wikimedia/mediawiki-extensions-Math
1
0
Fork 0
mirror of https://gerrit.wikimedia.org/r/mediawiki/extensions/Math synced 2024-12-21 03:42:46 +00:00
Code Issues Packages Projects Releases Wiki Activity
mediawiki-extensions-Math/tests/phpunit/unit/WikiTexVC/mmlRes-mathml-FullCoverage.json

2122 lines
457 KiB
JSON
Raw Normal View History

Add Full-Coverage Test TexVC-MMLGeneration for Mathoid-LateXML * Implemented multiple-column generation for the HTML-Generator * Items can be skipped in test by defining index Bug: T327386 Change-Id: I13148d58246ddcc1f2e6dcd14fa5b4255a1fb8e7
2023-01-20 14:48:41 +00:00
[
{
"tex": "<\/nowiki><\/code> and <code><nowiki>",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle &lt;\/nowiki&gt;&lt;\/code&gt;and&lt;code&gt;&lt;nowiki&gt;}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&lt;<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mi>n<\/mi>\n <mi>o<\/mi>\n <mi>w<\/mi>\n <mi>i<\/mi>\n <mi>k<\/mi>\n <mi>i<\/mi>\n <mo>&gt;&lt;<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mi>c<\/mi>\n <mi>o<\/mi>\n <mi>d<\/mi>\n <mi>e<\/mi>\n <mo>&gt;<\/mo>\n <mi>a<\/mi>\n <mi>n<\/mi>\n <mi>d<\/mi>\n <mo>&lt;<\/mo>\n <mi>c<\/mi>\n <mi>o<\/mi>\n <mi>d<\/mi>\n <mi>e<\/mi>\n <mo>&gt;&lt;<\/mo>\n <mi>n<\/mi>\n <mi>o<\/mi>\n <mi>w<\/mi>\n <mi>i<\/mi>\n <mi>k<\/mi>\n <mi>i<\/mi>\n <mo>&gt;<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle &lt;\/nowiki&gt;&lt;\/code&gt;and&lt;code&gt;&lt;nowiki&gt;}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sqrt{\\pi}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\sqrt {\\pi }}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mi>&#x03C0;<!-- \u03c0 --><\/mi>\n <\/msqrt>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\sqrt {\\pi }}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\pi",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\pi }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>&#x03C0;<!-- \u03c0 --><\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\pi }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\text{abc}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{abc}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>abc<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{abc}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\alpha\\,\\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\alpha \\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>&#x03B1;<!-- \u03b1 --><\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\alpha \\,\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": " f(x) = x^2\\,\\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle f(x)=x^{2}\\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle f(x)=x^{2}\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sqrt{2}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\sqrt {2}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\sqrt {2}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sqrt{1-e^2}\\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\sqrt {1-e^{2}}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mn>1<\/mn>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/msqrt>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\sqrt {1-e^{2}}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sqrt{1-z^3}\\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\sqrt {1-z^{3}}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mn>1<\/mn>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <msup>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <\/msqrt>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\sqrt {1-z^{3}}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "x",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\dot{a}, \\ddot{a}, \\acute{a}, \\grave{a} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\dot {a}},{\\ddot {a}},{\\acute {a}},{\\grave {a}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo>&#x02D9;<!-- \u02d9 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo>&#x00A8;<!-- \u00a8 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo>&#x00B4;<!-- \u00b4 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo>&#x0060;<!-- ` --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\dot {a}},{\\ddot {a}},{\\acute {a}},{\\grave {a}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\check{a}, \\breve{a}, \\tilde{a}, \\bar{a} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\check {a}},{\\breve {a}},{\\tilde {a}},{\\bar {a}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo stretchy=\"false\">&#x02C7;<!-- \u02c7 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo>&#x02D8;<!-- \u02d8 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo stretchy=\"false\">&#x007E;<!-- ~ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo stretchy=\"false\">&#x00AF;<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\check {a}},{\\breve {a}},{\\tilde {a}},{\\bar {a}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\hat{a}, \\widehat{a}, \\vec{a} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\hat {a}},{\\widehat {a}},{\\vec {a}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo stretchy=\"false\">&#x005E;<!-- ^ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo>&#x005E;<!-- ^ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo stretchy=\"false\">&#x2192;<!-- \u2192 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\hat {a}},{\\widehat {a}},{\\vec {a}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\exp_a b = a^b, \\exp b = e^b, 10^m \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\exp _{a}b=a^{b},\\exp b=e^{b},10^{m}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>exp<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <\/msub>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>b<\/mi>\n <mo>=<\/mo>\n <msup>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>b<\/mi>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <mi>exp<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>b<\/mi>\n <mo>=<\/mo>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>b<\/mi>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mn>10<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>m<\/mi>\n <\/mrow>\n <\/msup>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\exp _{a}b=a^{b},\\exp b=e^{b},10^{m}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\ln c, \\lg d = \\log e, \\log_{10} f \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\ln c,\\lg d=\\log e,\\log _{10}f\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>ln<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>c<\/mi>\n <mo>,<\/mo>\n <mi>lg<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>d<\/mi>\n <mo>=<\/mo>\n <mi>log<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>e<\/mi>\n <mo>,<\/mo>\n <msub>\n <mi>log<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>10<\/mn>\n <\/mrow>\n <\/msub>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>f<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\ln c,\\lg d=\\log e,\\log _{10}f\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sin a, \\cos b, \\tan c, \\cot d, \\sec e, \\csc f\\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sin a,\\cos b,\\tan c,\\cot d,\\sec e,\\csc f\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sin<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>a<\/mi>\n <mo>,<\/mo>\n <mi>cos<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>b<\/mi>\n <mo>,<\/mo>\n <mi>tan<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>c<\/mi>\n <mo>,<\/mo>\n <mi>cot<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>d<\/mi>\n <mo>,<\/mo>\n <mi>sec<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>e<\/mi>\n <mo>,<\/mo>\n <mi>csc<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>f<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sin a,\\cos b,\\tan c,\\cot d,\\sec e,\\csc f\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\arcsin h, \\arccos i, \\arctan j \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\arcsin h,\\arccos i,\\arctan j\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>arcsin<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>h<\/mi>\n <mo>,<\/mo>\n <mi>arccos<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>i<\/mi>\n <mo>,<\/mo>\n <mi>arctan<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>j<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\arcsin h,\\arccos i,\\arctan j\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sinh k, \\cosh l, \\tanh m, \\coth n \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sinh k,\\cosh l,\\tanh m,\\coth n\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sinh<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>k<\/mi>\n <mo>,<\/mo>\n <mi>cosh<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>l<\/mi>\n <mo>,<\/mo>\n <mi>tanh<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>m<\/mi>\n <mo>,<\/mo>\n <mi>coth<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>n<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sinh k,\\cosh l,\\tanh m,\\coth n\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\operatorname{sh}\\,k, \\operatorname{ch}\\,l, \\operatorname{th}\\,m, \\operatorname{coth}\\,n \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sh} \\,k,\\operatorname {ch} \\,l,\\operatorname {th} \\,m,\\operatorname {coth} \\,n\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sh<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>k<\/mi>\n <mo>,<\/mo>\n <mi>ch<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>l<\/mi>\n <mo>,<\/mo>\n <mi>th<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>m<\/mi>\n <mo>,<\/mo>\n <mi>coth<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>n<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sh} \\,k,\\operatorname {ch} \\,l,\\operatorname {th} \\,m,\\operatorname {coth} \\,n\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\operatorname{argsh}\\,o, \\operatorname{argch}\\,p, \\operatorname{argth}\\,q \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {argsh} \\,o,\\operatorname {argch} \\,p,\\operatorname {argth} \\,q\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>argsh<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>o<\/mi>\n <mo>,<\/mo>\n <mi>argch<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>p<\/mi>\n <mo>,<\/mo>\n <mi>argth<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>q<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {argsh} \\,o,\\operatorname {argch} \\,p,\\operatorname {argth} \\,q\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sgn r, \\left\\vert s \\right\\vert \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sgn} r,\\left\\vert s\\right\\vert \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sgn<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>r<\/mi>\n <mo>,<\/mo>\n <mrow>\n <mo>|<\/mo>\n <mi>s<\/mi>\n <mo>|<\/mo>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sgn} r,\\left\\vert s\\right\\vert \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\min(x,y), \\max(x,y) \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\min(x,y),\\max(x,y)\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">min<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">max<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\min(x,y),\\max(x,y)\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\min x, \\max y, \\inf s, \\sup t \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\min x,\\max y,\\inf s,\\sup t\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">min<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">max<\/mo>\n <mi>y<\/mi>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">inf<\/mo>\n <mi>s<\/mi>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">sup<\/mo>\n <mi>t<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\min x,\\max y,\\inf s,\\sup t\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\lim u, \\liminf v, \\limsup w \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\lim u,\\liminf v,\\limsup w\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">lim<\/mo>\n <mi>u<\/mi>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">lim&#x2006;inf<\/mo>\n <mi>v<\/mi>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">lim&#x2006;sup<\/mo>\n <mi>w<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\lim u,\\liminf v,\\limsup w\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\dim p, \\deg q, \\det m, \\ker\\phi \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\dim p,\\deg q,\\det m,\\ker \\phi \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>dim<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>p<\/mi>\n <mo>,<\/mo>\n <mi>deg<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>q<\/mi>\n <mo>,<\/mo>\n <mo movablelimits=\"true\" form=\"prefix\">det<\/mo>\n <mi>m<\/mi>\n <mo>,<\/mo>\n <mi>ker<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>&#x03D5;<!-- \u03d5 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\dim p,\\deg q,\\det m,\\ker \\phi \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\Pr j, \\hom l, \\lVert z \\rVert, \\arg z \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Pr j,\\hom l,\\lVert z\\rVert ,\\arg z\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">Pr<\/mo>\n <mi>j<\/mi>\n <mo>,<\/mo>\n <mi>hom<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>l<\/mi>\n <mo>,<\/mo>\n <mo fence=\"false\" stretchy=\"false\">&#x2016;<!-- \u2016 --><\/mo>\n <mi>z<\/mi>\n <mo fence=\"false\" stretchy=\"false\">&#x2016;<!-- \u2016 --><\/mo>\n <mo>,<\/mo>\n <mi>arg<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>z<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Pr j,\\hom l,\\lVert z\\rVert ,\\arg z\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "dt, \\operatorname{d}\\!t, \\partial t, \\nabla\\psi\\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle dt,\\operatorname {d} \\!t,\\partial t,\\nabla \\psi \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>d<\/mi>\n <mi>t<\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">d<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <mi>t<\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mi>t<\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x2207;<!-- \u2207 --><\/mi>\n <mi>&#x03C8;<!-- \u03c8 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle dt,\\operatorname {d} \\!t,\\partial t,\\nabla \\psi \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "dy\/dx, \\operatorname{d}\\!y\/\\operatorname{d}\\!x, {dy \\over dx}, {\\operatorname{d}\\!y\\over\\operatorname{d}\\!x}, {\\partial^2\\over\\partial x_1\\partial x_2}y \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle dy\/dx,\\operatorname {d} \\!y\/\\operatorname {d} \\!x,{dy \\over dx},{\\operatorname {d} \\!y \\over \\operatorname {d} \\!x},{\\partial ^{2} \\over \\partial x_{1}\\partial x_{2}}y\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>d<\/mi>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">d<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mi mathvariant=\"normal\">d<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <\/mrow>\n <mrow>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi mathvariant=\"normal\">d<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <mi>y<\/mi>\n <\/mrow>\n <mrow>\n <mi mathvariant=\"normal\">d<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <mi>x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <msup>\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mrow>\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mi>y<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle dy\/dx,\\operatorname {d} \\!y\/\\operatorname {d} \\!x,{dy \\over dx},{\\operatorname {d} \\!y \\over \\operatorname {d} \\!x},{\\partial ^{2} \\over \\partial x_{1}\\partial x_{2}}y\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\prime, \\backprime, f^\\prime, f', f'', f^{(3)} \\!, \\dot y, \\ddot y",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\prime ,\\backprime ,f^{\\prime },f',f'',f^{(3)}\\!,{\\dot {y}},{\\ddot {y}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi class=\"MJX-variant\" mathvariant=\"normal\">&#x2032;<!-- \u2032 --><\/mi>\n <mo>,<\/mo>\n <mi class=\"MJX-variant\">&#x2035;<!-- \u2035 --><\/mi>\n <mo>,<\/mo>\n <msup>\n <mi>f<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-variant\" mathvariant=\"normal\">&#x2032;<!-- \u2032 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>f<\/mi>\n <mo>&#x2032;<\/mo>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>f<\/mi>\n <mo>&#x2033;<\/mo>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>f<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">(<\/mo>\n <mn>3<\/mn>\n <mo stretchy=\"false\">)<\/mo>\n <\/mrow>\n <\/msup>\n <mspace width=\"negativethinmathspace\" \/>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>y<\/mi>\n <mo>&#x02D9;<!-- \u02d9 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>y<\/mi>\n <mo>&#x00A8;<!-- \u00a8 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\prime ,\\backprime ,f^{\\prime },f',f'',f^{(3)}\\!,{\\dot {y}},{\\ddot {y}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\infty, \\aleph, \\complement, \\backepsilon, \\eth, \\Finv, \\hbar \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\infty ,\\aleph ,\\complement ,\\backepsilon ,\\eth ,\\Finv ,\\hbar \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x2135;<!-- \u2135 --><\/mi>\n <mo>,<\/mo>\n <mi>&#x2201;<!-- \u2201 --><\/mi>\n <mo>,<\/mo>\n <mo>&#x220D;<!-- \u220d --><\/mo>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x00F0;<!-- \u00f0 --><\/mi>\n <mo>,<\/mo>\n <mi>&#x2132;<!-- \u2132 --><\/mi>\n <mo>,<\/mo>\n <mi class=\"MJX-variant\">&#x210F;<!-- \u210f --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\infty ,\\aleph ,\\complement ,\\backepsilon ,\\eth ,\\Finv ,\\hbar \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\Im, \\imath, \\jmath, \\Bbbk, \\ell, \\mho, \\wp, \\Re, \\circledS \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Im ,\\imath ,\\jmath ,\\Bbbk ,\\ell ,\\mho ,\\wp ,\\Re ,\\circledS \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">&#x2111;<!-- \u2111 --><\/mi>\n <mo>,<\/mo>\n <mi>&#x0131;<!-- \u0131 --><\/mi>\n <mo>,<\/mo>\n <mi>&#x0237;<!-- \u0237 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"double-struck\">&#x006B;<!-- k --><\/mi>\n <mo>,<\/mo>\n <mi>&#x2113;<!-- \u2113 --><\/mi>\n <mo>,<\/mo>\n <mi>&#x2127;<!-- \u2127 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x2118;<!-- \u2118 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x211C;<!-- \u211c --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x24C8;<!-- \u24c8 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Im ,\\imath ,\\jmath ,\\Bbbk ,\\ell ,\\mho ,\\wp ,\\Re ,\\circledS \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "s_k \\equiv 0 \\pmod{m} \\!",
