mirror of
https://gerrit.wikimedia.org/r/mediawiki/extensions/Math
synced 2024-12-21 03:42:46 +00:00
2762 lines
1.9 MiB
2762 lines
1.9 MiB
[
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{
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"tex": "e^{i \\pi} + 1 = 0\\,\\!",
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"type": "tex",
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"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>",
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},
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{
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"tex": "e^{i \\pi} + 1 = 0\\,\\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\definecolor{red}{RGB}{255,0,0}\\pagecolor{red}e^{i \\pi} + 1 = 0\\,\\!",
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"type": "tex",
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"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>",
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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>"
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},
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{
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"tex": "\\sqrt{\\pi}",
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"type": "tex",
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"tex": "\\sqrt{\\pi}",
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"tex": "\\pi",
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"tex": "\\pi",
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"tex": "\\text{abc}",
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"type": "tex",
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"tex": "\\alpha\\,\\!",
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"type": "tex",
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"tex": " f(x) = x^2\\,\\!",
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"type": "tex",
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"tex": "\\sqrt{2}",
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"type": "tex",
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"tex": "\\sqrt{1-e^2}\\!",
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"type": "tex",
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"tex": "\\sqrt{1-z^3}\\!",
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"tex": "x",
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"tex": "\\hat{a}, \\widehat{a}, \\vec{a} \\!",
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"tex": "\\ln c, \\lg d = \\log e, \\log_{10} f \\!",
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"tex": "\\sin a, \\cos b, \\tan c, \\cot d, \\sec e, \\csc f\\!",
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{
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"tex": "\\arcsin h, \\arccos i, \\arctan j \\!",
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{
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"tex": "\\sinh k, \\cosh l, \\tanh m, \\coth n \\!",
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"type": "tex",
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{
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"tex": "\\operatorname{sh}\\,k, \\operatorname{ch}\\,l, \\operatorname{th}\\,m, \\operatorname{coth}\\,n \\!",
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"type": "tex",
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{
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"tex": "\\operatorname{argsh}\\,o, \\operatorname{argch}\\,p, \\operatorname{argth}\\,q \\!",
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"type": "tex",
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},
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{
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"tex": "\\sgn r, \\left\\vert s \\right\\vert \\!",
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"type": "tex",
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},
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{
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"tex": "\\min(x,y), \\max(x,y) \\!",
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"type": "tex",
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{
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"tex": "\\min x, \\max y, \\inf s, \\sup t \\!",
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"type": "tex",
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"tex": "\\lim u, \\liminf v, \\limsup w \\!",
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{
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"tex": "\\dim p, \\deg q, \\det m, \\ker\\phi \\!",
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"type": "tex",
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},
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{
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"tex": "\\Pr j, \\hom l, \\lVert z \\rVert, \\arg z \\!",
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"type": "tex",
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{
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"tex": "dt, \\operatorname{d}\\!t, \\partial t, \\nabla\\psi\\!",
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"type": "tex",
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},
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{
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"tex": "\\prime, \\backprime, f^\\prime, f', f'', f^{(3)} \\!, \\dot y, \\ddot y",
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"type": "tex",
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},
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{
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"tex": "\\infty, \\aleph, \\complement, \\backepsilon, \\eth, \\Finv, \\hbar \\!",
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"type": "tex",
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"tex": "\\Im, \\imath, \\jmath, \\Bbbk, \\ell, \\mho, \\wp, \\Re, \\circledS \\!",
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},
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{
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"tex": "s_k \\equiv 0 \\pmod{m} \\!",
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"type": "tex",
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"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>",
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},
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{
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"tex": "a\\,\\bmod\\,b \\!",
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"type": "tex",
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"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>"
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{
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"tex": "\\gcd(m, n), \\operatorname{lcm}(m, n)",
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"type": "tex",
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"tex": "\\mid, \\nmid, \\shortmid, \\nshortmid \\!",
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"tex": "\\sqrt[3]{x^3+y^3 \\over 2} \\!",
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"type": "tex",
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},
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"tex": "\\surd, \\sqrt{2}, \\sqrt[n]{}, \\sqrt[3]{x^3+y^3 \\over 2} \\!",
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{
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"tex": "+, -, \\pm, \\mp, \\dotplus \\!",
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},
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{
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"tex": "\\times, \\div, \\divideontimes, \/, \\backslash \\!",
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"type": "tex",
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"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>",
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{
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"tex": "\\cdot, * \\ast, \\star, \\circ, \\bullet \\!",
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"type": "tex",
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},
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{
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"tex": "\\boxplus, \\boxminus, \\boxtimes, \\boxdot \\!",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\oplus, \\ominus, \\otimes, \\oslash, \\odot\\!",
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"type": "tex",
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{
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"tex": "\\circleddash, \\circledcirc, \\circledast \\!",
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"type": "tex",
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"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>"
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},
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{
