1.7.2.cmml\">1<\/mn>\n <mrow id=\"p1.1.m1.1.7.3\" xref=\"p1.1.m1.1.7.3.cmml\">\n <mn id=\"p1.1.m1.1.7.3.1\" xref=\"p1.1.m1.1.7.3.1.cmml\">4<\/mn>\n <mo id=\"p1.1.m1.1.7.3.6\" xref=\"p1.1.m1.1.7.3.6.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.7.3.7\" xref=\"p1.1.m1.1.7.3.7.cmml\">\n <mi id=\"p1.1.m1.1.7.3.2\" xref=\"p1.1.m1.1.7.3.2.cmml\">\u03c0<\/mi>\n <mn id=\"p1.1.m1.1.7.3.3.1\" xref=\"p1.1.m1.1.7.3.3.1.cmml\">2<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.7.3.6a\" xref=\"p1.1.m1.1.7.3.6.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.7.3.8\" xref=\"p1.1.m1.1.7.3.8.cmml\">\n <mi id=\"p1.1.m1.1.7.3.4\" xref=\"p1.1.m1.1.7.3.4.cmml\">\u03ba<\/mi>\n <mn id=\"p1.1.m1.1.7.3.5.1\" xref=\"p1.1.m1.1.7.3.5.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.21.2.1\" xref=\"p1.1.m1.1.21.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.21.2.2\" xref=\"p1.1.m1.1.21.2.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.21.2.2.1\" xref=\"p1.1.m1.1.21.2.2.1.cmml\">\n <msubsup id=\"p1.1.m1.1.21.2.2.1a\" xref=\"p1.1.m1.1.21.2.2.1.cmml\">\n <mo largeop=\"true\" symmetric=\"true\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u222b<\/mo>\n <mn id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">0<\/mn>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">\u221e<\/mi>\n <\/msubsup>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.21.2.2.2\" xref=\"p1.1.m1.1.21.2.2.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">\n <mfrac id=\"p1.1.m1.1.11a\" xref=\"p1.1.m1.1.11.cmml\">\n <mrow id=\"p1.1.m1.1.11.2.7\" xref=\"p1.1.m1.1.11.2.6.cmml\">\n <mi id=\"p1.1.m1.1.11.2.1\" xref=\"p1.1.m1.1.11.2.1.cmml\">sin<\/mi>\n <mo id=\"p1.1.m1.1.11.2.7a\" xref=\"p1.1.m1.1.11.2.6.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.11.2.7.2\" xref=\"p1.1.m1.1.11.2.6.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.11.2.2\" xref=\"p1.1.m1.1.11.2.6.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.11.2.7.1\" xref=\"p1.1.m1.1.11.2.7.1.cmml\">\n <mi id=\"p1.1.m1.1.11.2.3\" xref=\"p1.1.m1.1.11.2.3.cmml\">\u03ba<\/mi>\n <mo id=\"p1.1.m1.1.11.2.7.1.1\" xref=\"p1.1.m1.1.11.2.7.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11.2.4\" xref=\"p1.1.m1.1.11.2.4.cmml\">R<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.11.2.5\" xref=\"p1.1.m1.1.11.2.6.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.11.3\" xref=\"p1.1.m1.1.11.3.cmml\">\n <mi id=\"p1.1.m1.1.11.3.1\" xref=\"p1.1.m1.1.11.3.1.cmml\">\u03ba<\/mi>\n <mo id=\"p1.1.m1.1.11.3.3\" xref=\"p1.1.m1.1.11.3.3.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.11.3.2\" xref=\"p1.1.m1.1.11.3.2.cmml\">R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.21.2.2.2.1\" xref=\"p1.1.m1.1.21.2.2.2.1.cmml\">\u2062<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">\n <mfrac id=\"p1.1.m1.1.12a\" xref=\"p1.1.m1.1.12.cmml\">\n <mo id=\"p1.1.m1.1.12.2\" xref=\"p1.1.m1.1.12.2.cmml\">\u2202<\/mo>\n <mrow id=\"p1.1.m1.1.12.3\" xref=\"p1.1.m1.1.12.3.cmml\">\n <mo id=\"p1.1.m1.1.12.3.1\" xref=\"p1.1.m1.1.12.3.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.12.3a\" xref=\"p1.1.m1.1.12.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.12.3.2\" xref=\"p1.1.m1.1.12.3.2.cmml\">R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.21.2.2.2.1a\" xref=\"p1.1.m1.1.21.2.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.21.2.2.2.2\" xref=\"p1.1.m1.1.21.2.2.2.2.1.cmml\">\n <mo id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.21.2.2.2.2.1.1.cmml\">[<\/mo>\n <mrow id=\"p1.1.m1.1.21.2.2.2.2.2\" xref=\"p1.1.m1.1.21.2.2.2.2.2.cmml\">\n <msup id=\"p1.1.m1.1.21.2.2.2.2.2.2\" xref=\"p1.1.m1.1.21.2.2.2.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">R<\/mi>\n <mn id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">2<\/mn>\n <\/msup>\n <mo id=\"p1.1.m1.1.21.2.2.2.2.2.1\" xref=\"p1.1.m1.1.21.2.2.2.2.2.1.cmml\">\u2062<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">\n <mfrac id=\"p1.1.m1.1.16a\" xref=\"p1.1.m1.1.16.cmml\">\n <mrow id=\"p1.1.m1.1.16.2\" xref=\"p1.1.m1.1.16.2.cmml\">\n <mrow id=\"p1.1.m1.1.16.2.8\" xref=\"p1.1.m1.1.16.2.8.cmml\">\n <mo id=\"p1.1.m1.1.16.2.1\" xref=\"p1.1.m1.1.16.2.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.16.2.8a\" xref=\"p1.1.m1.1.16.2.8.cmml\">\u2061<\/mo>\n <msub id=\"p1.1.m1.1.16.2.8.1\" xref=\"p1.1.m1.1.16.2.8.1.cmml\">\n <mi id=\"p1.1.m1.1.16.2.2\" xref=\"p1.1.m1.1.16.2.2.cmml\">D<\/mi>\n <mi id=\"p1.1.m1.1.16.2.3.1\" xref=\"p1.1.m1.1.16.2.3.1.cmml\">n<\/mi>\n <\/msub>\n <\/mrow>\n <mo id=\"p1.1.m1.1.16.2.7\" xref=\"p1.1.m1.1.16.2.7.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.16.2.9\" xref=\"p1.1.m1.1.16.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.16.2.4\" xref=\"p1.1.m1.1.16.2.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.16.2.5\" xref=\"p1.1.m1.1.16.2.5.cmml\">R<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.16.2.6\" xref=\"p1.1.m1.1.16.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.16.3\" xref=\"p1.1.m1.1.16.3.cmml\">\n <mo id=\"p1.1.m1.1.16.3.1\" xref=\"p1.1.m1.1.16.3.1.cmml\">\u2202<\/mo>\n <mo id=\"p1.1.m1.1.16.3a\" xref=\"p1.1.m1.1.16.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.16.3.2\" xref=\"p1.1.m1.1.16.3.2.cmml\">R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo rspace=\"4.2pt\" id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.21.2.2.2.2.1.1.cmml\">]<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.21.2.2.2.1b\" xref=\"p1.1.m1.1.21.2.2.2.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.21.2.2.2.3\" xref=\"p1.1.m1.1.21.2.2.2.3.cmml\">\n <mo rspace=\"0pt\" id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">\ud835\udc51<\/mo>\n <mi id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">R<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\n <eq id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.21.1.cmml\" xref=\"p1.1.m1.1.21.1\">\n <times id=\"p1.1.m1.1.21.1.1.cmml\" xref=\"p1.1.m1.1.21.1.1\"\/>\n <apply id=\"p1.1.m1.1.21.1.2.cmml\" xref=\"p1.1.m1.1.21.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">italic-\u03d5<\/ci>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udf05<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.2.cmml\" xref=\"p1.1.m1.1.21.2\">\n <times id=\"p1.1.m1.1.21.2.1.cmml\" xref=\"p1.1.m1.1.21.2.1\"\/>\n <apply id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\n <divide id=\"p1.1.m1.1.7.1.cmml\" xref=\"p1.1.m1.1.7\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.cmml\" xref=\"p1.1.m1.1.7.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.7.3.cmml\" xref=\"p1.1.m1.1.7.3\">\n <times id=\"p1.1.m1.1.7.3.6.cmml\" xref=\"p1.1.m1.1.7.3.6\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.1.cmml\" xref=\"p1.1.m1.1.7.3.1\">4<\/cn>\n <apply id=\"p1.1.m1.1.7.3.7.cmml\" xref=\"p1.1.m1.1.7.3.7\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.7.1.cmml\" xref=\"p1.1.m1.1.7.3.7\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.3.2.cmml\" xref=\"p1.1.m1.1.7.3.2\">\ud835\udf0b<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.3.1.cmml\" xref=\"p1.1.m1.1.7.3.3.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.3.8.cmml\" xref=\"p1.1.m1.1.7.3.8\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.8.1.cmml\" xref=\"p1.1.m1.1.7.3.8\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.3.4.cmml\" xref=\"p1.1.m1.1.7.3.4\">\ud835\udf05<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.5.1.cmml\" xref=\"p1.1.m1.1.7.3.5.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.2.2.cmml\" xref=\"p1.1.m1.1.21.2.2\">\n <apply id=\"p1.1.m1.1.21.2.2.1.cmml\" xref=\"p1.1.m1.1.21.2.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.2.2.1.1.cmml\" xref=\"p1.1.m1.1.21.2.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.21.2.2.1.2.cmml\" xref=\"p1.1.m1.1.21.2.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.2.2.1.2.1.cmml\" xref=\"p1.1.m1.1.21.2.2.1\">subscript<\/csymbol>\n <int id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">0<\/cn>\n <\/apply>\n <infinity id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.2.2.2.cmml\" xref=\"p1.1.m1.1.21.2.2.2\">\n <times id=\"p1.1.m1.1.21.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.2.2.2.1\"\/>\n <apply id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">\n <divide id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11\"\/>\n <apply id=\"p1.1.m1.1.11.2.6.cmml\" xref=\"p1.1.m1.1.11.2.7\">\n <sin id=\"p1.1.m1.1.11.2.1.cmml\" xref=\"p1.1.m1.1.11.2.1\"\/>\n <apply id=\"p1.1.m1.1.11.2.7.1.cmml\" xref=\"p1.1.m1.1.11.2.7.1\">\n <times id=\"p1.1.m1.1.11.2.7.1.1.cmml\" xref=\"p1.1.m1.1.11.2.7.1.1\"\/>\n <ci id=\"p1.1.m1.1.11.2.3.cmml\" xref=\"p1.1.m1.1.11.2.3\">\ud835\udf05<\/ci>\n <ci id=\"p1.1.m1.1.11.2.4.cmml\" xref=\"p1.1.m1.1.11.2.4\">\ud835\udc45<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.11.3.cmml\" xref=\"p1.1.m1.1.11.3\">\n <times id=\"p1.1.m1.1.11.3.3.cmml\" xref=\"p1.1.m1.1.11.3.3\"\/>\n <ci id=\"p1.1.m1.1.11.3.1.cmml\" xref=\"p1.1.m1.1.11.3.1\">\ud835\udf05<\/ci>\n <ci id=\"p1.1.m1.1.11.3.2.cmml\" xref=\"p1.1.m1.1.11.3.2\">\ud835\udc45<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\n <divide id=\"p1.1.m1.1.12.1.cmml\" xref=\"p1.1.m1.1.12\"\/>\n <partialdiff id=\"p1.1.m1.1.12.2.cmml\" xref=\"p1.1.m1.1.12.2\"\/>\n <apply id=\"p1.1.m1.1.12.3.cmml\" xref=\"p1.1.m1.1.12.3\">\n <partialdiff id=\"p1.1.m1.1.12.3.1.cmml\" xref=\"p1.1.m1.1.12.3.1\"\/>\n <ci id=\"p1.1.m1.1.12.3.2.cmml\" xref=\"p1.1.m1.1.12.3.2\">\ud835\udc45<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.2.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.2.2.2.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.21.2.2.2.2.1.1.cmml\" xref=\"p1.1.m1.1.13\">delimited-[]<\/csymbol>\n <apply id=\"p1.1.m1.1.21.2.2.2.2.2.cmml\" xref=\"p1.1.m1.1.21.2.2.2.2.2\">\n <times id=\"p1.1.m1.1.21.2.2.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.2.2.2.2.2.1\"\/>\n <apply id=\"p1.1.m1.1.21.2.2.2.2.2.2.cmml\" xref=\"p1.1.m1.1.21.2.2.2.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.2.2.2.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.2.2.2.2.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">\ud835\udc45<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">\n <divide id=\"p1.1.m1.1.16.1.cmml\" xref=\"p1.1.m1.1.16\"\/>\n <apply id=\"p1.1.m1.1.16.2.cmml\" xref=\"p1.1.m1.1.16.2\">\n <times id=\"p1.1.m1.1.16.2.7.cmml\" xref=\"p1.1.m1.1.16.2.7\"\/>\n <apply id=\"p1.1.m1.1.16.2.8.cmml\" xref=\"p1.1.m1.1.16.2.8\">\n <partialdiff id=\"p1.1.m1.1.16.2.1.cmml\" xref=\"p1.1.m1.1.16.2.1\"\/>\n <apply id=\"p1.1.m1.1.16.2.8.1.cmml\" xref=\"p1.1.m1.1.16.2.8.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.16.2.8.1.1.cmml\" xref=\"p1.1.m1.1.16.2.8.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.16.2.2.cmml\" xref=\"p1.1.m1.1.16.2.2\">\ud835\udc37<\/ci>\n <ci id=\"p1.1.m1.1.16.2.3.1.cmml\" xref=\"p1.1.m1.1.16.2.3.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.16.2.5.cmml\" xref=\"p1.1.m1.1.16.2.5\">\ud835\udc45<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.16.3.cmml\" xref=\"p1.1.m1.1.16.3\">\n <partialdiff id=\"p1.1.m1.1.16.3.1.cmml\" xref=\"p1.1.m1.1.16.3.1\"\/>\n <ci id=\"p1.1.m1.1.16.3.2.cmml\" xref=\"p1.1.m1.1.16.3.2\">\ud835\udc45<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.2.2.2.3.cmml\" xref=\"p1.1.m1.1.21.2.2.2.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">differential-d<\/csymbol>\n <ci id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">\ud835\udc45<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\phi_{n}(\\kappa)=\\frac{1}{4\\pi^{2}\\kappa^{2}}\\int_%\n{0}^{\\infty}\\frac{\\sin(\\kappa R)}{\\kappa R}\\frac{\\partial}{\\partial R}\\left[R^%\n{2}\\frac{\\partial D_{n}(R)}{\\partial R}\\right]\\,dR}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\phi_n(\\kappa) = 0.033C_n^2\\kappa^{-11\/3},\\quad \\frac{1}{L_0}\\ll\\kappa\\ll\\frac{1}{l_0}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\phi _{n}(\\kappa )=0.033C_{n}^{2}\\kappa ^{-11\/3},\\quad {\\frac {1}{L_{0}}}\\ll \\kappa \\ll {\\frac {1}{l_{0}}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>ϕ<!-- \u03d5 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">(<\/mo>\n <mi>κ<!-- \u03ba --><\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mn>0.033<\/mn>\n <msubsup>\n <mi>C<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <msup>\n <mi>κ<!-- \u03ba --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>−<!-- \u2212 --><\/mo>\n <mn>11<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <mspace width=\"1em\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <msub>\n <mi>L<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mfrac>\n <\/mrow>\n <mo>≪<!-- \u226a --><\/mo>\n <mi>κ<!-- \u03ba --><\/mi>\n <mo>≪<!-- \u226a --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <msub>\n <mi>l<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\phi _{n}(\\kappa )=0.033C_{n}^{2}\\kappa ^{-11\/3},\\quad {\\frac {1}{L_{0}}}\\ll \\kappa \\ll {\\frac {1}{l_{0}}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\phi_{n}(\\kappa)=0.033C_{n}^{2}\\kappa^{-11\/3},% \\quad\\frac{1}{L_{0}}\\ll\\kappa\\ll\\frac{1}{l_{0}}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.1.cmml\">\n <mrow id=\"p1.1.m1.1.24.2\" xref=\"p1.1.m1.1.24.2.cmml\">\n <mrow id=\"p1.1.m1.1.24.2.1\" xref=\"p1.1.m1.1.24.2.1.cmml\">\n <msub id=\"p1.1.m1.1.24.2.1.2\" xref=\"p1.1.m1.1.24.2.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03d5<\/mi>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">n<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.24.2.1.1\" xref=\"p1.1.m1.1.24.2.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.24.2.1.3\" xref=\"p1.1.m1.1.24.2.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.24.2.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03ba<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.24.2.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.24.2.2\" xref=\"p1.1.m1.1.24.2.2.cmml\">\n <mn id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">0.033<\/mn>\n <mo id=\"p1.1.m1.1.24.2.2.1\" xref=\"p1.1.m1.1.24.2.2.1.cmml\">\u2062<\/mo>\n <msubsup id=\"p1.1.m1.1.24.2.2.2\" xref=\"p1.1.m1.1.24.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">C<\/mi>\n <mi id=\"p1.1.m1.1.13.1\" xref=\"p1.1.m1.1.13.1.cmml\">n<\/mi>\n <mn id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">2<\/mn>\n <\/msubsup>\n <mo id=\"p1.1.m1.1.24.2.2.1a\" xref=\"p1.1.m1.1.24.2.2.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.24.2.2.3\" xref=\"p1.1.m1.1.24.2.2.3.cmml\">\n <mi id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\u03ba<\/mi>\n <mrow id=\"p1.1.m1.1.16.1\" xref=\"p1.1.m1.1.16.1.cmml\">\n <mo id=\"p1.1.m1.1.16.1.1\" xref=\"p1.1.m1.1.16.1.1.cmml\">-<\/mo>\n <mrow id=\"p1.1.m1.1.16.1.6\" xref=\"p1.1.m1.1.16.1.6.cmml\">\n <mn id=\"p1.1.m1.1.16.1.3\" xref=\"p1.1.m1.1.16.1.3.cmml\">11<\/mn>\n <mo id=\"p1.1.m1.1.16.1.4\" xref=\"p1.1.m1.1.16.1.4.cmml\">\/<\/mo>\n <mn id=\"p1.1.m1.1.16.1.5\" xref=\"p1.1.m1.1.16.1.5.cmml\">3<\/mn>\n <\/mrow>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <\/mrow>\n <mo rspace=\"12.5pt\" id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.24.1a.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.24.3\" xref=\"p1.1.m1.1.24.3.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">\n <mfrac id=\"p1.1.m1.1.19a\" xref=\"p1.1.m1.1.19.cmml\">\n <mn id=\"p1.1.m1.1.19.2\" xref=\"p1.1.m1.1.19.2.cmml\">1<\/mn>\n <msub id=\"p1.1.m1.1.19.3\" xref=\"p1.1.m1.1.19.3.cmml\">\n <mi id=\"p1.1.m1.1.19.3.1\" xref=\"p1.1.m1.1.19.3.1.cmml\">L<\/mi>\n <mn id=\"p1.1.m1.1.19.3.2.1\" xref=\"p1.1.m1.1.19.3.2.1.cmml\">0<\/mn>\n <\/msub>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">\u226a<\/mo>\n <mi id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\u03ba<\/mi>\n <mo id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">\u226a<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">\n <mfrac id=\"p1.1.m1.1.23a\" xref=\"p1.1.m1.1.23.cmml\">\n <mn id=\"p1.1.m1.1.23.2\" xref=\"p1.1.m1.1.23.2.cmml\">1<\/mn>\n <msub id=\"p1.1.m1.1.23.3\" xref=\"p1.1.m1.1.23.3.cmml\">\n <mi id=\"p1.1.m1.1.23.3.1\" xref=\"p1.1.m1.1.23.3.1.cmml\">l<\/mi>\n <mn id=\"p1.1.m1.1.23.3.2.1\" xref=\"p1.1.m1.1.23.3.2.1.cmml\">0<\/mn>\n <\/msub>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.24.1.cmml\" xref=\"p1.1.m1.1.24\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.24.1a.cmml\" xref=\"p1.1.m1.1.17\">formulae-sequence<\/csymbol>\n <apply id=\"p1.1.m1.1.24.2.cmml\" xref=\"p1.1.m1.1.24.2\">\n <eq id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.24.2.1.cmml\" xref=\"p1.1.m1.1.24.2.1\">\n <times id=\"p1.1.m1.1.24.2.1.1.cmml\" xref=\"p1.1.m1.1.24.2.1.1\"\/>\n <apply id=\"p1.1.m1.1.24.2.1.2.cmml\" xref=\"p1.1.m1.1.24.2.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.24.2.1.2.1.cmml\" xref=\"p1.1.m1.1.24.2.1.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">italic-\u03d5<\/ci>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udf05<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.24.2.2.cmml\" xref=\"p1.1.m1.1.24.2.2\">\n <times id=\"p1.1.m1.1.24.2.2.1.cmml\" xref=\"p1.1.m1.1.24.2.2.1\"\/>\n <cn type=\"float\" id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">0.033<\/cn>\n <apply id=\"p1.1.m1.1.24.2.2.2.cmml\" xref=\"p1.1.m1.1.24.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.24.2.2.2.1.cmml\" xref=\"p1.1.m1.1.24.2.2.2\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.24.2.2.2.2.cmml\" xref=\"p1.1.m1.1.24.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.24.2.2.2.2.1.cmml\" xref=\"p1.1.m1.1.24.2.2.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc36<\/ci>\n <ci id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.24.2.2.3.cmml\" xref=\"p1.1.m1.1.24.2.2.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.24.2.2.3.1.cmml\" xref=\"p1.1.m1.1.24.2.2.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\ud835\udf05<\/ci>\n <apply id=\"p1.1.m1.1.16.1.cmml\" xref=\"p1.1.m1.1.16.1\">\n <minus id=\"p1.1.m1.1.16.1.1.cmml\" xref=\"p1.1.m1.1.16.1.1\"\/>\n <apply id=\"p1.1.m1.1.16.1.6.cmml\" xref=\"p1.1.m1.1.16.1.6\">\n <divide id=\"p1.1.m1.1.16.1.4.cmml\" xref=\"p1.1.m1.1.16.1.4\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.16.1.3.cmml\" xref=\"p1.1.m1.1.16.1.3\">11<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.16.1.5.cmml\" xref=\"p1.1.m1.1.16.1.5\">3<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.24.3.cmml\" xref=\"p1.1.m1.1.24.3\">\n <and id=\"p1.1.m1.1.24.3a.cmml\" xref=\"p1.1.m1.1.24.3\"\/>\n <apply id=\"p1.1.m1.1.24.3b.cmml\" xref=\"p1.1.m1.1.24.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">much-less-than<\/csymbol>\n <apply id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">\n <divide id=\"p1.1.m1.1.19.1.cmml\" xref=\"p1.1.m1.1.19\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.2.cmml\" xref=\"p1.1.m1.1.19.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.19.3.cmml\" xref=\"p1.1.m1.1.19.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.19.3.3.cmml\" xref=\"p1.1.m1.1.19.3\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.19.3.1.cmml\" xref=\"p1.1.m1.1.19.3.1\">\ud835\udc3f<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.3.2.1.cmml\" xref=\"p1.1.m1.1.19.3.2.1\">0<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\ud835\udf05<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.24.3c.cmml\" xref=\"p1.1.m1.1.24.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">much-less-than<\/csymbol>\n <share href=\"#p1.1.m1.1.21.cmml\" id=\"p1.1.m1.1.24.3d.cmml\" xref=\"p1.1.m1.1.24.3\"\/>\n <apply id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">\n <divide id=\"p1.1.m1.1.23.1.cmml\" xref=\"p1.1.m1.1.23\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.23.2.cmml\" xref=\"p1.1.m1.1.23.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.23.3.cmml\" xref=\"p1.1.m1.1.23.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.23.3.3.cmml\" xref=\"p1.1.m1.1.23.3\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.23.3.1.cmml\" xref=\"p1.1.m1.1.23.3.1\">\ud835\udc59<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.23.3.2.1.cmml\" xref=\"p1.1.m1.1.23.3.2.1\">0<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\phi_{n}(\\kappa)=0.033C_{n}^{2}\\kappa^{-11\/3},%\n\\quad\\frac{1}{L_{0}}\\ll\\kappa\\ll\\frac{1}{l_{0}}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\phi_n(\\kappa) =\n0.033C_n^2\\kappa^{-11\/3},\\quad\n\\frac{1}{L_0}\\ll\\kappa\\ll\\frac{1}{l_0}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\phi _{n}(\\kappa )=0.033C_{n}^{2}\\kappa ^{-11\/3},\\quad {\\frac {1}{L_{0}}}\\ll \\kappa \\ll {\\frac {1}{l_{0}}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>ϕ<!-- \u03d5 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">(<\/mo>\n <mi>κ<!-- \u03ba --><\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mn>0.033<\/mn>\n <msubsup>\n <mi>C<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <msup>\n <mi>κ<!-- \u03ba --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>−<!-- \u2212 --><\/mo>\n <mn>11<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <mspace width=\"1em\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <msub>\n <mi>L<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mfrac>\n <\/mrow>\n <mo>≪<!-- \u226a --><\/mo>\n <mi>κ<!-- \u03ba --><\/mi>\n <mo>≪<!-- \u226a --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <msub>\n <mi>l<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\phi _{n}(\\kappa )=0.033C_{n}^{2}\\kappa ^{-11\/3},\\quad {\\frac {1}{L_{0}}}\\ll \\kappa \\ll {\\frac {1}{l_{0}}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\phi_{n}(\\kappa)=0.033C_{n}^{2}\\kappa^{-11\/3},% \\quad\\frac{1}{L_{0}}\\ll\\kappa\\ll\\frac{1}{l_{0}}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.1.cmml\">\n <mrow id=\"p1.1.m1.1.24.2\" xref=\"p1.1.m1.1.24.2.cmml\">\n <mrow id=\"p1.1.m1.1.24.2.1\" xref=\"p1.1.m1.1.24.2.1.cmml\">\n <msub id=\"p1.1.m1.1.24.2.1.2\" xref=\"p1.1.m1.1.24.2.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03d5<\/mi>\n <mi id=\"p1.1.m1.1.2.1\" xref=\"p1.1.m1.1.2.1.cmml\">n<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.24.2.1.1\" xref=\"p1.1.m1.1.24.2.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.24.2.1.3\" xref=\"p1.1.m1.1.24.2.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.24.2.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03ba<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.24.2.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.24.2.2\" xref=\"p1.1.m1.1.24.2.2.cmml\">\n <mn id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">0.033<\/mn>\n <mo id=\"p1.1.m1.1.24.2.2.1\" xref=\"p1.1.m1.1.24.2.2.1.cmml\">\u2062<\/mo>\n <msubsup id=\"p1.1.m1.1.24.2.2.2\" xref=\"p1.1.m1.1.24.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">C<\/mi>\n <mi id=\"p1.1.m1.1.13.1\" xref=\"p1.1.m1.1.13.1.cmml\">n<\/mi>\n <mn id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">2<\/mn>\n <\/msubsup>\n <mo id=\"p1.1.m1.1.24.2.2.1a\" xref=\"p1.1.m1.1.24.2.2.1.cmml\">\u2062<\/mo>\n <msup id=\"p1.1.m1.1.24.2.2.3\" xref=\"p1.1.m1.1.24.2.2.3.cmml\">\n <mi id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">\u03ba<\/mi>\n <mrow id=\"p1.1.m1.1.16.1\" xref=\"p1.1.m1.1.16.1.cmml\">\n <mo id=\"p1.1.m1.1.16.1.1\" xref=\"p1.1.m1.1.16.1.1.cmml\">-<\/mo>\n <mrow id=\"p1.1.m1.1.16.1.6\" xref=\"p1.1.m1.1.16.1.6.cmml\">\n <mn id=\"p1.1.m1.1.16.1.3\" xref=\"p1.1.m1.1.16.1.3.cmml\">11<\/mn>\n <mo id=\"p1.1.m1.1.16.1.4\" xref=\"p1.1.m1.1.16.1.4.cmml\">\/<\/mo>\n <mn id=\"p1.1.m1.1.16.1.5\" xref=\"p1.1.m1.1.16.1.5.cmml\">3<\/mn>\n <\/mrow>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <\/mrow>\n <mo rspace=\"12.5pt\" id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.24.1a.cmml\">,<\/mo>\n <mrow id=\"p1.1.m1.1.24.3\" xref=\"p1.1.m1.1.24.3.