"type": "tex",
"mml": "<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>&#x2261;<!-- \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>"
},
{
"tex": "a\\,\\bmod\\,b \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\,{\\bmod {\\,}}b\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo lspace=\"thickmathspace\" rspace=\"thickmathspace\">mod<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mspace width=\"thinmathspace\" \/>\n <\/mrow>\n <\/mrow>\n <mi>b<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\,{\\bmod {\\,}}b\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\gcd(m, n), \\operatorname{lcm}(m, n)",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\gcd(m,n),\\operatorname {lcm} (m,n)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">gcd<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>m<\/mi>\n <mo>,<\/mo>\n <mi>n<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>,<\/mo>\n <mi>lcm<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>m<\/mi>\n <mo>,<\/mo>\n <mi>n<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\gcd(m,n),\\operatorname {lcm} (m,n)}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mid, \\nmid, \\shortmid, \\nshortmid \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mid ,\\nmid ,\\shortmid ,\\nshortmid \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">&#x2223;<!-- \u2223 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2224;<!-- \u2224 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2223;<!-- \u2223 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2224;<!-- \u2224 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mid ,\\nmid ,\\shortmid ,\\nshortmid \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\surd, \\sqrt{2}, \\sqrt[n]{}, \\sqrt[3]{x^3+y^3 \\over 2} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\surd ,{\\sqrt {2}},{\\sqrt[{n}]{}},{\\sqrt[{3}]{x^{3}+y^{3} \\over 2}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">&#x221A;<!-- \u221a --><\/mo>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mroot>\n <mrow \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/mroot>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mroot>\n <mfrac>\n <mrow>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <msup>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mn>2<\/mn>\n <\/mfrac>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/mroot>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\surd ,{\\sqrt {2}},{\\sqrt[{n}]{}},{\\sqrt[{3}]{x^{3}+y^{3} \\over 2}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "+, -, \\pm, \\mp, \\dotplus \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle +,-,\\pm ,\\mp ,\\dotplus \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>+<\/mo>\n <mo>,<\/mo>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x00B1;<!-- \u00b1 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2213;<!-- \u2213 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2214;<!-- \u2214 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle +,-,\\pm ,\\mp ,\\dotplus \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\times, \\div, \\divideontimes, \/, \\backslash \\!",
"type": "tex",
"mml": "<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>&#x00D7;<!-- \u00d7 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x00F7;<!-- \u00f7 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22C7;<!-- \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\">&#x2216;<!-- \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>"
},
{
"tex": "\\cdot, * \\ast, \\star, \\circ, \\bullet \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\cdot ,*\\ast ,\\star ,\\circ ,\\bullet \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2217;<!-- \u2217 --><\/mo>\n <mo>&#x2217;<!-- \u2217 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22C6;<!-- \u22c6 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2218;<!-- \u2218 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2219;<!-- \u2219 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\cdot ,*\\ast ,\\star ,\\circ ,\\bullet \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\boxplus, \\boxminus, \\boxtimes, \\boxdot \\!",
"type": "tex",
"mml": "<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>&#x229E;<!-- \u229e --><\/mo>\n <mo>,<\/mo>\n <mo>&#x229F;<!-- \u229f --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22A0;<!-- \u22a0 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22A1;<!-- \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>"
},
{
"tex": "\\oplus, \\ominus, \\otimes, \\oslash, \\odot\\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\oplus ,\\ominus ,\\otimes ,\\oslash ,\\odot \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x2295;<!-- \u2295 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2296;<!-- \u2296 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2297;<!-- \u2297 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2298;<!-- \u2298 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2299;<!-- \u2299 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\oplus ,\\ominus ,\\otimes ,\\oslash ,\\odot \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\circleddash, \\circledcirc, \\circledast \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\circleddash ,\\circledcirc ,\\circledast \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x229D;<!-- \u229d --><\/mo>\n <mo>,<\/mo>\n <mo>&#x229A;<!-- \u229a --><\/mo>\n <mo>,<\/mo>\n <mo>&#x229B;<!-- \u229b --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\circleddash ,\\circledcirc ,\\circledast \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\bigoplus, \\bigotimes, \\bigodot \\!",
"type": "tex",
"mml": "<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>&#x2A01;<!-- \u2a01 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2A02;<!-- \u2a02 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2A00;<!-- \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>"
},
{
"tex": "\\{ \\}, \\O \\empty \\emptyset, \\varnothing \\!",
"type": "tex",
"mml": "<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\">&#x2205;<!-- \u2205 --><\/mi>\n <mi mathvariant=\"normal\">&#x2205;<!-- \u2205 --><\/mi>\n <mi mathvariant=\"normal\">&#x2205;<!-- \u2205 --><\/mi>\n <mo>,<\/mo>\n <mi class=\"MJX-variant\">&#x2205;<!-- \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>"
},
{
"tex": "\\in, \\notin \\not\\in, \\ni, \\not\\ni \\!",
"type": "tex",
"mml": "<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>&#x2208;<!-- \u2208 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2209;<!-- \u2209 -->&#x2209;<\/mo>\n <mo>,<\/mo>\n <mo>&#x220B;<!-- \u220b --><\/mo>\n <mo>,<\/mo>\n <mo>&#x220C;<\/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>"
},
{
"tex": "\\cap, \\Cap, \\sqcap, \\bigcap \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\cap ,\\Cap ,\\sqcap ,\\bigcap \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x2229;<!-- \u2229 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22D2;<!-- \u22d2 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2293;<!-- \u2293 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22C2;<!-- \u22c2 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\cap ,\\Cap ,\\sqcap ,\\bigcap \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\cup, \\Cup, \\sqcup, \\bigcup, \\bigsqcup, \\uplus, \\biguplus \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\cup ,\\Cup ,\\sqcup ,\\bigcup ,\\bigsqcup ,\\uplus ,\\biguplus \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x222A;<!-- \u222a --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22D3;<!-- \u22d3 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2294;<!-- \u2294 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22C3;<!-- \u22c3 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2A06;<!-- \u2a06 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x228E;<!-- \u228e --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2A04;<!-- \u2a04 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\cup ,\\Cup ,\\sqcup ,\\bigcup ,\\bigsqcup ,\\uplus ,\\biguplus \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\setminus, \\smallsetminus, \\times \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\setminus ,\\smallsetminus ,\\times \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo class=\"MJX-variant\">&#x2216;<!-- \u2216 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2216;<!-- \u2216 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x00D7;<!-- \u00d7 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\setminus ,\\smallsetminus ,\\times \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\subset, \\Subset, \\sqsubset \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\subset ,\\Subset ,\\sqsubset \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x2282;<!-- \u2282 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22D0;<!-- \u22d0 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x228F;<!-- \u228f --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\subset ,\\Subset ,\\sqsubset \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\supset, \\Supset, \\sqsupset \\!",
"type": "tex",
"mml": "<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>&#x2283;<!-- \u2283 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22D1;<!-- \u22d1 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2290;<!-- \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>"
},
{
"tex": "\\subseteq, \\nsubseteq, \\subsetneq, \\varsubsetneq, \\sqsubseteq \\!",
"type": "tex",
"mml": "<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>&#x2286;<!-- \u2286 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2288;<!-- \u2288 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x228A;<!-- \u228a --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x228A;<!-- \u228a --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2291;<!-- \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>"
},
{
"tex": "\\supseteq, \\nsupseteq, \\supsetneq, \\varsupsetneq, \\sqsupseteq \\!",
"type": "tex",
"mml": "<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>&#x2287;<!-- \u2287 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2289;<!-- \u2289 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x228B;<!-- \u228b --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x228B;<!-- \u228b --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2292;<!-- \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>"
},
{
"tex": "\\subseteqq, \\nsubseteqq, \\subsetneqq, \\varsubsetneqq \\!",
"type": "tex",
"mml": "<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>&#x2AC5;<!-- \u2ac5 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2288;<!-- \u2288 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2ACB;<!-- \u2acb --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2ACB;<!-- \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>"
},
{
"tex": "\\supseteqq, \\nsupseteqq, \\supsetneqq, \\varsupsetneqq \\!",
"type": "tex",
"mml": "<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>&#x2AC6;<!-- \u2ac6 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2289;<!-- \u2289 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2ACC;<!-- \u2acc --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2ACC;<!-- \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>"
},
{
"tex": "=, \\ne, \\neq, \\equiv, \\not\\equiv \\!",
"type": "tex",
"mml": "<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>&#x2260;<!-- \u2260 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2260;<!-- \u2260 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2261;<!-- \u2261 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2262;<\/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>"
},
{
"tex": "\\doteq, \\doteqdot, \\overset{\\underset{\\mathrm{def}}{}}{=}, := \\!",
"type": "tex",
"mml": "<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>&#x2250;<!-- \u2250 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2251;<!-- \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>"
},
{
"tex": "\\sim, \\nsim, \\backsim, \\thicksim, \\simeq, \\backsimeq, \\eqsim, \\cong, \\ncong \\!",
"type": "tex",
"mml": "<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>&#x223C;<!-- \u223c --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2241;<!-- \u2241 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x223D;<!-- \u223d --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x223C;<!-- \u223c --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2243;<!-- \u2243 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22CD;<!-- \u22cd --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2242;<!-- \u2242 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2245;<!-- \u2245 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2246;<!-- \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>"
},
{
"tex": "\\approx, \\thickapprox, \\approxeq, \\asymp, \\propto, \\varpropto \\!",
"type": "tex",
"mml": "<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>&#x2248;<!-- \u2248 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2248;<!-- \u2248 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x224A;<!-- \u224a --><\/mo>\n <mo>,<\/mo>\n <mo>&#x224D;<!-- \u224d --><\/mo>\n <mo>,<\/mo>\n <mo>&#x221D;<!-- \u221d --><\/mo>\n <mo>,<\/mo>\n <mo>&#x221D;<!-- \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>"
},
{
"tex": "<, \\nless, \\ll, \\not\\ll, \\lll, \\not\\lll, \\lessdot \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle &lt;,\\nless ,\\ll ,\\not \\ll ,\\lll ,\\not \\lll ,\\lessdot \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&lt;<\/mo>\n <mo>,<\/mo>\n <mo>&#x226E;<!-- \u226e --><\/mo>\n <mo>,<\/mo>\n <mo>&#x226A;<!-- \u226a --><\/mo>\n <mo>,<\/mo>\n <mo>&#x226A;<!-- \u226a -->&#x338;<\/mo>\n <mo>,<\/mo>\n <mo>&#x22D8;<!-- \u22d8 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22D8;<!-- \u22d8 -->&#x338;<\/mo>\n <mo>,<\/mo>\n <mo>&#x22D6;<!-- \u22d6 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle &lt;,\\nless ,\\ll ,\\not \\ll ,\\lll ,\\not \\lll ,\\lessdot \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": ">, \\ngtr, \\gg, \\not\\gg, \\ggg, \\not\\ggg, \\gtrdot \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle &gt;,\\ngtr ,\\gg ,\\not \\gg ,\\ggg ,\\not \\ggg ,\\gtrdot \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&gt;<\/mo>\n <mo>,<\/mo>\n <mo>&#x226F;<!-- \u226f --><\/mo>\n <mo>,<\/mo>\n <mo>&#x226B;<!-- \u226b --><\/mo>\n <mo>,<\/mo>\n <mo>&#x226B;<!-- \u226b -->&#x338;<\/mo>\n <mo>,<\/mo>\n <mo>&#x22D9;<!-- \u22d9 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22D9;<!-- \u22d9 -->&#x338;<\/mo>\n <mo>,<\/mo>\n <mo>&#x22D7;<!-- \u22d7 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle &gt;,\\ngtr ,\\gg ,\\not \\gg ,\\ggg ,\\not \\ggg ,\\gtrdot \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\le \\leq, \\lneq, \\leqq, \\nleqq, \\lneqq, \\lvertneqq \\!",
"type": "tex",
"mml": "<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>&#x2264;<!-- \u2264 -->&#x2264;<!-- \u2264 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2A87;<!-- \u2a87 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2266;<!-- \u2266 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2270;<!-- \u2270 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2268;<!-- \u2268 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2268;<!-- \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>"
},
{
"tex": "\\ge \\geq, \\gneq, \\geqq, \\ngeqq, \\gneqq, \\gvertneqq \\!",
"type": "tex",
"mml": "<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>&#x2265;<!-- \u2265 -->&#x2265;<!-- \u2265 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2A88;<!-- \u2a88 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2267;<!-- \u2267 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2271;<!-- \u2271 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2269;<!-- \u2269 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2269;<!-- \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>"
},
{
"tex": "\\lessgtr \\lesseqgtr \\lesseqqgtr \\gtrless \\gtreqless \\gtreqqless \\!",
"type": "tex",
"mml": "<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>&#x2276;<!-- \u2276 -->&#x22DA;<!-- \u22da -->&#x2A8B;<!-- \u2a8b -->&#x2277;<!-- \u2277 -->&#x22DB;<!-- \u22db -->&#x2A8C;<!-- \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>"
},
{
"tex": "\\leqslant, \\nleqslant, \\eqslantless \\!",
"type": "tex",
"mml": "<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>&#x2A7D;<!-- \u2a7d --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2A87;<!-- \u2a87 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2A95;<!-- \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>"
},
{
"tex": "\\geqslant, \\ngeqslant, \\eqslantgtr \\!",
"type": "tex",
"mml": "<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>&#x2A7E;<!-- \u2a7e --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2A88;<!-- \u2a88 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2A96;<!-- \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>"
},
{
"tex": "\\lesssim, \\lnsim, \\lessapprox, \\lnapprox \\!",
"type": "tex",
"mml": "<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>&#x2272;<!-- \u2272 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22E6;<!-- \u22e6 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2A85;<!-- \u2a85 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2A89;<!-- \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>"
},
{
"tex": " \\gtrsim, \\gnsim, \\gtrapprox, \\gnapprox \\,",
"type": "tex",
"mml": "<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>&#x2273;<!-- \u2273 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22E7;<!-- \u22e7 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2A86;<!-- \u2a86 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2A8A;<!-- \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>"
},
{
"tex": "\\prec, \\nprec, \\preceq, \\npreceq, \\precneqq \\!",
"type": "tex",
"mml": "<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>&#x227A;<!-- \u227a --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2280;<!-- \u2280 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2AAF;<!-- \u2aaf --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x22E0;<!-- \u22e0 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2AB5;<!-- \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>"
},
{
"tex": "\\succ, \\nsucc, \\succeq, \\nsucceq, \\succneqq \\!",
"type": "tex",