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"tex": "\\bigoplus, \\bigotimes, \\bigodot \\!",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\{ \\}, \\O \\empty \\emptyset, \\varnothing \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\in, \\notin \\not\\in, \\ni, \\not\\ni \\!",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\cap, \\Cap, \\sqcap, \\bigcap \\!",
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"type": "tex",
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},
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{
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"tex": "\\cup, \\Cup, \\sqcup, \\bigcup, \\bigsqcup, \\uplus, \\biguplus \\!",
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"type": "tex",
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{
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"tex": "\\setminus, \\smallsetminus, \\times \\!",
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"type": "tex",
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"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>"
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{
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"tex": "\\subset, \\Subset, \\sqsubset \\!",
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"type": "tex",
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"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>"
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},
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{
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"tex": "\\supset, \\Supset, \\sqsupset \\!",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\subseteq, \\nsubseteq, \\subsetneq, \\varsubsetneq, \\sqsubseteq \\!",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\supseteq, \\nsupseteq, \\supsetneq, \\varsupsetneq, \\sqsupseteq \\!",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\subseteqq, \\nsubseteqq, \\subsetneqq, \\varsubsetneqq \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\supseteqq, \\nsupseteqq, \\supsetneqq, \\varsupsetneqq \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "=, \\ne, \\neq, \\equiv, \\not\\equiv \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\doteq, \\doteqdot, \\overset{\\underset{\\mathrm{def}}{}}{=}, := \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\sim, \\nsim, \\backsim, \\thicksim, \\simeq, \\backsimeq, \\eqsim, \\cong, \\ncong \\!",
|
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\approx, \\thickapprox, \\approxeq, \\asymp, \\propto, \\varpropto \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "<, \\nless, \\ll, \\not\\ll, \\lll, \\not\\lll, \\lessdot \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": ">, \\ngtr, \\gg, \\not\\gg, \\ggg, \\not\\ggg, \\gtrdot \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\le \\leq, \\lneq, \\leqq, \\nleqq, \\lneqq, \\lvertneqq \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
|
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"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>",
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"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>"
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|
},
|
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{
|
|
"tex": "\\lessgtr \\lesseqgtr \\lesseqqgtr \\gtrless \\gtreqless \\gtreqqless \\!",
|
|
"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\leqslant, \\nleqslant, \\eqslantless \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\geqslant, \\ngeqslant, \\eqslantgtr \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\lesssim, \\lnsim, \\lessapprox, \\lnapprox \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": " \\gtrsim, \\gnsim, \\gtrapprox, \\gnapprox \\,",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\prec, \\nprec, \\preceq, \\npreceq, \\precneqq \\!",
|
|
"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\succ, \\nsucc, \\succeq, \\nsucceq, \\succneqq \\!",
|
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"type": "tex",
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"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>",
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{
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"tex": "\\preccurlyeq, \\curlyeqprec \\,",
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"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>",
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{
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"tex": "\\succcurlyeq, \\curlyeqsucc \\,",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\precsim, \\precnsim, \\precapprox, \\precnapprox \\,",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\succsim, \\succnsim, \\succapprox, \\succnapprox \\,",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\parallel, \\nparallel, \\shortparallel, \\nshortparallel \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\perp, \\angle, \\sphericalangle, \\measuredangle, 45^\\circ \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\Box, \\blacksquare, \\diamond, \\Diamond \\lozenge, \\blacklozenge, \\bigstar \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\bigcirc, \\triangle \\bigtriangleup, \\bigtriangledown \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\vartriangle, \\triangledown\\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\blacktriangle, \\blacktriangledown, \\blacktriangleleft, \\blacktriangleright \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\forall, \\exists, \\nexists \\!",
|
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"type": "tex",
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"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>",
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"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>"
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},
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{
|
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"tex": "\\therefore, \\because, \\And \\!",
|
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"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>",
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"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>"
|
|
},
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{
|
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"tex": "\\or \\lor \\vee, \\curlyvee, \\bigvee \\!",
|
|
"type": "tex",
|
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"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>",
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"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>"
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},
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{
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"tex": "\\and \\land \\wedge, \\curlywedge, \\bigwedge \\!",
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"type": "tex",
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},
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{
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"tex": "\\bar{q}, \\bar{abc}, \\overline{q}, \\overline{abc}, \\!",
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"type": "tex",
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},
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{
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"tex": "\\lnot \\neg, \\not\\operatorname{R}, \\bot, \\top \\!",
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"type": "tex",
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},
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{
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"tex": "\\vdash \\dashv, \\vDash, \\Vdash, \\models \\!",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\Vvdash \\nvdash \\nVdash \\nvDash \\nVDash \\!",
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"type": "tex",
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"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>"
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},
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{
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"tex": "\\ulcorner \\urcorner \\llcorner \\lrcorner \\,",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\Rrightarrow, \\Lleftarrow \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\Rightarrow, \\nRightarrow, \\Longrightarrow \\implies\\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
|
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"tex": "\\Leftarrow, \\nLeftarrow, \\Longleftarrow \\!",
|
|
"type": "tex",
|
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"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>",
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"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>"
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},
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{
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"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>",
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"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",
|
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"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>"
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},
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{