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">\n <mfrac id=\"p1.1.m1.1.19a\" xref=\"p1.1.m1.1.19.cmml\">\n <mn id=\"p1.1.m1.1.19.2\" xref=\"p1.1.m1.1.19.2.cmml\">1<\/mn>\n <msub id=\"p1.1.m1.1.19.3\" xref=\"p1.1.m1.1.19.3.cmml\">\n <mi id=\"p1.1.m1.1.19.3.1\" xref=\"p1.1.m1.1.19.3.1.cmml\">L<\/mi>\n <mn id=\"p1.1.m1.1.19.3.2.1\" xref=\"p1.1.m1.1.19.3.2.1.cmml\">0<\/mn>\n <\/msub>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">\u226a<\/mo>\n <mi id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\u03ba<\/mi>\n <mo id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">\u226a<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">\n <mfrac id=\"p1.1.m1.1.23a\" xref=\"p1.1.m1.1.23.cmml\">\n <mn id=\"p1.1.m1.1.23.2\" xref=\"p1.1.m1.1.23.2.cmml\">1<\/mn>\n <msub id=\"p1.1.m1.1.23.3\" xref=\"p1.1.m1.1.23.3.cmml\">\n <mi id=\"p1.1.m1.1.23.3.1\" xref=\"p1.1.m1.1.23.3.1.cmml\">l<\/mi>\n <mn id=\"p1.1.m1.1.23.3.2.1\" xref=\"p1.1.m1.1.23.3.2.1.cmml\">0<\/mn>\n <\/msub>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.24.1.cmml\" xref=\"p1.1.m1.1.24\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.24.1a.cmml\" xref=\"p1.1.m1.1.17\">formulae-sequence<\/csymbol>\n <apply id=\"p1.1.m1.1.24.2.cmml\" xref=\"p1.1.m1.1.24.2\">\n <eq id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <apply id=\"p1.1.m1.1.24.2.1.cmml\" xref=\"p1.1.m1.1.24.2.1\">\n <times id=\"p1.1.m1.1.24.2.1.1.cmml\" xref=\"p1.1.m1.1.24.2.1.1\"\/>\n <apply id=\"p1.1.m1.1.24.2.1.2.cmml\" xref=\"p1.1.m1.1.24.2.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.24.2.1.2.1.cmml\" xref=\"p1.1.m1.1.24.2.1.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">italic-\u03d5<\/ci>\n <ci id=\"p1.1.m1.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udf05<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.24.2.2.cmml\" xref=\"p1.1.m1.1.24.2.2\">\n <times id=\"p1.1.m1.1.24.2.2.1.cmml\" xref=\"p1.1.m1.1.24.2.2.1\"\/>\n <cn type=\"float\" id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">0.033<\/cn>\n <apply id=\"p1.1.m1.1.24.2.2.2.cmml\" xref=\"p1.1.m1.1.24.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.24.2.2.2.1.cmml\" xref=\"p1.1.m1.1.24.2.2.2\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.24.2.2.2.2.cmml\" xref=\"p1.1.m1.1.24.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.24.2.2.2.2.1.cmml\" xref=\"p1.1.m1.1.24.2.2.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">\ud835\udc36<\/ci>\n <ci id=\"p1.1.m1.1.13.1.cmml\" xref=\"p1.1.m1.1.13.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.24.2.2.3.cmml\" xref=\"p1.1.m1.1.24.2.2.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.24.2.2.3.1.cmml\" xref=\"p1.1.m1.1.24.2.2.3\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">\ud835\udf05<\/ci>\n <apply id=\"p1.1.m1.1.16.1.cmml\" xref=\"p1.1.m1.1.16.1\">\n <minus id=\"p1.1.m1.1.16.1.1.cmml\" xref=\"p1.1.m1.1.16.1.1\"\/>\n <apply id=\"p1.1.m1.1.16.1.6.cmml\" xref=\"p1.1.m1.1.16.1.6\">\n <divide id=\"p1.1.m1.1.16.1.4.cmml\" xref=\"p1.1.m1.1.16.1.4\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.16.1.3.cmml\" xref=\"p1.1.m1.1.16.1.3\">11<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.16.1.5.cmml\" xref=\"p1.1.m1.1.16.1.5\">3<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.24.3.cmml\" xref=\"p1.1.m1.1.24.3\">\n <and id=\"p1.1.m1.1.24.3a.cmml\" xref=\"p1.1.m1.1.24.3\"\/>\n <apply id=\"p1.1.m1.1.24.3b.cmml\" xref=\"p1.1.m1.1.24.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">much-less-than<\/csymbol>\n <apply id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">\n <divide id=\"p1.1.m1.1.19.1.cmml\" xref=\"p1.1.m1.1.19\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.2.cmml\" xref=\"p1.1.m1.1.19.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.19.3.cmml\" xref=\"p1.1.m1.1.19.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.19.3.3.cmml\" xref=\"p1.1.m1.1.19.3\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.19.3.1.cmml\" xref=\"p1.1.m1.1.19.3.1\">\ud835\udc3f<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.3.2.1.cmml\" xref=\"p1.1.m1.1.19.3.2.1\">0<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\ud835\udf05<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.24.3c.cmml\" xref=\"p1.1.m1.1.24.3\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">much-less-than<\/csymbol>\n <share href=\"#p1.1.m1.1.21.cmml\" id=\"p1.1.m1.1.24.3d.cmml\" xref=\"p1.1.m1.1.24.3\"\/>\n <apply id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">\n <divide id=\"p1.1.m1.1.23.1.cmml\" xref=\"p1.1.m1.1.23\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.23.2.cmml\" xref=\"p1.1.m1.1.23.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.23.3.cmml\" xref=\"p1.1.m1.1.23.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.23.3.3.cmml\" xref=\"p1.1.m1.1.23.3\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.23.3.1.cmml\" xref=\"p1.1.m1.1.23.3.1\">\ud835\udc59<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.23.3.2.1.cmml\" xref=\"p1.1.m1.1.23.3.2.1\">0<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\phi_{n}(\\kappa)=0.033C_{n}^{2}\\kappa^{-11\/3},%\n\\quad\\frac{1}{L_{0}}\\ll\\kappa\\ll\\frac{1}{l_{0}}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "f(x) = \\begin{cases}1 & -1 \\le x < 0 \\\\\n\\frac{1}{2} & x = 0 \\\\ 1 - x^2 & \\text{otherwise}\\end{cases}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle f(x)={\\begin{cases}1&-1\\leq x<0\\\\{\\frac {1}{2}}&x=0\\\\1-x^{2}&{\\text{otherwise}}\\end{cases}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>{<\/mo>\n <mtable columnalign=\"left left\" rowspacing=\".2em\" columnspacing=\"1em\" displaystyle=\"false\">\n <mtr>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <mtd>\n <mo>−<!-- \u2212 --><\/mo>\n <mn>1<\/mn>\n <mo>≤<!-- \u2264 --><\/mo>\n <mi>x<\/mi>\n <mo><<\/mo>\n <mn>0<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <mn>2<\/mn>\n <\/mfrac>\n <\/mrow>\n <\/mtd>\n <mtd>\n <mi>x<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>1<\/mn>\n <mo>−<!-- \u2212 --><\/mo>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <mtd>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>otherwise<\/mtext>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\"><\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle f(x)={\\begin{cases}1&-1\\leq x<0\\\\{\\frac {1}{2}}&x=0\\\\1-x^{2}&{\\text{otherwise}}\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle f(x)=\\begin{cases}1&-1\\leq x<0\\\\ \\frac{1}{2}&x=0\\\\ 1-x^{2}&\\text{otherwise}\\end{cases}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mrow id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.9.1.1\" xref=\"p1.1.m1.1.9.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.9.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.8.1.1.cmml\">{<\/mo>\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtr id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7b\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mn id=\"p1.1.m1.1.7.1.1.1\" xref=\"p1.1.m1.1.7.1.1.1.cmml\">1<\/mn>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7c\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.7.1.2.1\" xref=\"p1.1.m1.1.7.1.2.1.cmml\">\n <mrow id=\"p1.1.m1.1.7.1.2.1.8\" xref=\"p1.1.m1.1.7.1.2.1.8.cmml\">\n <mo id=\"p1.1.m1.1.7.1.2.1.1\" xref=\"p1.1.m1.1.7.1.2.1.1.cmml\">-<\/mo>\n <mn id=\"p1.1.m1.1.7.1.2.1.2\" xref=\"p1.1.m1.1.7.1.2.1.2.cmml\">1<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7.1.2.1.3\" xref=\"p1.1.m1.1.7.1.2.1.3.cmml\">\u2264<\/mo>\n <mi id=\"p1.1.m1.1.7.1.2.1.4\" xref=\"p1.1.m1.1.7.1.2.1.4.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.7.1.2.1.5\" xref=\"p1.1.m1.1.7.1.2.1.5.cmml\"><<\/mo>\n <mn id=\"p1.1.m1.1.7.1.2.1.6\" xref=\"p1.1.m1.1.7.1.2.1.6.cmml\">0<\/mn>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.7d\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7e\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mfrac id=\"p1.1.m1.1.7.2.1.1\" xref=\"p1.1.m1.1.7.2.1.1.cmml\">\n <mn id=\"p1.1.m1.1.7.2.1.1.1.2\" xref=\"p1.1.m1.1.7.2.1.1.1.2.cmml\">1<\/mn>\n <mn id=\"p1.1.m1.1.7.2.1.1.1.3\" xref=\"p1.1.m1.1.7.2.1.1.1.3.cmml\">2<\/mn>\n <\/mfrac>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7f\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.7.2.2.1\" xref=\"p1.1.m1.1.7.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.7.2.2.1.1\" xref=\"p1.1.m1.1.7.2.2.1.1.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.7.2.2.1.2\" xref=\"p1.1.m1.1.7.2.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.7.2.2.1.3\" xref=\"p1.1.m1.1.7.2.2.1.3.cmml\">0<\/mn>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.7g\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7h\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.7.3.1.1\" xref=\"p1.1.m1.1.7.3.1.1.cmml\">\n <mn id=\"p1.1.m1.1.7.3.1.1.1\" xref=\"p1.1.m1.1.7.3.1.1.1.cmml\">1<\/mn>\n <mo id=\"p1.1.m1.1.7.3.1.1.2\" xref=\"p1.1.m1.1.7.3.1.1.2.cmml\">-<\/mo>\n <msup id=\"p1.1.m1.1.7.3.1.1.5\" xref=\"p1.1.m1.1.7.3.1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.7.3.1.1.3\" xref=\"p1.1.m1.1.7.3.1.1.3.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.7.3.1.1.4.1\" xref=\"p1.1.m1.1.7.3.1.1.4.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7i\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtext id=\"p1.1.m1.1.7.3.2.1\" xref=\"p1.1.m1.1.7.3.2.1a.cmml\">otherwise<\/mtext>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <eq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n <times id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.6\">cases<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.1.1.1.cmml\" xref=\"p1.1.m1.1.7.1.1.1\">1<\/cn>\n <apply id=\"p1.1.m1.1.7.1.2.1.cmml\" xref=\"p1.1.m1.1.7.1.2.1\">\n <and id=\"p1.1.m1.1.7.1.2.1a.cmml\" xref=\"p1.1.m1.1.7.1.2.1\"\/>\n <apply id=\"p1.1.m1.1.7.1.2.1b.cmml\" xref=\"p1.1.m1.1.7.1.2.1\">\n <leq id=\"p1.1.m1.1.7.1.2.1.3.cmml\" xref=\"p1.1.m1.1.7.1.2.1.3\"\/>\n <apply id=\"p1.1.m1.1.7.1.2.1.8.cmml\" xref=\"p1.1.m1.1.7.1.2.1.8\">\n <minus id=\"p1.1.m1.1.7.1.2.1.1.cmml\" xref=\"p1.1.m1.1.7.1.2.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.1.2.1.2.cmml\" xref=\"p1.1.m1.1.7.1.2.1.2\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.1.2.1.4.cmml\" xref=\"p1.1.m1.1.7.1.2.1.4\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.1.2.1c.cmml\" xref=\"p1.1.m1.1.7.1.2.1\">\n <lt id=\"p1.1.m1.1.7.1.2.1.5.cmml\" xref=\"p1.1.m1.1.7.1.2.1.5\"\/>\n <share href=\"#p1.1.m1.1.7.1.2.1.4.cmml\" id=\"p1.1.m1.1.7.1.2.1d.cmml\" xref=\"p1.1.m1.1.7.1.2.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.1.2.1.6.cmml\" xref=\"p1.1.m1.1.7.1.2.1.6\">0<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.2.1.1.cmml\" xref=\"p1.1.m1.1.7.2.1.1\">\n <divide id=\"p1.1.m1.1.7.2.1.1.1.1.cmml\" xref=\"p1.1.m1.1.7.2.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.1.1.1.2.cmml\" xref=\"p1.1.m1.1.7.2.1.1.1.2\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.1.1.1.3.cmml\" xref=\"p1.1.m1.1.7.2.1.1.1.3\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.2.2.1.cmml\" xref=\"p1.1.m1.1.7.2.2.1\">\n <eq id=\"p1.1.m1.1.7.2.2.1.2.cmml\" xref=\"p1.1.m1.1.7.2.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.7.2.2.1.1.cmml\" xref=\"p1.1.m1.1.7.2.2.1.1\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.2.1.3.cmml\" xref=\"p1.1.m1.1.7.2.2.1.3\">0<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.3.1.1.cmml\" xref=\"p1.1.m1.1.7.3.1.1\">\n <minus id=\"p1.1.m1.1.7.3.1.1.2.cmml\" xref=\"p1.1.m1.1.7.3.1.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.1.1.1.cmml\" xref=\"p1.1.m1.1.7.3.1.1.1\">1<\/cn>\n <apply id=\"p1.1.m1.1.7.3.1.1.5.cmml\" xref=\"p1.1.m1.1.7.3.1.1.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.1.1.5.1.cmml\" xref=\"p1.1.m1.1.7.3.1.1.5\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.3.1.1.3.cmml\" xref=\"p1.1.m1.1.7.3.1.1.3\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.1.1.4.1.cmml\" xref=\"p1.1.m1.1.7.3.1.1.4.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.3.2.1a.cmml\" xref=\"p1.1.m1.1.7.3.2.1\">\n <mtext id=\"p1.1.m1.1.7.3.2.1.cmml\" xref=\"p1.1.m1.1.7.3.2.1\">otherwise<\/mtext>\n <\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle f(x)=\\begin{cases}1&-1\\leq x<0\\\\\n\\frac{1}{2}&x=0\\\\\n1-x^{2}&\\text{otherwise}\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\nf(x) =\n\\begin{cases}\n1 & -1 \\le x < 0 \\\\\n\\frac{1}{2} & x = 0 \\\\\n1 - x^2 & \\text{otherwise}\n\\end{cases}\n",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle f(x)={\\begin{cases}1&-1\\leq x<0\\\\{\\frac {1}{2}}&x=0\\\\1-x^{2}&{\\text{otherwise}}\\end{cases}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>{<\/mo>\n <mtable columnalign=\"left left\" rowspacing=\".2em\" columnspacing=\"1em\" displaystyle=\"false\">\n <mtr>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <mtd>\n <mo>−<!-- \u2212 --><\/mo>\n <mn>1<\/mn>\n <mo>≤<!-- \u2264 --><\/mo>\n <mi>x<\/mi>\n <mo><<\/mo>\n <mn>0<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <mn>2<\/mn>\n <\/mfrac>\n <\/mrow>\n <\/mtd>\n <mtd>\n <mi>x<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>1<\/mn>\n <mo>−<!-- \u2212 --><\/mo>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <mtd>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>otherwise<\/mtext>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\"><\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle f(x)={\\begin{cases}1&-1\\leq x<0\\\\{\\frac {1}{2}}&x=0\\\\1-x^{2}&{\\text{otherwise}}\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle f(x)=\\begin{cases}1&-1\\leq x<0\\\\ \\frac{1}{2}&x=0\\\\ 1-x^{2}&\\text{otherwise}\\end{cases}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mrow id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">f<\/mi>\n <mo id=\"p1.1.m1.1.9.1.1\" xref=\"p1.1.m1.1.9.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.9.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.9.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.9.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.8.1.1.cmml\">{<\/mo>\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtr id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7b\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mn id=\"p1.1.m1.1.7.1.1.1\" xref=\"p1.1.m1.1.7.1.1.1.cmml\">1<\/mn>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7c\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.7.1.2.1\" xref=\"p1.1.m1.1.7.1.2.1.cmml\">\n <mrow id=\"p1.1.m1.1.7.1.2.1.8\" xref=\"p1.1.m1.1.7.1.2.1.8.cmml\">\n <mo id=\"p1.1.m1.1.7.1.2.1.1\" xref=\"p1.1.m1.1.7.1.2.1.1.cmml\">-<\/mo>\n <mn id=\"p1.1.m1.1.7.1.2.1.2\" xref=\"p1.1.m1.1.7.1.2.1.2.cmml\">1<\/mn>\n <\/mrow>\n <mo id=\"p1.1.m1.1.7.1.2.1.3\" xref=\"p1.1.m1.1.7.1.2.1.3.cmml\">\u2264<\/mo>\n <mi id=\"p1.1.m1.1.7.1.2.1.4\" xref=\"p1.1.m1.1.7.1.2.1.4.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.7.1.2.1.5\" xref=\"p1.1.m1.1.7.1.2.1.5.cmml\"><<\/mo>\n <mn id=\"p1.1.m1.1.7.1.2.1.6\" xref=\"p1.1.m1.1.7.1.2.1.6.cmml\">0<\/mn>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.7d\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7e\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mfrac id=\"p1.1.m1.1.7.2.1.1\" xref=\"p1.1.m1.1.7.2.1.1.cmml\">\n <mn id=\"p1.1.m1.1.7.2.1.1.1.2\" xref=\"p1.1.m1.1.7.2.1.1.1.2.cmml\">1<\/mn>\n <mn id=\"p1.1.m1.1.7.2.1.1.1.3\" xref=\"p1.1.m1.1.7.2.1.1.1.3.cmml\">2<\/mn>\n <\/mfrac>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7f\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.7.2.2.1\" xref=\"p1.1.m1.1.7.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.7.2.2.1.1\" xref=\"p1.1.m1.1.7.2.2.1.1.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.7.2.2.1.2\" xref=\"p1.1.m1.1.7.2.2.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.7.2.2.1.3\" xref=\"p1.1.m1.1.7.2.2.1.3.cmml\">0<\/mn>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.7g\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7h\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mrow id=\"p1.1.m1.1.7.3.1.1\" xref=\"p1.1.m1.1.7.3.1.1.cmml\">\n <mn id=\"p1.1.m1.1.7.3.1.1.1\" xref=\"p1.1.m1.1.7.3.1.1.1.cmml\">1<\/mn>\n <mo id=\"p1.1.m1.1.7.3.1.1.2\" xref=\"p1.1.m1.1.7.3.1.1.2.cmml\">-<\/mo>\n <msup id=\"p1.1.m1.1.7.3.1.1.5\" xref=\"p1.1.m1.1.7.3.1.1.5.cmml\">\n <mi id=\"p1.1.m1.1.7.3.1.1.3\" xref=\"p1.1.m1.1.7.3.1.1.3.cmml\">x<\/mi>\n <mn id=\"p1.1.m1.1.7.3.1.1.4.1\" xref=\"p1.1.m1.1.7.3.1.1.4.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.7i\" xref=\"p1.1.m1.1.8.1.cmml\">\n <mtext id=\"p1.1.m1.1.7.3.2.1\" xref=\"p1.1.m1.1.7.3.2.1a.cmml\">otherwise<\/mtext>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <eq id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\"\/>\n <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n <times id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1.1\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc53<\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.8.1.cmml\" xref=\"p1.1.m1.1.8\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.8.1.1.cmml\" xref=\"p1.1.m1.1.6\">cases<\/csymbol>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.1.1.1.cmml\" xref=\"p1.1.m1.1.7.1.1.1\">1<\/cn>\n <apply id=\"p1.1.m1.1.7.1.2.1.cmml\" xref=\"p1.1.m1.1.7.1.2.1\">\n <and id=\"p1.1.m1.1.7.1.2.1a.cmml\" xref=\"p1.1.m1.1.7.1.2.1\"\/>\n <apply id=\"p1.1.m1.1.7.1.2.1b.cmml\" xref=\"p1.1.m1.1.7.1.2.1\">\n <leq id=\"p1.1.m1.1.7.1.2.1.3.cmml\" xref=\"p1.1.m1.1.7.1.2.1.3\"\/>\n <apply id=\"p1.1.m1.1.7.1.2.1.8.cmml\" xref=\"p1.1.m1.1.7.1.2.1.8\">\n <minus id=\"p1.1.m1.1.7.1.2.1.1.cmml\" xref=\"p1.1.m1.1.7.1.2.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.1.2.1.2.cmml\" xref=\"p1.1.m1.1.7.1.2.1.2\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.1.2.1.4.cmml\" xref=\"p1.1.m1.1.7.1.2.1.4\">\ud835\udc65<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.1.2.1c.cmml\" xref=\"p1.1.m1.1.7.1.2.1\">\n <lt id=\"p1.1.m1.1.7.1.2.1.5.cmml\" xref=\"p1.1.m1.1.7.1.2.1.5\"\/>\n <share href=\"#p1.1.m1.1.7.1.2.1.4.cmml\" id=\"p1.1.m1.1.7.1.2.1d.cmml\" xref=\"p1.1.m1.1.7.1.2.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.1.2.1.6.cmml\" xref=\"p1.1.m1.1.7.1.2.1.6\">0<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.2.1.1.cmml\" xref=\"p1.1.m1.1.7.2.1.1\">\n <divide id=\"p1.1.m1.1.7.2.1.1.1.1.cmml\" xref=\"p1.1.m1.1.7.2.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.1.1.1.2.cmml\" xref=\"p1.1.m1.1.7.2.1.1.1.2\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.1.1.1.3.cmml\" xref=\"p1.1.m1.1.7.2.1.1.1.3\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.2.2.1.cmml\" xref=\"p1.1.m1.1.7.2.2.1\">\n <eq id=\"p1.1.m1.1.7.2.2.1.2.cmml\" xref=\"p1.1.m1.1.7.2.2.1.2\"\/>\n <ci id=\"p1.1.m1.1.7.2.2.1.1.cmml\" xref=\"p1.1.m1.1.7.2.2.1.1\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.2.2.1.3.cmml\" xref=\"p1.1.m1.1.7.2.2.1.3\">0<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.7.3.1.1.cmml\" xref=\"p1.1.m1.1.7.3.1.1\">\n <minus id=\"p1.1.m1.1.7.3.1.1.2.cmml\" xref=\"p1.1.m1.1.7.3.1.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.1.1.1.cmml\" xref=\"p1.1.m1.1.7.3.1.1.1\">1<\/cn>\n <apply id=\"p1.1.m1.1.7.3.1.1.5.cmml\" xref=\"p1.1.m1.1.7.3.1.1.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.7.3.1.1.5.1.cmml\" xref=\"p1.1.m1.1.7.3.1.1.5\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.7.3.1.1.3.cmml\" xref=\"p1.1.m1.1.7.3.1.1.3\">\ud835\udc65<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.3.1.1.4.1.cmml\" xref=\"p1.1.m1.1.7.3.1.1.4.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.7.3.2.1a.cmml\" xref=\"p1.1.m1.1.7.3.2.1\">\n <mtext id=\"p1.1.m1.1.7.3.2.1.cmml\" xref=\"p1.1.m1.1.7.3.2.1\">otherwise<\/mtext>\n <\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle f(x)=\\begin{cases}1&-1\\leq x<0\\\\\n\\frac{1}{2}&x=0\\\\\n1-x^{2}&\\text{otherwise}\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "{}_pF_q(a_1,\\dots,a_p;c_1,\\dots,c_q;z) = \\sum_{n=0}^\\infty \\frac{(a_1)_n\\cdots(a_p)_n}{(c_1)_n\\cdots(c_q)_n}\\frac{z^n}{n!}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {}_{p}F_{q}(a_{1},\\dots ,a_{p};c_{1},\\dots ,c_{q};z)=\\sum _{n=0}^{\\infty }{\\frac {(a_{1})_{n}\\cdots (a_{p})_{n}}{(c_{1})_{n}\\cdots (c_{q})_{n}}}{\\frac {z^{n}}{n!}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>p<\/mi>\n <\/mrow>\n <\/msub>\n <msub>\n <mi>F<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>q<\/mi>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <mo>,<\/mo>\n <mo>…<!-- \u2026 --><\/mo>\n <mo>,<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>p<\/mi>\n <\/mrow>\n <\/msub>\n <mo>;<\/mo>\n <msub>\n <mi>c<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <mo>,<\/mo>\n <mo>…<!-- \u2026 --><\/mo>\n <mo>,<\/mo>\n <msub>\n <mi>c<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>q<\/mi>\n <\/mrow>\n <\/msub>\n <mo>;<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <msub>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo>⋯<!-- \u22ef --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>p<\/mi>\n <\/mrow>\n <\/msub>\n <msub>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <mrow>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>c<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <msub>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo>⋯<!-- \u22ef --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>c<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>q<\/mi>\n <\/mrow>\n <\/msub>\n <msub>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <msup>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mrow>\n <mi>n<\/mi>\n <mo>!<\/mo>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {}_{p}F_{q}(a_{1},\\dots ,a_{p};c_{1},\\dots ,c_{q};z)=\\sum _{n=0}^{\\infty }{\\frac {(a_{1})_{n}\\cdots (a_{p})_{n}}{(c_{1})_{n}\\cdots (c_{q})_{n}}}{\\frac {z^{n}}{n!}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle{}_{p}F_{q}(a_{1},\\dots,a_{p};c_{1},\\dots,c_{q};z)% =\\sum_{n=0}^{\\infty}\\frac{(a_{1})_{n}\\cdots(a_{p})_{n}}{(c_{1})_{n}\\cdots(c_{q% })_{n}}\\frac{z^{n}}{n!}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.29.cmml\">\n <mrow id=\"p1.1.m1.1.29.1\" xref=\"p1.1.m1.1.29.1.cmml\">\n <mmultiscripts id=\"p1.1.m1.1.29.1.2\" xref=\"p1.1.m1.1.29.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">F<\/mi>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">q<\/mi>\n <none id=\"p1.1.m1.1.29.1.2a\" xref=\"p1.1.m1.1.29.1.2.cmml\"\/>\n <mprescripts id=\"p1.1.m1.1.29.1.2b\" xref=\"p1.1.m1.1.29.1.2.cmml\"\/>\n <mi id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">p<\/mi>\n <none id=\"p1.1.m1.1.29.1.2c\" xref=\"p1.1.m1.1.29.1.2.cmml\"\/>\n <\/mmultiscripts>\n <mo id=\"p1.1.m1.1.29.1.1\" xref=\"p1.1.m1.1.29.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.29.1.3\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">(<\/mo>\n <msub id=\"p1.1.m1.1.29.1.3.2\" xref=\"p1.1.m1.1.29.1.3.2.cmml\">\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">1<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u2026<\/mi>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">,<\/mo>\n <msub id=\"p1.1.m1.1.29.1.3.3\" xref=\"p1.1.m1.1.29.1.3.3.