"mml": "<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>&#x227B;<!-- \u227b --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2281;<!-- \u2281 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2AB0;<!-- \u2ab0 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x22E1;<!-- \u22e1 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2AB6;<!-- \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>"
},
{
"tex": "\\preccurlyeq, \\curlyeqprec \\,",
"type": "tex",
"mml": "<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>&#x227C;<!-- \u227c --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22DE;<!-- \u22de --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\preccurlyeq ,\\curlyeqprec \\,}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\succcurlyeq, \\curlyeqsucc \\,",
"type": "tex",
"mml": "<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>&#x227D;<!-- \u227d --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22DF;<!-- \u22df --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\succcurlyeq ,\\curlyeqsucc \\,}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\precsim, \\precnsim, \\precapprox, \\precnapprox \\,",
"type": "tex",
"mml": "<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>&#x227E;<!-- \u227e --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22E8;<!-- \u22e8 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2AB7;<!-- \u2ab7 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2AB9;<!-- \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>"
},
{
"tex": "\\succsim, \\succnsim, \\succapprox, \\succnapprox \\,",
"type": "tex",
"mml": "<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>&#x227F;<!-- \u227f --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22E9;<!-- \u22e9 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2AB8;<!-- \u2ab8 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2ABA;<!-- \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>"
},
{
"tex": "\\parallel, \\nparallel, \\shortparallel, \\nshortparallel \\!",
"type": "tex",
"mml": "<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\">&#x2225;<!-- \u2225 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2226;<!-- \u2226 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2225;<!-- \u2225 --><\/mo>\n <mo>,<\/mo>\n <mo class=\"MJX-variant\">&#x2226;<!-- \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>"
},
{
"tex": "\\perp, \\angle, \\sphericalangle, \\measuredangle, 45^\\circ \\!",
"type": "tex",
"mml": "<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>&#x22A5;<!-- \u22a5 --><\/mo>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x2220;<!-- \u2220 --><\/mi>\n <mo>,<\/mo>\n <mi>&#x2222;<!-- \u2222 --><\/mi>\n <mo>,<\/mo>\n <mi>&#x2221;<!-- \u2221 --><\/mi>\n <mo>,<\/mo>\n <msup>\n <mn>45<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2218;<!-- \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>"
},
{
"tex": "\\Box, \\blacksquare, \\diamond, \\Diamond \\lozenge, \\blacklozenge, \\bigstar \\!",
"type": "tex",
"mml": "<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>&#x25FB;<!-- \u25fb --><\/mi>\n <mo>,<\/mo>\n <mi>&#x25FC;<!-- \u25fc --><\/mi>\n <mo>,<\/mo>\n <mo>&#x22C4;<!-- \u22c4 --><\/mo>\n <mo>,<\/mo>\n <mi>&#x25CA;<!-- \u25ca --><\/mi>\n <mi>&#x25CA;<!-- \u25ca --><\/mi>\n <mo>,<\/mo>\n <mi>&#x29EB;<!-- \u29eb --><\/mi>\n <mo>,<\/mo>\n <mi>&#x2605;<!-- \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>"
},
{
"tex": "\\bigcirc, \\triangle \\bigtriangleup, \\bigtriangledown \\!",
"type": "tex",
"mml": "<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>&#x25EF;<!-- \u25ef --><\/mo>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x25B3;<!-- \u25b3 --><\/mi>\n <mo>&#x25B3;<!-- \u25b3 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x25BD;<!-- \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>"
},
{
"tex": "\\vartriangle, \\triangledown\\!",
"type": "tex",
"mml": "<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\">&#x25B3;<!-- \u25b3 --><\/mo>\n <mo>,<\/mo>\n <mi class=\"MJX-variant\">&#x25BD;<!-- \u25bd --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\vartriangle ,\\triangledown \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\blacktriangle, \\blacktriangledown, \\blacktriangleleft, \\blacktriangleright \\!",
"type": "tex",
"mml": "<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>&#x25B4;<!-- \u25b4 --><\/mi>\n <mo>,<\/mo>\n <mi>&#x25BE;<!-- \u25be --><\/mi>\n <mo>,<\/mo>\n <mo>&#x25C2;<!-- \u25c2 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x25B8;<!-- \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>"
},
{
"tex": "\\forall, \\exists, \\nexists \\!",
"type": "tex",
"mml": "<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\">&#x2200;<!-- \u2200 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x2203;<!-- \u2203 --><\/mi>\n <mo>,<\/mo>\n <mi>&#x2204;<!-- \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>"
},
{
"tex": "\\therefore, \\because, \\And \\!",
"type": "tex",
"mml": "<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>&#x2234;<!-- \u2234 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x2235;<!-- \u2235 --><\/mo>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x0026;<!-- & --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\therefore ,\\because ,\\And \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\or \\lor \\vee, \\curlyvee, \\bigvee \\!",
"type": "tex",
"mml": "<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>&#x2228;<!-- \u2228 --><\/mo>\n <mo>&#x2228;<!-- \u2228 --><\/mo>\n <mo>&#x2228;<!-- \u2228 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22CE;<!-- \u22ce --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22C1;<!-- \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>"
},
{
"tex": "\\and \\land \\wedge, \\curlywedge, \\bigwedge \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\land \\land \\wedge ,\\curlywedge ,\\bigwedge \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x2227;<!-- \u2227 --><\/mo>\n <mo>&#x2227;<!-- \u2227 --><\/mo>\n <mo>&#x2227;<!-- \u2227 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22CF;<!-- \u22cf --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22C0;<!-- \u22c0 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\land \\land \\wedge ,\\curlywedge ,\\bigwedge \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\bar{q}, \\bar{abc}, \\overline{q}, \\overline{abc}, \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\bar {q}},{\\bar {abc}},{\\overline {q}},{\\overline {abc}},\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>q<\/mi>\n <mo stretchy=\"false\">&#x00AF;<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <mi>c<\/mi>\n <\/mrow>\n <mo stretchy=\"false\">&#x00AF;<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>q<\/mi>\n <mo accent=\"false\">&#x00AF;<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <mi>c<\/mi>\n <\/mrow>\n <mo accent=\"false\">&#x00AF;<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <mo>,<\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\bar {q}},{\\bar {abc}},{\\overline {q}},{\\overline {abc}},\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\lnot \\neg, \\not\\operatorname{R}, \\bot, \\top \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\lnot \\neg ,\\not \\operatorname {R} ,\\bot ,\\top \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">&#x00AC;<!-- \u00ac --><\/mi>\n <mi mathvariant=\"normal\">&#x00AC;<!-- \u00ac --><\/mi>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-REL\">\n <mpadded width=\"0\">\n <mtext>&#x29F8;<\/mtext>\n <\/mpadded>\n <\/mrow>\n <mi mathvariant=\"normal\">R<\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x22A5;<!-- \u22a5 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x22A4;<!-- \u22a4 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\lnot \\neg ,\\not \\operatorname {R} ,\\bot ,\\top \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\vdash \\dashv, \\vDash, \\Vdash, \\models \\!",
"type": "tex",
"mml": "<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>&#x22A2;<!-- \u22a2 -->&#x22A3;<!-- \u22a3 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22A8;<!-- \u22a8 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22A9;<!-- \u22a9 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x22A8;<!-- \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>"
},
{
"tex": "\\Vvdash \\nvdash \\nVdash \\nvDash \\nVDash \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Vvdash \\nvdash \\nVdash \\nvDash \\nVDash \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x22AA;<!-- \u22aa -->&#x22AC;<!-- \u22ac -->&#x22AE;<!-- \u22ae -->&#x22AD;<!-- \u22ad -->&#x22AF;<!-- \u22af --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Vvdash \\nvdash \\nVdash \\nvDash \\nVDash \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\ulcorner \\urcorner \\llcorner \\lrcorner \\,",
"type": "tex",
"mml": "<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>&#x231C;<!-- \u231c --><\/mo>\n <mo>&#x231D;<!-- \u231d --><\/mo>\n <mo>&#x231E;<!-- \u231e --><\/mo>\n <mo>&#x231F;<!-- \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>"
},
{
"tex": "\\Rrightarrow, \\Lleftarrow \\!",
"type": "tex",
"mml": "<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\">&#x21DB;<!-- \u21db --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x21DA;<!-- \u21da --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Rrightarrow ,\\Lleftarrow \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\Rightarrow, \\nRightarrow, \\Longrightarrow \\implies\\!",
"type": "tex",
"mml": "<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\">&#x21D2;<!-- \u21d2 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x21CF;<!-- \u21cf --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x27F9;<!-- \u27f9 --><\/mo>\n <mspace width=\"thickmathspace\" \/>\n <mo stretchy=\"false\">&#x27F9;<!-- \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>"
},
{
"tex": "\\Leftarrow, \\nLeftarrow, \\Longleftarrow \\!",
"type": "tex",
"mml": "<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\">&#x21D0;<!-- \u21d0 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x21CD;<!-- \u21cd --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x27F8;<!-- \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>"
},
{
"tex": "\\Leftrightarrow, \\nLeftrightarrow, \\Longleftrightarrow \\iff \\!",
"type": "tex",
"mml": "<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\">&#x21D4;<!-- \u21d4 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x21CE;<!-- \u21ce --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x27FA;<!-- \u27fa --><\/mo>\n <mspace width=\"thickmathspace\" \/>\n <mo stretchy=\"false\">&#x27FA;<!-- \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>"
},
{
"tex": "\\Uparrow, \\Downarrow, \\Updownarrow \\!",
"type": "tex",
"mml": "<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\">&#x21D1;<!-- \u21d1 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x21D3;<!-- \u21d3 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x21D5;<!-- \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>"
},
{
"tex": "\\rightarrow \\to, \\nrightarrow, \\longrightarrow\\!",
"type": "tex",
"mml": "<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\">&#x2192;<!-- \u2192 -->&#x2192;<!-- \u2192 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x219B;<!-- \u219b --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x27F6;<!-- \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>"
},
{
"tex": "\\leftarrow \\gets, \\nleftarrow, \\longleftarrow\\!",
"type": "tex",
"mml": "<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\">&#x2190;<!-- \u2190 -->&#x2190;<!-- \u2190 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x219A;<!-- \u219a --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x27F5;<!-- \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>"
},
{
"tex": "\\leftrightarrow, \\nleftrightarrow, \\longleftrightarrow \\!",
"type": "tex",
"mml": "<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\">&#x2194;<!-- \u2194 --><\/mo>\n <mo>,<\/mo>\n <mo>&#x21AE;<!-- \u21ae --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x27F7;<!-- \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>"
},
{
"tex": "\\uparrow, \\downarrow, \\updownarrow \\!",
"type": "tex",
"mml": "<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\">&#x2191;<!-- \u2191 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x2193;<!-- \u2193 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x2195;<!-- \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>"
},
{
"tex": "\\nearrow, \\swarrow, \\nwarrow, \\searrow \\!",
"type": "tex",
"mml": "<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\">&#x2197;<!-- \u2197 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x2199;<!-- \u2199 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x2196;<!-- \u2196 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x2198;<!-- \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>"
},
{
"tex": "\\mapsto, \\longmapsto \\!",
"type": "tex",
"mml": "<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\">&#x21A6;<!-- \u21a6 --><\/mo>\n <mo>,<\/mo>\n <mo stretchy=\"false\">&#x27FC;<!-- \u27fc --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mapsto ,\\longmapsto \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\rightharpoonup \\rightharpoondown \\leftharpoonup \\leftharpoondown \\upharpoonleft \\upharpoonright \\downharpoonleft \\downharpoonright \\rightleftharpoons \\leftrightharpoons \\,\\!",
"type": "tex",
"mml": "<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\">&#x21C0;<!-- \u21c0 -->&#x21C1;<!-- \u21c1 -->&#x21BC;<!-- \u21bc -->&#x21BD;<!-- \u21bd -->&#x21BF;<!-- \u21bf -->&#x21BE;<!-- \u21be -->&#x21C3;<!-- \u21c3 -->&#x21C2;<!-- \u21c2 --><\/mo>\n <mo class=\"MJX-variant\" lspace=\"0pt\" rspace=\"0pt\" stretchy=\"false\">&#x21CC;<!-- \u21cc --><\/mo>\n <mo lspace=\"0pt\" stretchy=\"false\">&#x21CB;<!-- \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>"
},
{
"tex": "\\curvearrowleft \\circlearrowleft \\Lsh \\upuparrows \\rightrightarrows \\rightleftarrows \\rightarrowtail \\looparrowright \\,\\!",
"type": "tex",
"mml": "<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>&#x21B6;<!-- \u21b6 -->&#x21BA;<!-- \u21ba -->&#x21B0;<!-- \u21b0 -->&#x21C8;<!-- \u21c8 -->&#x21C9;<!-- \u21c9 -->&#x21C4;<!-- \u21c4 -->&#x21A3;<!-- \u21a3 -->&#x21AC;<!-- \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>"
},
{
"tex": "\\curvearrowright \\circlearrowright \\Rsh \\downdownarrows \\leftleftarrows \\leftrightarrows \\leftarrowtail \\looparrowleft \\,\\!",
"type": "tex",
"mml": "<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>&#x21B7;<!-- \u21b7 -->&#x21BB;<!-- \u21bb -->&#x21B1;<!-- \u21b1 -->&#x21CA;<!-- \u21ca -->&#x21C7;<!-- \u21c7 -->&#x21C6;<!-- \u21c6 -->&#x21A2;<!-- \u21a2 -->&#x21AB;<!-- \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>"
},
{
"tex": "\\hookrightarrow \\hookleftarrow \\multimap \\leftrightsquigarrow \\rightsquigarrow \\twoheadrightarrow \\twoheadleftarrow \\!",
"type": "tex",
"mml": "<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\">&#x21AA;<!-- \u21aa -->&#x21A9;<!-- \u21a9 -->&#x22B8;<!-- \u22b8 -->&#x21AD;<!-- \u21ad -->&#x21DD;<!-- \u21dd -->&#x21A0;<!-- \u21a0 -->&#x219E;<!-- \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>"
},
{
"tex": "\\amalg \\P \\S \\% \\dagger \\ddagger \\ldots \\cdots \\!",
"type": "tex",
"mml": "<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>&#x2A3F;<!-- \u2a3f --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#xB6;<\/mo>\n <\/mrow>\n <mi mathvariant=\"normal\">&#x00A7;<!-- \u00a7 --><\/mi>\n <mi mathvariant=\"normal\">&#x0025;<!-- % --><\/mi>\n <mo>&#x2020;<!-- \u2020 --><\/mo>\n <mo>&#x2021;<!-- \u2021 --><\/mo>\n <mo>&#x2026;<!-- \u2026 --><\/mo>\n <mo>&#x22EF;<!-- \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>"
},
{
"tex": "\\smile \\frown \\wr \\triangleleft \\triangleright\\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\smile \\frown \\wr \\triangleleft \\triangleright \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x2323;<!-- \u2323 -->&#x2322;<!-- \u2322 --><\/mo>\n <mo>&#x2240;<!-- \u2240 --><\/mo>\n <mo>&#x25C3;<!-- \u25c3 --><\/mo>\n <mo>&#x25B9;<!-- \u25b9 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\smile \\frown \\wr \\triangleleft \\triangleright \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\diamondsuit, \\heartsuit, \\clubsuit, \\spadesuit, \\Game, \\flat, \\natural, \\sharp \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\diamondsuit ,\\heartsuit ,\\clubsuit ,\\spadesuit ,\\Game ,\\flat ,\\natural ,\\sharp \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">&#x2662;<!-- \u2662 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x2661;<!-- \u2661 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x2663;<!-- \u2663 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x2660;<!-- \u2660 --><\/mi>\n <mo>,<\/mo>\n <mi>&#x2141;<!-- \u2141 --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x266D;<!-- \u266d --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x266E;<!-- \u266e --><\/mi>\n <mo>,<\/mo>\n <mi mathvariant=\"normal\">&#x266F;<!-- \u266f --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\diamondsuit ,\\heartsuit ,\\clubsuit ,\\spadesuit ,\\Game ,\\flat ,\\natural ,\\sharp \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\diagup \\diagdown \\centerdot \\ltimes \\rtimes \\leftthreetimes \\rightthreetimes \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\diagup \\diagdown \\centerdot \\ltimes \\rtimes \\leftthreetimes \\rightthreetimes \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>&#x2571;<!-- \u2571 --><\/mi>\n <mi>&#x2572;<!-- \u2572 --><\/mi>\n <mo class=\"MJX-variant\">&#x22C5;<!-- \u22c5 --><\/mo>\n <mo>&#x22C9;<!-- \u22c9 --><\/mo>\n <mo>&#x22CA;<!-- \u22ca --><\/mo>\n <mo>&#x22CB;<!-- \u22cb --><\/mo>\n <mo>&#x22CC;<!-- \u22cc --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\diagup \\diagdown \\centerdot \\ltimes \\rtimes \\leftthreetimes \\rightthreetimes \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\eqcirc \\circeq \\triangleq \\bumpeq \\Bumpeq \\doteqdot \\risingdotseq \\fallingdotseq \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\eqcirc \\circeq \\triangleq \\bumpeq \\Bumpeq \\doteqdot \\risingdotseq \\fallingdotseq \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x2256;<!-- \u2256 -->&#x2257;<!-- \u2257 -->&#x225C;<!-- \u225c -->&#x224F;<!-- \u224f -->&#x224E;<!-- \u224e -->&#x2251;<!-- \u2251 -->&#x2253;<!-- \u2253 -->&#x2252;<!-- \u2252 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\eqcirc \\circeq \\triangleq \\bumpeq \\Bumpeq \\doteqdot \\risingdotseq \\fallingdotseq \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\intercal \\barwedge \\veebar \\doublebarwedge \\between \\pitchfork \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\intercal \\barwedge \\veebar \\doublebarwedge \\between \\pitchfork \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x22BA;<!