|
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"tex": "\\rightarrow \\to, \\nrightarrow, \\longrightarrow\\!",
|
|
"type": "tex",
|
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"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>",
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"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>"
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},
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{
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"tex": "\\leftarrow \\gets, \\nleftarrow, \\longleftarrow\\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\leftrightarrow, \\nleftrightarrow, \\longleftrightarrow \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\uparrow, \\downarrow, \\updownarrow \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\nearrow, \\swarrow, \\nwarrow, \\searrow \\!",
|
|
"type": "tex",
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"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",
|
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"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>",
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},
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{
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"tex": "\\curvearrowleft \\circlearrowleft \\Lsh \\upuparrows \\rightrightarrows \\rightleftarrows \\rightarrowtail \\looparrowright \\,\\!",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\curvearrowright \\circlearrowright \\Rsh \\downdownarrows \\leftleftarrows \\leftrightarrows \\leftarrowtail \\looparrowleft \\,\\!",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\hookrightarrow \\hookleftarrow \\multimap \\leftrightsquigarrow \\rightsquigarrow \\twoheadrightarrow \\twoheadleftarrow \\!",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\amalg \\P \\S \\% \\dagger \\ddagger \\ldots \\cdots \\!",
|
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"type": "tex",
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"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>",
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"tex": "\\smile \\frown \\wr \\triangleleft \\triangleright\\!",
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"tex": "\\diamondsuit, \\heartsuit, \\clubsuit, \\spadesuit, \\Game, \\flat, \\natural, \\sharp \\!",
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"tex": "\\diagup \\diagdown \\centerdot \\ltimes \\rtimes \\leftthreetimes \\rightthreetimes \\!",
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"tex": "\\eqcirc \\circeq \\triangleq \\bumpeq \\Bumpeq \\doteqdot \\risingdotseq \\fallingdotseq \\!",
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"tex": "\\intercal \\barwedge \\veebar \\doublebarwedge \\between \\pitchfork \\!",
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"tex": "\\vartriangleleft \\ntriangleleft \\vartriangleright \\ntriangleright \\!",
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"tex": "\\trianglelefteq \\ntrianglelefteq \\trianglerighteq \\ntrianglerighteq \\!",
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"tex": "a^2",
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"tex": "a_2",
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},
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{
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"tex": "10^{30} a^{2+2}",
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"type": "tex",
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},
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{
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"tex": "a_{i,j} b_{f'}",
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"type": "tex",
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"tex": "x_2^3",
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"tex": "{x_2}^3 \\,\\!",
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"tex": "10^{10^{8}}",
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"type": "tex",
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"tex": "\\sideset{_1^2}{_3^4}\\prod_a^b",
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"type": "tex",
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},
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{
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"tex": "{}_1^2\\!\\Omega_3^4",
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"tex": "\\overset{\\alpha}{\\omega}",
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{
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"tex": "\\underset{\\alpha}{\\omega}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\overset{\\alpha}{\\underset{\\gamma}{\\omega}}",
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"type": "tex",
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},
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{
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"tex": "\\stackrel{\\alpha}{\\omega}",
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"type": "tex",
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},
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{
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"tex": "x', y'', f', f''",
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"type": "tex",
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},
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{
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"tex": "x^\\prime, y^{\\prime\\prime}",
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"type": "tex",
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},
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{
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"tex": "\\dot{x}, \\ddot{x}",
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"type": "tex",
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"tex": " \\hat a \\ \\bar b \\ \\vec c",
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},
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{
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"tex": " \\overrightarrow{a b} \\ \\overleftarrow{c d} \\ \\widehat{d e f}",
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},
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{
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"tex": " \\overline{g h i} \\ \\underline{j k l}",
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"tex": " A \\xleftarrow{n+\\mu-1} B \\xrightarrow[T]{n\\pm i-1} C",
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"tex": "\\overbrace{ 1+2+\\cdots+100 }^{5050}",
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"tex": "\\textstyle \\sum_{k=1}^N k^2",
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"tex": "\\prod_{i=1}^N x_i",
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{
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"tex": "\\textstyle \\prod_{i=1}^N x_i",
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"tex": "\\coprod_{i=1}^N x_i",
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{
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"tex": "\\textstyle \\coprod_{i=1}^N x_i",
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"type": "tex",
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{
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"tex": "\\lim_{n \\to \\infty}x_n",
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"tex": "\\textstyle \\lim_{n \\to \\infty}x_n",
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"tex": "\\iint\\limits_D \\, dx\\,dy",
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"tex": "\\iiint\\limits_E \\, dx\\,dy\\,dz",
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"tex": "\\iiiint\\limits_F \\, dx\\,dy\\,dz\\,dt",
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"tex": "\\oint_{(x,y)\\in C} x^3\\, dx + 4y^2\\, dy",
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},
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{
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"tex": "\\bigcap_{i=_1}^n E_i",
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"type": "tex",
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"tex": "\\bigcup_{i=_1}^n E_i",
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"tex": "\\frac{2}{4}=0.5",
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"tex": "\\tfrac{2}{4} = 0.5",
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"tex": "\\dfrac{2}{4} = 0.5 \\qquad \\dfrac{2}{c + \\dfrac{2}{d + \\dfrac{2}{4}}} = a",
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"tex": "\\cfrac{x}{1 + \\cfrac{\\cancel{y}}{\\cancel{y}}} = \\cfrac{x}{2}",
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"tex": "\\tbinom{n}{k}",
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"tex": "\\dbinom{n}{k}",
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{
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"tex": "\\begin{Vmatrix} x & y \\\\ z & v\n\\end{Vmatrix}",
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"type": "tex",
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},
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{
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"tex": "\\begin{bmatrix} 0 & \\cdots & 0 \\\\ \\vdots\n& \\ddots & \\vdots \\\\ 0 & \\cdots &\n0\\end{bmatrix} ",