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">p<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">;<\/mo>\n <msub id=\"p1.1.m1.1.29.1.3.4\" xref=\"p1.1.m1.1.29.1.3.4.cmml\">\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">c<\/mi>\n <mn id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">1<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">\u2026<\/mi>\n <mo id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">,<\/mo>\n <msub id=\"p1.1.m1.1.29.1.3.5\" xref=\"p1.1.m1.1.29.1.3.5.cmml\">\n <mi id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">c<\/mi>\n <mi id=\"p1.1.m1.1.19.1\" xref=\"p1.1.m1.1.19.1.cmml\">q<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">;<\/mo>\n <mi id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.29.2\" xref=\"p1.1.m1.1.29.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.29.2.1\" xref=\"p1.1.m1.1.29.2.1.cmml\">\n <munderover id=\"p1.1.m1.1.29.2.1a\" xref=\"p1.1.m1.1.29.2.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.25.1\" xref=\"p1.1.m1.1.25.1.cmml\">\n <mi id=\"p1.1.m1.1.25.1.1\" xref=\"p1.1.m1.1.25.1.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.25.1.2\" xref=\"p1.1.m1.1.25.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.25.1.3\" xref=\"p1.1.m1.1.25.1.3.cmml\">0<\/mn>\n <\/mrow>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.26.1\" xref=\"p1.1.m1.1.26.1.cmml\">\u221e<\/mi>\n <\/munderover>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.29.2.2\" xref=\"p1.1.m1.1.29.2.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.27.cmml\">\n <mfrac id=\"p1.1.m1.1.27a\" xref=\"p1.1.m1.1.27.cmml\">\n <mrow id=\"p1.1.m1.1.27.2\" xref=\"p1.1.m1.1.27.2.cmml\">\n <msub id=\"p1.1.m1.1.27.2.13\" xref=\"p1.1.m1.1.27.2.13.cmml\">\n <mrow id=\"p1.1.m1.1.27.2.13.2\" xref=\"p1.1.m1.1.27.2.13.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.2.1\" xref=\"p1.1.m1.1.27.2.13.2.2.cmml\">(<\/mo>\n <msub id=\"p1.1.m1.1.27.2.13.2.2\" xref=\"p1.1.m1.1.27.2.13.2.2.cmml\">\n <mi id=\"p1.1.m1.1.27.2.2\" xref=\"p1.1.m1.1.27.2.2.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.27.2.3.1\" xref=\"p1.1.m1.1.27.2.3.1.cmml\">1<\/mn>\n <\/msub>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.2.4\" xref=\"p1.1.m1.1.27.2.13.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mi id=\"p1.1.m1.1.27.2.5.1\" xref=\"p1.1.m1.1.27.2.5.1.cmml\">n<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.27.2.12\" xref=\"p1.1.m1.1.27.2.12.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.27.2.6\" xref=\"p1.1.m1.1.27.2.6.cmml\">\u22ef<\/mi>\n <mo id=\"p1.1.m1.1.27.2.12a\" xref=\"p1.1.m1.1.27.2.12.cmml\">\u2062<\/mo>\n <msub id=\"p1.1.m1.1.27.2.14\" xref=\"p1.1.m1.1.27.2.14.cmml\">\n <mrow id=\"p1.1.m1.1.27.2.14.2\" xref=\"p1.1.m1.1.27.2.14.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.2.7\" xref=\"p1.1.m1.1.27.2.14.2.2.cmml\">(<\/mo>\n <msub id=\"p1.1.m1.1.27.2.14.2.2\" xref=\"p1.1.m1.1.27.2.14.2.2.cmml\">\n <mi id=\"p1.1.m1.1.27.2.8\" xref=\"p1.1.m1.1.27.2.8.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.27.2.9.1\" xref=\"p1.1.m1.1.27.2.9.1.cmml\">p<\/mi>\n <\/msub>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.2.10\" xref=\"p1.1.m1.1.27.2.14.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mi id=\"p1.1.m1.1.27.2.11.1\" xref=\"p1.1.m1.1.27.2.11.1.cmml\">n<\/mi>\n <\/msub>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.27.3\" xref=\"p1.1.m1.1.27.3.cmml\">\n <msub id=\"p1.1.m1.1.27.3.13\" xref=\"p1.1.m1.1.27.3.13.cmml\">\n <mrow id=\"p1.1.m1.1.27.3.13.2\" xref=\"p1.1.m1.1.27.3.13.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.3.1\" xref=\"p1.1.m1.1.27.3.13.2.2.cmml\">(<\/mo>\n <msub id=\"p1.1.m1.1.27.3.13.2.2\" xref=\"p1.1.m1.1.27.3.13.2.2.cmml\">\n <mi id=\"p1.1.m1.1.27.3.2\" xref=\"p1.1.m1.1.27.3.2.cmml\">c<\/mi>\n <mn id=\"p1.1.m1.1.27.3.3.1\" xref=\"p1.1.m1.1.27.3.3.1.cmml\">1<\/mn>\n <\/msub>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.3.4\" xref=\"p1.1.m1.1.27.3.13.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mi id=\"p1.1.m1.1.27.3.5.1\" xref=\"p1.1.m1.1.27.3.5.1.cmml\">n<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.27.3.12\" xref=\"p1.1.m1.1.27.3.12.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.27.3.6\" xref=\"p1.1.m1.1.27.3.6.cmml\">\u22ef<\/mi>\n <mo id=\"p1.1.m1.1.27.3.12a\" xref=\"p1.1.m1.1.27.3.12.cmml\">\u2062<\/mo>\n <msub id=\"p1.1.m1.1.27.3.14\" xref=\"p1.1.m1.1.27.3.14.cmml\">\n <mrow id=\"p1.1.m1.1.27.3.14.2\" xref=\"p1.1.m1.1.27.3.14.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.3.7\" xref=\"p1.1.m1.1.27.3.14.2.2.cmml\">(<\/mo>\n <msub id=\"p1.1.m1.1.27.3.14.2.2\" xref=\"p1.1.m1.1.27.3.14.2.2.cmml\">\n <mi id=\"p1.1.m1.1.27.3.8\" xref=\"p1.1.m1.1.27.3.8.cmml\">c<\/mi>\n <mi id=\"p1.1.m1.1.27.3.9.1\" xref=\"p1.1.m1.1.27.3.9.1.cmml\">q<\/mi>\n <\/msub>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.3.10\" xref=\"p1.1.m1.1.27.3.14.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mi id=\"p1.1.m1.1.27.3.11.1\" xref=\"p1.1.m1.1.27.3.11.1.cmml\">n<\/mi>\n <\/msub>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.29.2.2.1\" xref=\"p1.1.m1.1.29.2.2.1.cmml\">\u2062<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.28.cmml\">\n <mfrac id=\"p1.1.m1.1.28a\" xref=\"p1.1.m1.1.28.cmml\">\n <msup id=\"p1.1.m1.1.28.2\" xref=\"p1.1.m1.1.28.2.cmml\">\n <mi id=\"p1.1.m1.1.28.2.1\" xref=\"p1.1.m1.1.28.2.1.cmml\">z<\/mi>\n <mi id=\"p1.1.m1.1.28.2.2.1\" xref=\"p1.1.m1.1.28.2.2.1.cmml\">n<\/mi>\n <\/msup>\n <mrow id=\"p1.1.m1.1.28.3\" xref=\"p1.1.m1.1.28.3.cmml\">\n <mi id=\"p1.1.m1.1.28.3.1\" xref=\"p1.1.m1.1.28.3.1.cmml\">n<\/mi>\n <mo lspace=\"0pt\" rspace=\"3.5pt\" id=\"p1.1.m1.1.28.3.2\" xref=\"p1.1.m1.1.28.3.2.cmml\">!<\/mo>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.29.cmml\" xref=\"p1.1.m1.1.29\">\n <eq id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\"\/>\n <apply id=\"p1.1.m1.1.29.1.cmml\" xref=\"p1.1.m1.1.29.1\">\n <times id=\"p1.1.m1.1.29.1.1.cmml\" xref=\"p1.1.m1.1.29.1.1\"\/>\n <apply id=\"p1.1.m1.1.29.1.2.cmml\" xref=\"p1.1.m1.1.29.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.1.2.1.cmml\" xref=\"p1.1.m1.1.29.1.2\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.29.1.2.2.cmml\" xref=\"p1.1.m1.1.29.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.1.2.2.1.cmml\" xref=\"p1.1.m1.1.29.1.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc39<\/ci>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc5e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\ud835\udc5d<\/ci>\n <\/apply>\n <vector id=\"p1.1.m1.1.29.1.3.1.cmml\" xref=\"p1.1.m1.1.29.1.3\">\n <apply id=\"p1.1.m1.1.29.1.3.2.cmml\" xref=\"p1.1.m1.1.29.1.3.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.1.3.2.1.cmml\" xref=\"p1.1.m1.1.29.1.3.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u2026<\/ci>\n <apply id=\"p1.1.m1.1.29.1.3.3.cmml\" xref=\"p1.1.m1.1.29.1.3.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.1.3.3.1.cmml\" xref=\"p1.1.m1.1.29.1.3.3\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">\ud835\udc5d<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.29.1.3.4.cmml\" xref=\"p1.1.m1.1.29.1.3.4\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.1.3.4.1.cmml\" xref=\"p1.1.m1.1.29.1.3.4\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc50<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">\u2026<\/ci>\n <apply id=\"p1.1.m1.1.29.1.3.5.cmml\" xref=\"p1.1.m1.1.29.1.3.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.1.3.5.1.cmml\" xref=\"p1.1.m1.1.29.1.3.5\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.19.1.cmml\" xref=\"p1.1.m1.1.19.1\">\ud835\udc5e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\ud835\udc67<\/ci>\n <\/vector>\n <\/apply>\n <apply id=\"p1.1.m1.1.29.2.cmml\" xref=\"p1.1.m1.1.29.2\">\n <apply id=\"p1.1.m1.1.29.2.1.cmml\" xref=\"p1.1.m1.1.29.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.2.1.1.cmml\" xref=\"p1.1.m1.1.29.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.29.2.1.2.cmml\" xref=\"p1.1.m1.1.29.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.2.1.2.1.cmml\" xref=\"p1.1.m1.1.29.2.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\"\/>\n <apply id=\"p1.1.m1.1.25.1.cmml\" xref=\"p1.1.m1.1.25.1\">\n <eq id=\"p1.1.m1.1.25.1.2.cmml\" xref=\"p1.1.m1.1.25.1.2\"\/>\n <ci id=\"p1.1.m1.1.25.1.1.cmml\" xref=\"p1.1.m1.1.25.1.1\">\ud835\udc5b<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.25.1.3.cmml\" xref=\"p1.1.m1.1.25.1.3\">0<\/cn>\n <\/apply>\n <\/apply>\n <infinity id=\"p1.1.m1.1.26.1.cmml\" xref=\"p1.1.m1.1.26.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.29.2.2.cmml\" xref=\"p1.1.m1.1.29.2.2\">\n <times id=\"p1.1.m1.1.29.2.2.1.cmml\" xref=\"p1.1.m1.1.29.2.2.1\"\/>\n <apply id=\"p1.1.m1.1.27.cmml\" xref=\"p1.1.m1.1.27\">\n <divide id=\"p1.1.m1.1.27.1.cmml\" xref=\"p1.1.m1.1.27\"\/>\n <apply id=\"p1.1.m1.1.27.2.cmml\" xref=\"p1.1.m1.1.27.2\">\n <times id=\"p1.1.m1.1.27.2.12.cmml\" xref=\"p1.1.m1.1.27.2.12\"\/>\n <apply id=\"p1.1.m1.1.27.2.13.cmml\" xref=\"p1.1.m1.1.27.2.13\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.2.13.1.cmml\" xref=\"p1.1.m1.1.27.2.13\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.27.2.13.2.2.cmml\" xref=\"p1.1.m1.1.27.2.13.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.2.13.2.2.1.cmml\" xref=\"p1.1.m1.1.27.2.13.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.27.2.2.cmml\" xref=\"p1.1.m1.1.27.2.2\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.27.2.3.1.cmml\" xref=\"p1.1.m1.1.27.2.3.1\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.27.2.5.1.cmml\" xref=\"p1.1.m1.1.27.2.5.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.27.2.6.cmml\" xref=\"p1.1.m1.1.27.2.6\">\u22ef<\/ci>\n <apply id=\"p1.1.m1.1.27.2.14.cmml\" xref=\"p1.1.m1.1.27.2.14\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.2.14.1.cmml\" xref=\"p1.1.m1.1.27.2.14\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.27.2.14.2.2.cmml\" xref=\"p1.1.m1.1.27.2.14.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.2.14.2.2.1.cmml\" xref=\"p1.1.m1.1.27.2.14.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.27.2.8.cmml\" xref=\"p1.1.m1.1.27.2.8\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.27.2.9.1.cmml\" xref=\"p1.1.m1.1.27.2.9.1\">\ud835\udc5d<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.27.2.11.1.cmml\" xref=\"p1.1.m1.1.27.2.11.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.27.3.cmml\" xref=\"p1.1.m1.1.27.3\">\n <times id=\"p1.1.m1.1.27.3.12.cmml\" xref=\"p1.1.m1.1.27.3.12\"\/>\n <apply id=\"p1.1.m1.1.27.3.13.cmml\" xref=\"p1.1.m1.1.27.3.13\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.3.13.1.cmml\" xref=\"p1.1.m1.1.27.3.13\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.27.3.13.2.2.cmml\" xref=\"p1.1.m1.1.27.3.13.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.3.13.2.2.1.cmml\" xref=\"p1.1.m1.1.27.3.13.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.27.3.2.cmml\" xref=\"p1.1.m1.1.27.3.2\">\ud835\udc50<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.27.3.3.1.cmml\" xref=\"p1.1.m1.1.27.3.3.1\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.27.3.5.1.cmml\" xref=\"p1.1.m1.1.27.3.5.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.27.3.6.cmml\" xref=\"p1.1.m1.1.27.3.6\">\u22ef<\/ci>\n <apply id=\"p1.1.m1.1.27.3.14.cmml\" xref=\"p1.1.m1.1.27.3.14\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.3.14.1.cmml\" xref=\"p1.1.m1.1.27.3.14\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.27.3.14.2.2.cmml\" xref=\"p1.1.m1.1.27.3.14.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.3.14.2.2.1.cmml\" xref=\"p1.1.m1.1.27.3.14.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.27.3.8.cmml\" xref=\"p1.1.m1.1.27.3.8\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.27.3.9.1.cmml\" xref=\"p1.1.m1.1.27.3.9.1\">\ud835\udc5e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.27.3.11.1.cmml\" xref=\"p1.1.m1.1.27.3.11.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.28.cmml\" xref=\"p1.1.m1.1.28\">\n <divide id=\"p1.1.m1.1.28.1.cmml\" xref=\"p1.1.m1.1.28\"\/>\n <apply id=\"p1.1.m1.1.28.2.cmml\" xref=\"p1.1.m1.1.28.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.28.2.3.cmml\" xref=\"p1.1.m1.1.28.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.28.2.1.cmml\" xref=\"p1.1.m1.1.28.2.1\">\ud835\udc67<\/ci>\n <ci id=\"p1.1.m1.1.28.2.2.1.cmml\" xref=\"p1.1.m1.1.28.2.2.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.28.3.cmml\" xref=\"p1.1.m1.1.28.3\">\n <factorial id=\"p1.1.m1.1.28.3.2.cmml\" xref=\"p1.1.m1.1.28.3.2\"\/>\n <ci id=\"p1.1.m1.1.28.3.1.cmml\" xref=\"p1.1.m1.1.28.3.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle{}_{p}F_{q}(a_{1},\\dots,a_{p};c_{1},\\dots,c_{q};z)%\n=\\sum_{n=0}^{\\infty}\\frac{(a_{1})_{n}\\cdots(a_{p})_{n}}{(c_{1})_{n}\\cdots(c_{q%\n})_{n}}\\frac{z^{n}}{n!}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "{}_pF_q(a_1,\\dots,a_p;c_1,\\dots,c_q;z)\n= \\sum_{n=0}^\\infty\n\\frac{(a_1)_n\\cdots(a_p)_n}{(c_1)_n\\cdots(c_q)_n}\n\\frac{z^n}{n!}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {}_{p}F_{q}(a_{1},\\dots ,a_{p};c_{1},\\dots ,c_{q};z)=\\sum _{n=0}^{\\infty }{\\frac {(a_{1})_{n}\\cdots (a_{p})_{n}}{(c_{1})_{n}\\cdots (c_{q})_{n}}}{\\frac {z^{n}}{n!}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>p<\/mi>\n <\/mrow>\n <\/msub>\n <msub>\n <mi>F<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>q<\/mi>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <mo>,<\/mo>\n <mo>…<!-- \u2026 --><\/mo>\n <mo>,<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>p<\/mi>\n <\/mrow>\n <\/msub>\n <mo>;<\/mo>\n <msub>\n <mi>c<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <mo>,<\/mo>\n <mo>…<!-- \u2026 --><\/mo>\n <mo>,<\/mo>\n <msub>\n <mi>c<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>q<\/mi>\n <\/mrow>\n <\/msub>\n <mo>;<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <munderover>\n <mo>∑<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">∞<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <msub>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo>⋯<!-- \u22ef --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>p<\/mi>\n <\/mrow>\n <\/msub>\n <msub>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <mrow>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>c<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <msub>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo>⋯<!-- \u22ef --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>c<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>q<\/mi>\n <\/mrow>\n <\/msub>\n <msub>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <msup>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mrow>\n <mi>n<\/mi>\n <mo>!<\/mo>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {}_{p}F_{q}(a_{1},\\dots ,a_{p};c_{1},\\dots ,c_{q};z)=\\sum _{n=0}^{\\infty }{\\frac {(a_{1})_{n}\\cdots (a_{p})_{n}}{(c_{1})_{n}\\cdots (c_{q})_{n}}}{\\frac {z^{n}}{n!}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle{}_{p}F_{q}(a_{1},\\dots,a_{p};c_{1},\\dots,c_{q};z)% =\\sum_{n=0}^{\\infty}\\frac{(a_{1})_{n}\\cdots(a_{p})_{n}}{(c_{1})_{n}\\cdots(c_{q% })_{n}}\\frac{z^{n}}{n!}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.29.cmml\">\n <mrow id=\"p1.1.m1.1.29.1\" xref=\"p1.1.m1.1.29.1.cmml\">\n <mmultiscripts id=\"p1.1.m1.1.29.1.2\" xref=\"p1.1.m1.1.29.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">F<\/mi>\n <mi id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">q<\/mi>\n <none id=\"p1.1.m1.1.29.1.2a\" xref=\"p1.1.m1.1.29.1.2.cmml\"\/>\n <mprescripts id=\"p1.1.m1.1.29.1.2b\" xref=\"p1.1.m1.1.29.1.2.cmml\"\/>\n <mi id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">p<\/mi>\n <none id=\"p1.1.m1.1.29.1.2c\" xref=\"p1.1.m1.1.29.1.2.cmml\"\/>\n <\/mmultiscripts>\n <mo id=\"p1.1.m1.1.29.1.1\" xref=\"p1.1.m1.1.29.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.29.1.3\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">(<\/mo>\n <msub id=\"p1.1.m1.1.29.1.3.2\" xref=\"p1.1.m1.1.29.1.3.2.cmml\">\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">1<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">\u2026<\/mi>\n <mo id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">,<\/mo>\n <msub id=\"p1.1.m1.1.29.1.3.3\" xref=\"p1.1.m1.1.29.1.3.3.cmml\">\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">p<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">;<\/mo>\n <msub id=\"p1.1.m1.1.29.1.3.4\" xref=\"p1.1.m1.1.29.1.3.4.cmml\">\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">c<\/mi>\n <mn id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">1<\/mn>\n <\/msub>\n <mo id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">,<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">\u2026<\/mi>\n <mo id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">,<\/mo>\n <msub id=\"p1.1.m1.1.29.1.3.5\" xref=\"p1.1.m1.1.29.1.3.5.cmml\">\n <mi id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">c<\/mi>\n <mi id=\"p1.1.m1.1.19.1\" xref=\"p1.1.m1.1.19.1.cmml\">q<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">;<\/mo>\n <mi id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">z<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.29.1.3.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.29.2\" xref=\"p1.1.m1.1.29.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.29.2.1\" xref=\"p1.1.m1.1.29.2.1.cmml\">\n <munderover id=\"p1.1.m1.1.29.2.1a\" xref=\"p1.1.m1.1.29.2.1.cmml\">\n <mo largeop=\"true\" movablelimits=\"false\" symmetric=\"true\" id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">\u2211<\/mo>\n <mrow id=\"p1.1.m1.1.25.1\" xref=\"p1.1.m1.1.25.1.cmml\">\n <mi id=\"p1.1.m1.1.25.1.1\" xref=\"p1.1.m1.1.25.1.1.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.25.1.2\" xref=\"p1.1.m1.1.25.1.2.cmml\">=<\/mo>\n <mn id=\"p1.1.m1.1.25.1.3\" xref=\"p1.1.m1.1.25.1.3.cmml\">0<\/mn>\n <\/mrow>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.26.1\" xref=\"p1.1.m1.1.26.1.cmml\">\u221e<\/mi>\n <\/munderover>\n <\/mstyle>\n <mrow id=\"p1.1.m1.1.29.2.2\" xref=\"p1.1.m1.1.29.2.2.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.27.cmml\">\n <mfrac id=\"p1.1.m1.1.27a\" xref=\"p1.1.m1.1.27.cmml\">\n <mrow id=\"p1.1.m1.1.27.2\" xref=\"p1.1.m1.1.27.2.cmml\">\n <msub id=\"p1.1.m1.1.27.2.13\" xref=\"p1.1.m1.1.27.2.13.cmml\">\n <mrow id=\"p1.1.m1.1.27.2.13.2\" xref=\"p1.1.m1.1.27.2.13.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.2.1\" xref=\"p1.1.m1.1.27.2.13.2.2.cmml\">(<\/mo>\n <msub id=\"p1.1.m1.1.27.2.13.2.2\" xref=\"p1.1.m1.1.27.2.13.2.2.cmml\">\n <mi id=\"p1.1.m1.1.27.2.2\" xref=\"p1.1.m1.1.27.2.2.cmml\">a<\/mi>\n <mn id=\"p1.1.m1.1.27.2.3.1\" xref=\"p1.1.m1.1.27.2.3.1.cmml\">1<\/mn>\n <\/msub>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.2.4\" xref=\"p1.1.m1.1.27.2.13.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mi id=\"p1.1.m1.1.27.2.5.1\" xref=\"p1.1.m1.1.27.2.5.1.cmml\">n<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.27.2.12\" xref=\"p1.1.m1.1.27.2.12.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.27.2.6\" xref=\"p1.1.m1.1.27.2.6.cmml\">\u22ef<\/mi>\n <mo id=\"p1.1.m1.1.27.2.12a\" xref=\"p1.1.m1.1.27.2.12.cmml\">\u2062<\/mo>\n <msub id=\"p1.1.m1.1.27.2.14\" xref=\"p1.1.m1.1.27.2.14.cmml\">\n <mrow id=\"p1.1.m1.1.27.2.14.2\" xref=\"p1.1.m1.1.27.2.14.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.2.7\" xref=\"p1.1.m1.1.27.2.14.2.2.cmml\">(<\/mo>\n <msub id=\"p1.1.m1.1.27.2.14.2.2\" xref=\"p1.1.m1.1.27.2.14.2.2.cmml\">\n <mi id=\"p1.1.m1.1.27.2.8\" xref=\"p1.1.m1.1.27.2.8.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.27.2.9.1\" xref=\"p1.1.m1.1.27.2.9.1.cmml\">p<\/mi>\n <\/msub>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.2.10\" xref=\"p1.1.m1.1.27.2.14.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mi id=\"p1.1.m1.1.27.2.11.1\" xref=\"p1.1.m1.1.27.2.11.1.cmml\">n<\/mi>\n <\/msub>\n <\/mrow>\n <mrow id=\"p1.1.m1.1.27.3\" xref=\"p1.1.m1.1.27.3.cmml\">\n <msub id=\"p1.1.m1.1.27.3.13\" xref=\"p1.1.m1.1.27.3.13.cmml\">\n <mrow id=\"p1.1.m1.1.27.3.13.2\" xref=\"p1.1.m1.1.27.3.13.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.3.1\" xref=\"p1.1.m1.1.27.3.13.2.2.cmml\">(<\/mo>\n <msub id=\"p1.1.m1.1.27.3.13.2.2\" xref=\"p1.1.m1.1.27.3.13.2.2.cmml\">\n <mi id=\"p1.1.m1.1.27.3.2\" xref=\"p1.1.m1.1.27.3.2.cmml\">c<\/mi>\n <mn id=\"p1.1.m1.1.27.3.3.1\" xref=\"p1.1.m1.1.27.3.3.1.cmml\">1<\/mn>\n <\/msub>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.3.4\" xref=\"p1.1.m1.1.27.3.13.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mi id=\"p1.1.m1.1.27.3.5.1\" xref=\"p1.1.m1.1.27.3.5.1.cmml\">n<\/mi>\n <\/msub>\n <mo id=\"p1.1.m1.1.27.3.12\" xref=\"p1.1.m1.1.27.3.12.cmml\">\u2062<\/mo>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.27.3.6\" xref=\"p1.1.m1.1.27.3.6.cmml\">\u22ef<\/mi>\n <mo id=\"p1.1.m1.1.27.3.12a\" xref=\"p1.1.m1.1.27.3.12.cmml\">\u2062<\/mo>\n <msub id=\"p1.1.m1.1.27.3.14\" xref=\"p1.1.m1.1.27.3.14.cmml\">\n <mrow id=\"p1.1.m1.1.27.3.14.2\" xref=\"p1.1.m1.1.27.3.14.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.3.7\" xref=\"p1.1.m1.1.27.3.14.2.2.cmml\">(<\/mo>\n <msub id=\"p1.1.m1.1.27.3.14.2.2\" xref=\"p1.1.m1.1.27.3.14.2.2.cmml\">\n <mi id=\"p1.1.m1.1.27.3.8\" xref=\"p1.1.m1.1.27.3.8.cmml\">c<\/mi>\n <mi id=\"p1.1.m1.1.27.3.9.1\" xref=\"p1.1.m1.1.27.3.9.1.cmml\">q<\/mi>\n <\/msub>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27.3.10\" xref=\"p1.1.m1.1.27.3.14.2.2.cmml\">)<\/mo>\n <\/mrow>\n <mi id=\"p1.1.m1.1.27.3.11.1\" xref=\"p1.1.m1.1.27.3.11.1.cmml\">n<\/mi>\n <\/msub>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.29.2.2.1\" xref=\"p1.1.m1.1.29.2.2.1.cmml\">\u2062<\/mo>\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.28.cmml\">\n <mfrac id=\"p1.1.m1.1.28a\" xref=\"p1.1.m1.1.28.cmml\">\n <msup id=\"p1.1.m1.1.28.2\" xref=\"p1.1.m1.1.28.2.cmml\">\n <mi id=\"p1.1.m1.1.28.2.1\" xref=\"p1.1.m1.1.28.2.1.cmml\">z<\/mi>\n <mi id=\"p1.1.m1.1.28.2.2.1\" xref=\"p1.1.m1.1.28.2.2.1.cmml\">n<\/mi>\n <\/msup>\n <mrow id=\"p1.1.m1.1.28.3\" xref=\"p1.1.m1.1.28.3.cmml\">\n <mi id=\"p1.1.m1.1.28.3.1\" xref=\"p1.1.m1.1.28.3.1.cmml\">n<\/mi>\n <mo lspace=\"0pt\" rspace=\"3.5pt\" id=\"p1.1.m1.1.28.3.2\" xref=\"p1.1.m1.1.28.3.2.cmml\">!<\/mo>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.29.cmml\" xref=\"p1.1.m1.1.29\">\n <eq id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\"\/>\n <apply id=\"p1.1.m1.1.29.1.cmml\" xref=\"p1.1.m1.1.29.1\">\n <times id=\"p1.1.m1.1.29.1.1.cmml\" xref=\"p1.1.m1.1.29.1.1\"\/>\n <apply id=\"p1.1.m1.1.29.1.2.cmml\" xref=\"p1.1.m1.1.29.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.1.2.1.cmml\" xref=\"p1.1.m1.1.29.1.2\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.29.1.2.2.cmml\" xref=\"p1.1.m1.1.29.1.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.1.2.2.1.cmml\" xref=\"p1.1.m1.1.29.1.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc39<\/ci>\n <ci id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\">\ud835\udc5e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\ud835\udc5d<\/ci>\n <\/apply>\n <vector id=\"p1.1.m1.1.29.1.3.1.cmml\" xref=\"p1.1.m1.1.29.1.3\">\n <apply id=\"p1.1.m1.1.29.1.3.2.cmml\" xref=\"p1.1.m1.1.29.1.3.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.1.3.2.1.cmml\" xref=\"p1.1.m1.1.29.1.3.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">\u2026<\/ci>\n <apply id=\"p1.1.m1.1.29.1.3.3.cmml\" xref=\"p1.1.m1.1.29.1.3.3\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.1.3.3.1.cmml\" xref=\"p1.1.m1.1.29.1.3.3\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">\ud835\udc5d<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.29.1.3.4.cmml\" xref=\"p1.1.m1.1.29.1.3.4\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.1.3.4.1.cmml\" xref=\"p1.1.m1.1.29.1.3.4\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc50<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">\u2026<\/ci>\n <apply id=\"p1.1.m1.1.29.1.3.5.cmml\" xref=\"p1.1.m1.1.29.1.3.5\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.1.3.5.1.cmml\" xref=\"p1.1.m1.1.29.1.3.5\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.19.1.cmml\" xref=\"p1.1.m1.1.19.1\">\ud835\udc5e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\ud835\udc67<\/ci>\n <\/vector>\n <\/apply>\n <apply id=\"p1.1.m1.1.29.2.cmml\" xref=\"p1.1.m1.1.29.2\">\n <apply id=\"p1.1.m1.1.29.2.1.cmml\" xref=\"p1.1.m1.1.29.