-- \u22ba --><\/mo>\n <mo>&#x22BC;<!-- \u22bc --><\/mo>\n <mo>&#x22BB;<!-- \u22bb --><\/mo>\n <mo>&#x2A5E;<!-- \u2a5e --><\/mo>\n <mo>&#x226C;<!-- \u226c -->&#x22D4;<!-- \u22d4 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\intercal \\barwedge \\veebar \\doublebarwedge \\between \\pitchfork \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\vartriangleleft \\ntriangleleft \\vartriangleright \\ntriangleright \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\vartriangleleft \\ntriangleleft \\vartriangleright \\ntriangleright \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x22B2;<!-- \u22b2 -->&#x22EA;<!-- \u22ea -->&#x22B3;<!-- \u22b3 -->&#x22EB;<!-- \u22eb --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\vartriangleleft \\ntriangleleft \\vartriangleright \\ntriangleright \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\trianglelefteq \\ntrianglelefteq \\trianglerighteq \\ntrianglerighteq \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\trianglelefteq \\ntrianglelefteq \\trianglerighteq \\ntrianglerighteq \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x22B4;<!-- \u22b4 -->&#x22EC;<!-- \u22ec -->&#x22B5;<!-- \u22b5 -->&#x22ED;<!-- \u22ed --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\trianglelefteq \\ntrianglelefteq \\trianglerighteq \\ntrianglerighteq \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "a^2",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a^{2}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a^{2}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "a_2",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a_{2}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a_{2}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "10^{30} a^{2+2}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle 10^{30}a^{2+2}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mn>10<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>30<\/mn>\n <\/mrow>\n <\/msup>\n <msup>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle 10^{30}a^{2+2}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "a_{i,j} b_{f'}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a_{i,j}b_{f'}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>,<\/mo>\n <mi>j<\/mi>\n <\/mrow>\n <\/msub>\n <msub>\n <mi>b<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msup>\n <mi>f<\/mi>\n <mo>&#x2032;<\/mo>\n <\/msup>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a_{i,j}b_{f'}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "x_2^3",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x_{2}^{3}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msubsup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x_{2}^{3}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "{x_2}^3 \\,\\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {x_{2}}^{3}\\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {x_{2}}^{3}\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "10^{10^{8}}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle 10^{10^{8}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mn>10<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msup>\n <mn>10<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>8<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle 10^{10^{8}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sideset{_1^2}{_3^4}\\prod_a^b",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sideset {_{1}^{2}}{_{3}^{4}}\\prod _{a}^{b}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mrow class=\"MJX-TeXAtom-OP\">\n <msubsup>\n <mrow class=\"MJX-TeXAtom-OP MJX-fixedlimits\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mpadded width=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mphantom>\n <mo>&#x220F;<!-- \u220f --><\/mo>\n <\/mphantom>\n <\/mrow>\n <\/mpadded>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <mspace width=\"negativethinmathspace\" \/>\n <msubsup>\n <mrow class=\"MJX-TeXAtom-OP MJX-fixedlimits\">\n <mo movablelimits=\"false\">&#x220F;<!-- \u220f --><\/mo>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>4<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>b<\/mi>\n <\/mrow>\n <\/munderover>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sideset {_{1}^{2}}{_{3}^{4}}\\prod _{a}^{b}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "{}_1^2\\!\\Omega_3^4",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {}_{1}^{2}\\!\\Omega _{3}^{4}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msubsup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <mspace width=\"negativethinmathspace\" \/>\n <msubsup>\n <mi mathvariant=\"normal\">&#x03A9;<!-- \u03a9 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>4<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {}_{1}^{2}\\!\\Omega _{3}^{4}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\overset{\\alpha}{\\omega}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\overset {\\alpha }{\\omega }}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>&#x03C9;<!-- \u03c9 --><\/mi>\n <mi>&#x03B1;<!-- \u03b1 --><\/mi>\n <\/mover>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\overset {\\alpha }{\\omega }}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\underset{\\alpha}{\\omega}",
"type": "tex",
"mml": "<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>&#x03C9;<!-- \u03c9 --><\/mi>\n <mi>&#x03B1;<!-- \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>"
},
{
"tex": "\\overset{\\alpha}{\\underset{\\gamma}{\\omega}}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\overset {\\alpha }{\\underset {\\gamma }{\\omega }}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <munder>\n <mi>&#x03C9;<!-- \u03c9 --><\/mi>\n <mi>&#x03B3;<!-- \u03b3 --><\/mi>\n <\/munder>\n <mi>&#x03B1;<!-- \u03b1 --><\/mi>\n <\/mover>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\overset {\\alpha }{\\underset {\\gamma }{\\omega }}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\stackrel{\\alpha}{\\omega}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\stackrel {\\alpha }{\\omega }}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-REL\">\n <mover>\n <mrow class=\"MJX-TeXAtom-OP MJX-fixedlimits\">\n <mi>&#x03C9;<!-- \u03c9 --><\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>&#x03B1;<!-- \u03b1 --><\/mi>\n <\/mrow>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\stackrel {\\alpha }{\\omega }}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "x', y'', f', f''",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x',y'',f',f''}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>x<\/mi>\n <mo>&#x2032;<\/mo>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>y<\/mi>\n <mo>&#x2033;<\/mo>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>f<\/mi>\n <mo>&#x2032;<\/mo>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>f<\/mi>\n <mo>&#x2033;<\/mo>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x',y'',f',f''}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "x^\\prime, y^{\\prime\\prime}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x^{\\prime },y^{\\prime \\prime }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-variant\" mathvariant=\"normal\">&#x2032;<!-- \u2032 --><\/mi>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <msup>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-variant\" mathvariant=\"normal\">&#x2032;<!-- \u2032 --><\/mi>\n <mi class=\"MJX-variant\" mathvariant=\"normal\">&#x2032;<!-- \u2032 --><\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x^{\\prime },y^{\\prime \\prime }}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\dot{x}, \\ddot{x}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\dot {x}},{\\ddot {x}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>x<\/mi>\n <mo>&#x02D9;<!-- \u02d9 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>x<\/mi>\n <mo>&#x00A8;<!-- \u00a8 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\dot {x}},{\\ddot {x}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": " \\hat a \\ \\bar b \\ \\vec c",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\hat {a}}\\ {\\bar {b}}\\ {\\vec {c}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>a<\/mi>\n <mo stretchy=\"false\">&#x005E;<!-- ^ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mtext>&#xA0;<\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>b<\/mi>\n <mo stretchy=\"false\">&#x00AF;<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mtext>&#xA0;<\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>c<\/mi>\n <mo stretchy=\"false\">&#x2192;<!-- \u2192 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\hat {a}}\\ {\\bar {b}}\\ {\\vec {c}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": " \\overrightarrow{a b} \\ \\overleftarrow{c d} \\ \\widehat{d e f}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\overrightarrow {ab}}\\ {\\overleftarrow {cd}}\\ {\\widehat {def}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mrow>\n <mo>&#x2192;<!-- \u2192 --><\/mo>\n <\/mover>\n <\/mrow>\n <mtext>&#xA0;<\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>c<\/mi>\n <mi>d<\/mi>\n <\/mrow>\n <mo>&#x2190;<!-- \u2190 --><\/mo>\n <\/mover>\n <\/mrow>\n <mtext>&#xA0;<\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>d<\/mi>\n <mi>e<\/mi>\n <mi>f<\/mi>\n <\/mrow>\n <mo>&#x005E;<!-- ^ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\overrightarrow {ab}}\\ {\\overleftarrow {cd}}\\ {\\widehat {def}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": " \\overline{g h i} \\ \\underline{j k l}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\overline {ghi}}\\ {\\underline {jkl}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>g<\/mi>\n <mi>h<\/mi>\n <mi>i<\/mi>\n <\/mrow>\n <mo accent=\"false\">&#x00AF;<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <mtext>&#xA0;<\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <munder>\n <mrow>\n <mi>j<\/mi>\n <mi>k<\/mi>\n <mi>l<\/mi>\n <\/mrow>\n <mo>&#x005F;<!-- _ --><\/mo>\n <\/munder>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\overline {ghi}}\\ {\\underline {jkl}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\overset{\\frown} {AB}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\overset {\\frown }{AB}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>A<\/mi>\n <mi>B<\/mi>\n <\/mrow>\n <mo>&#x2322;<!-- \u2322 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\overset {\\frown }{AB}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": " A \\xleftarrow{n+\\mu-1} B \\xrightarrow[T]{n\\pm i-1} C",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle A{\\xleftarrow {n+\\mu -1}}B{\\xrightarrow[{T}]{n\\pm i-1}}C}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>A<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mo>&#x2190;<\/mo>\n <mpadded width=\"+0.556em\" lspace=\"0.389em\" voffset=\".15em\">\n <mi>n<\/mi>\n <mo>+<\/mo>\n <mi>&#x03BC;<!-- \u03bc --><\/mi>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mn>1<\/mn>\n <\/mpadded>\n <\/mover>\n <\/mrow>\n <mi>B<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <munderover>\n <mo>&#x2192;<\/mo>\n <mpadded width=\"+0.611em\" lspace=\"0.278em\" voffset=\"-.24em\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>T<\/mi>\n <\/mrow>\n <\/mpadded>\n <mpadded width=\"+0.611em\" lspace=\"0.278em\" voffset=\".15em\">\n <mi>n<\/mi>\n <mo>&#x00B1;<!-- \u00b1 --><\/mo>\n <mi>i<\/mi>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mn>1<\/mn>\n <\/mpadded>\n <\/munderover>\n <\/mrow>\n <mi>C<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle A{\\xleftarrow {n+\\mu -1}}B{\\xrightarrow[{T}]{n\\pm i-1}}C}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\overbrace{ 1+2+\\cdots+100 }^{5050}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\overbrace {1+2+\\cdots +100} ^{5050}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mover>\n <mrow class=\"MJX-TeXAtom-OP MJX-fixedlimits\">\n <mover>\n <mrow>\n <mn>1<\/mn>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <mo>+<\/mo>\n <mo>&#x22EF;<!-- \u22ef --><\/mo>\n <mo>+<\/mo>\n <mn>100<\/mn>\n <\/mrow>\n <mo>&#x23DE;<!-- \u23de --><\/mo>\n <\/mover>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>5050<\/mn>\n <\/mrow>\n <\/mover>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\overbrace {1+2+\\cdots +100} ^{5050}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\underbrace{ a+b+\\cdots+z }_{26}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\underbrace {a+b+\\cdots +z} _{26}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mrow class=\"MJX-TeXAtom-OP MJX-fixedlimits\">\n <munder>\n <mrow>\n <mi>a<\/mi>\n <mo>+<\/mo>\n <mi>b<\/mi>\n <mo>+<\/mo>\n <mo>&#x22EF;<!-- \u22ef --><\/mo>\n <mo>+<\/mo>\n <mi>z<\/mi>\n <\/mrow>\n <mo>&#x23DF;<!-- \u23df --><\/mo>\n <\/munder>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>26<\/mn>\n <\/mrow>\n <\/munder>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\underbrace {a+b+\\cdots +z} _{26}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sum_{k=1}^N k^2",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sum _{k=1}^{N}k^{2}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>k<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mi>k<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sum _{k=1}^{N}k^{2}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\textstyle \\sum_{k=1}^N k^2",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\textstyle \\sum _{k=1}^{N}k^{2}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>k<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mi>k<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\textstyle \\sum _{k=1}^{N}k^{2}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\frac{\\sum_{k=1}^N k^2}{a}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\frac {\\sum _{k=1}^{N}k^{2}}{a}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>k<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mi>k<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mi>a<\/mi>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\frac {\\sum _{k=1}^{N}k^{2}}{a}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\frac{\\displaystyle \\sum_{k=1}^N k^2}{a}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\frac {\\displaystyle \\sum _{k=1}^{N}k^{2}}{a}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>k<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mi>k<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <mi>a<\/mi>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\frac {\\displaystyle \\sum _{k=1}^{N}k^{2}}{a}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\frac{\\sum\\limits^{^N}_{k=1} k^2}{a}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\frac {\\sum \\limits _{k=1}^{^{N}}k^{2}}{a}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <munderover>\n <mo movablelimits=\"false\">&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>k<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msup>\n <mi><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <\/munderover>\n <msup>\n <mi>k<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mi>a<\/mi>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\frac {\\sum \\limits _{k=1}^{^{N}}k^{2}}{a}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\prod_{i=1}^N x_i",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\prod _{i=1}^{N}x_{i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x220F;<!-- \u220f --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\prod _{i=1}^{N}x_{i}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\textstyle \\prod_{i=1}^N x_i",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\textstyle \\prod _{i=1}^{N}x_{i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x220F;<!-- \u220f --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\textstyle \\prod _{i=1}^{N}x_{i}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\coprod_{i=1}^N x_i",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\coprod _{i=1}^{N}x_{i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x2210;<!-- \u2210 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\coprod _{i=1}^{N}x_{i}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\textstyle \\coprod_{i=1}^N x_i",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\textstyle \\coprod _{i=1}^{N}x_{i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x2210;<!-- \u2210 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\textstyle \\coprod _{i=1}^{N}x_{i}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\lim_{n \\to \\infty}x_n",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\lim _{n\\to \\infty }x_{n}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo movablelimits=\"true\" form=\"prefix\">lim<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo stretchy=\"false\">&#x2192;<!-- \u2192 --><\/mo>\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munder>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\lim _{n\\to \\infty }x_{n}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\textstyle \\lim_{n \\to \\infty}x_n",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\textstyle \\lim _{n\\to \\infty }x_{n}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <munder>\n <mo movablelimits=\"true\" form=\"prefix\">lim<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo stretchy=\"false\">&#x2192;<!-- \u2192 --><\/mo>\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munder>\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\textstyle \\lim _{n\\to \\infty }x_{n}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\int\\limits_{1}^{3}\\frac{e^3\/x}{x^2}\\, dx",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int \\limits _{1}^{3}{\\frac {e^{3}\/x}{x^{2}}}\\,dx}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/munderover>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mi>x<\/mi>\n <\/mrow>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mfrac>\n <\/mrow>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int \\limits _{1}^{3}{\\frac {e^{3}\/x}{x^{2}}}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\int_{1}^{3}\\frac{e^3\/x}{x^2}\\, dx",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int _{1}^{3}{\\frac {e^{3}\/x}{x^{2}}}\\,dx}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msubsup>\n <mo>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msubsup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mi>x<\/mi>\n <\/mrow>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mfrac>\n <\/mrow>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int _{1}^{3}{\\frac {e^{3}\/x}{x^{2}}}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\textstyle \\int\\limits_{-N}^{N} e^x\\, dx",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\textstyle \\int \\limits _{-N}^{N}e^{x}\\,dx}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>N<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\textstyle \\int \\limits _{-N}^{N}e^{x}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\textstyle \\int_{-N}^{N} e^x\\, dx",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\textstyle \\int _{-N}^{N}e^{x}\\,dx}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <msubsup>\n <mo>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>N<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/msubsup>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\textstyle \\int _{-N}^{N}e^{x}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\iint\\limits_D \\, dx\\,dy",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\iint \\limits _{D}\\,dx\\,dy}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo>&#x222C;<!