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"type": "tex",
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},
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{
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"tex": "\\begin{Bmatrix} x & y \\\\ z & v\n\\end{Bmatrix}",
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"type": "tex",
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"tex": "\\begin{pmatrix} x & y \\\\ z & v\n\\end{pmatrix}",
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"type": "tex",
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{
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"tex": "\n\\bigl( \\begin{smallmatrix}\na&b\\\\ c&d\n\\end{smallmatrix} \\bigr)\n",
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"type": "tex",
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"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} ",
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"type": "tex",
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},
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{
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"tex": "\n\\begin{align}\nf(x) & = (a+b)^2 \\\\\n& = a^2+2ab+b^2 \\\\\n\\end{align}\n",
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"type": "tex",
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},
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{
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"tex": "\n\\begin{alignat}{2}\nf(x) & = (a-b)^2 \\\\\n& = a^2-2ab+b^2 \\\\\n\\end{alignat}\n",
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"type": "tex",
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"tex": "\\begin{array}{lcl}\nz & = & a \\\\\nf(x,y,z) & = & x + y + z\n\\end{array}",
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"tex": "\\begin{array}{lcr}\nz & = & a \\\\\nf(x,y,z) & = & x + y + z\n\\end{array}",
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"type": "tex",
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{
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"tex": "f(x) \\,\\!",
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"type": "tex",
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},
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{
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"tex": "= \\sum_{n=0}^\\infty a_n x^n ",
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"type": "tex",
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},
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{
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"tex": "= a_0+a_1x+a_2x^2+\\cdots",
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"type": "tex",
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},
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{
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"tex": "f(x) \\,\\!",
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"type": "tex",
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},
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{
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"tex": "= \\sum_{n=0}^\\infty a_n x^n ",
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"type": "tex",
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},
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{
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"tex": "= a_0 +a_1x+a_2x^2+\\cdots",
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"type": "tex",
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{
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"tex": "\\begin{cases} 3x + 5y + z \\\\ 7x - 2y + 4z \\\\ -6x + 3y + 2z \\end{cases}",
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"type": "tex",
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"tex": "( \\frac{1}{2} )",
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},
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{
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"tex": "\\left \\lfloor \\frac{a}{b} \\right \\rfloor \\quad \\left \\lceil \\frac{c}{d} \\right \\rceil",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\left \/ \\frac{a}{b} \\right \\backslash",
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"type": "tex",
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},
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{
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"tex": "\\left \\uparrow \\frac{a}{b} \\right \\downarrow \\quad \\left \\Uparrow \\frac{a}{b} \\right \\Downarrow \\quad \\left \\updownarrow \\frac{a}{b} \\right \\Updownarrow",
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"type": "tex",
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"tex": "\\left [ 0,1 \\right )",
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"tex": "\\left \\langle \\psi \\right |",
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{
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"tex": "\\left . \\frac{A}{B} \\right \\} \\to X",
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"type": "tex",
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"tex": "\\big( \\Big( \\bigg( \\Bigg( \\dots \\Bigg] \\bigg] \\Big] \\big]",
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},
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{
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"tex": "\\big\\{ \\Big\\{ \\bigg\\{ \\Bigg\\{ \\dots \\Bigg\\rangle \\bigg\\rangle \\Big\\rangle \\big\\rangle",
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"type": "tex",
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"tex": "\\big\\| \\Big\\| \\bigg\\| \\Bigg\\| \\dots \\Bigg| \\bigg| \\Big| \\big|",
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"tex": "\\big\\lfloor \\Big\\lfloor \\bigg\\lfloor \\Bigg\\lfloor \\dots \\Bigg\\rceil \\bigg\\rceil \\Big\\rceil \\big\\rceil",
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{
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"tex": "\\big\\uparrow \\Big\\uparrow \\bigg\\uparrow \\Bigg\\uparrow \\dots \\Bigg\\Downarrow \\bigg\\Downarrow \\Big\\Downarrow \\big\\Downarrow",
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"type": "tex",
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"tex": "\\Alpha \\Beta \\Gamma \\Delta \\Epsilon \\Zeta \\Eta \\Theta \\!",
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},
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{
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"tex": "\\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Pi \\Rho \\!",
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"type": "tex",
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},
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{
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"tex": "\\Sigma \\Tau \\Upsilon \\Phi \\Chi \\Psi \\Omega \\!",
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"type": "tex",
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},
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{
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"tex": "\\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta \\!",
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"type": "tex",
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"tex": "\\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho \\!",
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{
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"tex": "\\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega \\!",
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},
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{
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"tex": "\\varepsilon \\digamma \\varkappa \\varpi \\!",
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"tex": "\\varrho \\varsigma \\vartheta \\varphi \\!",
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{
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"tex": "\\aleph \\beth \\gimel \\daleth \\!",
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"tex": "\\mathbb{ABCDEFGHI} \\!",
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"tex": "\\mathbb{JKLMNOPQR} \\!",
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"tex": "\\mathbb{STUVWXYZ} \\!",
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"tex": "\\mathbf{ABCDEFGHI} \\!",
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"tex": "\\mathbf{JKLMNOPQR} \\!",
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"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",
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|
"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>"
|
|
},
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{
|
|
"tex": "\\mathbf{abcdefghijklm} \\!",
|
|
"type": "tex",
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|
"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>"
|
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},
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{
|
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"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>"
|
|
},
|
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{
|
|
"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>"