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.2.1.1.cmml\" xref=\"p1.1.m1.1.29.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.29.2.1.2.cmml\" xref=\"p1.1.m1.1.29.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.29.2.1.2.1.cmml\" xref=\"p1.1.m1.1.29.2.1\">subscript<\/csymbol>\n <sum id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\"\/>\n <apply id=\"p1.1.m1.1.25.1.cmml\" xref=\"p1.1.m1.1.25.1\">\n <eq id=\"p1.1.m1.1.25.1.2.cmml\" xref=\"p1.1.m1.1.25.1.2\"\/>\n <ci id=\"p1.1.m1.1.25.1.1.cmml\" xref=\"p1.1.m1.1.25.1.1\">\ud835\udc5b<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.25.1.3.cmml\" xref=\"p1.1.m1.1.25.1.3\">0<\/cn>\n <\/apply>\n <\/apply>\n <infinity id=\"p1.1.m1.1.26.1.cmml\" xref=\"p1.1.m1.1.26.1\"\/>\n <\/apply>\n <apply id=\"p1.1.m1.1.29.2.2.cmml\" xref=\"p1.1.m1.1.29.2.2\">\n <times id=\"p1.1.m1.1.29.2.2.1.cmml\" xref=\"p1.1.m1.1.29.2.2.1\"\/>\n <apply id=\"p1.1.m1.1.27.cmml\" xref=\"p1.1.m1.1.27\">\n <divide id=\"p1.1.m1.1.27.1.cmml\" xref=\"p1.1.m1.1.27\"\/>\n <apply id=\"p1.1.m1.1.27.2.cmml\" xref=\"p1.1.m1.1.27.2\">\n <times id=\"p1.1.m1.1.27.2.12.cmml\" xref=\"p1.1.m1.1.27.2.12\"\/>\n <apply id=\"p1.1.m1.1.27.2.13.cmml\" xref=\"p1.1.m1.1.27.2.13\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.2.13.1.cmml\" xref=\"p1.1.m1.1.27.2.13\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.27.2.13.2.2.cmml\" xref=\"p1.1.m1.1.27.2.13.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.2.13.2.2.1.cmml\" xref=\"p1.1.m1.1.27.2.13.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.27.2.2.cmml\" xref=\"p1.1.m1.1.27.2.2\">\ud835\udc4e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.27.2.3.1.cmml\" xref=\"p1.1.m1.1.27.2.3.1\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.27.2.5.1.cmml\" xref=\"p1.1.m1.1.27.2.5.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.27.2.6.cmml\" xref=\"p1.1.m1.1.27.2.6\">\u22ef<\/ci>\n <apply id=\"p1.1.m1.1.27.2.14.cmml\" xref=\"p1.1.m1.1.27.2.14\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.2.14.1.cmml\" xref=\"p1.1.m1.1.27.2.14\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.27.2.14.2.2.cmml\" xref=\"p1.1.m1.1.27.2.14.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.2.14.2.2.1.cmml\" xref=\"p1.1.m1.1.27.2.14.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.27.2.8.cmml\" xref=\"p1.1.m1.1.27.2.8\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.27.2.9.1.cmml\" xref=\"p1.1.m1.1.27.2.9.1\">\ud835\udc5d<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.27.2.11.1.cmml\" xref=\"p1.1.m1.1.27.2.11.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.27.3.cmml\" xref=\"p1.1.m1.1.27.3\">\n <times id=\"p1.1.m1.1.27.3.12.cmml\" xref=\"p1.1.m1.1.27.3.12\"\/>\n <apply id=\"p1.1.m1.1.27.3.13.cmml\" xref=\"p1.1.m1.1.27.3.13\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.3.13.1.cmml\" xref=\"p1.1.m1.1.27.3.13\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.27.3.13.2.2.cmml\" xref=\"p1.1.m1.1.27.3.13.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.3.13.2.2.1.cmml\" xref=\"p1.1.m1.1.27.3.13.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.27.3.2.cmml\" xref=\"p1.1.m1.1.27.3.2\">\ud835\udc50<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.27.3.3.1.cmml\" xref=\"p1.1.m1.1.27.3.3.1\">1<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.27.3.5.1.cmml\" xref=\"p1.1.m1.1.27.3.5.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.27.3.6.cmml\" xref=\"p1.1.m1.1.27.3.6\">\u22ef<\/ci>\n <apply id=\"p1.1.m1.1.27.3.14.cmml\" xref=\"p1.1.m1.1.27.3.14\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.3.14.1.cmml\" xref=\"p1.1.m1.1.27.3.14\">subscript<\/csymbol>\n <apply id=\"p1.1.m1.1.27.3.14.2.2.cmml\" xref=\"p1.1.m1.1.27.3.14.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.27.3.14.2.2.1.cmml\" xref=\"p1.1.m1.1.27.3.14.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.27.3.8.cmml\" xref=\"p1.1.m1.1.27.3.8\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.27.3.9.1.cmml\" xref=\"p1.1.m1.1.27.3.9.1\">\ud835\udc5e<\/ci>\n <\/apply>\n <ci id=\"p1.1.m1.1.27.3.11.1.cmml\" xref=\"p1.1.m1.1.27.3.11.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.28.cmml\" xref=\"p1.1.m1.1.28\">\n <divide id=\"p1.1.m1.1.28.1.cmml\" xref=\"p1.1.m1.1.28\"\/>\n <apply id=\"p1.1.m1.1.28.2.cmml\" xref=\"p1.1.m1.1.28.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.28.2.3.cmml\" xref=\"p1.1.m1.1.28.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.28.2.1.cmml\" xref=\"p1.1.m1.1.28.2.1\">\ud835\udc67<\/ci>\n <ci id=\"p1.1.m1.1.28.2.2.1.cmml\" xref=\"p1.1.m1.1.28.2.2.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.28.3.cmml\" xref=\"p1.1.m1.1.28.3\">\n <factorial id=\"p1.1.m1.1.28.3.2.cmml\" xref=\"p1.1.m1.1.28.3.2\"\/>\n <ci id=\"p1.1.m1.1.28.3.1.cmml\" xref=\"p1.1.m1.1.28.3.1\">\ud835\udc5b<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle{}_{p}F_{q}(a_{1},\\dots,a_{p};c_{1},\\dots,c_{q};z)%\n=\\sum_{n=0}^{\\infty}\\frac{(a_{1})_{n}\\cdots(a_{p})_{n}}{(c_{1})_{n}\\cdots(c_{q%\n})_{n}}\\frac{z^{n}}{n!}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\frac{a}{b}\\ \\tfrac{a}{b}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\frac {a}{b}}\\ {\\tfrac {a}{b}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mtext> <\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\frac {a}{b}}\\ {\\tfrac {a}{b}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\frac{a}{b}\\ \\tfrac{a}{b}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mpadded width=\"+5pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mfrac id=\"p1.1.m1.1.1b\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mfrac id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.3.3\" xref=\"p1.1.m1.1.3.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <divide id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <divide id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <ci id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.3.3.cmml\" xref=\"p1.1.m1.1.3.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\frac{a}{b}\\ \\tfrac{a}{b}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\frac{a}{b}\\ \\tfrac{a}{b}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\frac {a}{b}}\\ {\\tfrac {a}{b}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mtext> <\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\frac {a}{b}}\\ {\\tfrac {a}{b}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\frac{a}{b}\\ \\tfrac{a}{b}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mpadded width=\"+5pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mfrac id=\"p1.1.m1.1.1b\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.1.3\" xref=\"p1.1.m1.1.1.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mfrac id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.3.3\" xref=\"p1.1.m1.1.3.3.cmml\">b<\/mi>\n <\/mfrac>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <divide id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.1.3.cmml\" xref=\"p1.1.m1.1.1.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <divide id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <ci id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.3.3.cmml\" xref=\"p1.1.m1.1.3.3\">\ud835\udc4f<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\frac{a}{b}\\ \\tfrac{a}{b}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "S=dD\\,\\sin\\alpha\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle S=dD\\,\\sin \\alpha \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>S<\/mi>\n <mo>=<\/mo>\n <mi>d<\/mi>\n <mi>D<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>sin<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>α<!-- \u03b1 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle S=dD\\,\\sin \\alpha \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle S=dD\\,\\sin\\alpha\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">S<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.9.1.1\" xref=\"p1.1.m1.1.9.1.1.cmml\">\u2062<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">D<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.9.1.1a\" xref=\"p1.1.m1.1.9.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.9.1.2\" xref=\"p1.1.m1.1.9.1.2.cmml\">\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">sin<\/mi>\n <mo id=\"p1.1.m1.1.9.1.2a\" xref=\"p1.1.m1.1.9.1.2.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\u03b1<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc46<\/ci>\n <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n <times id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1.1\"\/>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc37<\/ci>\n <apply id=\"p1.1.m1.1.9.1.2.cmml\" xref=\"p1.1.m1.1.9.1.2\">\n <sin id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udefc<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle S=dD\\,\\sin\\alpha\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "S=dD\\,\\sin\\alpha\\!",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle S=dD\\,\\sin \\alpha \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>S<\/mi>\n <mo>=<\/mo>\n <mi>d<\/mi>\n <mi>D<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>sin<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>α<!-- \u03b1 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle S=dD\\,\\sin \\alpha \\!}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle S=dD\\,\\sin\\alpha\\!}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">S<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.9.1\" xref=\"p1.1.m1.1.9.1.cmml\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">d<\/mi>\n <mo id=\"p1.1.m1.1.9.1.1\" xref=\"p1.1.m1.1.9.1.1.cmml\">\u2062<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">D<\/mi>\n <\/mpadded>\n <mo id=\"p1.1.m1.1.9.1.1a\" xref=\"p1.1.m1.1.9.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.9.1.2\" xref=\"p1.1.m1.1.9.1.2.cmml\">\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">sin<\/mi>\n <mo id=\"p1.1.m1.1.9.1.2a\" xref=\"p1.1.m1.1.9.1.2.cmml\">\u2061<\/mo>\n <mpadded width=\"-1.7pt\" id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">\n <mi id=\"p1.1.m1.1.7a\" xref=\"p1.1.m1.1.7.cmml\">\u03b1<\/mi>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc46<\/ci>\n <apply id=\"p1.1.m1.1.9.1.cmml\" xref=\"p1.1.m1.1.9.1\">\n <times id=\"p1.1.m1.1.9.1.1.cmml\" xref=\"p1.1.m1.1.9.1.1\"\/>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc51<\/ci>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udc37<\/ci>\n <apply id=\"p1.1.m1.1.9.1.2.cmml\" xref=\"p1.1.m1.1.9.1.2\">\n <sin id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\"\/>\n <ci id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">\ud835\udefc<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle S=dD\\,\\sin\\alpha\\!}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "V=\\frac16\\pi h\\left[3\\left(r_1^2+r_2^2\\right)+h^2\\right]",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle V={\\frac {1}{6}}\\pi h\\left[3\\left(r_{1}^{2}+r_{2}^{2}\\right)+h^{2}\\right]}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>V<\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <mn>6<\/mn>\n <\/mfrac>\n <\/mrow>\n <mi>π<!-- \u03c0 --><\/mi>\n <mi>h<\/mi>\n <mrow>\n <mo>[<\/mo>\n <mrow>\n <mn>3<\/mn>\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <msubsup>\n <mi>r<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <mo>+<\/mo>\n <msubsup>\n <mi>r<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mo>+<\/mo>\n <msup>\n <mi>h<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mo>]<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle V={\\frac {1}{6}}\\pi h\\left[3\\left(r_{1}^{2}+r_{2}^{2}\\right)+h^{2}\\right]}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle V=\\frac{1}{6}\\pi h\\left[3\\left(r_{1}^{2}+r_{2}^{2% }\\right)+h^{2}\\right]}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">V<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.21.1\" xref=\"p1.1.m1.1.21.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mfrac id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\n <mn id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">1<\/mn>\n <mn id=\"p1.1.m1.1.3.3\" xref=\"p1.1.m1.1.3.3.cmml\">6<\/mn>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.21.1.1\" xref=\"p1.1.m1.1.21.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03c0<\/mi>\n <mo id=\"p1.1.m1.1.21.1.1a\" xref=\"p1.1.m1.1.21.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.21.1.1b\" xref=\"p1.1.m1.1.21.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.21.1.2\" xref=\"p1.1.m1.1.21.1.2.1.cmml\">\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.21.1.2.1.1.cmml\">[<\/mo>\n <mrow id=\"p1.1.m1.1.21.1.2.2\" xref=\"p1.1.m1.1.21.1.2.2.cmml\">\n <mrow id=\"p1.1.m1.1.21.1.2.2.1\" xref=\"p1.1.m1.1.21.1.2.2.1.cmml\">\n <mn id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">3<\/mn>\n <mo id=\"p1.1.m1.1.21.1.2.2.1.1\" xref=\"p1.1.m1.1.21.1.2.2.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.21.1.2.2.1.2\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.cmml\">\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.21.1.2.2.1.2.2\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.cmml\">\n <msubsup id=\"p1.1.m1.1.21.1.2.2.1.2.2.1\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">r<\/mi>\n <mn id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">1<\/mn>\n <mn id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">2<\/mn>\n <\/msubsup>\n <mo id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">+<\/mo>\n <msubsup id=\"p1.1.m1.1.21.1.2.2.1.2.2.2\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">r<\/mi>\n <mn id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">2<\/mn>\n <mn id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">2<\/mn>\n <\/msubsup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">+<\/mo>\n <msup id=\"p1.1.m1.1.21.1.2.2.2\" xref=\"p1.1.m1.1.21.1.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">h<\/mi>\n <mn id=\"p1.1.m1.1.19.1\" xref=\"p1.1.m1.1.19.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.21.1.2.1.1.cmml\">]<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc49<\/ci>\n <apply id=\"p1.1.m1.1.21.1.cmml\" xref=\"p1.1.m1.1.21.1\">\n <times id=\"p1.1.m1.1.21.1.1.cmml\" xref=\"p1.1.m1.1.21.1.1\"\/>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <divide id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.3.cmml\" xref=\"p1.1.m1.1.3.3\">6<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udf0b<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u210e<\/ci>\n <apply id=\"p1.1.m1.1.21.1.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.21.1.2.1.1.cmml\" xref=\"p1.1.m1.1.6\">delimited-[]<\/csymbol>\n <apply id=\"p1.1.m1.1.21.1.2.2.cmml\" xref=\"p1.1.m1.1.21.1.2.2\">\n <plus id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\"\/>\n <apply id=\"p1.1.m1.1.21.1.2.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1\">\n <times id=\"p1.1.m1.1.21.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">3<\/cn>\n <apply id=\"p1.1.m1.1.21.1.2.2.1.2.2.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2\">\n <plus id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\"\/>\n <apply id=\"p1.1.m1.1.21.1.2.2.1.2.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.2.2.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.21.1.2.2.1.2.2.1.2.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.2.2.1.2.2.1.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5f<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">1<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.1.2.2.1.2.2.2.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.2.2.1.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.2\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.21.1.2.2.1.2.2.2.2.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.2.2.1.2.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc5f<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\">2<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.1.2.2.2.cmml\" xref=\"p1.1.m1.1.21.1.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">\u210e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.1.cmml\" xref=\"p1.1.m1.1.19.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle V=\\frac{1}{6}\\pi h\\left[3\\left(r_{1}^{2}+r_{2}^{2%\n}\\right)+h^{2}\\right]}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "V=\\frac16\\pi h\\left[3\\left(r_1^2+r_2^2\\right)+h^2\\right]",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle V={\\frac {1}{6}}\\pi h\\left[3\\left(r_{1}^{2}+r_{2}^{2}\\right)+h^{2}\\right]}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>V<\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <mn>6<\/mn>\n <\/mfrac>\n <\/mrow>\n <mi>π<!-- \u03c0 --><\/mi>\n <mi>h<\/mi>\n <mrow>\n <mo>[<\/mo>\n <mrow>\n <mn>3<\/mn>\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <msubsup>\n <mi>r<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <mo>+<\/mo>\n <msubsup>\n <mi>r<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mo>+<\/mo>\n <msup>\n <mi>h<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mo>]<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle V={\\frac {1}{6}}\\pi h\\left[3\\left(r_{1}^{2}+r_{2}^{2}\\right)+h^{2}\\right]}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle V=\\frac{1}{6}\\pi h\\left[3\\left(r_{1}^{2}+r_{2}^{2% }\\right)+h^{2}\\right]}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">V<\/mi>\n <mo id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.21.1\" xref=\"p1.1.m1.1.21.1.cmml\">\n <mstyle displaystyle=\"true\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mfrac id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\n <mn id=\"p1.1.m1.1.3.2\" xref=\"p1.1.m1.1.3.2.cmml\">1<\/mn>\n <mn id=\"p1.1.m1.1.3.3\" xref=\"p1.1.m1.1.3.3.cmml\">6<\/mn>\n <\/mfrac>\n <\/mstyle>\n <mo id=\"p1.1.m1.1.21.1.1\" xref=\"p1.1.m1.1.21.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\u03c0<\/mi>\n <mo id=\"p1.1.m1.1.21.1.1a\" xref=\"p1.1.m1.1.21.1.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.21.1.1b\" xref=\"p1.1.m1.1.21.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.21.1.2\" xref=\"p1.1.m1.1.21.1.2.1.cmml\">\n <mo id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.21.1.2.1.1.cmml\">[<\/mo>\n <mrow id=\"p1.1.m1.1.21.1.2.2\" xref=\"p1.1.m1.1.21.1.2.2.cmml\">\n <mrow id=\"p1.1.m1.1.21.1.2.2.1\" xref=\"p1.1.m1.1.21.1.2.2.1.cmml\">\n <mn id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">3<\/mn>\n <mo id=\"p1.1.m1.1.21.1.2.2.1.1\" xref=\"p1.1.m1.1.21.1.2.2.1.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.21.1.2.2.1.2\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.cmml\">\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.21.1.2.2.1.2.2\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.cmml\">\n <msubsup id=\"p1.1.m1.1.21.1.2.2.1.2.2.1\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">r<\/mi>\n <mn id=\"p1.1.m1.1.10.1\" xref=\"p1.1.m1.1.10.1.cmml\">1<\/mn>\n <mn id=\"p1.1.m1.1.11.1\" xref=\"p1.1.m1.1.11.1.cmml\">2<\/mn>\n <\/msubsup>\n <mo id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">+<\/mo>\n <msubsup id=\"p1.1.m1.1.21.1.2.2.1.2.2.2\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">r<\/mi>\n <mn id=\"p1.1.m1.1.14.1\" xref=\"p1.1.m1.1.14.1.cmml\">2<\/mn>\n <mn id=\"p1.1.m1.1.15.1\" xref=\"p1.1.m1.1.15.1.cmml\">2<\/mn>\n <\/msubsup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <mo id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">+<\/mo>\n <msup id=\"p1.1.m1.1.21.1.2.2.2\" xref=\"p1.1.m1.1.21.1.2.2.2.cmml\">\n <mi id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">h<\/mi>\n <mn id=\"p1.1.m1.1.19.1\" xref=\"p1.1.m1.1.19.1.cmml\">2<\/mn>\n <\/msup>\n <\/mrow>\n <mo id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.21.1.2.1.1.cmml\">]<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\n <eq id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\"\/>\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\ud835\udc49<\/ci>\n <apply id=\"p1.1.m1.1.21.1.cmml\" xref=\"p1.1.m1.1.21.1\">\n <times id=\"p1.1.m1.1.21.1.1.cmml\" xref=\"p1.1.m1.1.21.1.1\"\/>\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <divide id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.2.cmml\" xref=\"p1.1.m1.1.3.2\">1<\/cn>\n <cn type=\"integer\" id=\"p1.1.m1.1.3.3.cmml\" xref=\"p1.1.m1.1.3.3\">6<\/cn>\n <\/apply>\n <ci id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\ud835\udf0b<\/ci>\n <ci id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\u210e<\/ci>\n <apply id=\"p1.1.m1.1.21.1.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2\">\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.21.1.2.1.1.cmml\" xref=\"p1.1.m1.1.6\">delimited-[]<\/csymbol>\n <apply id=\"p1.1.m1.1.21.1.2.2.cmml\" xref=\"p1.1.m1.1.21.1.2.2\">\n <plus id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\"\/>\n <apply id=\"p1.1.m1.1.21.1.2.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1\">\n <times id=\"p1.1.m1.1.21.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.1\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">3<\/cn>\n <apply id=\"p1.1.m1.1.21.1.2.2.1.2.2.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2\">\n <plus id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\"\/>\n <apply id=\"p1.1.m1.1.21.1.2.2.1.2.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.2.2.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.1\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.21.1.2.2.1.2.2.1.2.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.1\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.2.2.1.2.2.1.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.1\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">\ud835\udc5f<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.10.1.cmml\" xref=\"p1.1.m1.1.10.1\">1<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.11.1.cmml\" xref=\"p1.1.m1.1.11.1\">2<\/cn>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.1.2.2.1.2.2.2.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.2.2.1.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.2\">superscript<\/csymbol>\n <apply id=\"p1.1.m1.1.21.1.2.2.1.2.2.2.2.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.2.2.1.2.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.1.2.2.2\">subscript<\/csymbol>\n <ci id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">\ud835\udc5f<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.14.1.cmml\" xref=\"p1.1.m1.1.14.1\">2<\/cn>\n <\/apply>\n <cn type=\"integer\" id=\"p1.1.m1.1.15.1.cmml\" xref=\"p1.1.m1.1.15.