-- \u222c --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>D<\/mi>\n <\/mrow>\n <\/munder>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\iint \\limits _{D}\\,dx\\,dy}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\iiint\\limits_E \\, dx\\,dy\\,dz",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\iiint \\limits _{E}\\,dx\\,dy\\,dz}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo>&#x222D;<!-- \u222d --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>E<\/mi>\n <\/mrow>\n <\/munder>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>z<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\iiint \\limits _{E}\\,dx\\,dy\\,dz}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\iiiint\\limits_F \\, dx\\,dy\\,dz\\,dt",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\iiiint \\limits _{F}\\,dx\\,dy\\,dz\\,dt}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo>&#x2A0C;<!-- \u2a0c --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>F<\/mi>\n <\/mrow>\n <\/munder>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>z<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>t<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\iiiint \\limits _{F}\\,dx\\,dy\\,dz\\,dt}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\int_{(x,y)\\in C} x^3\\, dx + 4y^2\\, dy",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int _{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mo>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>&#x2208;<!-- \u2208 --><\/mo>\n <mi>C<\/mi>\n <\/mrow>\n <\/msub>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mn>4<\/mn>\n <msup>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int _{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\oint_{(x,y)\\in C} x^3\\, dx + 4y^2\\, dy",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\oint _{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mo>&#x222E;<!-- \u222e --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>&#x2208;<!-- \u2208 --><\/mo>\n <mi>C<\/mi>\n <\/mrow>\n <\/msub>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mn>4<\/mn>\n <msup>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\oint _{(x,y)\\in C}x^{3}\\,dx+4y^{2}\\,dy}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\bigcap_{i=_1}^n E_i",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\bigcap _{i=_{1}}^{n}E_{i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x22C2;<!-- \u22c2 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <msub>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>E<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\bigcap _{i=_{1}}^{n}E_{i}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\bigcup_{i=_1}^n E_i",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\bigcup _{i=_{1}}^{n}E_{i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x22C3;<!-- \u22c3 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <msub>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>E<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\bigcup _{i=_{1}}^{n}E_{i}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\frac{2}{4}=0.5",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\frac {2}{4}}=0.5}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>2<\/mn>\n <mn>4<\/mn>\n <\/mfrac>\n <\/mrow>\n <mo>=<\/mo>\n <mn>0.5<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\frac {2}{4}}=0.5}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\tfrac{2}{4} = 0.5",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\tfrac {2}{4}}=0.5}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>2<\/mn>\n <mn>4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo>=<\/mo>\n <mn>0.5<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\tfrac {2}{4}}=0.5}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\dfrac{2}{4} = 0.5 \\qquad \\dfrac{2}{c + \\dfrac{2}{d + \\dfrac{2}{4}}} = a",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\dfrac {2}{4}}=0.5\\qquad {\\dfrac {2}{c+{\\dfrac {2}{d+{\\dfrac {2}{4}}}}}}=a}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mfrac>\n <mn>2<\/mn>\n <mn>4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo>=<\/mo>\n <mn>0.5<\/mn>\n <mspace width=\"2em\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mfrac>\n <mn>2<\/mn>\n <mrow>\n <mi>c<\/mi>\n <mo>+<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mfrac>\n <mn>2<\/mn>\n <mrow>\n <mi>d<\/mi>\n <mo>+<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mfrac>\n <mn>2<\/mn>\n <mn>4<\/mn>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo>=<\/mo>\n <mi>a<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\dfrac {2}{4}}=0.5\\qquad {\\dfrac {2}{c+{\\dfrac {2}{d+{\\dfrac {2}{4}}}}}}=a}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\cfrac{2}{c + \\cfrac{2}{d + \\cfrac{2}{4}}} = a",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\cfrac {2}{c+{\\cfrac {2}{d+{\\cfrac {2}{4}}}}}}=a}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>c<\/mi>\n <mo>+<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>d<\/mi>\n <mo>+<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>4<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mo>=<\/mo>\n <mi>a<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\cfrac {2}{c+{\\cfrac {2}{d+{\\cfrac {2}{4}}}}}}=a}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\cfrac{x}{1 + \\cfrac{\\cancel{y}}{\\cancel{y}}} = \\cfrac{x}{2}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\cfrac {x}{1+{\\cfrac {\\cancel {y}}{\\cancel {y}}}}}={\\cfrac {x}{2}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <mo>+<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <menclose notation=\"updiagonalstrike\">\n <mi>y<\/mi>\n <\/menclose>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <menclose notation=\"updiagonalstrike\">\n <mi>y<\/mi>\n <\/menclose>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <mrow>\n <mpadded width=\"0\" height=\"8.6pt\" depth=\"3pt\">\n <mrow \/>\n <\/mpadded>\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\cfrac {x}{1+{\\cfrac {\\cancel {y}}{\\cancel {y}}}}}={\\cfrac {x}{2}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\binom{n}{k}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\binom {n}{k}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mrow class=\"MJX-TeXAtom-OPEN\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">(<\/mo>\n <\/mrow>\n <mfrac linethickness=\"0\">\n <mi>n<\/mi>\n <mi>k<\/mi>\n <\/mfrac>\n <mrow class=\"MJX-TeXAtom-CLOSE\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\binom {n}{k}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\tbinom{n}{k}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\tbinom {n}{k}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mrow>\n <mrow class=\"MJX-TeXAtom-OPEN\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">(<\/mo>\n <\/mrow>\n <mfrac linethickness=\"0\">\n <mi>n<\/mi>\n <mi>k<\/mi>\n <\/mfrac>\n <mrow class=\"MJX-TeXAtom-CLOSE\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\tbinom {n}{k}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\dbinom{n}{k}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\dbinom {n}{k}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mrow class=\"MJX-TeXAtom-OPEN\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">(<\/mo>\n <\/mrow>\n <mfrac linethickness=\"0\">\n <mi>n<\/mi>\n <mi>k<\/mi>\n <\/mfrac>\n <mrow class=\"MJX-TeXAtom-CLOSE\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\dbinom {n}{k}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\begin{matrix} x & y \\\\ z & v\n\\end{matrix}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{matrix}x&amp;y\\\\z&amp;v\\end{matrix}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{matrix}x&amp;y\\\\z&amp;v\\end{matrix}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\begin{vmatrix} x & y \\\\ z & v\n\\end{vmatrix}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{vmatrix}x&amp;y\\\\z&amp;v\\end{vmatrix}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>|<\/mo>\n <mtable rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo>|<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{vmatrix}x&amp;y\\\\z&amp;v\\end{vmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\begin{Vmatrix} x & y \\\\ z & v\n\\end{Vmatrix}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{Vmatrix}x&amp;y\\\\z&amp;v\\end{Vmatrix}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo symmetric=\"true\">&#x2016;<\/mo>\n <mtable rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo symmetric=\"true\">&#x2016;<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{Vmatrix}x&amp;y\\\\z&amp;v\\end{Vmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\begin{bmatrix} 0 & \\cdots & 0 \\\\ \\vdots\n& \\ddots & \\vdots \\\\ 0 & \\cdots &\n0\\end{bmatrix} ",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{bmatrix}0&amp;\\cdots &amp;0\\\\\\vdots &amp;\\ddots &amp;\\vdots \\\\0&amp;\\cdots &amp;0\\end{bmatrix}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>[<\/mo>\n <mtable rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <mtd>\n <mo>&#x22EF;<!-- \u22ef --><\/mo>\n <\/mtd>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mo>&#x22EE;<!-- \u22ee --><\/mo>\n <\/mtd>\n <mtd>\n <mo>&#x22F1;<!-- \u22f1 --><\/mo>\n <\/mtd>\n <mtd>\n <mo>&#x22EE;<!-- \u22ee --><\/mo>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <mtd>\n <mo>&#x22EF;<!-- \u22ef --><\/mo>\n <\/mtd>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo>]<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{bmatrix}0&amp;\\cdots &amp;0\\\\\\vdots &amp;\\ddots &amp;\\vdots \\\\0&amp;\\cdots &amp;0\\end{bmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\begin{Bmatrix} x & y \\\\ z & v\n\\end{Bmatrix}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{Bmatrix}x&amp;y\\\\z&amp;v\\end{Bmatrix}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>{<\/mo>\n <mtable rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo>}<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{Bmatrix}x&amp;y\\\\z&amp;v\\end{Bmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\begin{pmatrix} x & y \\\\ z & v\n\\end{pmatrix}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{pmatrix}x&amp;y\\\\z&amp;v\\end{pmatrix}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>(<\/mo>\n <mtable rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo>)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{pmatrix}x&amp;y\\\\z&amp;v\\end{pmatrix}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\n\\bigl( \\begin{smallmatrix}\na&b\\\\ c&d\n\\end{smallmatrix} \\bigr)\n",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\bigl (}{\\begin{smallmatrix}a&amp;b\\\\c&amp;d\\end{smallmatrix}}{\\bigr )}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-OPEN\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">(<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle scriptlevel=\"1\">\n <mtable rowspacing=\".2em\" columnspacing=\"0.333em\" displaystyle=\"false\">\n <mtr>\n <mtd>\n <mi>a<\/mi>\n <\/mtd>\n <mtd>\n <mi>b<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>c<\/mi>\n <\/mtd>\n <mtd>\n <mi>d<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mstyle>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-CLOSE\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\bigl (}{\\begin{smallmatrix}a&amp;b\\\\c&amp;d\\end{smallmatrix}}{\\bigr )}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "f(n) =\n\\begin{cases}\nn\/2, & \\text{if }n\\text{ is even} \\\\\n3n+1, & \\text{if }n\\text{ is odd}\n\\end{cases} ",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle f(n)={\\begin{cases}n\/2,&amp;{\\text{if }}n{\\text{ is even}}\\\\3n+1,&amp;{\\text{if }}n{\\text{ is odd}}\\end{cases}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>n<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>{<\/mo>\n <mtable columnalign=\"left left\" rowspacing=\".2em\" columnspacing=\"1em\" displaystyle=\"false\">\n <mtr>\n <mtd>\n <mi>n<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mn>2<\/mn>\n <mo>,<\/mo>\n <\/mtd>\n <mtd>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>if&#xA0;<\/mtext>\n <\/mrow>\n <mi>n<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>&#xA0;is even<\/mtext>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>3<\/mn>\n <mi>n<\/mi>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>,<\/mo>\n <\/mtd>\n <mtd>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>if&#xA0;<\/mtext>\n <\/mrow>\n <mi>n<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>&#xA0;is odd<\/mtext>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\"><\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle f(n)={\\begin{cases}n\/2,&amp;{\\text{if }}n{\\text{ is even}}\\\\3n+1,&amp;{\\text{if }}n{\\text{ is odd}}\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\n\\begin{align}\nf(x) & = (a+b)^2 \\\\\n& = a^2+2ab+b^2 \\\\\n\\end{align}\n",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{aligned}f(x)&amp;=(a+b)^{2}\\\\&amp;=a^{2}+2ab+b^{2}\\\\\\end{aligned}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"right left right left right left right left right left right left\" rowspacing=\"3pt\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\" displaystyle=\"true\">\n <mtr>\n <mtd>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>a<\/mi>\n <mo>+<\/mo>\n <mi>b<\/mi>\n <msup>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd \/>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <msup>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <mo>+<\/mo>\n <msup>\n <mi>b<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{aligned}f(x)&amp;=(a+b)^{2}\\\\&amp;=a^{2}+2ab+b^{2}\\\\\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\n\\begin{alignat}{2}\nf(x) & = (a-b)^2 \\\\\n& = a^2-2ab+b^2 \\\\\n\\end{alignat}\n",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{alignedat}{2}f(x)&amp;=(a-b)^{2}\\\\&amp;=a^{2}-2ab+b^{2}\\\\\\end{alignedat}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"right left right left\" rowspacing=\"3pt\" columnspacing=\"0em 0em 0em 0em\" displaystyle=\"true\">\n <mtr>\n <mtd>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>a<\/mi>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>b<\/mi>\n <msup>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd \/>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <msup>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mn>2<\/mn>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <mo>+<\/mo>\n <msup>\n <mi>b<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{alignedat}{2}f(x)&amp;=(a-b)^{2}\\\\&amp;=a^{2}-2ab+b^{2}\\\\\\end{alignedat}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\begin{array}{lcl}\nz & = & a \\\\\nf(x,y,z) & = & x + y + z\n\\end{array}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{array}{lcl}z&amp;=&amp;a\\\\f(x,y,z)&amp;=&amp;x+y+z\\end{array}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"left center left\" rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mo>=<\/mo>\n <\/mtd>\n <mtd>\n <mi>a<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi>y<\/mi>\n <mo>,<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <mtd>\n <mo>=<\/mo>\n <\/mtd>\n <mtd>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mi>y<\/mi>\n <mo>+<\/mo>\n <mi>z<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{array}{lcl}z&amp;=&amp;a\\\\f(x,y,z)&amp;=&amp;x+y+z\\end{array}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\begin{array}{lcr}\nz & = & a \\\\\nf(x,y,z) & = & x + y + z\n\\end{array}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{array}{lcr}z&amp;=&amp;a\\\\f(x,y,z)&amp;=&amp;x+y+z\\end{array}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"left center right\" rowspacing=\"4pt\" columnspacing=\"1em\">\n <mtr>\n <mtd>\n <mi>z<\/mi>\n <\/mtd>\n <mtd>\n <mo>=<\/mo>\n <\/mtd>\n <mtd>\n <mi>a<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>,<\/mo>\n <mi>y<\/mi>\n <mo>,<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <mtd>\n <mo>=<\/mo>\n <\/mtd>\n <mtd>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mi>y<\/mi>\n <mo>+<\/mo>\n <mi>z<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{array}{lcr}z&amp;=&amp;a\\\\f(x,y,z)&amp;=&amp;x+y+z\\end{array}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "f(x) \\,\\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle f(x)\\,\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle f(x)\\,\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "= \\sum_{n=0}^\\infty a_n x^n ",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle =\\sum _{n=0}^{\\infty }a_{n}x^{n}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>=<\/mo>\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle =\\sum _{n=0}^{\\infty }a_{n}x^{n}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "= a_0 +a_1x+a_2x^2+\\cdots",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle =a_{0}+a_{1}x+a_{2}x^{2}+\\cdots }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>=<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <mo>+<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msub>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mo>&#x22EF;<!