|
|
},
|
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{
|
|
"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>",
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"tex": "\\boldsymbol{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega} \\!",
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},
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{
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"tex": "\\boldsymbol{\\alpha\\beta\\gamma\\delta\\epsilon\\zeta\\eta\\theta} \\!",
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"type": "tex",
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},
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{
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"tex": "\\boldsymbol{\\iota\\kappa\\lambda\\mu\\nu\\xi\\pi\\rho} \\!",
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"tex": "\\boldsymbol{\\sigma\\tau\\upsilon\\phi\\chi\\psi\\omega} \\!",
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"tex": "\\boldsymbol{\\varepsilon\\digamma\\varkappa\\varpi} \\!",
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"tex": "\\boldsymbol{\\varrho\\varsigma\\vartheta\\varphi} \\!",
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"tex": "\\mathit{0123456789} \\!",
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"tex": "\\mathit{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta} \\!",
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},
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{
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"tex": "\\mathit{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho} \\!",
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"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>",
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"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>"
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},
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{
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"tex": "\\mathit{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega} \\!",
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"type": "tex",
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"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>"
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},
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{
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"tex": "\\mathrm{ABCDEFGHI} \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\mathrm{JKLMNOPQR} \\!",
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"type": "tex",
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"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>",
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"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>"
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},
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{
|
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"tex": "\\mathrm{STUVWXYZ} \\!",
|
|
"type": "tex",
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"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>",
|
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"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>"
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},
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{
|
|
"tex": "\\mathrm{abcdefghijklm} \\!",
|
|
"type": "tex",
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"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>"
|
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},
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{
|
|
"tex": "\\mathrm{nopqrstuvwxyz} \\!",
|
|
"type": "tex",
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"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>"
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},
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{
|
|
"tex": "\\mathrm{0123456789} \\!",
|
|
"type": "tex",
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"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>",
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"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>"
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},
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{
|
|
"tex": "\\mathsf{ABCDEFGHI} \\!",
|
|
"type": "tex",
|
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"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>",
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"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>"
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},
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{
|
|
"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>",
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"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>"
|
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},
|
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{
|
|
"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>",
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"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>"
|
|
},
|
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{
|
|
"tex": "\\mathsf{abcdefghijklm} \\!",
|
|
"type": "tex",
|
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"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>"
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},
|
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{
|
|
"tex": "\\mathsf{nopqrstuvwxyz} \\!",
|
|
"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\mathsf{0123456789} \\!",
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"type": "tex",
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},
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{
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"tex": "\\mathsf{\\Alpha \\Beta \\Gamma \\Delta \\Epsilon \\Zeta \\Eta \\Theta} \\!",
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"type": "tex",
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},
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{
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"tex": "\\mathsf{\\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Pi \\Rho} \\!",
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"type": "tex",
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},
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{
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"tex": "\\mathsf{\\Sigma \\Tau \\Upsilon \\Phi \\Chi \\Psi \\Omega}\\!",
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"type": "tex",
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"tex": "\\mathcal{ABCDEFGHI} \\!",
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{
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"tex": "\\mathcal{JKLMNOPQR} \\!",
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{
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"tex": "\\mathcal{STUVWXYZ} \\!",
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{
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"tex": "\\mathfrak{ABCDEFGHI} \\!",
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"tex": "\\mathfrak{JKLMNOPQR} \\!",
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},
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{
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"tex": "\\mathfrak{STUVWXYZ} \\!",
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},
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{
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"tex": "\\mathfrak{abcdefghijklm} \\!",
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"tex": "\\mathfrak{nopqrstuvwxyz} \\!",
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"tex": "\\mathfrak{0123456789} \\!",
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"tex": "x y z",
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"tex": "\\text{x y z}",
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"tex": "\\text{if} n \\text{is even}",
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"tex": "\\text{if }n\\text{ is even}",
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"tex": "\\text{if}~n\\ \\text{is even}",
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"tex": "{\\color{Blue}x^2}+{\\color{YellowOrange}2x}-{\\color{OliveGreen}1}",
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},
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{
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"tex": "x_{1,2}=\\frac{-b\\pm\\sqrt{\\color{Red}b^2-4ac}}{2a}",
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"type": "tex",
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},
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{
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"tex": "e^{i \\pi} + 1 = 0",
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"type": "tex",
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"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>",
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"tex": "\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{orange}e^{i \\pi} + 1 = 0",
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{