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.21.1.2.2.2.cmml\" xref=\"p1.1.m1.1.21.1.2.2.2\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21.1.2.2.2.1.cmml\" xref=\"p1.1.m1.1.21.1.2.2.2\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">\u210e<\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.19.1.cmml\" xref=\"p1.1.m1.1.19.1\">2<\/cn>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle V=\\frac{1}{6}\\pi h\\left[3\\left(r_{1}^{2}+r_{2}^{2%\n}\\right)+h^{2}\\right]}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\begin{align}\nu & = \\tfrac{1}{\\sqrt{2}}(x+y) \\qquad & x &= \\tfrac{1}{\\sqrt{2}}(u+v)\\\\\nv & = \\tfrac{1}{\\sqrt{2}}(x-y) \\qquad & y &= \\tfrac{1}{\\sqrt{2}}(u-v)\n\\end{align}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{aligned}u&={\\tfrac {1}{\\sqrt {2}}}(x+y)\\qquad &x&={\\tfrac {1}{\\sqrt {2}}}(u+v)\\\\v&={\\tfrac {1}{\\sqrt {2}}}(x-y)\\qquad &y&={\\tfrac {1}{\\sqrt {2}}}(u-v)\\end{aligned}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"right left right left right left right left right left right left\" rowspacing=\"3pt\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\" displaystyle=\"true\">\n <mtr>\n <mtd>\n <mi>u<\/mi>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>1<\/mn>\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"2em\" \/>\n <\/mtd>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>1<\/mn>\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mi>u<\/mi>\n <mo>+<\/mo>\n <mi>v<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>1<\/mn>\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"2em\" \/>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>1<\/mn>\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mi>u<\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>v<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{aligned}u&={\\tfrac {1}{\\sqrt {2}}}(x+y)\\qquad &x&={\\tfrac {1}{\\sqrt {2}}}(u+v)\\\\v&={\\tfrac {1}{\\sqrt {2}}}(x-y)\\qquad &y&={\\tfrac {1}{\\sqrt {2}}}(u-v)\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{aligned} \\displaystyle u&\\displaystyle=% \\tfrac{1}{\\sqrt{2}}(x+y)&\\displaystyle x&\\displaystyle=\\tfrac{1}{\\sqrt{2}}(u+v% )\\\\ \\displaystyle v&\\displaystyle=\\tfrac{1}{\\sqrt{2}}(x-y)&\\displaystyle y&% \\displaystyle=\\tfrac{1}{\\sqrt{2}}(u-v)\\end{aligned}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mtable columnspacing=\"0pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mtr id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.1b\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.1.1\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">u<\/mi>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1c\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.1.2.1\" xref=\"p1.1.m1.1.1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.2.1.8\" xref=\"p1.1.m1.1.1.1.2.1.8.cmml\"\/>\n <mo id=\"p1.1.m1.1.1.1.2.1.1\" xref=\"p1.1.m1.1.1.1.2.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.2.1.9\" xref=\"p1.1.m1.1.1.1.2.1.9.cmml\">\n <mfrac id=\"p1.1.m1.1.1.1.2.1.2\" xref=\"p1.1.m1.1.1.1.2.1.2.cmml\">\n <mn id=\"p1.1.m1.1.1.1.2.1.2.2\" xref=\"p1.1.m1.1.1.1.2.1.2.2.cmml\">1<\/mn>\n <msqrt id=\"p1.1.m1.1.1.1.2.1.2.3\" xref=\"p1.1.m1.1.1.1.2.1.2.3.cmml\">\n <mn id=\"p1.1.m1.1.1.1.2.1.2.3.1.2\" xref=\"p1.1.m1.1.1.1.2.1.2.3.1.2.cmml\">2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <mo id=\"p1.1.m1.1.1.1.2.1.9.1\" xref=\"p1.1.m1.1.1.1.2.1.9.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.2.1.9.2\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.2.1.3\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.2.1.9.2.2\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.1.1.2.1.4\" xref=\"p1.1.m1.1.1.1.2.1.4.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.1.1.2.1.5\" xref=\"p1.1.m1.1.1.1.2.1.5.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.1.1.2.1.6\" xref=\"p1.1.m1.1.1.1.2.1.6.cmml\">y<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.2.1.7\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.1d\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.3.1\" xref=\"p1.1.m1.1.1.1.3.1.cmml\">x<\/mi>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1e\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.1.4.1\" xref=\"p1.1.m1.1.1.1.4.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.4.1.8\" xref=\"p1.1.m1.1.1.1.4.1.8.cmml\"\/>\n <mo id=\"p1.1.m1.1.1.1.4.1.1\" xref=\"p1.1.m1.1.1.1.4.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.4.1.9\" xref=\"p1.1.m1.1.1.1.4.1.9.cmml\">\n <mfrac id=\"p1.1.m1.1.1.1.4.1.2\" xref=\"p1.1.m1.1.1.1.4.1.2.cmml\">\n <mn id=\"p1.1.m1.1.1.1.4.1.2.2\" xref=\"p1.1.m1.1.1.1.4.1.2.2.cmml\">1<\/mn>\n <msqrt id=\"p1.1.m1.1.1.1.4.1.2.3\" xref=\"p1.1.m1.1.1.1.4.1.2.3.cmml\">\n <mn id=\"p1.1.m1.1.1.1.4.1.2.3.1.2\" xref=\"p1.1.m1.1.1.1.4.1.2.3.1.2.cmml\">2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <mo id=\"p1.1.m1.1.1.1.4.1.9.1\" xref=\"p1.1.m1.1.1.1.4.1.9.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.4.1.9.2\" xref=\"p1.1.m1.1.1.1.4.1.9.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.4.1.3\" xref=\"p1.1.m1.1.1.1.4.1.9.2.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.4.1.9.2.2\" xref=\"p1.1.m1.1.1.1.4.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.1.1.4.1.4\" xref=\"p1.1.m1.1.1.1.4.1.4.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.1.1.4.1.5\" xref=\"p1.1.m1.1.1.1.4.1.5.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.1.1.4.1.6\" xref=\"p1.1.m1.1.1.1.4.1.6.cmml\">v<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.4.1.7\" xref=\"p1.1.m1.1.1.1.4.1.9.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1f\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.1g\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1.1\" xref=\"p1.1.m1.1.1.2.1.1.cmml\">v<\/mi>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1h\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2.2.1\" xref=\"p1.1.m1.1.1.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1.8\" xref=\"p1.1.m1.1.1.2.2.1.8.cmml\"\/>\n <mo id=\"p1.1.m1.1.1.2.2.1.1\" xref=\"p1.1.m1.1.1.2.2.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.2.1.9\" xref=\"p1.1.m1.1.1.2.2.1.9.cmml\">\n <mfrac id=\"p1.1.m1.1.1.2.2.1.2\" xref=\"p1.1.m1.1.1.2.2.1.2.cmml\">\n <mn id=\"p1.1.m1.1.1.2.2.1.2.2\" xref=\"p1.1.m1.1.1.2.2.1.2.2.cmml\">1<\/mn>\n <msqrt id=\"p1.1.m1.1.1.2.2.1.2.3\" xref=\"p1.1.m1.1.1.2.2.1.2.3.cmml\">\n <mn id=\"p1.1.m1.1.1.2.2.1.2.3.1.2\" xref=\"p1.1.m1.1.1.2.2.1.2.3.1.2.cmml\">2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <mo id=\"p1.1.m1.1.1.2.2.1.9.1\" xref=\"p1.1.m1.1.1.2.2.1.9.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.2.1.9.2\" xref=\"p1.1.m1.1.1.2.2.1.9.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.2.1.3\" xref=\"p1.1.m1.1.1.2.2.1.9.2.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.2.1.9.2.2\" xref=\"p1.1.m1.1.1.2.2.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1.4\" xref=\"p1.1.m1.1.1.2.2.1.4.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.1.2.2.1.5\" xref=\"p1.1.m1.1.1.2.2.1.5.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.1.2.2.1.6\" xref=\"p1.1.m1.1.1.2.2.1.6.cmml\">y<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.2.1.7\" xref=\"p1.1.m1.1.1.2.2.1.9.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.1i\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.3.1\" xref=\"p1.1.m1.1.1.2.3.1.cmml\">y<\/mi>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1j\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2.4.1\" xref=\"p1.1.m1.1.1.2.4.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.4.1.8\" xref=\"p1.1.m1.1.1.2.4.1.8.cmml\"\/>\n <mo id=\"p1.1.m1.1.1.2.4.1.1\" xref=\"p1.1.m1.1.1.2.4.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.4.1.9\" xref=\"p1.1.m1.1.1.2.4.1.9.cmml\">\n <mfrac id=\"p1.1.m1.1.1.2.4.1.2\" xref=\"p1.1.m1.1.1.2.4.1.2.cmml\">\n <mn id=\"p1.1.m1.1.1.2.4.1.2.2\" xref=\"p1.1.m1.1.1.2.4.1.2.2.cmml\">1<\/mn>\n <msqrt id=\"p1.1.m1.1.1.2.4.1.2.3\" xref=\"p1.1.m1.1.1.2.4.1.2.3.cmml\">\n <mn id=\"p1.1.m1.1.1.2.4.1.2.3.1.2\" xref=\"p1.1.m1.1.1.2.4.1.2.3.1.2.cmml\">2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <mo id=\"p1.1.m1.1.1.2.4.1.9.1\" xref=\"p1.1.m1.1.1.2.4.1.9.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.4.1.9.2\" xref=\"p1.1.m1.1.1.2.4.1.9.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.4.1.3\" xref=\"p1.1.m1.1.1.2.4.1.9.2.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.4.1.9.2.2\" xref=\"p1.1.m1.1.1.2.4.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.1.2.4.1.4\" xref=\"p1.1.m1.1.1.2.4.1.4.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.1.2.4.1.5\" xref=\"p1.1.m1.1.1.2.4.1.5.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.1.2.4.1.6\" xref=\"p1.1.m1.1.1.2.4.1.6.cmml\">v<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.4.1.7\" xref=\"p1.1.m1.1.1.2.4.1.9.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <matrixrow id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1.1.1\">\ud835\udc62<\/ci>\n <apply id=\"p1.1.m1.1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1\">\n <eq id=\"p1.1.m1.1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.2.1.8.cmml\" xref=\"p1.1.m1.1.1.1.2.1.8\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.1.1.2.1.9.cmml\" xref=\"p1.1.m1.1.1.1.2.1.9\">\n <times id=\"p1.1.m1.1.1.1.2.1.9.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1.9.1\"\/>\n <apply id=\"p1.1.m1.1.1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.1.1.2.1.2\">\n <divide id=\"p1.1.m1.1.1.1.2.1.2.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.1.2.1.2.2.cmml\" xref=\"p1.1.m1.1.1.1.2.1.2.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.1.1.2.1.2.3.cmml\" xref=\"p1.1.m1.1.1.1.2.1.2.3\">\n <root id=\"p1.1.m1.1.1.1.2.1.2.3a.cmml\" xref=\"p1.1.m1.1.1.1.2.1.2.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.1.2.1.2.3.1.2.cmml\" xref=\"p1.1.m1.1.1.1.2.1.2.3.1.2\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\" xref=\"p1.1.m1.1.1.1.2.1.9.2\">\n <plus id=\"p1.1.m1.1.1.1.2.1.5.cmml\" xref=\"p1.1.m1.1.1.1.2.1.5\"\/>\n <ci id=\"p1.1.m1.1.1.1.2.1.4.cmml\" xref=\"p1.1.m1.1.1.1.2.1.4\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.1.2.1.6.cmml\" xref=\"p1.1.m1.1.1.1.2.1.6\">\ud835\udc66<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.1.1.3.1.cmml\" xref=\"p1.1.m1.1.1.1.3.1\">\ud835\udc65<\/ci>\n <apply id=\"p1.1.m1.1.1.1.4.1.cmml\" xref=\"p1.1.m1.1.1.1.4.1\">\n <eq id=\"p1.1.m1.1.1.1.4.1.1.cmml\" xref=\"p1.1.m1.1.1.1.4.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.4.1.8.cmml\" xref=\"p1.1.m1.1.1.1.4.1.8\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.1.1.4.1.9.cmml\" xref=\"p1.1.m1.1.1.1.4.1.9\">\n <times id=\"p1.1.m1.1.1.1.4.1.9.1.cmml\" xref=\"p1.1.m1.1.1.1.4.1.9.1\"\/>\n <apply id=\"p1.1.m1.1.1.1.4.1.2.cmml\" xref=\"p1.1.m1.1.1.1.4.1.2\">\n <divide id=\"p1.1.m1.1.1.1.4.1.2.1.cmml\" xref=\"p1.1.m1.1.1.1.4.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.1.4.1.2.2.cmml\" xref=\"p1.1.m1.1.1.1.4.1.2.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.1.1.4.1.2.3.cmml\" xref=\"p1.1.m1.1.1.1.4.1.2.3\">\n <root id=\"p1.1.m1.1.1.1.4.1.2.3a.cmml\" xref=\"p1.1.m1.1.1.1.4.1.2.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.1.4.1.2.3.1.2.cmml\" xref=\"p1.1.m1.1.1.1.4.1.2.3.1.2\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.1.4.1.9.2.2.cmml\" xref=\"p1.1.m1.1.1.1.4.1.9.2\">\n <plus id=\"p1.1.m1.1.1.1.4.1.5.cmml\" xref=\"p1.1.m1.1.1.1.4.1.5\"\/>\n <ci id=\"p1.1.m1.1.1.1.4.1.4.cmml\" xref=\"p1.1.m1.1.1.1.4.1.4\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.1.1.4.1.6.cmml\" xref=\"p1.1.m1.1.1.1.4.1.6\">\ud835\udc63<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.1.1\">\ud835\udc63<\/ci>\n <apply id=\"p1.1.m1.1.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1\">\n <eq id=\"p1.1.m1.1.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.2.2.1.8.cmml\" xref=\"p1.1.m1.1.1.2.2.1.8\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.1.2.2.1.9.cmml\" xref=\"p1.1.m1.1.1.2.2.1.9\">\n <times id=\"p1.1.m1.1.1.2.2.1.9.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.9.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.2.1.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2\">\n <divide id=\"p1.1.m1.1.1.2.2.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.1.2.2.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2.3\">\n <root id=\"p1.1.m1.1.1.2.2.1.2.3a.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.2.3.1.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2.3.1.2\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.2.2.1.9.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.9.2\">\n <minus id=\"p1.1.m1.1.1.2.2.1.5.cmml\" xref=\"p1.1.m1.1.1.2.2.1.5\"\/>\n <ci id=\"p1.1.m1.1.1.2.2.1.4.cmml\" xref=\"p1.1.m1.1.1.2.2.1.4\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.2.2.1.6.cmml\" xref=\"p1.1.m1.1.1.2.2.1.6\">\ud835\udc66<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.1.2.3.1.cmml\" xref=\"p1.1.m1.1.1.2.3.1\">\ud835\udc66<\/ci>\n <apply id=\"p1.1.m1.1.1.2.4.1.cmml\" xref=\"p1.1.m1.1.1.2.4.1\">\n <eq id=\"p1.1.m1.1.1.2.4.1.1.cmml\" xref=\"p1.1.m1.1.1.2.4.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.2.4.1.8.cmml\" xref=\"p1.1.m1.1.1.2.4.1.8\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.1.2.4.1.9.cmml\" xref=\"p1.1.m1.1.1.2.4.1.9\">\n <times id=\"p1.1.m1.1.1.2.4.1.9.1.cmml\" xref=\"p1.1.m1.1.1.2.4.1.9.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.4.1.2.cmml\" xref=\"p1.1.m1.1.1.2.4.1.2\">\n <divide id=\"p1.1.m1.1.1.2.4.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.4.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.4.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.4.1.2.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.1.2.4.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.4.1.2.3\">\n <root id=\"p1.1.m1.1.1.2.4.1.2.3a.cmml\" xref=\"p1.1.m1.1.1.2.4.1.2.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.4.1.2.3.1.2.cmml\" xref=\"p1.1.m1.1.1.2.4.1.2.3.1.2\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.2.4.1.9.2.2.cmml\" xref=\"p1.1.m1.1.1.2.4.1.9.2\">\n <minus id=\"p1.1.m1.1.1.2.4.1.5.cmml\" xref=\"p1.1.m1.1.1.2.4.1.5\"\/>\n <ci id=\"p1.1.m1.1.1.2.4.1.4.cmml\" xref=\"p1.1.m1.1.1.2.4.1.4\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.1.2.4.1.6.cmml\" xref=\"p1.1.m1.1.1.2.4.1.6\">\ud835\udc63<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{aligned} \\displaystyle u&\\displaystyle=%\n\\tfrac{1}{\\sqrt{2}}(x+y)&\\displaystyle x&\\displaystyle=\\tfrac{1}{\\sqrt{2}}(u+v%\n)\\\\\n\\displaystyle v&\\displaystyle=\\tfrac{1}{\\sqrt{2}}(x-y)&\\displaystyle y&%\n\\displaystyle=\\tfrac{1}{\\sqrt{2}}(u-v)\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\begin{align}\nu & = \\tfrac{1}{\\sqrt{2}}(x+y) \\qquad & x &= \\tfrac{1}{\\sqrt{2}}(u+v) \\\\\nv & = \\tfrac{1}{\\sqrt{2}}(x-y) \\qquad & y &= \\tfrac{1}{\\sqrt{2}}(u-v)\n\\end{align}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{aligned}u&={\\tfrac {1}{\\sqrt {2}}}(x+y)\\qquad &x&={\\tfrac {1}{\\sqrt {2}}}(u+v)\\\\v&={\\tfrac {1}{\\sqrt {2}}}(x-y)\\qquad &y&={\\tfrac {1}{\\sqrt {2}}}(u-v)\\end{aligned}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"right left right left right left right left right left right left\" rowspacing=\"3pt\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\" displaystyle=\"true\">\n <mtr>\n <mtd>\n <mi>u<\/mi>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>1<\/mn>\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"2em\" \/>\n <\/mtd>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>1<\/mn>\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mi>u<\/mi>\n <mo>+<\/mo>\n <mi>v<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>1<\/mn>\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"2em\" \/>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>1<\/mn>\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mi>u<\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>v<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{aligned}u&={\\tfrac {1}{\\sqrt {2}}}(x+y)\\qquad &x&={\\tfrac {1}{\\sqrt {2}}}(u+v)\\\\v&={\\tfrac {1}{\\sqrt {2}}}(x-y)\\qquad &y&={\\tfrac {1}{\\sqrt {2}}}(u-v)\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\begin{aligned} \\displaystyle u&\\displaystyle=% \\tfrac{1}{\\sqrt{2}}(x+y)&\\displaystyle x&\\displaystyle=\\tfrac{1}{\\sqrt{2}}(u+v% )\\\\ \\displaystyle v&\\displaystyle=\\tfrac{1}{\\sqrt{2}}(x-y)&\\displaystyle y&% \\displaystyle=\\tfrac{1}{\\sqrt{2}}(u-v)\\end{aligned}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mtable columnspacing=\"0pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mtr id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.1b\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.1.1\" xref=\"p1.1.m1.1.1.1.1.1.cmml\">u<\/mi>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1c\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.1.2.1\" xref=\"p1.1.m1.1.1.1.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.2.1.8\" xref=\"p1.1.m1.1.1.1.2.1.8.cmml\"\/>\n <mo id=\"p1.1.m1.1.1.1.2.1.1\" xref=\"p1.1.m1.1.1.1.2.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.2.1.9\" xref=\"p1.1.m1.1.1.1.2.1.9.cmml\">\n <mfrac id=\"p1.1.m1.1.1.1.2.1.2\" xref=\"p1.1.m1.1.1.1.2.1.2.cmml\">\n <mn id=\"p1.1.m1.1.1.1.2.1.2.2\" xref=\"p1.1.m1.1.1.1.2.1.2.2.cmml\">1<\/mn>\n <msqrt id=\"p1.1.m1.1.1.1.2.1.2.3\" xref=\"p1.1.m1.1.1.1.2.1.2.3.cmml\">\n <mn id=\"p1.1.m1.1.1.1.2.1.2.3.1.2\" xref=\"p1.1.m1.1.1.1.2.1.2.3.1.2.cmml\">2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <mo id=\"p1.1.m1.1.1.1.2.1.9.1\" xref=\"p1.1.m1.1.1.1.2.1.9.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.2.1.9.2\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.2.1.3\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.2.1.9.2.2\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.1.1.2.1.4\" xref=\"p1.1.m1.1.1.1.2.1.4.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.1.1.2.1.5\" xref=\"p1.1.m1.1.1.1.2.1.5.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.1.1.2.1.6\" xref=\"p1.1.m1.1.1.1.2.1.6.cmml\">y<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.2.1.7\" xref=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.1d\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.3.1\" xref=\"p1.1.m1.1.1.1.3.1.cmml\">x<\/mi>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1e\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.1.4.1\" xref=\"p1.1.m1.1.1.1.4.1.cmml\">\n <mi id=\"p1.1.m1.1.1.1.4.1.8\" xref=\"p1.1.m1.1.1.1.4.1.8.cmml\"\/>\n <mo id=\"p1.1.m1.1.1.1.4.1.1\" xref=\"p1.1.m1.1.1.1.4.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.4.1.9\" xref=\"p1.1.m1.1.1.1.4.1.9.cmml\">\n <mfrac id=\"p1.1.m1.1.1.1.4.1.2\" xref=\"p1.1.m1.1.1.1.4.1.2.cmml\">\n <mn id=\"p1.1.m1.1.1.1.4.1.2.2\" xref=\"p1.1.m1.1.1.1.4.1.2.2.cmml\">1<\/mn>\n <msqrt id=\"p1.1.m1.1.1.1.4.1.2.3\" xref=\"p1.1.m1.1.1.1.4.1.2.3.cmml\">\n <mn id=\"p1.1.m1.1.1.1.4.1.2.3.1.2\" xref=\"p1.1.m1.1.1.1.4.1.2.3.1.2.cmml\">2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <mo id=\"p1.1.m1.1.1.1.4.1.9.1\" xref=\"p1.1.m1.1.1.1.4.1.9.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.4.1.9.2\" xref=\"p1.1.m1.1.1.1.4.1.9.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.4.1.3\" xref=\"p1.1.m1.1.1.1.4.1.9.2.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.1.1.4.1.9.2.2\" xref=\"p1.1.m1.1.1.1.4.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.1.1.4.1.4\" xref=\"p1.1.m1.1.1.1.4.1.4.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.1.1.4.1.5\" xref=\"p1.1.m1.1.1.1.4.1.5.cmml\">+<\/mo>\n <mi id=\"p1.1.m1.1.1.1.4.1.6\" xref=\"p1.1.m1.1.1.1.4.1.6.cmml\">v<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1.4.1.7\" xref=\"p1.1.m1.1.1.1.4.1.9.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.1f\" xref=\"p1.1.m1.1.1.cmml\">\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.1g\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1.1\" xref=\"p1.1.m1.1.1.2.1.1.cmml\">v<\/mi>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1h\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2.2.1\" xref=\"p1.1.m1.1.1.2.2.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1.8\" xref=\"p1.1.m1.1.1.2.2.1.8.cmml\"\/>\n <mo id=\"p1.1.m1.1.1.2.2.1.1\" xref=\"p1.1.m1.1.1.2.2.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.2.1.9\" xref=\"p1.1.m1.1.1.2.2.1.9.cmml\">\n <mfrac id=\"p1.1.m1.1.1.2.2.1.2\" xref=\"p1.1.m1.1.1.2.2.1.2.cmml\">\n <mn id=\"p1.1.m1.1.1.2.2.1.2.2\" xref=\"p1.1.m1.1.1.2.2.1.2.2.cmml\">1<\/mn>\n <msqrt id=\"p1.1.m1.1.1.2.2.1.2.3\" xref=\"p1.1.m1.1.1.2.2.1.2.3.cmml\">\n <mn id=\"p1.1.m1.1.1.2.2.1.2.3.1.2\" xref=\"p1.1.m1.1.1.2.2.1.2.3.1.2.cmml\">2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <mo id=\"p1.1.m1.1.1.2.2.1.9.1\" xref=\"p1.1.m1.1.1.2.2.1.9.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.2.1.9.2\" xref=\"p1.1.m1.1.1.2.2.1.9.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.2.1.3\" xref=\"p1.1.m1.1.1.2.2.1.9.2.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.2.1.9.2.2\" xref=\"p1.1.m1.1.1.2.2.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.1.2.2.1.4\" xref=\"p1.1.m1.1.1.2.2.1.4.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.1.2.2.1.5\" xref=\"p1.1.m1.1.1.2.2.1.5.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.1.2.2.1.6\" xref=\"p1.1.m1.1.1.2.2.1.6.cmml\">y<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.2.1.7\" xref=\"p1.1.m1.1.1.2.2.1.9.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <mtd columnalign=\"right\" id=\"p1.1.m1.1.1i\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.3.1\" xref=\"p1.1.m1.1.1.2.3.1.cmml\">y<\/mi>\n <\/mtd>\n <mtd columnalign=\"left\" id=\"p1.1.m1.1.1j\" xref=\"p1.1.m1.1.1.cmml\">\n <mrow id=\"p1.1.m1.1.1.2.4.1\" xref=\"p1.1.m1.1.1.2.4.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2.4.1.8\" xref=\"p1.1.m1.1.1.2.4.1.8.cmml\"\/>\n <mo id=\"p1.1.m1.1.1.2.4.1.1\" xref=\"p1.1.m1.1.1.2.4.1.1.cmml\">=<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.4.1.9\" xref=\"p1.1.m1.1.1.2.4.1.9.cmml\">\n <mfrac id=\"p1.1.m1.1.1.2.4.1.2\" xref=\"p1.1.m1.1.1.2.4.1.2.cmml\">\n <mn id=\"p1.1.m1.1.1.2.4.1.2.2\" xref=\"p1.1.m1.1.1.2.4.1.2.2.cmml\">1<\/mn>\n <msqrt id=\"p1.1.m1.1.1.2.4.1.2.3\" xref=\"p1.1.m1.1.1.2.4.1.2.3.cmml\">\n <mn id=\"p1.1.m1.1.1.2.4.1.2.3.1.2\" xref=\"p1.1.m1.1.1.2.4.1.2.3.1.2.cmml\">2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <mo id=\"p1.1.m1.1.1.2.4.1.9.1\" xref=\"p1.1.m1.1.1.2.4.1.9.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.4.1.9.2\" xref=\"p1.1.m1.1.1.2.4.1.9.2.2.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.4.1.3\" xref=\"p1.1.m1.1.1.2.4.1.9.2.2.cmml\">(<\/mo>\n <mrow id=\"p1.1.m1.1.1.2.4.1.9.2.2\" xref=\"p1.1.m1.1.1.2.4.1.9.2.2.cmml\">\n <mi id=\"p1.1.m1.1.1.2.4.1.4\" xref=\"p1.1.m1.1.1.2.4.1.4.cmml\">u<\/mi>\n <mo id=\"p1.1.m1.1.1.2.4.1.5\" xref=\"p1.1.m1.1.1.2.4.1.5.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.1.2.4.1.6\" xref=\"p1.1.m1.1.1.2.4.1.6.cmml\">v<\/mi>\n <\/mrow>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.4.1.7\" xref=\"p1.1.m1.1.1.2.4.1.9.2.2.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <matrixrow id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1.1.1\">\ud835\udc62<\/ci>\n <apply id=\"p1.1.m1.1.1.1.2.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1\">\n <eq id=\"p1.1.m1.1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.2.1.8.cmml\" xref=\"p1.1.m1.1.1.1.2.1.8\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.1.1.2.1.9.cmml\" xref=\"p1.1.m1.1.1.1.2.1.9\">\n <times id=\"p1.1.m1.1.1.1.2.1.9.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1.9.1\"\/>\n <apply id=\"p1.1.m1.1.1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.1.1.2.1.2\">\n <divide id=\"p1.1.m1.1.1.1.2.1.2.1.cmml\" xref=\"p1.1.m1.1.1.1.2.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.1.2.1.2.2.cmml\" xref=\"p1.1.m1.1.1.1.2.1.2.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.1.1.2.1.2.3.cmml\" xref=\"p1.1.m1.1.1.1.2.1.2.3\">\n <root id=\"p1.1.m1.1.1.1.2.1.2.3a.cmml\" xref=\"p1.1.m1.1.1.1.2.1.2.