-- \u22ef --><\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle =a_{0}+a_{1}x+a_{2}x^{2}+\\cdots }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\begin{cases} 3x + 5y + z \\\\ 7x - 2y + 4z \\\\ -6x + 3y + 2z \\end{cases}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{cases}3x+5y+z\\\\7x-2y+4z\\\\-6x+3y+2z\\end{cases}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>{<\/mo>\n <mtable columnalign=\"left left\" rowspacing=\".2em\" columnspacing=\"1em\" displaystyle=\"false\">\n <mtr>\n <mtd>\n <mn>3<\/mn>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mn>5<\/mn>\n <mi>y<\/mi>\n <mo>+<\/mo>\n <mi>z<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>7<\/mn>\n <mi>x<\/mi>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mn>2<\/mn>\n <mi>y<\/mi>\n <mo>+<\/mo>\n <mn>4<\/mn>\n <mi>z<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mn>6<\/mn>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mn>3<\/mn>\n <mi>y<\/mi>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <mi>z<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\"><\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{cases}3x+5y+z\\\\7x-2y+4z\\\\-6x+3y+2z\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\n\\begin{array}{|c|c||c|} a & b & S \\\\\n\\hline\n0&0&1\\\\\n0&1&1\\\\\n1&0&1\\\\\n1&1&0\\\\\n\\end{array}\n",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{array}{|c|c||c|}a&amp;b&amp;S\\\\\\hline 0&amp;0&amp;1\\\\0&amp;1&amp;1\\\\1&amp;0&amp;1\\\\1&amp;1&amp;0\\\\\\end{array}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <menclose notation=\"left right\">\n <mtable columnalign=\"center center center\" rowspacing=\"4pt\" columnspacing=\"1em\" rowlines=\"solid none\" columnlines=\"solid solid\">\n <mtr>\n <mtd>\n <mi>a<\/mi>\n <\/mtd>\n <mtd>\n <mi>b<\/mi>\n <\/mtd>\n <mtd>\n <mi>S<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <mtd>\n <mn>0<\/mn>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/menclose>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{array}{|c|c||c|}a&amp;b&amp;S\\\\\\hline 0&amp;0&amp;1\\\\0&amp;1&amp;1\\\\1&amp;0&amp;1\\\\1&amp;1&amp;0\\\\\\end{array}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "( \\frac{1}{2} )",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle ({\\frac {1}{2}})}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <mn>2<\/mn>\n <\/mfrac>\n <\/mrow>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle ({\\frac {1}{2}})}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left ( \\frac{1}{2} \\right )",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left({\\frac {1}{2}}\\right)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <mn>2<\/mn>\n <\/mfrac>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left({\\frac {1}{2}}\\right)}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left ( \\frac{a}{b} \\right )",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left({\\frac {a}{b}}\\right)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left({\\frac {a}{b}}\\right)}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left [ \\frac{a}{b} \\right ] \\quad \\left \\lbrack \\frac{a}{b} \\right \\rbrack",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left[{\\frac {a}{b}}\\right]\\quad \\left\\lbrack {\\frac {a}{b}}\\right\\rbrack }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>[<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>]<\/mo>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow>\n <mo>[<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>]<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left[{\\frac {a}{b}}\\right]\\quad \\left\\lbrack {\\frac {a}{b}}\\right\\rbrack }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left \\{ \\frac{a}{b} \\right \\} \\quad \\left \\lbrace \\frac{a}{b} \\right \\rbrace",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left\\{{\\frac {a}{b}}\\right\\}\\quad \\left\\lbrace {\\frac {a}{b}}\\right\\rbrace }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>{<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>}<\/mo>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow>\n <mo>{<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>}<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left\\{{\\frac {a}{b}}\\right\\}\\quad \\left\\lbrace {\\frac {a}{b}}\\right\\rbrace }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left \\langle \\frac{a}{b} \\right \\rangle",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left\\langle {\\frac {a}{b}}\\right\\rangle }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>&#x27E8;<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>&#x27E9;<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left\\langle {\\frac {a}{b}}\\right\\rangle }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left | \\frac{a}{b} \\right \\vert \\quad \\left \\Vert \\frac{c}{d} \\right \\|",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left|{\\frac {a}{b}}\\right\\vert \\quad \\left\\Vert {\\frac {c}{d}}\\right\\|}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>|<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>|<\/mo>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow>\n <mo symmetric=\"true\">&#x2016;<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>c<\/mi>\n <mi>d<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo symmetric=\"true\">&#x2016;<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left|{\\frac {a}{b}}\\right\\vert \\quad \\left\\Vert {\\frac {c}{d}}\\right\\|}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left \\lfloor \\frac{a}{b} \\right \\rfloor \\quad \\left \\lceil \\frac{c}{d} \\right \\rceil",
"type": "tex",
"mml": "<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>&#x230A;<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>&#x230B;<\/mo>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow>\n <mo>&#x2308;<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>c<\/mi>\n <mi>d<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>&#x2309;<\/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>"
},
{
"tex": "\\left \/ \\frac{a}{b} \\right \\backslash",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left\/{\\frac {a}{b}}\\right\\backslash }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\">\/<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\">\\<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left\/{\\frac {a}{b}}\\right\\backslash }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left \\uparrow \\frac{a}{b} \\right \\downarrow \\quad \\left \\Uparrow \\frac{a}{b} \\right \\Downarrow \\quad \\left \\updownarrow \\frac{a}{b} \\right \\Updownarrow",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left\\uparrow {\\frac {a}{b}}\\right\\downarrow \\quad \\left\\Uparrow {\\frac {a}{b}}\\right\\Downarrow \\quad \\left\\updownarrow {\\frac {a}{b}}\\right\\Updownarrow }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo fence=\"true\" symmetric=\"true\">&#x2191;<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo fence=\"true\" symmetric=\"true\">&#x2193;<\/mo>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow>\n <mo fence=\"true\" symmetric=\"true\">&#x21D1;<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo fence=\"true\" symmetric=\"true\">&#x21D3;<\/mo>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow>\n <mo fence=\"true\" symmetric=\"true\">&#x2195;<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo fence=\"true\" symmetric=\"true\">&#x21D5;<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left\\uparrow {\\frac {a}{b}}\\right\\downarrow \\quad \\left\\Uparrow {\\frac {a}{b}}\\right\\Downarrow \\quad \\left\\updownarrow {\\frac {a}{b}}\\right\\Updownarrow }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left [ 0,1 \\right )",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left[0,1\\right)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>[<\/mo>\n <mrow>\n <mn>0<\/mn>\n <mo>,<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left[0,1\\right)}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left \\langle \\psi \\right |",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left\\langle \\psi \\right|}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>&#x27E8;<\/mo>\n <mi>&#x03C8;<!-- \u03c8 --><\/mi>\n <mo>|<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left\\langle \\psi \\right|}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left . \\frac{A}{B} \\right \\} \\to X",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left.{\\frac {A}{B}}\\right\\}\\to X}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\"><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>A<\/mi>\n <mi>B<\/mi>\n <\/mfrac>\n <\/mrow>\n <mo>}<\/mo>\n <\/mrow>\n <mo stretchy=\"false\">&#x2192;<!-- \u2192 --><\/mo>\n <mi>X<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left.{\\frac {A}{B}}\\right\\}\\to X}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\big( \\Big( \\bigg( \\Bigg( \\dots \\Bigg] \\bigg] \\Big] \\big]",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big (}{\\Big (}{\\bigg (}{\\Bigg (}\\dots {\\Bigg ]}{\\bigg ]}{\\Big ]}{\\big ]}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">(<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">(<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">(<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">(<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>&#x2026;<!-- \u2026 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">]<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">]<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">]<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">]<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big (}{\\Big (}{\\bigg (}{\\Bigg (}\\dots {\\Bigg ]}{\\bigg ]}{\\Big ]}{\\big ]}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\big\\{ \\Big\\{ \\bigg\\{ \\Bigg\\{ \\dots \\Bigg\\rangle \\bigg\\rangle \\Big\\rangle \\big\\rangle",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big \\{}{\\Big \\{}{\\bigg \\{}{\\Bigg \\{}\\dots {\\Bigg \\rangle }{\\bigg \\rangle }{\\Big \\rangle }{\\big \\rangle }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">{<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">{<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">{<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">{<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>&#x2026;<!-- \u2026 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">&#x27E9;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">&#x27E9;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">&#x27E9;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">&#x27E9;<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big \\{}{\\Big \\{}{\\bigg \\{}{\\Bigg \\{}\\dots {\\Bigg \\rangle }{\\bigg \\rangle }{\\Big \\rangle }{\\big \\rangle }}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\big\\| \\Big\\| \\bigg\\| \\Bigg\\| \\dots \\Bigg| \\bigg| \\Big| \\big|",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big \\|}{\\Big \\|}{\\bigg \\|}{\\Bigg \\|}\\dots {\\Bigg |}{\\bigg |}{\\Big |}{\\big |}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">&#x2016;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">&#x2016;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">&#x2016;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">&#x2016;<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>&#x2026;<!-- \u2026 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">|<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">|<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">|<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">|<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big \\|}{\\Big \\|}{\\bigg \\|}{\\Bigg \\|}\\dots {\\Bigg |}{\\bigg |}{\\Big |}{\\big |}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\big\\lfloor \\Big\\lfloor \\bigg\\lfloor \\Bigg\\lfloor \\dots \\Bigg\\rceil \\bigg\\rceil \\Big\\rceil \\big\\rceil",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big \\lfloor }{\\Big \\lfloor }{\\bigg \\lfloor }{\\Bigg \\lfloor }\\dots {\\Bigg \\rceil }{\\bigg \\rceil }{\\Big \\rceil }{\\big \\rceil }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">&#x230A;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">&#x230A;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">&#x230A;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">&#x230A;<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>&#x2026;<!-- \u2026 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.470em\" minsize=\"2.470em\">&#x2309;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"2.047em\" minsize=\"2.047em\">&#x2309;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.623em\" minsize=\"1.623em\">&#x2309;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo maxsize=\"1.2em\" minsize=\"1.2em\">&#x2309;<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big \\lfloor }{\\Big \\lfloor }{\\bigg \\lfloor }{\\Bigg \\lfloor }\\dots {\\Bigg \\rceil }{\\bigg \\rceil }{\\Big \\rceil }{\\big \\rceil }}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\big\\uparrow \\Big\\uparrow \\bigg\\uparrow \\Bigg\\uparrow \\dots \\Bigg\\Downarrow \\bigg\\Downarrow \\Big\\Downarrow \\big\\Downarrow",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big \\uparrow }{\\Big \\uparrow }{\\bigg \\uparrow }{\\Bigg \\uparrow }\\dots {\\Bigg \\Downarrow }{\\bigg \\Downarrow }{\\Big \\Downarrow }{\\big \\Downarrow }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">&#x2191;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">&#x2191;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">&#x2191;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">&#x2191;<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>&#x22EF;<!-- \u22ef --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">&#x21D3;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">&#x21D3;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">&#x21D3;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">&#x21D3;<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big \\uparrow }{\\Big \\uparrow }{\\bigg \\uparrow }{\\Bigg \\uparrow }\\dots {\\Bigg \\Downarrow }{\\bigg \\Downarrow }{\\Big \\Downarrow }{\\big \\Downarrow }}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\big\\updownarrow \\Big\\updownarrow \\bigg\\updownarrow \\Bigg\\updownarrow \\dots \\Bigg\\Updownarrow \\bigg\\Updownarrow \\Big\\Updownarrow \\big\\Updownarrow",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big \\updownarrow }{\\Big \\updownarrow }{\\bigg \\updownarrow }{\\Bigg \\updownarrow }\\dots {\\Bigg \\Updownarrow }{\\bigg \\Updownarrow }{\\Big \\Updownarrow }{\\big \\Updownarrow }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">&#x2195;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">&#x2195;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">&#x2195;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">&#x2195;<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>&#x22EF;<!-- \u22ef --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">&#x21D5;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">&#x21D5;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">&#x21D5;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">&#x21D5;<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big \\updownarrow }{\\Big \\updownarrow }{\\bigg \\updownarrow }{\\Bigg \\updownarrow }\\dots {\\Bigg \\Updownarrow }{\\bigg \\Updownarrow }{\\Big \\Updownarrow }{\\big \\Updownarrow }}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\big \/ \\Big \/ \\bigg \/ \\Bigg \/ \\dots \\Bigg\\backslash \\bigg\\backslash \\Big\\backslash \\big\\backslash",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\big \/}{\\Big \/}{\\bigg \/}{\\Bigg \/}\\dots {\\Bigg \\backslash }{\\bigg \\backslash }{\\Big \\backslash }{\\big \\backslash }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">\/<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">\/<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">\/<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">\/<\/mo>\n <\/mrow>\n <\/mrow>\n <mo>&#x2026;<!-- \u2026 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"2.470em\" minsize=\"2.470em\">\\<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"2.047em\" minsize=\"2.047em\">\\<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"1.623em\" minsize=\"1.623em\">\\<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\" maxsize=\"1.2em\" minsize=\"1.2em\">\\<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\big \/}{\\Big \/}{\\bigg \/}{\\Bigg \/}\\dots {\\Bigg \\backslash }{\\bigg \\backslash }{\\Big \\backslash }{\\big \\backslash }}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "x^2 + y^2 + z^2 = 1 \\,",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x^{2}+y^{2}+z^{2}=1\\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <msup>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <msup>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x^{2}+y^{2}+z^{2}=1\\,}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "x^2 + y^2 + z^2 = 1 \\,",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x^{2}+y^{2}+z^{2}=1\\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <msup>\n <mi>y<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <msup>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x^{2}+y^{2}+z^{2}=1\\,}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\Alpha \\Beta \\Gamma \\Delta \\Epsilon \\Zeta \\Eta \\Theta \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">A<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">B<\/mi>\n <\/mrow>\n <mi mathvariant=\"normal\">&#x0393;<!-- \u0393 --><\/mi>\n <mi mathvariant=\"normal\">&#x0394;<!-- \u0394 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">E<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">Z<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">H<\/mi>\n <\/mrow>\n <mi mathvariant=\"normal\">&#x0398;<!-- \u0398 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Pi \\Rho \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">I<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">K<\/mi>\n <\/mrow>\n <mi mathvariant=\"normal\">&#x039B;<!-- \u039b --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">M<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">N<\/mi>\n <\/mrow>\n <mi mathvariant=\"normal\">&#x039E;<!-- \u039e --><\/mi>\n <mi mathvariant=\"normal\">&#x03A0;<!-- \u03a0 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">P<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\Sigma \\Tau \\Upsilon \\Phi \\Chi \\Psi \\Omega \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">&#x03A3;<!-- \u03a3 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">T<\/mi>\n <\/mrow>\n <mi mathvariant=\"normal\">&#x03A5;<!-- \u03a5 --><\/mi>\n <mi mathvariant=\"normal\">&#x03A6;<!-- \u03a6 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">X<\/mi>\n <\/mrow>\n <mi mathvariant=\"normal\">&#x03A8;<!-- \u03a8 --><\/mi>\n <mi mathvariant=\"normal\">&#x03A9;<!-- \u03a9 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>&#x03B1;<!-- \u03b1 --><\/mi>\n <mi>&#x03B2;<!-- \u03b2 --><\/mi>\n <mi>&#x03B3;<!-- \u03b3 --><\/mi>\n <mi>&#x03B4;<!-- \u03b4 --><\/mi>\n <mi>&#x03F5;<!-- \u03f5 --><\/mi>\n <mi>&#x03B6;<!-- \u03b6 --><\/mi>\n <mi>&#x03B7;<!-- \u03b7 --><\/mi>\n <mi>&#x03B8;<!-- \u03b8 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>&#x03B9;<!-- \u03b9 --><\/mi>\n <mi>&#x03BA;<!-- \u03ba --><\/mi>\n <mi>&#x03BB;<!-- \u03bb --><\/mi>\n <mi>&#x03BC;<!