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"tex": "e^{i \\pi} + 1 = 0\\,\\!",
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"type": "tex",
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"tex": "\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{orange}e^{i \\pi} + 1 = 0",
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{
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"tex": "e^{i \\pi} + 1 = 0",
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"type": "tex",
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"tex": "\\definecolor{orange}{RGB}{255,165,0}\\pagecolor{orange}e^{i \\pi} + 1 = 0",
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"tex": "\\color{Apricot}\\text{Apricot}",
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"tex": "\\color{Aquamarine}\\text{Aquamarine}",
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},
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{
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"tex": "\\color{Bittersweet}\\text{Bittersweet}",
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{
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"tex": "\\color{Black}\\text{Black}",
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},
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{
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"tex": "\\color{Blue}\\text{Blue}",
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"type": "tex",
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},
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{
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"tex": "\\color{BlueGreen}\\text{BlueGreen}",
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"type": "tex",
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},
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{
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"tex": "\\color{BlueViolet}\\text{BlueViolet}",
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"type": "tex",
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},
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{
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"tex": "\\color{BrickRed}\\text{BrickRed}",
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"type": "tex",
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"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>",
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{
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"tex": "\\color{Brown}\\text{Brown}",
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},
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{
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"tex": "\\color{BurntOrange}\\text{BurntOrange}",
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},
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{
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"tex": "\\color{CadetBlue}\\text{CadetBlue}",
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"tex": "\\color{Cerulean}\\text{Cerulean}",
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"tex": "\\color{CornflowerBlue}\\text{CornflowerBlue}",
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},
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{
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"tex": "\\color{Cyan}\\text{Cyan}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\color{Dandelion}\\text{Dandelion}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\color{DarkOrchid}\\text{DarkOrchid}",
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"type": "tex",
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"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>",
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{
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"tex": "\\color{Emerald}\\text{Emerald}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\color{ForestGreen}\\text{ForestGreen}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\color{Fuchsia}\\text{Fuchsia}",
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"type": "tex",
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"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>",
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"tex": "\\color{Goldenrod}\\text{Goldenrod}",
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{
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"tex": "\\color{Gray}\\text{Gray}",
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"type": "tex",
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{
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"tex": "\\color{Green}\\text{Green}",
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{
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"tex": "\\color{GreenYellow}\\text{GreenYellow}",
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"tex": "\\color{JungleGreen}\\text{JungleGreen}",
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{
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"tex": "\\color{Lavender}\\text{Lavender}",
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{
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"tex": "\\color{LimeGreen}\\text{LimeGreen}",
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{
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"tex": "\\color{Magenta}\\text{Magenta}",
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"type": "tex",
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},
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{
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"tex": "\\color{Mahogany}\\text{Mahogany}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\color{Maroon}\\text{Maroon}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\color{Melon}\\text{Melon}",
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"type": "tex",
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},
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{
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"tex": "\\color{MidnightBlue}\\text{MidnightBlue}",
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"type": "tex",
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},
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{
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"tex": "\\color{Mulberry}\\text{Mulberry}",
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"type": "tex",
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},
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{
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"tex": "\\color{NavyBlue}\\text{NavyBlue}",
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"type": "tex",
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"tex": "\\color{OliveGreen}\\text{OliveGreen}",
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},
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{
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"tex": "\\color{Orange}\\text{Orange}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\color{OrangeRed}\\text{OrangeRed}",
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},
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{
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"tex": "\\color{Orchid}\\text{Orchid}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\color{Peach}\\text{Peach}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\color{Periwinkle}\\text{Periwinkle}",
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"type": "tex",
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},
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{
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"tex": "\\color{PineGreen}\\text{PineGreen}",
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"type": "tex",
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{
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"tex": "\\color{Plum}\\text{Plum}",
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},
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{
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"tex": "\\color{ProcessBlue}\\text{ProcessBlue}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\color{Purple}\\text{Purple}",
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"type": "tex",
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},
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{
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"tex": "\\color{RawSienna}\\text{RawSienna}",
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},
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{
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"tex": "\\color{Red}\\text{Red}",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\color{RedOrange}\\text{RedOrange}",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\color{RedViolet}\\text{RedViolet}",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\color{Rhodamine}\\text{Rhodamine}",
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"tex": "\\color{RoyalBlue}\\text{RoyalBlue}",
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},
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{
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"tex": "\\color{RoyalPurple}\\text{RoyalPurple}",