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.1.2.1.2.3.1.2.cmml\" xref=\"p1.1.m1.1.1.1.2.1.2.3.1.2\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.1.2.1.9.2.2.cmml\" xref=\"p1.1.m1.1.1.1.2.1.9.2\">\n <plus id=\"p1.1.m1.1.1.1.2.1.5.cmml\" xref=\"p1.1.m1.1.1.1.2.1.5\"\/>\n <ci id=\"p1.1.m1.1.1.1.2.1.4.cmml\" xref=\"p1.1.m1.1.1.1.2.1.4\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.1.2.1.6.cmml\" xref=\"p1.1.m1.1.1.1.2.1.6\">\ud835\udc66<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.1.1.3.1.cmml\" xref=\"p1.1.m1.1.1.1.3.1\">\ud835\udc65<\/ci>\n <apply id=\"p1.1.m1.1.1.1.4.1.cmml\" xref=\"p1.1.m1.1.1.1.4.1\">\n <eq id=\"p1.1.m1.1.1.1.4.1.1.cmml\" xref=\"p1.1.m1.1.1.1.4.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.1.4.1.8.cmml\" xref=\"p1.1.m1.1.1.1.4.1.8\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.1.1.4.1.9.cmml\" xref=\"p1.1.m1.1.1.1.4.1.9\">\n <times id=\"p1.1.m1.1.1.1.4.1.9.1.cmml\" xref=\"p1.1.m1.1.1.1.4.1.9.1\"\/>\n <apply id=\"p1.1.m1.1.1.1.4.1.2.cmml\" xref=\"p1.1.m1.1.1.1.4.1.2\">\n <divide id=\"p1.1.m1.1.1.1.4.1.2.1.cmml\" xref=\"p1.1.m1.1.1.1.4.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.1.4.1.2.2.cmml\" xref=\"p1.1.m1.1.1.1.4.1.2.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.1.1.4.1.2.3.cmml\" xref=\"p1.1.m1.1.1.1.4.1.2.3\">\n <root id=\"p1.1.m1.1.1.1.4.1.2.3a.cmml\" xref=\"p1.1.m1.1.1.1.4.1.2.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.1.4.1.2.3.1.2.cmml\" xref=\"p1.1.m1.1.1.1.4.1.2.3.1.2\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.1.4.1.9.2.2.cmml\" xref=\"p1.1.m1.1.1.1.4.1.9.2\">\n <plus id=\"p1.1.m1.1.1.1.4.1.5.cmml\" xref=\"p1.1.m1.1.1.1.4.1.5\"\/>\n <ci id=\"p1.1.m1.1.1.1.4.1.4.cmml\" xref=\"p1.1.m1.1.1.1.4.1.4\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.1.1.4.1.6.cmml\" xref=\"p1.1.m1.1.1.1.4.1.6\">\ud835\udc63<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.1.1\">\ud835\udc63<\/ci>\n <apply id=\"p1.1.m1.1.1.2.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1\">\n <eq id=\"p1.1.m1.1.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.2.2.1.8.cmml\" xref=\"p1.1.m1.1.1.2.2.1.8\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.1.2.2.1.9.cmml\" xref=\"p1.1.m1.1.1.2.2.1.9\">\n <times id=\"p1.1.m1.1.1.2.2.1.9.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.9.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.2.1.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2\">\n <divide id=\"p1.1.m1.1.1.2.2.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.1.2.2.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2.3\">\n <root id=\"p1.1.m1.1.1.2.2.1.2.3a.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.2.1.2.3.1.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.2.3.1.2\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.2.2.1.9.2.2.cmml\" xref=\"p1.1.m1.1.1.2.2.1.9.2\">\n <minus id=\"p1.1.m1.1.1.2.2.1.5.cmml\" xref=\"p1.1.m1.1.1.2.2.1.5\"\/>\n <ci id=\"p1.1.m1.1.1.2.2.1.4.cmml\" xref=\"p1.1.m1.1.1.2.2.1.4\">\ud835\udc65<\/ci>\n <ci id=\"p1.1.m1.1.1.2.2.1.6.cmml\" xref=\"p1.1.m1.1.1.2.2.1.6\">\ud835\udc66<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <ci id=\"p1.1.m1.1.1.2.3.1.cmml\" xref=\"p1.1.m1.1.1.2.3.1\">\ud835\udc66<\/ci>\n <apply id=\"p1.1.m1.1.1.2.4.1.cmml\" xref=\"p1.1.m1.1.1.2.4.1\">\n <eq id=\"p1.1.m1.1.1.2.4.1.1.cmml\" xref=\"p1.1.m1.1.1.2.4.1.1\"\/>\n <csymbol cd=\"latexml\" id=\"p1.1.m1.1.1.2.4.1.8.cmml\" xref=\"p1.1.m1.1.1.2.4.1.8\">absent<\/csymbol>\n <apply id=\"p1.1.m1.1.1.2.4.1.9.cmml\" xref=\"p1.1.m1.1.1.2.4.1.9\">\n <times id=\"p1.1.m1.1.1.2.4.1.9.1.cmml\" xref=\"p1.1.m1.1.1.2.4.1.9.1\"\/>\n <apply id=\"p1.1.m1.1.1.2.4.1.2.cmml\" xref=\"p1.1.m1.1.1.2.4.1.2\">\n <divide id=\"p1.1.m1.1.1.2.4.1.2.1.cmml\" xref=\"p1.1.m1.1.1.2.4.1.2\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.4.1.2.2.cmml\" xref=\"p1.1.m1.1.1.2.4.1.2.2\">1<\/cn>\n <apply id=\"p1.1.m1.1.1.2.4.1.2.3.cmml\" xref=\"p1.1.m1.1.1.2.4.1.2.3\">\n <root id=\"p1.1.m1.1.1.2.4.1.2.3a.cmml\" xref=\"p1.1.m1.1.1.2.4.1.2.3\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.1.2.4.1.2.3.1.2.cmml\" xref=\"p1.1.m1.1.1.2.4.1.2.3.1.2\">2<\/cn>\n <\/apply>\n <\/apply>\n <apply id=\"p1.1.m1.1.1.2.4.1.9.2.2.cmml\" xref=\"p1.1.m1.1.1.2.4.1.9.2\">\n <minus id=\"p1.1.m1.1.1.2.4.1.5.cmml\" xref=\"p1.1.m1.1.1.2.4.1.5\"\/>\n <ci id=\"p1.1.m1.1.1.2.4.1.4.cmml\" xref=\"p1.1.m1.1.1.2.4.1.4\">\ud835\udc62<\/ci>\n <ci id=\"p1.1.m1.1.1.2.4.1.6.cmml\" xref=\"p1.1.m1.1.1.2.4.1.6\">\ud835\udc63<\/ci>\n <\/apply>\n <\/apply>\n <\/apply>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\begin{aligned} \\displaystyle u&\\displaystyle=%\n\\tfrac{1}{\\sqrt{2}}(x+y)&\\displaystyle x&\\displaystyle=\\tfrac{1}{\\sqrt{2}}(u+v%\n)\\\\\n\\displaystyle v&\\displaystyle=\\tfrac{1}{\\sqrt{2}}(x-y)&\\displaystyle y&%\n\\displaystyle=\\tfrac{1}{\\sqrt{2}}(u-v)\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": " with a thumbnail- we don't render math in the parsertests by default, so math is not stripped and turns up as escaped <math> tags. [[Image:foobar.jpg|thumb|<math>2+2",
|
|
"type": "tex",
|
|
"mmlMathoid": "",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle withathumbnail-wedon^{\\prime}% trendermathintheparsertestsbydefault,somathisnotstrippedandturnsupasescaped&lt% ;math&gt;tags.[[Image:foobar.jpg|thumb|<math>2+2}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">w<\/mi>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">i<\/mi>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">h<\/mi>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">h<\/mi>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">u<\/mi>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">b<\/mi>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">n<\/mi>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">i<\/mi>\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">w<\/mi>\n <mi id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">d<\/mi>\n <mi id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">o<\/mi>\n <msup id=\"p1.1.m1.1.148\" xref=\"p1.1.m1.1.148.cmml\">\n <mi id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">n<\/mi>\n <mo id=\"p1.1.m1.1.21.1\" xref=\"p1.1.m1.1.21.1.cmml\">\u2032<\/mo>\n <\/msup>\n <mi id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">r<\/mi>\n <mi id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.25.cmml\">n<\/mi>\n <mi id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.cmml\">d<\/mi>\n <mi id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.27.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.28.cmml\">r<\/mi>\n <mi id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.29.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.30\" xref=\"p1.1.m1.1.30.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.31.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.32\" xref=\"p1.1.m1.1.32.cmml\">h<\/mi>\n <mi id=\"p1.1.m1.1.33\" xref=\"p1.1.m1.1.33.cmml\">i<\/mi>\n <mi id=\"p1.1.m1.1.34\" xref=\"p1.1.m1.1.34.cmml\">n<\/mi>\n <mi id=\"p1.1.m1.1.35\" xref=\"p1.1.m1.1.35.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.36\" xref=\"p1.1.m1.1.36.cmml\">h<\/mi>\n <mi id=\"p1.1.m1.1.37\" xref=\"p1.1.m1.1.37.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.38\" xref=\"p1.1.m1.1.38.cmml\">p<\/mi>\n <mi id=\"p1.1.m1.1.39\" xref=\"p1.1.m1.1.39.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.40\" xref=\"p1.1.m1.1.40.cmml\">r<\/mi>\n <mi id=\"p1.1.m1.1.41\" xref=\"p1.1.m1.1.41.cmml\">s<\/mi>\n <mi id=\"p1.1.m1.1.42\" xref=\"p1.1.m1.1.42.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.43\" xref=\"p1.1.m1.1.43.cmml\">r<\/mi>\n <mi id=\"p1.1.m1.1.44\" xref=\"p1.1.m1.1.44.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.45\" xref=\"p1.1.m1.1.45.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.46\" xref=\"p1.1.m1.1.46.cmml\">s<\/mi>\n <mi id=\"p1.1.m1.1.47\" xref=\"p1.1.m1.1.47.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.48\" xref=\"p1.1.m1.1.48.cmml\">s<\/mi>\n <mi id=\"p1.1.m1.1.49\" xref=\"p1.1.m1.1.49.cmml\">b<\/mi>\n <mi id=\"p1.1.m1.1.50\" xref=\"p1.1.m1.1.50.cmml\">y<\/mi>\n <mi id=\"p1.1.m1.1.51\" xref=\"p1.1.m1.1.51.cmml\">d<\/mi>\n <mi id=\"p1.1.m1.1.52\" xref=\"p1.1.m1.1.52.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.53\" xref=\"p1.1.m1.1.53.cmml\">f<\/mi>\n <mi id=\"p1.1.m1.1.54\" xref=\"p1.1.m1.1.54.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.55\" xref=\"p1.1.m1.1.55.cmml\">u<\/mi>\n <mi id=\"p1.1.m1.1.56\" xref=\"p1.1.m1.1.56.cmml\">l<\/mi>\n <mi id=\"p1.1.m1.1.57\" xref=\"p1.1.m1.1.57.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.58\" xref=\"p1.1.m1.1.58.cmml\">,<\/mo>\n <mi id=\"p1.1.m1.1.59\" xref=\"p1.1.m1.1.59.cmml\">s<\/mi>\n <mi id=\"p1.1.m1.1.60\" xref=\"p1.1.m1.1.60.cmml\">o<\/mi>\n <mi id=\"p1.1.m1.1.61\" xref=\"p1.1.m1.1.61.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.62\" xref=\"p1.1.m1.1.62.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.63\" xref=\"p1.1.m1.1.63.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.64\" xref=\"p1.1.m1.1.64.cmml\">h<\/mi>\n <mi id=\"p1.1.m1.1.65\" xref=\"p1.1.m1.1.65.cmml\">i<\/mi>\n <mi id=\"p1.1.m1.1.66\" xref=\"p1.1.m1.1.66.cmml\">s<\/mi>\n <mi id=\"p1.1.m1.1.67\" xref=\"p1.1.m1.1.67.cmml\">n<\/mi>\n <mi id=\"p1.1.m1.1.68\" xref=\"p1.1.m1.1.68.cmml\">o<\/mi>\n <mi id=\"p1.1.m1.1.69\" xref=\"p1.1.m1.1.69.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.70\" xref=\"p1.1.m1.1.70.cmml\">s<\/mi>\n <mi id=\"p1.1.m1.1.71\" xref=\"p1.1.m1.1.71.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.72\" xref=\"p1.1.m1.1.72.cmml\">r<\/mi>\n <mi id=\"p1.1.m1.1.73\" xref=\"p1.1.m1.1.73.cmml\">i<\/mi>\n <mi id=\"p1.1.m1.1.74\" xref=\"p1.1.m1.1.74.cmml\">p<\/mi>\n <mi id=\"p1.1.m1.1.75\" xref=\"p1.1.m1.1.75.cmml\">p<\/mi>\n <mi id=\"p1.1.m1.1.76\" xref=\"p1.1.m1.1.76.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.77\" xref=\"p1.1.m1.1.77.cmml\">d<\/mi>\n <mi id=\"p1.1.m1.1.78\" xref=\"p1.1.m1.1.78.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.79\" xref=\"p1.1.m1.1.79.cmml\">n<\/mi>\n <mi id=\"p1.1.m1.1.80\" xref=\"p1.1.m1.1.80.cmml\">d<\/mi>\n <mi id=\"p1.1.m1.1.81\" xref=\"p1.1.m1.1.81.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.82\" xref=\"p1.1.m1.1.82.cmml\">u<\/mi>\n <mi id=\"p1.1.m1.1.83\" xref=\"p1.1.m1.1.83.cmml\">r<\/mi>\n <mi id=\"p1.1.m1.1.84\" xref=\"p1.1.m1.1.84.cmml\">n<\/mi>\n <mi id=\"p1.1.m1.1.85\" xref=\"p1.1.m1.1.85.cmml\">s<\/mi>\n <mi id=\"p1.1.m1.1.86\" xref=\"p1.1.m1.1.86.cmml\">u<\/mi>\n <mi id=\"p1.1.m1.1.87\" xref=\"p1.1.m1.1.87.cmml\">p<\/mi>\n <mi id=\"p1.1.m1.1.88\" xref=\"p1.1.m1.1.88.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.89\" xref=\"p1.1.m1.1.89.cmml\">s<\/mi>\n <mi id=\"p1.1.m1.1.90\" xref=\"p1.1.m1.1.90.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.91\" xref=\"p1.1.m1.1.91.cmml\">s<\/mi>\n <mi id=\"p1.1.m1.1.92\" xref=\"p1.1.m1.1.92.cmml\">c<\/mi>\n <mi id=\"p1.1.m1.1.93\" xref=\"p1.1.m1.1.93.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.94\" xref=\"p1.1.m1.1.94.cmml\">p<\/mi>\n <mi id=\"p1.1.m1.1.95\" xref=\"p1.1.m1.1.95.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.96\" xref=\"p1.1.m1.1.96.cmml\">d<\/mi>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.97\" xref=\"p1.1.m1.1.97.cmml\">&<\/mi>\n <mi id=\"p1.1.m1.1.98\" xref=\"p1.1.m1.1.98.cmml\">l<\/mi>\n <mi id=\"p1.1.m1.1.99\" xref=\"p1.1.m1.1.99.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.100\" xref=\"p1.1.m1.1.100.cmml\">;<\/mo>\n <mi id=\"p1.1.m1.1.101\" xref=\"p1.1.m1.1.101.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.102\" xref=\"p1.1.m1.1.102.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.103\" xref=\"p1.1.m1.1.103.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.104\" xref=\"p1.1.m1.1.104.cmml\">h<\/mi>\n <mi mathvariant=\"normal\" id=\"p1.1.m1.1.105\" xref=\"p1.1.m1.1.105.cmml\">&<\/mi>\n <mi id=\"p1.1.m1.1.106\" xref=\"p1.1.m1.1.106.cmml\">g<\/mi>\n <mi id=\"p1.1.m1.1.107\" xref=\"p1.1.m1.1.107.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.108\" xref=\"p1.1.m1.1.108.cmml\">;<\/mo>\n <mi id=\"p1.1.m1.1.109\" xref=\"p1.1.m1.1.109.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.110\" xref=\"p1.1.m1.1.110.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.111\" xref=\"p1.1.m1.1.111.cmml\">g<\/mi>\n <mi id=\"p1.1.m1.1.112\" xref=\"p1.1.m1.1.112.cmml\">s<\/mi>\n <mo id=\"p1.1.m1.1.113\" xref=\"p1.1.m1.1.113.cmml\">.<\/mo>\n <mrow id=\"p1.1.m1.1.149\" xref=\"p1.1.m1.1.149.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.114\" xref=\"p1.1.m1.1.114.cmml\">[<\/mo>\n <mrow id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.115\" xref=\"p1.1.m1.1.115.cmml\">[<\/mo>\n <mi id=\"p1.1.m1.1.116\" xref=\"p1.1.m1.1.116.cmml\">I<\/mi>\n <mi id=\"p1.1.m1.1.117\" xref=\"p1.1.m1.1.117.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.118\" xref=\"p1.1.m1.1.118.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.119\" xref=\"p1.1.m1.1.119.cmml\">g<\/mi>\n <mi id=\"p1.1.m1.1.120\" xref=\"p1.1.m1.1.120.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.121\" xref=\"p1.1.m1.1.121.cmml\">:<\/mo>\n <mi id=\"p1.1.m1.1.122\" xref=\"p1.1.m1.1.122.cmml\">f<\/mi>\n <mi id=\"p1.1.m1.1.123\" xref=\"p1.1.m1.1.123.cmml\">o<\/mi>\n <mi id=\"p1.1.m1.1.124\" xref=\"p1.1.m1.1.124.cmml\">o<\/mi>\n <mi id=\"p1.1.m1.1.125\" xref=\"p1.1.m1.1.125.cmml\">b<\/mi>\n <mi id=\"p1.1.m1.1.126\" xref=\"p1.1.m1.1.126.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.127\" xref=\"p1.1.m1.1.127.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.128\" xref=\"p1.1.m1.1.128.cmml\">.<\/mo>\n <mi id=\"p1.1.m1.1.129\" xref=\"p1.1.m1.1.129.cmml\">j<\/mi>\n <mi id=\"p1.1.m1.1.130\" xref=\"p1.1.m1.1.130.cmml\">p<\/mi>\n <mi id=\"p1.1.m1.1.131\" xref=\"p1.1.m1.1.131.cmml\">g<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.132\" xref=\"p1.1.m1.1.132.cmml\">|<\/mo>\n <mi id=\"p1.1.m1.1.133\" xref=\"p1.1.m1.1.133.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.134\" xref=\"p1.1.m1.1.134.cmml\">h<\/mi>\n <mi id=\"p1.1.m1.1.135\" xref=\"p1.1.m1.1.135.cmml\">u<\/mi>\n <mi id=\"p1.1.m1.1.136\" xref=\"p1.1.m1.1.136.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.137\" xref=\"p1.1.m1.1.137.cmml\">b<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.138\" xref=\"p1.1.m1.1.138.cmml\">|<\/mo>\n <mo id=\"p1.1.m1.1.139\" xref=\"p1.1.m1.1.139.cmml\"><<\/mo>\n <mi id=\"p1.1.m1.1.140\" xref=\"p1.1.m1.1.140.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.141\" xref=\"p1.1.m1.1.141.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.142\" xref=\"p1.1.m1.1.142.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.143\" xref=\"p1.1.m1.1.143.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.144\" xref=\"p1.1.m1.1.144.cmml\">><\/mo>\n <mn id=\"p1.1.m1.1.145\" xref=\"p1.1.m1.1.145.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.146\" xref=\"p1.1.m1.1.146.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.147\" xref=\"p1.1.m1.1.147.cmml\">2<\/mn>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">w<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">i<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">h<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">h<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">u<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">b<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">n<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">i<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">l<\/csymbol>\n <minus id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\"\/>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">w<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">d<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">o<\/csymbol>\n <apply id=\"p1.1.m1.1.148.cmml\" xref=\"p1.1.m1.1.148\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.148.1.cmml\" xref=\"p1.1.m1.1.148\">superscript<\/csymbol>\n <ci id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">\ud835\udc5b<\/ci>\n <ci id=\"p1.1.m1.1.21.1.cmml\" xref=\"p1.1.m1.1.21.1\">\u2032<\/ci>\n <\/apply>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">r<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.25.cmml\" xref=\"p1.1.m1.1.25\">n<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.26.cmml\" xref=\"p1.1.m1.1.26\">d<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.27.cmml\" xref=\"p1.1.m1.1.27\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.28.cmml\" xref=\"p1.1.m1.1.28\">r<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.29.cmml\" xref=\"p1.1.m1.1.29\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.30.cmml\" xref=\"p1.1.m1.1.30\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.31.cmml\" xref=\"p1.1.m1.1.31\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.32.cmml\" xref=\"p1.1.m1.1.32\">h<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.33.cmml\" xref=\"p1.1.m1.1.33\">i<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.34.cmml\" xref=\"p1.1.m1.1.34\">n<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.35.cmml\" xref=\"p1.1.m1.1.35\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.36.cmml\" xref=\"p1.1.m1.1.36\">h<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.37.cmml\" xref=\"p1.1.m1.1.37\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.38.cmml\" xref=\"p1.1.m1.1.38\">p<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.39.cmml\" xref=\"p1.1.m1.1.39\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.40.cmml\" xref=\"p1.1.m1.1.40\">r<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.41.cmml\" xref=\"p1.1.m1.1.41\">s<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.42.cmml\" xref=\"p1.1.m1.1.42\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.43.cmml\" xref=\"p1.1.m1.1.43\">r<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.44.cmml\" xref=\"p1.1.m1.1.44\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.45.cmml\" xref=\"p1.1.m1.1.45\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.46.cmml\" xref=\"p1.1.m1.1.46\">s<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.47.cmml\" xref=\"p1.1.m1.1.47\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.48.cmml\" xref=\"p1.1.m1.1.48\">s<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.49.cmml\" xref=\"p1.1.m1.1.49\">b<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.50.cmml\" xref=\"p1.1.m1.1.50\">y<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.51.cmml\" xref=\"p1.1.m1.1.51\">d<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.52.cmml\" xref=\"p1.1.m1.1.52\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.53.cmml\" xref=\"p1.1.m1.1.53\">f<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.54.cmml\" xref=\"p1.1.m1.1.54\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.55.cmml\" xref=\"p1.1.m1.1.55\">u<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.56.cmml\" xref=\"p1.1.m1.1.56\">l<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.57.cmml\" xref=\"p1.1.m1.1.57\">t<\/csymbol>\n <ci id=\"p1.1.m1.1.58.cmml\" xref=\"p1.1.m1.1.58\">,<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.59.cmml\" xref=\"p1.1.m1.1.59\">s<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.60.cmml\" xref=\"p1.1.m1.1.60\">o<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.61.cmml\" xref=\"p1.1.m1.1.61\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.62.cmml\" xref=\"p1.1.m1.1.62\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.63.cmml\" xref=\"p1.1.m1.1.63\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.64.cmml\" xref=\"p1.1.m1.1.64\">h<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.65.cmml\" xref=\"p1.1.m1.1.65\">i<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.66.cmml\" xref=\"p1.1.m1.1.66\">s<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.67.cmml\" xref=\"p1.1.m1.1.67\">n<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.68.cmml\" xref=\"p1.1.m1.1.68\">o<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.69.cmml\" xref=\"p1.1.m1.1.69\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.70.cmml\" xref=\"p1.1.m1.1.70\">s<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.71.cmml\" xref=\"p1.1.m1.1.71\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.72.cmml\" xref=\"p1.1.m1.1.72\">r<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.73.cmml\" xref=\"p1.1.m1.1.73\">i<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.74.cmml\" xref=\"p1.1.m1.1.74\">p<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.75.cmml\" xref=\"p1.1.m1.1.75\">p<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.76.cmml\" xref=\"p1.1.m1.1.76\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.77.cmml\" xref=\"p1.1.m1.1.77\">d<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.78.cmml\" xref=\"p1.1.m1.1.78\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.79.cmml\" xref=\"p1.1.m1.1.79\">n<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.80.cmml\" xref=\"p1.1.m1.1.80\">d<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.81.cmml\" xref=\"p1.1.m1.1.81\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.82.cmml\" xref=\"p1.1.m1.1.82\">u<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.83.cmml\" xref=\"p1.1.m1.1.83\">r<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.84.cmml\" xref=\"p1.1.m1.1.84\">n<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.85.cmml\" xref=\"p1.1.m1.1.85\">s<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.86.cmml\" xref=\"p1.1.m1.1.86\">u<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.87.cmml\" xref=\"p1.1.m1.1.87\">p<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.88.cmml\" xref=\"p1.1.m1.1.88\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.89.cmml\" xref=\"p1.1.m1.1.89\">s<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.90.cmml\" xref=\"p1.1.m1.1.90\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.91.cmml\" xref=\"p1.1.m1.1.91\">s<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.92.cmml\" xref=\"p1.1.m1.1.92\">c<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.93.cmml\" xref=\"p1.1.m1.1.93\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.94.cmml\" xref=\"p1.1.m1.1.94\">p<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.95.cmml\" xref=\"p1.1.m1.1.95\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.96.cmml\" xref=\"p1.1.m1.1.96\">d<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.97.cmml\" xref=\"p1.1.m1.1.97\">&<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.98.cmml\" xref=\"p1.1.m1.1.98\">l<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.99.cmml\" xref=\"p1.1.m1.1.99\">t<\/csymbol>\n <ci id=\"p1.1.m1.1.100.cmml\" xref=\"p1.1.m1.1.100\">;<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.101.cmml\" xref=\"p1.1.m1.1.101\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.102.cmml\" xref=\"p1.1.m1.1.102\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.103.cmml\" xref=\"p1.1.m1.1.103\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.104.cmml\" xref=\"p1.1.m1.1.104\">h<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.105.cmml\" xref=\"p1.1.m1.1.105\">&<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.106.cmml\" xref=\"p1.1.m1.1.106\">g<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.107.cmml\" xref=\"p1.1.m1.1.107\">t<\/csymbol>\n <ci id=\"p1.1.m1.1.108.cmml\" xref=\"p1.1.m1.1.108\">;<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.109.cmml\" xref=\"p1.1.m1.1.109\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.110.cmml\" xref=\"p1.1.m1.1.110\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.111.cmml\" xref=\"p1.1.m1.1.111\">g<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.112.cmml\" xref=\"p1.1.m1.1.112\">s<\/csymbol>\n <ci id=\"p1.1.m1.1.113.cmml\" xref=\"p1.1.m1.1.113\">.<\/ci>\n <cerror id=\"p1.1.m1.1.149.cmml\" xref=\"p1.1.m1.1.149\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.149a.cmml\" xref=\"p1.1.m1.1.149\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.114.cmml\" xref=\"p1.1.m1.1.114\">[<\/ci>\n <cerror id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.21a.cmml\" xref=\"p1.1.m1.1.21\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.115.cmml\" xref=\"p1.1.m1.1.115\">[<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.116.cmml\" xref=\"p1.1.m1.1.116\">I<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.117.cmml\" xref=\"p1.1.m1.1.117\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.118.cmml\" xref=\"p1.1.m1.1.118\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.119.cmml\" xref=\"p1.1.m1.1.119\">g<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.120.cmml\" xref=\"p1.1.m1.1.120\">e<\/csymbol>\n <ci id=\"p1.1.m1.1.121.cmml\" xref=\"p1.1.m1.1.121\">:<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.122.cmml\" xref=\"p1.1.m1.1.122\">f<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.123.cmml\" xref=\"p1.1.m1.1.123\">o<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.124.cmml\" xref=\"p1.1.m1.1.124\">o<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.125.cmml\" xref=\"p1.1.m1.1.125\">b<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.126.cmml\" xref=\"p1.1.m1.1.126\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.127.cmml\" xref=\"p1.1.m1.1.127\">r<\/csymbol>\n <ci id=\"p1.1.m1.1.128.cmml\" xref=\"p1.1.m1.1.128\">.<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.129.cmml\" xref=\"p1.1.m1.1.129\">j<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.130.cmml\" xref=\"p1.1.m1.1.130\">p<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.131.cmml\" xref=\"p1.1.m1.1.131\">g<\/csymbol>\n <ci id=\"p1.1.m1.1.132.cmml\" xref=\"p1.1.m1.1.132\">|<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.133.cmml\" xref=\"p1.1.m1.1.133\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.134.cmml\" xref=\"p1.1.m1.1.134\">h<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.135.cmml\" xref=\"p1.1.m1.1.135\">u<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.136.cmml\" xref=\"p1.1.m1.1.136\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.137.cmml\" xref=\"p1.1.m1.1.137\">b<\/csymbol>\n <ci id=\"p1.1.m1.1.138.cmml\" xref=\"p1.1.m1.1.138\">|<\/ci>\n <lt id=\"p1.1.m1.1.139.cmml\" xref=\"p1.1.m1.1.139\"\/>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.140.cmml\" xref=\"p1.1.m1.1.140\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.141.cmml\" xref=\"p1.1.m1.1.141\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.142.cmml\" xref=\"p1.1.m1.1.142\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.143.cmml\" xref=\"p1.1.m1.1.143\">h<\/csymbol>\n <gt id=\"p1.1.m1.1.144.cmml\" xref=\"p1.1.m1.1.144\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.145.cmml\" xref=\"p1.1.m1.1.145\">2<\/cn>\n <plus id=\"p1.1.m1.1.146.cmml\" xref=\"p1.1.m1.1.146\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.147.cmml\" xref=\"p1.1.m1.1.147\">2<\/cn>\n <\/cerror>\n <\/cerror>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle withathumbnail-wedon^{\\prime}%\ntrendermathintheparsertestsbydefault,somathisnotstrippedandturnsupasescaped&lt%\n;math&gt;tags.[[Image:foobar.jpg|thumb|<math>2+2}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": " with a thumbnail- math enabled [[Image:foobar.jpg|thumb|<math>2+2",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle withathumbnail-mathenabled[[Image:foobar.jpg|thumb|<math>2+2}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>w<\/mi>\n <mi>i<\/mi>\n <mi>t<\/mi>\n <mi>h<\/mi>\n <mi>a<\/mi>\n <mi>t<\/mi>\n <mi>h<\/mi>\n <mi>u<\/mi>\n <mi>m<\/mi>\n <mi>b<\/mi>\n <mi>n<\/mi>\n <mi>a<\/mi>\n <mi>i<\/mi>\n <mi>l<\/mi>\n <mo>−<!-- \u2212 --><\/mo>\n <mi>m<\/mi>\n <mi>a<\/mi>\n <mi>t<\/mi>\n <mi>h<\/mi>\n <mi>e<\/mi>\n <mi>n<\/mi>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <mi>l<\/mi>\n <mi>e<\/mi>\n <mi>d<\/mi>\n <mo stretchy=\"false\">[<\/mo>\n <mo stretchy=\"false\">[<\/mo>\n <mi>I<\/mi>\n <mi>m<\/mi>\n <mi>a<\/mi>\n <mi>g<\/mi>\n <mi>e<\/mi>\n <mo>:<\/mo>\n <mi>f<\/mi>\n <mi>o<\/mi>\n <mi>o<\/mi>\n <mi>b<\/mi>\n <mi>a<\/mi>\n <mi>r<\/mi>\n <mo>.<\/mo>\n <mi>j<\/mi>\n <mi>p<\/mi>\n <mi>g<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mi>t<\/mi>\n <mi>h<\/mi>\n <mi>u<\/mi>\n <mi>m<\/mi>\n <mi>b<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo><<\/mo>\n <mi>m<\/mi>\n <mi>a<\/mi>\n <mi>t<\/mi>\n <mi>h<\/mi>\n <mo>><\/mo>\n <mn>2<\/mn>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle withathumbnail-mathenabled[[Image:foobar.jpg|thumb|<math>2+2}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle withathumbnail-mathenabled[[Image:foobar.jpg|% thumb|<math>2+2}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">w<\/mi>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">i<\/mi>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">h<\/mi>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">h<\/mi>\n <mi id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">u<\/mi>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">b<\/mi>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">n<\/mi>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">i<\/mi>\n <mi id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">l<\/mi>\n <mo id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">-<\/mo>\n <mi id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">h<\/mi>\n <mi id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">n<\/mi>\n <mi id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">b<\/mi>\n <mi id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">l<\/mi>\n <mi id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.25.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.cmml\">d<\/mi>\n <mrow id=\"p1.1.m1.1.62\" xref=\"p1.1.m1.1.62.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.27.cmml\">[<\/mo>\n <mrow id=\"p1.1.m1.1.61\" xref=\"p1.1.m1.1.61.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.28.cmml\">[<\/mo>\n <mi id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.29.cmml\">I<\/mi>\n <mi id=\"p1.1.m1.1.30\" xref=\"p1.1.m1.1.30.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.31.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.32\" xref=\"p1.1.m1.1.32.cmml\">g<\/mi>\n <mi id=\"p1.1.m1.1.33\" xref=\"p1.1.m1.1.33.cmml\">e<\/mi>\n <mo id=\"p1.1.m1.1.34\" xref=\"p1.1.m1.1.34.cmml\">:<\/mo>\n <mi id=\"p1.1.m1.1.35\" xref=\"p1.1.m1.1.35.cmml\">f<\/mi>\n <mi id=\"p1.1.m1.1.36\" xref=\"p1.1.m1.1.36.cmml\">o<\/mi>\n <mi id=\"p1.1.m1.1.37\" xref=\"p1.1.m1.1.37.cmml\">o<\/mi>\n <mi id=\"p1.1.m1.1.38\" xref=\"p1.1.m1.1.38.cmml\">b<\/mi>\n <mi id=\"p1.1.m1.1.39\" xref=\"p1.1.m1.1.39.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.40\" xref=\"p1.1.m1.1.40.cmml\">r<\/mi>\n <mo id=\"p1.1.m1.1.41\" xref=\"p1.1.m1.1.41.cmml\">.<\/mo>\n <mi id=\"p1.1.m1.1.42\" xref=\"p1.1.m1.1.42.cmml\">j<\/mi>\n <mi id=\"p1.1.m1.1.43\" xref=\"p1.1.m1.1.43.cmml\">p<\/mi>\n <mi id=\"p1.1.m1.1.44\" xref=\"p1.1.m1.1.44.cmml\">g<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.45\" xref=\"p1.1.m1.1.45.cmml\">|<\/mo>\n <mi id=\"p1.1.m1.1.46\" xref=\"p1.1.m1.1.46.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.47\" xref=\"p1.1.m1.1.47.cmml\">h<\/mi>\n <mi id=\"p1.1.m1.1.48\" xref=\"p1.1.m1.1.48.cmml\">u<\/mi>\n <mi id=\"p1.1.m1.1.49\" xref=\"p1.1.m1.1.49.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.50\" xref=\"p1.1.m1.1.50.cmml\">b<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.51\" xref=\"p1.1.m1.1.51.cmml\">|<\/mo>\n <mo id=\"p1.1.m1.1.52\" xref=\"p1.1.m1.1.52.cmml\"><<\/mo>\n <mi id=\"p1.1.m1.1.53\" xref=\"p1.1.m1.1.53.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.54\" xref=\"p1.1.m1.1.54.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.55\" xref=\"p1.1.m1.1.55.cmml\">t<\/mi>\n <mi id=\"p1.1.m1.1.56\" xref=\"p1.1.m1.1.56.cmml\">h<\/mi>\n <mo id=\"p1.1.m1.1.57\" xref=\"p1.1.m1.1.57.cmml\">><\/mo>\n <mn id=\"p1.1.m1.1.58\" xref=\"p1.1.m1.1.58.cmml\">2<\/mn>\n <mo id=\"p1.1.m1.1.59\" xref=\"p1.1.m1.1.59.cmml\">+<\/mo>\n <mn id=\"p1.1.m1.1.60\" xref=\"p1.1.m1.1.60.cmml\">2<\/mn>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">w<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">i<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">h<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">h<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\">u<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">b<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">n<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">i<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">l<\/csymbol>\n <minus id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\"\/>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">h<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">n<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">b<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\">l<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.25.cmml\" xref=\"p1.1.m1.1.25\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.26.cmml\" xref=\"p1.1.m1.1.26\">d<\/csymbol>\n <cerror id=\"p1.1.m1.1.62.cmml\" xref=\"p1.1.m1.1.62\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.62a.cmml\" xref=\"p1.1.m1.1.62\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.27.cmml\" xref=\"p1.1.m1.1.27\">[<\/ci>\n <cerror id=\"p1.1.m1.1.61.cmml\" xref=\"p1.1.m1.1.61\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.61a.cmml\" xref=\"p1.1.m1.1.61\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.28.cmml\" xref=\"p1.1.m1.1.28\">[<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.29.cmml\" xref=\"p1.1.m1.1.29\">I<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.30.cmml\" xref=\"p1.1.m1.1.30\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.31.cmml\" xref=\"p1.1.m1.1.31\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.32.cmml\" xref=\"p1.1.m1.1.32\">g<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.33.cmml\" xref=\"p1.1.m1.1.33\">e<\/csymbol>\n <ci id=\"p1.1.m1.1.34.cmml\" xref=\"p1.1.m1.1.34\">:<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.35.cmml\" xref=\"p1.1.m1.1.35\">f<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.36.cmml\" xref=\"p1.1.m1.1.36\">o<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.37.cmml\" xref=\"p1.1.m1.1.37\">o<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.38.cmml\" xref=\"p1.1.m1.1.38\">b<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.39.cmml\" xref=\"p1.1.m1.1.39\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.40.cmml\" xref=\"p1.1.m1.1.40\">r<\/csymbol>\n <ci id=\"p1.1.m1.1.41.cmml\" xref=\"p1.1.m1.1.41\">.<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.42.cmml\" xref=\"p1.1.m1.1.42\">j<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.43.cmml\" xref=\"p1.1.m1.1.43\">p<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.44.cmml\" xref=\"p1.1.m1.1.44\">g<\/csymbol>\n <ci id=\"p1.1.m1.1.45.cmml\" xref=\"p1.1.m1.1.45\">|<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.46.cmml\" xref=\"p1.1.m1.1.46\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.47.cmml\" xref=\"p1.1.m1.1.47\">h<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.48.cmml\" xref=\"p1.1.m1.1.48\">u<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.49.cmml\" xref=\"p1.1.m1.1.49\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.50.cmml\" xref=\"p1.1.m1.1.50\">b<\/csymbol>\n <ci id=\"p1.1.m1.1.51.cmml\" xref=\"p1.1.m1.1.51\">|<\/ci>\n <lt id=\"p1.1.m1.1.52.cmml\" xref=\"p1.1.m1.1.52\"\/>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.53.cmml\" xref=\"p1.1.m1.1.53\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.54.cmml\" xref=\"p1.1.m1.1.54\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.55.cmml\" xref=\"p1.1.m1.1.55\">t<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.56.cmml\" xref=\"p1.1.m1.1.56\">h<\/csymbol>\n <gt id=\"p1.1.m1.1.57.cmml\" xref=\"p1.1.m1.1.57\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.58.cmml\" xref=\"p1.1.m1.1.58\">2<\/cn>\n <plus id=\"p1.1.m1.1.59.cmml\" xref=\"p1.1.m1.1.59\"\/>\n <cn type=\"integer\" id=\"p1.1.m1.1.60.cmml\" xref=\"p1.1.m1.1.60\">2<\/cn>\n <\/cerror>\n <\/cerror>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle withathumbnail-mathenabled[[Image:foobar.jpg|%\nthumb|<math>2+2}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "<script>alert(document.cookies);<\/script>",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle <script>alert(document.cookies);<\/script>}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo><<\/mo>\n <mi>s<\/mi>\n <mi>c<\/mi>\n <mi>r<\/mi>\n <mi>i<\/mi>\n <mi>p<\/mi>\n <mi>t<\/mi>\n <mo>><\/mo>\n <mi>a<\/mi>\n <mi>l<\/mi>\n <mi>e<\/mi>\n <mi>r<\/mi>\n <mi>t<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>d<\/mi>\n <mi>o<\/mi>\n <mi>c<\/mi>\n <mi>u<\/mi>\n <mi>m<\/mi>\n <mi>e<\/mi>\n <mi>n<\/mi>\n <mi>t<\/mi>\n <mo>.<\/mo>\n <mi>c<\/mi>\n <mi>o<\/mi>\n <mi>o<\/mi>\n <mi>k<\/mi>\n <mi>i<\/mi>\n <mi>e<\/mi>\n <mi>s<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>;<\/mo>\n <mo><<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mi>s<\/mi>\n <mi>c<\/mi>\n <mi>r<\/mi>\n <mi>i<\/mi>\n <mi>p<\/mi>\n <mi>t<\/mi>\n <mo>><\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle <script>alert(document.cookies);<\/script>}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle<script>alert(document.cookies);<\/script>}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1b\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\"><<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">s<\/mi>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">c<\/mi>\n <mi id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">r<\/mi>\n <mi id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">i<\/mi>\n <mi id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">p<\/mi>\n <mi id=\"p1.1.m1.1.7\" xref=\"p1.1.m1.1.7.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.8\" xref=\"p1.1.m1.1.8.cmml\">><\/mo>\n <mi id=\"p1.1.m1.1.9\" xref=\"p1.1.m1.1.9.cmml\">a<\/mi>\n <mi id=\"p1.1.m1.1.10\" xref=\"p1.1.m1.1.10.cmml\">l<\/mi>\n <mi id=\"p1.1.m1.1.11\" xref=\"p1.1.m1.1.11.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.12\" xref=\"p1.1.m1.1.12.cmml\">r<\/mi>\n <mi id=\"p1.1.m1.1.13\" xref=\"p1.1.m1.1.13.cmml\">t<\/mi>\n <mrow id=\"p1.1.m1.1.42\" xref=\"p1.1.m1.1.42.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.14\" xref=\"p1.1.m1.1.14.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.15\" xref=\"p1.1.m1.1.15.cmml\">d<\/mi>\n <mi id=\"p1.1.m1.1.16\" xref=\"p1.1.m1.1.16.cmml\">o<\/mi>\n <mi id=\"p1.1.m1.1.17\" xref=\"p1.1.m1.1.17.cmml\">c<\/mi>\n <mi id=\"p1.1.m1.1.18\" xref=\"p1.1.m1.1.18.cmml\">u<\/mi>\n <mi id=\"p1.1.m1.1.19\" xref=\"p1.1.m1.1.19.cmml\">m<\/mi>\n <mi id=\"p1.1.m1.1.20\" xref=\"p1.1.m1.1.20.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.21\" xref=\"p1.1.m1.1.21.cmml\">n<\/mi>\n <mi id=\"p1.1.m1.1.22\" xref=\"p1.1.m1.1.22.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.23\" xref=\"p1.1.m1.1.23.cmml\">.<\/mo>\n <mi id=\"p1.1.m1.1.24\" xref=\"p1.1.m1.1.24.cmml\">c<\/mi>\n <mi id=\"p1.1.m1.1.25\" xref=\"p1.1.m1.1.25.cmml\">o<\/mi>\n <mi id=\"p1.1.m1.1.26\" xref=\"p1.1.m1.1.26.cmml\">o<\/mi>\n <mi id=\"p1.1.m1.1.27\" xref=\"p1.1.m1.1.27.cmml\">k<\/mi>\n <mi id=\"p1.1.m1.1.28\" xref=\"p1.1.m1.1.28.cmml\">i<\/mi>\n <mi id=\"p1.1.m1.1.29\" xref=\"p1.1.m1.1.29.cmml\">e<\/mi>\n <mi id=\"p1.1.m1.1.30\" xref=\"p1.1.m1.1.30.cmml\">s<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.31\" xref=\"p1.1.m1.1.31.cmml\">)<\/mo>\n <\/mrow>\n <mo id=\"p1.1.m1.1.32\" xref=\"p1.1.m1.1.32.cmml\">;<\/mo>\n <mo id=\"p1.1.m1.1.33\" xref=\"p1.1.m1.1.33.cmml\"><<\/mo>\n <mo id=\"p1.1.m1.1.34\" xref=\"p1.1.m1.1.34.cmml\">\/<\/mo>\n <mi id=\"p1.1.m1.1.35\" xref=\"p1.1.m1.1.35.cmml\">s<\/mi>\n <mi id=\"p1.1.m1.1.36\" xref=\"p1.1.m1.1.36.cmml\">c<\/mi>\n <mi id=\"p1.1.m1.1.37\" xref=\"p1.1.m1.1.37.cmml\">r<\/mi>\n <mi id=\"p1.1.m1.1.38\" xref=\"p1.1.m1.1.38.cmml\">i<\/mi>\n <mi id=\"p1.1.m1.1.39\" xref=\"p1.1.m1.1.39.cmml\">p<\/mi>\n <mi id=\"p1.1.m1.1.40\" xref=\"p1.1.m1.1.40.cmml\">t<\/mi>\n <mo id=\"p1.1.m1.1.41\" xref=\"p1.1.m1.1.41.cmml\">><\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1c\">\n <cerror id=\"p1.1.m1.1d\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1e\">fragments<\/csymbol>\n <lt id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">s<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">c<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">r<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">i<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">p<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.7.cmml\" xref=\"p1.1.m1.1.7\">t<\/csymbol>\n <gt id=\"p1.1.m1.1.8.cmml\" xref=\"p1.1.m1.1.8\"\/>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.9.cmml\" xref=\"p1.1.m1.1.9\">a<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.10.cmml\" xref=\"p1.1.m1.1.10\">l<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.11.cmml\" xref=\"p1.1.m1.1.11\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.12.cmml\" xref=\"p1.1.m1.1.12\">r<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.13.cmml\" xref=\"p1.1.m1.1.13\">t<\/csymbol>\n <cerror id=\"p1.1.m1.1.42.cmml\" xref=\"p1.1.m1.1.42\">\n <csymbol cd=\"ambiguous\" id=\"p1.1.m1.1.42a.cmml\" xref=\"p1.1.m1.1.42\">fragments<\/csymbol>\n <ci id=\"p1.1.m1.1.14.cmml\" xref=\"p1.1.m1.1.14\">(<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.15.cmml\" xref=\"p1.1.m1.1.15\">d<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.16.cmml\" xref=\"p1.1.m1.1.16\">o<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.17.cmml\" xref=\"p1.1.m1.1.17\">c<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.18.cmml\" xref=\"p1.1.m1.1.18\">u<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.19.cmml\" xref=\"p1.1.m1.1.19\">m<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.20.cmml\" xref=\"p1.1.m1.1.20\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.21.cmml\" xref=\"p1.1.m1.1.21\">n<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.22.cmml\" xref=\"p1.1.m1.1.22\">t<\/csymbol>\n <ci id=\"p1.1.m1.1.23.cmml\" xref=\"p1.1.m1.1.23\">.<\/ci>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.24.cmml\" xref=\"p1.1.m1.1.24\">c<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.25.cmml\" xref=\"p1.1.m1.1.25\">o<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.26.cmml\" xref=\"p1.1.m1.1.26\">o<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.27.cmml\" xref=\"p1.1.m1.1.27\">k<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.28.cmml\" xref=\"p1.1.m1.1.28\">i<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.29.cmml\" xref=\"p1.1.m1.1.29\">e<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.30.cmml\" xref=\"p1.1.m1.1.30\">s<\/csymbol>\n <ci id=\"p1.1.m1.1.31.cmml\" xref=\"p1.1.m1.1.31\">)<\/ci>\n <\/cerror>\n <ci id=\"p1.1.m1.1.32.cmml\" xref=\"p1.1.m1.1.32\">;<\/ci>\n <lt id=\"p1.1.m1.1.33.cmml\" xref=\"p1.1.m1.1.33\"\/>\n <divide id=\"p1.1.m1.1.34.cmml\" xref=\"p1.1.m1.1.34\"\/>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.35.cmml\" xref=\"p1.1.m1.1.35\">s<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.36.cmml\" xref=\"p1.1.m1.1.36\">c<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.37.cmml\" xref=\"p1.1.m1.1.37\">r<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.38.cmml\" xref=\"p1.1.m1.1.38\">i<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.39.cmml\" xref=\"p1.1.m1.1.39\">p<\/csymbol>\n <csymbol cd=\"unknown\" id=\"p1.1.m1.1.40.cmml\" xref=\"p1.1.m1.1.40\">t<\/csymbol>\n <gt id=\"p1.1.m1.1.41.cmml\" xref=\"p1.1.m1.1.41\"\/>\n <\/cerror>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1f\">{\\displaystyle{\\displaystyle<script>alert(document.cookies);<\/script>}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\widehat{x}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\widehat {x}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>x<\/mi>\n <mo>^<!-- ^ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\widehat {x}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\widehat{x}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">^<\/mo>\n <\/mover>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">^<\/ci>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\widehat{x}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\widetilde{x}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\widetilde {x}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>x<\/mi>\n <mo>~<!-- ~ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\widetilde {x}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\widetilde{x}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">x<\/mi>\n <mo id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">~<\/mo>\n <\/mover>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">~<\/ci>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\widetilde{x}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\euro 200",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\euro} 200}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>€<\/mo>\n <\/mrow>\n <\/mrow>\n <mn>200<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\euro} 200}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\euro 200}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\euro<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\u2062<\/mo>\n <mn id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">200<\/mn>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <times id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\euro<\/mtext>\n <\/merror>\n <\/ci>\n <cn type=\"integer\" id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">200<\/cn>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\euro 200}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\geneuro",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\geneuro} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>€<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\geneuro} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\geneuro}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\geneuro<\/mtext>\n <\/merror>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\geneuro<\/mtext>\n <\/merror>\n <\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\geneuro}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\geneuronarrow",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\geneuronarrow} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>€<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\geneuronarrow} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\geneuronarrow}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\geneuronarrow<\/mtext>\n <\/merror>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\geneuronarrow<\/mtext>\n <\/merror>\n <\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\geneuronarrow}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\geneurowide",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\geneurowide} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>€<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\geneurowide} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\geneurowide}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\geneurowide<\/mtext>\n <\/merror>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\geneurowide<\/mtext>\n <\/merror>\n <\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\geneurowide}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\officialeuro",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\officialeuro} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>€<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\officialeuro} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\officialeuro}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\officialeuro<\/mtext>\n <\/merror>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\officialeuro<\/mtext>\n <\/merror>\n <\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\officialeuro}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\digamma",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\digamma }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>ϝ<!