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},
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{
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"tex": "\\color{RubineRed}\\text{RubineRed}",
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{
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"tex": "\\color{Salmon}\\text{Salmon}",
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},
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{
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"tex": "\\color{SeaGreen}\\text{SeaGreen}",
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"type": "tex",
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{
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"tex": "\\color{Sepia}\\text{Sepia}",
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},
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{
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"tex": "\\color{SkyBlue}\\text{SkyBlue}",
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"type": "tex",
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},
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{
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"tex": "\\color{SpringGreen}\\text{SpringGreen}",
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"type": "tex",
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},
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{
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"tex": "\\color{Tan}\\text{Tan}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\color{TealBlue}\\text{TealBlue}",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\color{Thistle}\\text{Thistle}",
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"type": "tex",
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"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>",
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{
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"tex": "\\color{Turquoise}\\text{Turquoise}",
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},
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{
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"tex": "\\color{Violet}\\text{Violet}",
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"type": "tex",
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},
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{
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"tex": "\\color{VioletRed}\\text{VioletRed}",
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"type": "tex",
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},
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{
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"tex": "\\pagecolor{Black}\\color{White}\\text{White}",
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"type": "tex",
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"tex": "\\int_{-N}^{N} e^x\\, dx",
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"tex": "\\text{geometric series:}\\quad \\begin{align} \\sum_{i=0}^\\infty 2^{-i}=2 \\end{align}",
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"tex": "\\text{geometric series:}\\quad \\sum_{i=0}^\\infty 2^{-i}=2 ",
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"tex": "\\iint",
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"tex": "\\oint",
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"tex": "\\iint\\limits_{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset\\!\\supset \\mathbf D \\cdot \\mathrm{d}\\mathbf A",
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"type": "tex",
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"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>",
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"tex": "( \\nabla \\times \\bold{F} ) \\cdot {\\rm d}\\bold{S} = \\oint_{\\partial S} \\bold{F} \\cdot {\\rm d}\\boldsymbol{\\ell} ",
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"tex": "( \\nabla \\times \\bold{F} ) \\cdot {\\rm d}\\bold{S} = \\oint_{\\partial S} \\bold{F} \\cdot {\\rm d}\\boldsymbol{\\ell} ",
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"tex": "{\\scriptstyle S}",
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"tex": "{\\scriptstyle \\partial \\Omega}",
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"tex": "\\bold{T} \\cdot {\\rm d}^3\\boldsymbol{\\Sigma} = 0",
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"tex": "{\\scriptstyle \\partial \\Omega}",
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},
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{
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"tex": "2 = \\left( \\frac{\\left(3-x\\right) \\times 2}{3-x} \\right)",
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"type": "tex",
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{
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"tex": "2 = \\left(\n\\frac{\\left(3-x\\right) \\times 2}{3-x}\n\\right)",
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"type": "tex",
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},
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{
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"tex": "S_{\\text{new}} = S_{\\text{old}} - \\frac{ \\left( 5-T \\right) ^2} {2}",
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"type": "tex",
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},
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{
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"tex": "S_{\\text{new}} = S_{\\text{old}} - \\frac{ \\left( 5-T \\right) ^2} {2}",
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"type": "tex",
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},
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{
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"tex": "\\int_a^x \\!\\!\\!\\int_a^s f(y)\\,dy\\,ds = \\int_a^x f(y)(x-y)\\,dy",
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"type": "tex",
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},
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{
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"tex": "\\int_a^x \\!\\!\\!\\int_a^s f(y)\\,dy\\,ds\n= \\int_a^x f(y)(x-y)\\,dy",
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"type": "tex",
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"tex": "\\det(\\mathsf{A}-\\lambda\\mathsf{I}) = 0",
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{
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"tex": "\\det(\\mathsf{A}-\\lambda\\mathsf{I}) = 0",
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"type": "tex",
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{
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"tex": "\\sum_{i=0}^{n-1} i",
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"type": "tex",
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},
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{
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"tex": "\\sum_{i=0}^{n-1} i",
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"type": "tex",
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},
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{
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"tex": "\\sum_{m=1}^\\infty\\sum_{n=1}^\\infty\\frac{m^2\\,n}{3^m\\left(m\\,3^n+n\\,3^m\\right)}",
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"type": "tex",
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},
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{
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"tex": "\\sum_{m=1}^\\infty\\sum_{n=1}^\\infty\\frac{m^2\\,n}\n{3^m\\left(m\\,3^n+n\\,3^m\\right)}",
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"type": "tex",
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"tex": "u'' + p(x)u' + q(x)u=f(x),\\quad x>a",
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"type": "tex",
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},
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{
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"tex": "|\\bar{z}| = |z|, |(\\bar{z})^n| = |z|^n, \\arg(z^n) = n \\arg(z)",
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"type": "tex",
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},
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{
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"tex": "|\\bar{z}| = |z|,\n|(\\bar{z})^n| = |z|^n,\n\\arg(z^n) = n \\arg(z)",
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"type": "tex",
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"tex": "\\lim_{z\\rightarrow z_0} f(z)=f(z_0)",
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"tex": "\\lim_{z\\rightarrow z_0} f(z)=f(z_0)",
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"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",
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{
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"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",
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"type": "tex",
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"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>",
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},