-- \u03dd --><\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\digamma }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\digamma}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u03dd<\/mi>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">italic-\u03dd<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\digamma}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Coppa\\coppa\\varcoppa",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\Coppa} \\mathrm {\\coppa} \\mbox{\\coppa} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>Ϙ<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>ϙ<\/mo>\n <\/mrow>\n <\/mrow>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mtext>\\coppa<\/mtext>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\Coppa} \\mathrm {\\coppa} \\mbox{\\coppa} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Coppa\\coppa\\varcoppa}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Coppa<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\coppa<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.4.1a\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3b.cmml\">\n <mtext id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3b.cmml\">\\varcoppa<\/mtext>\n <\/merror>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Coppa<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\coppa<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3b.cmml\" xref=\"p1.1.m1.1.3\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <mtext id=\"p1.1.m1.1.3a.cmml\" xref=\"p1.1.m1.1.3\">\\varcoppa<\/mtext>\n <\/merror>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Coppa\\coppa\\varcoppa}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Digamma",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\Digamma} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>Ϝ<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\Digamma} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Digamma}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Digamma<\/mtext>\n <\/merror>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Digamma<\/mtext>\n <\/merror>\n <\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Digamma}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Koppa\\koppa",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\Koppa} \\mathrm {\\koppa} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>Ϟ<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>ϟ<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\Koppa} \\mathrm {\\koppa} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Koppa\\koppa}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Koppa<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\koppa<\/mtext>\n <\/merror>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <times id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Koppa<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\koppa<\/mtext>\n <\/merror>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Koppa\\koppa}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Sampi\\sampi",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\Sampi} \\mathrm {\\sampi} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>Ϡ<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>ϡ<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\Sampi} \\mathrm {\\sampi} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Sampi\\sampi}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Sampi<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\sampi<\/mtext>\n <\/merror>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <times id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Sampi<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\sampi<\/mtext>\n <\/merror>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Sampi\\sampi}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\Stigma\\stigma\\varstigma",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\Stigma} \\mathrm {\\stigma} \\mathrm {\\varstigma} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>Ϛ<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>ϛ<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>ϛ<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\Stigma} \\mathrm {\\stigma} \\mathrm {\\varstigma} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\Stigma\\stigma\\varstigma}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\Stigma<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2b.cmml\">\n <mtext id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2b.cmml\">\\stigma<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.4.1a\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3b.cmml\">\n <mtext id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3b.cmml\">\\varstigma<\/mtext>\n <\/merror>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\Stigma<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.2\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\n <mtext id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.2\">\\stigma<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3b.cmml\" xref=\"p1.1.m1.1.3\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <mtext id=\"p1.1.m1.1.3a.cmml\" xref=\"p1.1.m1.1.3\">\\varstigma<\/mtext>\n <\/merror>\n <\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\Stigma\\stigma\\varstigma}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\text{next years}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{next years}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>next years<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{next years}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\" class=\"ltx_document\">\n<div id=\"p1\" class=\"ltx_para\">\n<p id=\"p1.1\" class=\"ltx_p\"><span id=\"p1.1.m1.1.1.1\" class=\"ltx_text ltx_markedasmath\">next years<\/span><\/p>\n<\/div>\n<\/div>"
|
|
},
|
|
{
|
|
"tex": "\\text{next year's}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{next year's}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>next year's<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{next year's}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\" class=\"ltx_document\">\n<div id=\"p1\" class=\"ltx_para\">\n<p id=\"p1.1\" class=\"ltx_p\"><span id=\"p1.1.m1.1.1.1\" class=\"ltx_text ltx_markedasmath\">next year\u2019s<\/span><\/p>\n<\/div>\n<\/div>"
|
|
},
|
|
{
|
|
"tex": "\\text{`next' year}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{`next' year}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>`next' year<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{`next' year}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\" class=\"ltx_document\">\n<div id=\"p1\" class=\"ltx_para\">\n<p id=\"p1.1\" class=\"ltx_p\"><span id=\"p1.1.m1.1.1.1\" class=\"ltx_text ltx_markedasmath\">\u2018next\u2019 year<\/span><\/p>\n<\/div>\n<\/div>"
|
|
},
|
|
{
|
|
"tex": "\\sin x",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sin x}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sin<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sin x}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sin x}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">sin<\/mi>\n <mo id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">x<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <sin id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sin x}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sin(x)",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sin(x)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sin<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sin(x)}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sin(x)}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">sin<\/mi>\n <mo id=\"p1.1.m1.1.5.2a\" xref=\"p1.1.m1.1.5.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.5.2.1\" xref=\"p1.1.m1.1.5.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.5.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.5.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.2\">\n <sin id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sin(x)}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sin{x}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sin {x}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sin<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sin {x}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sin{x}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">sin<\/mi>\n <mo id=\"p1.1.m1.1.3a\" xref=\"p1.1.m1.1.3.cmml\">\u2061<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">x<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <sin id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sin{x}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sin x \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sin x\\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sin<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>x<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sin x\\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sin x\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">sin<\/mi>\n <mo id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\u2061<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">x<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <sin id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sin x\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sin(x) \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sin(x)\\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sin<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sin(x)\\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sin(x)\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">sin<\/mi>\n <mo id=\"p1.1.m1.1.6.2a\" xref=\"p1.1.m1.1.6.1.cmml\">\u2061<\/mo>\n <mrow id=\"p1.1.m1.1.6.2.1\" xref=\"p1.1.m1.1.6.1.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.6.1.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mo rspace=\"4.2pt\" stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.6.1.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.2\">\n <sin id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sin(x)\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sin{x} \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sin {x}\\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sin<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sin {x}\\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sin{x}\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">sin<\/mi>\n <mo id=\"p1.1.m1.1.4a\" xref=\"p1.1.m1.1.4.cmml\">\u2061<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">x<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <sin id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\"\/>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sin{x}\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sen x",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen} x}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen} x}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sen x}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\sen<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">x<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <times id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\sen<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sen x}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sen(x)",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen}(x)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen}(x)}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sen(x)}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.5\" xref=\"p1.1.m1.1.5.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\sen<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.5.1\" xref=\"p1.1.m1.1.5.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.5.2\" xref=\"p1.1.m1.1.5.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.5.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.5.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.5.cmml\" xref=\"p1.1.m1.1.5\">\n <times id=\"p1.1.m1.1.5.1.cmml\" xref=\"p1.1.m1.1.5.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\sen<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sen(x)}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sen{x}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen} {x}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen} {x}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sen{x}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\sen<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.3.1\" xref=\"p1.1.m1.1.3.1.cmml\">\u2062<\/mo>\n <mi id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">x<\/mi>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\n <times id=\"p1.1.m1.1.3.1.cmml\" xref=\"p1.1.m1.1.3.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\sen<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sen{x}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sen x \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen} x\\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mi>x<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen} x\\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sen x\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\sen<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">x<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\sen<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sen x\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sen(x) \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen}(x)\\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen}(x)\\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sen(x)\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.6\" xref=\"p1.1.m1.1.6.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\sen<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.6.1\" xref=\"p1.1.m1.1.6.1.cmml\">\u2062<\/mo>\n <mrow id=\"p1.1.m1.1.6.2\" xref=\"p1.1.m1.1.6.cmml\">\n <mo stretchy=\"false\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.6.cmml\">(<\/mo>\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">x<\/mi>\n <mo rspace=\"4.2pt\" stretchy=\"false\" id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.6.cmml\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.6.cmml\" xref=\"p1.1.m1.1.6\">\n <times id=\"p1.1.m1.1.6.1.cmml\" xref=\"p1.1.m1.1.6.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\sen<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sen(x)\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\sen{x} \\,",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen} {x}\\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <mo>⁡<!-- \u2061 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen} {x}\\,}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\sen{x}\\,}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.4.cmml\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1b.cmml\">\n <mtext id=\"p1.1.m1.1.1a\" xref=\"p1.1.m1.1.1b.cmml\">\\sen<\/mtext>\n <\/merror>\n <mo id=\"p1.1.m1.1.4.1\" xref=\"p1.1.m1.1.4.1.cmml\">\u2062<\/mo>\n <mpadded width=\"+1.7pt\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">x<\/mi>\n <\/mpadded>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.4.cmml\" xref=\"p1.1.m1.1.4\">\n <times id=\"p1.1.m1.1.4.1.cmml\" xref=\"p1.1.m1.1.4.1\"\/>\n <ci id=\"p1.1.m1.1.1b.cmml\" xref=\"p1.1.m1.1.1\">\n <merror class=\"ltx_ERROR undefined undefined\" id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <mtext id=\"p1.1.m1.1.1a.cmml\" xref=\"p1.1.m1.1.1\">\\sen<\/mtext>\n <\/merror>\n <\/ci>\n <ci id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.2\">\ud835\udc65<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\sen{x}\\,}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\operatorname{sen}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\operatorname{sen}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mi id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.3.cmml\">sen<\/mi>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.3.cmml\" xref=\"p1.1.m1.1.3\">sen<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\operatorname{sen}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\dot \\vec B",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\dot {\\vec {B}}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>B<\/mi>\n <mo stretchy=\"false\">→<!-- \u2192 --><\/mo>\n <\/mover>\n <\/mrow>\n <mo>˙<!-- \u02d9 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\dot {\\vec {B}}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\dot{\\vec{B}}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\n <mi id=\"p1.1.m1.1.1.2.1.2\" xref=\"p1.1.m1.1.1.2.1.2.cmml\">B<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.2.1.1\" xref=\"p1.1.m1.1.1.2.1.1.cmml\">\u2192<\/mo>\n <\/mover>\n <mo id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">\u02d9<\/mo>\n <\/mover>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">\u02d9<\/ci>\n <apply id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\n <ci id=\"p1.1.m1.1.1.2.1.1.cmml\" xref=\"p1.1.m1.1.1.2.1.1\">\u2192<\/ci>\n <ci id=\"p1.1.m1.1.1.2.1.2.cmml\" xref=\"p1.1.m1.1.1.2.1.2\">\ud835\udc35<\/ci>\n <\/apply>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\dot{\\vec{B}}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\tilde \\mathcal{M}",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\tilde {\\mathcal {M}}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">M<\/mi>\n <\/mrow>\n <mo stretchy=\"false\">~<!-- ~ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\tilde {\\mathcal {M}}}}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\tilde{\\mathcal{M}}}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mover accent=\"true\" id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\n <mi class=\"ltx_font_mathcaligraphic\" id=\"p1.1.m1.1.1.2\" xref=\"p1.1.m1.1.1.2.cmml\">\u2133<\/mi>\n <mo stretchy=\"false\" id=\"p1.1.m1.1.1.1\" xref=\"p1.1.m1.1.1.1.cmml\">~<\/mo>\n <\/mover>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <apply id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">\n <ci id=\"p1.1.m1.1.1.1.cmml\" xref=\"p1.1.m1.1.1.1\">~<\/ci>\n <ci id=\"p1.1.m1.1.1.2.cmml\" xref=\"p1.1.m1.1.1.2\">\u2133<\/ci>\n <\/apply>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\tilde{\\mathcal{M}}}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\" \/>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\" class=\"ltx_document\">\n<div id=\"p1\" class=\"ltx_para\">\n<p id=\"p1.1\" class=\"ltx_p\"\/>\n<\/div>\n<\/div>"
|
|
},
|
|
{
|
|
"tex": " ",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\" \/>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<div xmlns=\"http:\/\/www.w3.org\/1999\/xhtml\" class=\"ltx_document\">\n<div id=\"p1\" class=\"ltx_para\">\n<p id=\"p1.1\" class=\"ltx_p\"\/>\n<\/div>\n<\/div>"
|
|
},
|
|
{
|
|
"tex": "\\left(\\begin{smallmatrix}a & b\\\\ c & d\\end{smallmatrix}\\right)",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left({\\begin{smallmatrix}a&b\\\\c&d\\end{smallmatrix}}\\right)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle scriptlevel=\"1\">\n <mtable rowspacing=\".2em\" columnspacing=\"0.333em\" displaystyle=\"false\">\n <mtr>\n <mtd>\n <mi>a<\/mi>\n <\/mtd>\n <mtd>\n <mi>b<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>c<\/mi>\n <\/mtd>\n <mtd>\n <mi>d<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mstyle>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left({\\begin{smallmatrix}a&b\\\\c&d\\end{smallmatrix}}\\right)}<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\left(\\begin{smallmatrix}a&b\\\\ c&d\\end{smallmatrix}\\right)}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mrow id=\"p1.1.m1.1.4\" xref=\"p1.1.m1.1.2.cmml\">\n <mo id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.2.cmml\">(<\/mo>\n <mtable columnspacing=\"5pt\" rowspacing=\"0pt\" id=\"p1.1.m1.1.2\" xref=\"p1.1.m1.1.2.cmml\">\n <mtr id=\"p1.1.m1.1.2a\" xref=\"p1.1.m1.1.2.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.2b\" xref=\"p1.1.m1.1.2.cmml\">\n <mi mathsize=\"70%\" id=\"p1.1.m1.1.2.1.1.1\" xref=\"p1.1.m1.1.2.1.1.1.cmml\">a<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.2c\" xref=\"p1.1.m1.1.2.cmml\">\n <mi mathsize=\"70%\" id=\"p1.1.m1.1.2.1.2.1\" xref=\"p1.1.m1.1.2.1.2.1.cmml\">b<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr id=\"p1.1.m1.1.2d\" xref=\"p1.1.m1.1.2.cmml\">\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.2e\" xref=\"p1.1.m1.1.2.cmml\">\n <mi mathsize=\"70%\" id=\"p1.1.m1.1.2.2.1.1\" xref=\"p1.1.m1.1.2.2.1.1.cmml\">c<\/mi>\n <\/mtd>\n <mtd columnalign=\"center\" id=\"p1.1.m1.1.2f\" xref=\"p1.1.m1.1.2.cmml\">\n <mi mathsize=\"70%\" id=\"p1.1.m1.1.2.2.2.1\" xref=\"p1.1.m1.1.2.2.2.1.cmml\">d<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo id=\"p1.1.m1.1.3\" xref=\"p1.1.m1.1.2.cmml\">)<\/mo>\n <\/mrow>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <matrix id=\"p1.1.m1.1.2.cmml\" xref=\"p1.1.m1.1.4\">\n <matrixrow id=\"p1.1.m1.1.2a.cmml\" xref=\"p1.1.m1.1.4\">\n <ci id=\"p1.1.m1.1.2.1.1.1.cmml\" xref=\"p1.1.m1.1.2.1.1.1\">\ud835\udc4e<\/ci>\n <ci id=\"p1.1.m1.1.2.1.2.1.cmml\" xref=\"p1.1.m1.1.2.1.2.1\">\ud835\udc4f<\/ci>\n <\/matrixrow>\n <matrixrow id=\"p1.1.m1.1.2b.cmml\" xref=\"p1.1.m1.1.4\">\n <ci id=\"p1.1.m1.1.2.2.1.1.cmml\" xref=\"p1.1.m1.1.2.2.1.1\">\ud835\udc50<\/ci>\n <ci id=\"p1.1.m1.1.2.2.2.1.cmml\" xref=\"p1.1.m1.1.2.2.2.1\">\ud835\udc51<\/ci>\n <\/matrixrow>\n <\/matrix>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\left(\\begin{smallmatrix}a&b\\\\\nc&d\\end{smallmatrix}\\right)}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
},
|
|
{
|
|
"tex": "\\AA",
|
|
"type": "tex",
|
|
"mmlMathoid": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\AA} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>Å<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\AA} }<\/annotation>\n <\/semantics>\n<\/math>",
|
|
"mmlLaTeXML": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"p1.1.m1.1\" class=\"ltx_Math\" alttext=\"{\\displaystyle{\\displaystyle\\AA}}\" display=\"inline\">\n <semantics id=\"p1.1.m1.1a\">\n <mi id=\"p1.1.m1.1.1\" xref=\"p1.1.m1.1.1.cmml\">\u00c5<\/mi>\n <annotation-xml encoding=\"MathML-Content\" id=\"p1.1.m1.1b\">\n <ci id=\"p1.1.m1.1.1.cmml\" xref=\"p1.1.m1.1.1\">italic-\u00c5<\/ci>\n <\/annotation-xml>\n <annotation encoding=\"application\/x-tex\" id=\"p1.1.m1.1c\">{\\displaystyle{\\displaystyle\\AA}}<\/annotation>\n <\/semantics>\n<\/math>"
|
|
}
|
|
] |