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{
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"tex": "\\phi_n(\\kappa) = 0.033C_n^2\\kappa^{-11\/3},\\quad \\frac{1}{L_0}\\ll\\kappa\\ll\\frac{1}{l_0}",
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"type": "tex",
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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>"
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"tex": "\\phi_n(\\kappa) =\n0.033C_n^2\\kappa^{-11\/3},\\quad\n\\frac{1}{L_0}\\ll\\kappa\\ll\\frac{1}{l_0}",
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"type": "tex",
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},
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{
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"tex": "f(x) = \\begin{cases}1 & -1 \\le x < 0 \\\\\n\\frac{1}{2} & x = 0 \\\\ 1 - x^2 & \\text{otherwise}\\end{cases}",
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"type": "tex",
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},
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{
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"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",
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"type": "tex",
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},
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{
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"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!}",
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"type": "tex",
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},
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{
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"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!}",
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"type": "tex",
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"tex": "V=\\frac16\\pi h\\left[3\\left(r_1^2+r_2^2\\right)+h^2\\right]",
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"tex": "V=\\frac16\\pi h\\left[3\\left(r_1^2+r_2^2\\right)+h^2\\right]",
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{
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"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}",
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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>"
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},
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{
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"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}",
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"type": "tex",
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},
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{
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"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",
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"type": "tex",
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"mmlMathoid": "",
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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>"
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},
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{
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"tex": " with a thumbnail- math enabled [[Image:foobar.jpg|thumb|<math>2+2",
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"type": "tex",
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"tex": "\\widehat{x}",
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"tex": "\\widetilde{x}",
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"tex": "\\euro 200",
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"tex": "\\geneuro",
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"tex": "\\geneuronarrow",
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"type": "tex",
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"tex": "\\geneurowide",
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"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",
|
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"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>",
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"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>"
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"tex": "\\text{`next' year}",
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"type": "tex",
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"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>",
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"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>"
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},
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"tex": "\\sin x",
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"type": "tex",
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"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>"
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},
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{
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"tex": "\\sin(x)",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\sin{x}",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\sin x \\,",
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"type": "tex",
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"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>",
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"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>"
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{
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"tex": "\\sin(x) \\,",
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"type": "tex",
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},
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{
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"tex": "\\sin{x} \\,",
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"type": "tex",
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},
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{
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"tex": "\\sen x",
|
|
"type": "tex",
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},
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{
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"tex": "\\sen(x)",
|
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"type": "tex",
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{
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"tex": "\\sen{x}",
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{
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"tex": "\\sen x \\,",
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"type": "tex",
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"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>"
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{
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"tex": "\\sen(x) \\,",
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"type": "tex",
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"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>"
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},
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{
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"tex": "\\sen{x} \\,",
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"type": "tex",
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"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>"
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},
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{
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"tex": "\\operatorname{sen}",
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\dot \\vec B",
|
|
"type": "tex",
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"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>"
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},
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{
|
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"tex": "\\tilde \\mathcal{M}",
|
|
"type": "tex",
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"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>",
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|
"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>"
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},
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{
|
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"tex": "",
|
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": " ",
|
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"type": "tex",
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"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>",
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"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>"
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},
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{
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"tex": "\\left(\\begin{smallmatrix}a & b\\\\ c & d\\end{smallmatrix}\\right)",
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"type": "tex",
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