-- \u03bc --><\/mi>\n <mi>&#x03BD;<!-- \u03bd --><\/mi>\n <mi>&#x03BE;<!-- \u03be --><\/mi>\n <mi>&#x03C0;<!-- \u03c0 --><\/mi>\n <mi>&#x03C1;<!-- \u03c1 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>&#x03C3;<!-- \u03c3 --><\/mi>\n <mi>&#x03C4;<!-- \u03c4 --><\/mi>\n <mi>&#x03C5;<!-- \u03c5 --><\/mi>\n <mi>&#x03D5;<!-- \u03d5 --><\/mi>\n <mi>&#x03C7;<!-- \u03c7 --><\/mi>\n <mi>&#x03C8;<!-- \u03c8 --><\/mi>\n <mi>&#x03C9;<!-- \u03c9 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\varepsilon \\digamma \\varkappa \\varpi \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\varepsilon \\digamma \\varkappa \\varpi \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>&#x03B5;<!-- \u03b5 --><\/mi>\n <mi>&#x03DD;<!-- \u03dd --><\/mi>\n <mi>&#x03F0;<!-- \u03f0 --><\/mi>\n <mi>&#x03D6;<!-- \u03d6 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\varepsilon \\digamma \\varkappa \\varpi \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\varrho \\varsigma \\vartheta \\varphi \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\varrho \\varsigma \\vartheta \\varphi \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>&#x03F1;<!-- \u03f1 --><\/mi>\n <mi>&#x03C2;<!-- \u03c2 --><\/mi>\n <mi>&#x03D1;<!-- \u03d1 --><\/mi>\n <mi>&#x03C6;<!-- \u03c6 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\varrho \\varsigma \\vartheta \\varphi \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\aleph \\beth \\gimel \\daleth \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\aleph \\beth \\gimel \\daleth \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi mathvariant=\"normal\">&#x2135;<!-- \u2135 --><\/mi>\n <mi>&#x2136;<!-- \u2136 --><\/mi>\n <mi>&#x2137;<!-- \u2137 --><\/mi>\n <mi>&#x2138;<!-- \u2138 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\aleph \\beth \\gimel \\daleth \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathbb{ABCDEFGHI} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbb {ABCDEFGHI} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"double-struck\">A<\/mi>\n <mi mathvariant=\"double-struck\">B<\/mi>\n <mi mathvariant=\"double-struck\">C<\/mi>\n <mi mathvariant=\"double-struck\">D<\/mi>\n <mi mathvariant=\"double-struck\">E<\/mi>\n <mi mathvariant=\"double-struck\">F<\/mi>\n <mi mathvariant=\"double-struck\">G<\/mi>\n <mi mathvariant=\"double-struck\">H<\/mi>\n <mi mathvariant=\"double-struck\">I<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbb {ABCDEFGHI} \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathbb{JKLMNOPQR} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbb {JKLMNOPQR} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"double-struck\">J<\/mi>\n <mi mathvariant=\"double-struck\">K<\/mi>\n <mi mathvariant=\"double-struck\">L<\/mi>\n <mi mathvariant=\"double-struck\">M<\/mi>\n <mi mathvariant=\"double-struck\">N<\/mi>\n <mi mathvariant=\"double-struck\">O<\/mi>\n <mi mathvariant=\"double-struck\">P<\/mi>\n <mi mathvariant=\"double-struck\">Q<\/mi>\n <mi mathvariant=\"double-struck\">R<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbb {JKLMNOPQR} \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathbb{STUVWXYZ} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbb {STUVWXYZ} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"double-struck\">S<\/mi>\n <mi mathvariant=\"double-struck\">T<\/mi>\n <mi mathvariant=\"double-struck\">U<\/mi>\n <mi mathvariant=\"double-struck\">V<\/mi>\n <mi mathvariant=\"double-struck\">W<\/mi>\n <mi mathvariant=\"double-struck\">X<\/mi>\n <mi mathvariant=\"double-struck\">Y<\/mi>\n <mi mathvariant=\"double-struck\">Z<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbb {STUVWXYZ} \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathbf{ABCDEFGHI} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbf {ABCDEFGHI} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">A<\/mi>\n <mi mathvariant=\"bold\">B<\/mi>\n <mi mathvariant=\"bold\">C<\/mi>\n <mi mathvariant=\"bold\">D<\/mi>\n <mi mathvariant=\"bold\">E<\/mi>\n <mi mathvariant=\"bold\">F<\/mi>\n <mi mathvariant=\"bold\">G<\/mi>\n <mi mathvariant=\"bold\">H<\/mi>\n <mi mathvariant=\"bold\">I<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbf {ABCDEFGHI} \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathbf{JKLMNOPQR} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathbf {JKLMNOPQR} \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">J<\/mi>\n <mi mathvariant=\"bold\">K<\/mi>\n <mi mathvariant=\"bold\">L<\/mi>\n <mi mathvariant=\"bold\">M<\/mi>\n <mi mathvariant=\"bold\">N<\/mi>\n <mi mathvariant=\"bold\">O<\/mi>\n <mi mathvariant=\"bold\">P<\/mi>\n <mi mathvariant=\"bold\">Q<\/mi>\n <mi mathvariant=\"bold\">R<\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathbf {JKLMNOPQR} \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathbf{STUVWXYZ} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathbf{abcdefghijklm} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathbf{nopqrstuvwxyz} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathbf{0123456789} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\boldsymbol{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta} \\!",
"type": "tex",
"mml": "<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\">&#x0393;<!-- \u0393 --><\/mi>\n <mi mathvariant=\"bold\">&#x0394;<!-- \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\">&#x0398;<!-- \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>"
},
{
"tex": "\\boldsymbol{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho} \\!",
"type": "tex",
"mml": "<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\">&#x039B;<!-- \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\">&#x039E;<!-- \u039e --><\/mi>\n <mi mathvariant=\"bold\">&#x03A0;<!-- \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>"
},
{
"tex": "\\boldsymbol{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">&#x03A3;<!-- \u03a3 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">T<\/mi>\n <\/mrow>\n <mi mathvariant=\"bold\">&#x03A5;<!-- \u03a5 --><\/mi>\n <mi mathvariant=\"bold\">&#x03A6;<!-- \u03a6 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">X<\/mi>\n <\/mrow>\n <mi mathvariant=\"bold\">&#x03A8;<!-- \u03a8 --><\/mi>\n <mi mathvariant=\"bold\">&#x03A9;<!-- \u03a9 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\boldsymbol{\\alpha\\beta\\gamma\\delta\\epsilon\\zeta\\eta\\theta} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">&#x03B1;<!-- \u03b1 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03B2;<!-- \u03b2 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03B3;<!-- \u03b3 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03B4;<!-- \u03b4 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03F5;<!-- \u03f5 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03B6;<!-- \u03b6 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03B7;<!-- \u03b7 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03B8;<!-- \u03b8 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\alpha \\beta \\gamma \\delta \\epsilon \\zeta \\eta \\theta }}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\boldsymbol{\\iota\\kappa\\lambda\\mu\\nu\\xi\\pi\\rho} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">&#x03B9;<!-- \u03b9 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03BA;<!-- \u03ba --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03BB;<!-- \u03bb --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03BC;<!-- \u03bc --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03BD;<!-- \u03bd --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03BE;<!-- \u03be --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03C0;<!-- \u03c0 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03C1;<!-- \u03c1 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\iota \\kappa \\lambda \\mu \\nu \\xi \\pi \\rho }}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\boldsymbol{\\sigma\\tau\\upsilon\\phi\\chi\\psi\\omega} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">&#x03C3;<!-- \u03c3 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03C4;<!-- \u03c4 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03C5;<!-- \u03c5 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03D5;<!-- \u03d5 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03C7;<!-- \u03c7 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03C8;<!-- \u03c8 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03C9;<!-- \u03c9 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\sigma \\tau \\upsilon \\phi \\chi \\psi \\omega }}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\boldsymbol{\\varepsilon\\digamma\\varkappa\\varpi} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\varepsilon \\digamma \\varkappa \\varpi }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">&#x03B5;<!-- \u03b5 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03DD;<!-- \u03dd --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03F0;<!-- \u03f0 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03D6;<!-- \u03d6 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\varepsilon \\digamma \\varkappa \\varpi }}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\boldsymbol{\\varrho\\varsigma\\vartheta\\varphi} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\boldsymbol {\\varrho \\varsigma \\vartheta \\varphi }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">&#x03F1;<!-- \u03f1 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03C2;<!-- \u03c2 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03D1;<!-- \u03d1 --><\/mi>\n <mi mathvariant=\"bold-italic\">&#x03C6;<!-- \u03c6 --><\/mi>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\boldsymbol {\\varrho \\varsigma \\vartheta \\varphi }}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathit{0123456789} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathit {0123456789}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn class=\"MJX-tex-mathit\" mathvariant=\"italic\">0123456789<\/mn>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathit {0123456789}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathit{\\Alpha\\Beta\\Gamma\\Delta\\Epsilon\\Zeta\\Eta\\Theta} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathit {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">A<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">B<\/mi>\n <\/mrow>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">&#x0393;<!-- \u0393 --><\/mi>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">&#x0394;<!-- \u0394 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">E<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">Z<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">H<\/mi>\n <\/mrow>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">&#x0398;<!-- \u0398 --><\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathit {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathit{\\Iota\\Kappa\\Lambda\\Mu\\Nu\\Xi\\Pi\\Rho} \\!",
"type": "tex",
"mml": "<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\">&#x039B;<!-- \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\">&#x039E;<!-- \u039e --><\/mi>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">&#x03A0;<!-- \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>"
},
{
"tex": "\\mathit{\\Sigma\\Tau\\Upsilon\\Phi\\Chi\\Psi\\Omega} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathit {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">&#x03A3;<!-- \u03a3 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">T<\/mi>\n <\/mrow>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">&#x03A5;<!-- \u03a5 --><\/mi>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">&#x03A6;<!-- \u03a6 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">X<\/mi>\n <\/mrow>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">&#x03A8;<!-- \u03a8 --><\/mi>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">&#x03A9;<!-- \u03a9 --><\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathit {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathrm{ABCDEFGHI} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathrm{JKLMNOPQR} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathrm{STUVWXYZ} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathrm{abcdefghijklm} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathrm{nopqrstuvwxyz} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathrm{0123456789} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathsf{ABCDEFGHI} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathsf{JKLMNOPQR} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathsf{STUVWXYZ} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathsf{abcdefghijklm} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathsf{nopqrstuvwxyz} \\!",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\mathsf{0123456789} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {0123456789}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn mathvariant=\"sans-serif\">0123456789<\/mn>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {0123456789}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathsf{\\Alpha \\Beta \\Gamma \\Delta \\Epsilon \\Zeta \\Eta \\Theta} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">A<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">B<\/mi>\n <\/mrow>\n <mi mathvariant=\"sans-serif\">&#x0393;<!-- \u0393 --><\/mi>\n <mi mathvariant=\"sans-serif\">&#x0394;<!-- \u0394 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">E<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">Z<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">H<\/mi>\n <\/mrow>\n <mi mathvariant=\"sans-serif\">&#x0398;<!-- \u0398 --><\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {\\mathrm {A} \\mathrm {B} \\Gamma \\Delta \\mathrm {E} \\mathrm {Z} \\mathrm {H} \\Theta }}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathsf{\\Iota \\Kappa \\Lambda \\Mu \\Nu \\Xi \\Pi \\Rho} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {\\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">I<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">K<\/mi>\n <\/mrow>\n <mi mathvariant=\"sans-serif\">&#x039B;<!-- \u039b --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">M<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">N<\/mi>\n <\/mrow>\n <mi mathvariant=\"sans-serif\">&#x039E;<!-- \u039e --><\/mi>\n <mi mathvariant=\"sans-serif\">&#x03A0;<!-- \u03a0 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">P<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {\\mathrm {I} \\mathrm {K} \\Lambda \\mathrm {M} \\mathrm {N} \\Xi \\Pi \\mathrm {P} }}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathsf{\\Sigma \\Tau \\Upsilon \\Phi \\Chi \\Psi \\Omega}\\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathsf {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">&#x03A3;<!-- \u03a3 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">T<\/mi>\n <\/mrow>\n <mi mathvariant=\"sans-serif\">&#x03A5;<!-- \u03a5 --><\/mi>\n <mi mathvariant=\"sans-serif\">&#x03A6;<!-- \u03a6 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">X<\/mi>\n <\/mrow>\n <mi mathvariant=\"sans-serif\">&#x03A8;<!-- \u03a8 --><\/mi>\n <mi mathvariant=\"sans-serif\">&#x03A9;<!-- \u03a9 --><\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathsf {\\Sigma \\mathrm {T} \\Upsilon \\Phi \\mathrm {X} \\Psi \\Omega }}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathcal{ABCDEFGHI} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathcal {ABCDEFGHI}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">A<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">B<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">C<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">D<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">E<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">F<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">G<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">H<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">I<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathcal {ABCDEFGHI}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathcal{JKLMNOPQR} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathcal {JKLMNOPQR}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">J<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">K<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">L<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">M<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">N<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">O<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">P<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">Q<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">R<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathcal {JKLMNOPQR}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathcal{STUVWXYZ} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathcal {STUVWXYZ}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">S<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">T<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">U<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">V<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">W<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">X<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">Y<\/mi>\n <mi class=\"MJX-tex-caligraphic\" mathvariant=\"script\">Z<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathcal {STUVWXYZ}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathfrak{ABCDEFGHI} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathfrak {ABCDEFGHI}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"fraktur\">A<\/mi>\n <mi mathvariant=\"fraktur\">B<\/mi>\n <mi mathvariant=\"fraktur\">C<\/mi>\n <mi mathvariant=\"fraktur\">D<\/mi>\n <mi mathvariant=\"fraktur\">E<\/mi>\n <mi mathvariant=\"fraktur\">F<\/mi>\n <mi mathvariant=\"fraktur\">G<\/mi>\n <mi mathvariant=\"fraktur\">H<\/mi>\n <mi mathvariant=\"fraktur\">I<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathfrak {ABCDEFGHI}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathfrak{JKLMNOPQR} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathfrak {JKLMNOPQR}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"fraktur\">J<\/mi>\n <mi mathvariant=\"fraktur\">K<\/mi>\n <mi mathvariant=\"fraktur\">L<\/mi>\n <mi mathvariant=\"fraktur\">M<\/mi>\n <mi mathvariant=\"fraktur\">N<\/mi>\n <mi mathvariant=\"fraktur\">O<\/mi>\n <mi mathvariant=\"fraktur\">P<\/mi>\n <mi mathvariant=\"fraktur\">Q<\/mi>\n <mi mathvariant=\"fraktur\">R<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathfrak {JKLMNOPQR}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathfrak{STUVWXYZ} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathfrak {STUVWXYZ}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"fraktur\">S<\/mi>\n <mi mathvariant=\"fraktur\">T<\/mi>\n <mi mathvariant=\"fraktur\">U<\/mi>\n <mi mathvariant=\"fraktur\">V<\/mi>\n <mi mathvariant=\"fraktur\">W<\/mi>\n <mi mathvariant=\"fraktur\">X<\/mi>\n <mi mathvariant=\"fraktur\">Y<\/mi>\n <mi mathvariant=\"fraktur\">Z<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathfrak {STUVWXYZ}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathfrak{abcdefghijklm} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathfrak {abcdefghijklm}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"fraktur\">a<\/mi>\n <mi mathvariant=\"fraktur\">b<\/mi>\n <mi mathvariant=\"fraktur\">c<\/mi>\n <mi mathvariant=\"fraktur\">d<\/mi>\n <mi mathvariant=\"fraktur\">e<\/mi>\n <mi mathvariant=\"fraktur\">f<\/mi>\n <mi mathvariant=\"fraktur\">g<\/mi>\n <mi mathvariant=\"fraktur\">h<\/mi>\n <mi mathvariant=\"fraktur\">i<\/mi>\n <mi mathvariant=\"fraktur\">j<\/mi>\n <mi mathvariant=\"fraktur\">k<\/mi>\n <mi mathvariant=\"fraktur\">l<\/mi>\n <mi mathvariant=\"fraktur\">m<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathfrak {abcdefghijklm}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathfrak{nopqrstuvwxyz} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathfrak {nopqrstuvwxyz}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"fraktur\">n<\/mi>\n <mi mathvariant=\"fraktur\">o<\/mi>\n <mi mathvariant=\"fraktur\">p<\/mi>\n <mi mathvariant=\"fraktur\">q<\/mi>\n <mi mathvariant=\"fraktur\">r<\/mi>\n <mi mathvariant=\"fraktur\">s<\/mi>\n <mi mathvariant=\"fraktur\">t<\/mi>\n <mi mathvariant=\"fraktur\">u<\/mi>\n <mi mathvariant=\"fraktur\">v<\/mi>\n <mi mathvariant=\"fraktur\">w<\/mi>\n <mi mathvariant=\"fraktur\">x<\/mi>\n <mi mathvariant=\"fraktur\">y<\/mi>\n <mi mathvariant=\"fraktur\">z<\/mi>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathfrak {nopqrstuvwxyz}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathfrak{0123456789} \\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathfrak {0123456789}}\\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn mathvariant=\"fraktur\">0123456789<\/mn>\n <\/mrow>\n <\/mrow>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathfrak {0123456789}}\\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "x y z",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle xyz}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>x<\/mi>\n <mi>y<\/mi>\n <mi>z<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle xyz}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\text{x y z}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{x y z}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>x y z<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{x y z}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\text{if} n \\text{is even}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{if}}n{\\text{is even}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>if<\/mtext>\n <\/mrow>\n <mi>n<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>is even<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{if}}n{\\text{is even}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\text{if }n\\text{ is even}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{if }}n{\\text{ is even}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>if&#xA0;<\/mtext>\n <\/mrow>\n <mi>n<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>&#xA0;is even<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{if }}n{\\text{ is even}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\text{if}~n\\ \\text{is even}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{if}}~n\\ {\\text{is even}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>if<\/mtext>\n <\/mrow>\n <mtext>&#xA0;<\/mtext>\n <mi>n<\/mi>\n <mtext>&#xA0;<\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>is even<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{if}}~n\\ {\\text{is even}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "{\\color{Blue}x^2}+{\\color{YellowOrange}2x}-{\\color{OliveGreen}1}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\color {Blue}x^{2}}+{\\color {YellowOrange}2x}-{\\color {OliveGreen}1}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle mathcolor=\"#2D2F92\">\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <mo>+<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle mathcolor=\"#FAA21A\">\n <mn>2<\/mn>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle mathcolor=\"#3C8031\">\n <mn>1<\/mn>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\color {Blue}x^{2}}+{\\color {YellowOrange}2x}-{\\color {OliveGreen}1}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "x_{1,2}=\\frac{-b\\pm\\sqrt{\\color{Red}b^2-4ac}}{2a}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x_{1,2}={\\frac {-b\\pm {\\sqrt {\\color {Red}b^{2}-4ac}}}{2a}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <mo>,<\/mo>\n <mn>2<\/mn>\n <\/mrow>\n <\/msub>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>b<\/mi>\n <mo>&#x00B1;<!-- \u00b1 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <mstyle mathcolor=\"#ED1B23\">\n <msup>\n <mi>b<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mn>4<\/mn>\n <mi>a<\/mi>\n <mi>c<\/mi>\n <\/mstyle>\n <\/msqrt>\n <\/mrow>\n <\/mrow>\n <mrow>\n <mn>2<\/mn>\n <mi>a<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x_{1,2}={\\frac {-b\\pm {\\sqrt {\\color {Red}b^{2}-4ac}}}{2a}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Apricot}\\text{Apricot}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Apricot}{\\text{Apricot}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#FBB982\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Apricot<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Apricot}{\\text{Apricot}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Aquamarine}\\text{Aquamarine}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Aquamarine}{\\text{Aquamarine}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00B5BE\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Aquamarine<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Aquamarine}{\\text{Aquamarine}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Bittersweet}\\text{Bittersweet}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Bittersweet}{\\text{Bittersweet}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#C04F17\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Bittersweet<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Bittersweet}{\\text{Bittersweet}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Black}\\text{Black}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Black}{\\text{Black}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#221E1F\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Black<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Black}{\\text{Black}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Blue}\\text{Blue}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Blue}{\\text{Blue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#2D2F92\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Blue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Blue}{\\text{Blue}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{BlueGreen}\\text{BlueGreen}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {BlueGreen}{\\text{BlueGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00B3B8\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>BlueGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {BlueGreen}{\\text{BlueGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{BlueViolet}\\text{BlueViolet}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {BlueViolet}{\\text{BlueViolet}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#473992\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>BlueViolet<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {BlueViolet}{\\text{BlueViolet}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{BrickRed}\\text{BrickRed}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{Brown}\\text{Brown}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Brown}{\\text{Brown}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#792500\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Brown<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Brown}{\\text{Brown}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{BurntOrange}\\text{BurntOrange}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {BurntOrange}{\\text{BurntOrange}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F7921D\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>BurntOrange<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {BurntOrange}{\\text{BurntOrange}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{CadetBlue}\\text{CadetBlue}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {CadetBlue}{\\text{CadetBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#74729A\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>CadetBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {CadetBlue}{\\text{CadetBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{CarnationPink}\\text{CarnationPink}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {CarnationPink}{\\text{CarnationPink}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F282B4\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>CarnationPink<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {CarnationPink}{\\text{CarnationPink}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Cerulean}\\text{Cerulean}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Cerulean}{\\text{Cerulean}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00A2E3\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Cerulean<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Cerulean}{\\text{Cerulean}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{CornflowerBlue}\\text{CornflowerBlue}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {CornflowerBlue}{\\text{CornflowerBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#41B0E4\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>CornflowerBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {CornflowerBlue}{\\text{CornflowerBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Cyan}\\text{Cyan}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{Dandelion}\\text{Dandelion}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{DarkOrchid}\\text{DarkOrchid}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{Emerald}\\text{Emerald}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{ForestGreen}\\text{ForestGreen}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{Fuchsia}\\text{Fuchsia}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{Goldenrod}\\text{Goldenrod}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Goldenrod}{\\text{Goldenrod}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#FFDF42\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Goldenrod<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Goldenrod}{\\text{Goldenrod}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Gray}\\text{Gray}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Gray}{\\text{Gray}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#949698\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Gray<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Gray}{\\text{Gray}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Green}\\text{Green}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Green}{\\text{Green}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00A64F\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Green<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Green}{\\text{Green}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{GreenYellow}\\text{GreenYellow}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {GreenYellow}{\\text{GreenYellow}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#DFE674\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>GreenYellow<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {GreenYellow}{\\text{GreenYellow}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{JungleGreen}\\text{JungleGreen}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {JungleGreen}{\\text{JungleGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#00A99A\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>JungleGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {JungleGreen}{\\text{JungleGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Lavender}\\text{Lavender}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Lavender}{\\text{Lavender}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F49EC4\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Lavender<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Lavender}{\\text{Lavender}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{LimeGreen}\\text{LimeGreen}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {LimeGreen}{\\text{LimeGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#8DC73E\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>LimeGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {LimeGreen}{\\text{LimeGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Magenta}\\text{Magenta}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Magenta}{\\text{Magenta}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#EC008C\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Magenta<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Magenta}{\\text{Magenta}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Mahogany}\\text{Mahogany}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{Maroon}\\text{Maroon}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{Melon}\\text{Melon}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Melon}{\\text{Melon}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F89E7B\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Melon<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Melon}{\\text{Melon}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{MidnightBlue}\\text{MidnightBlue}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {MidnightBlue}{\\text{MidnightBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#006795\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>MidnightBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {MidnightBlue}{\\text{MidnightBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Mulberry}\\text{Mulberry}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Mulberry}{\\text{Mulberry}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#A93C93\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Mulberry<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Mulberry}{\\text{Mulberry}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{NavyBlue}\\text{NavyBlue}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {NavyBlue}{\\text{NavyBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#006EB8\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>NavyBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {NavyBlue}{\\text{NavyBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{OliveGreen}\\text{OliveGreen}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {OliveGreen}{\\text{OliveGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#3C8031\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>OliveGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {OliveGreen}{\\text{OliveGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Orange}\\text{Orange}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{OrangeRed}\\text{OrangeRed}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {OrangeRed}{\\text{OrangeRed}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#ED135A\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>OrangeRed<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {OrangeRed}{\\text{OrangeRed}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Orchid}\\text{Orchid}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{Peach}\\text{Peach}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{Periwinkle}\\text{Periwinkle}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Periwinkle}{\\text{Periwinkle}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#7977B8\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Periwinkle<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Periwinkle}{\\text{Periwinkle}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{PineGreen}\\text{PineGreen}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {PineGreen}{\\text{PineGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#008B72\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>PineGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {PineGreen}{\\text{PineGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Plum}\\text{Plum}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Plum}{\\text{Plum}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#92268F\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Plum<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Plum}{\\text{Plum}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{ProcessBlue}\\text{ProcessBlue}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{Purple}\\text{Purple}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Purple}{\\text{Purple}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#99479B\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Purple<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Purple}{\\text{Purple}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{RawSienna}\\text{RawSienna}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {RawSienna}{\\text{RawSienna}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#974006\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>RawSienna<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {RawSienna}{\\text{RawSienna}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Red}\\text{Red}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{RedOrange}\\text{RedOrange}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{RedViolet}\\text{RedViolet}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{Rhodamine}\\text{Rhodamine}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Rhodamine}{\\text{Rhodamine}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#EF559F\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Rhodamine<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Rhodamine}{\\text{Rhodamine}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{RoyalBlue}\\text{RoyalBlue}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {RoyalBlue}{\\text{RoyalBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#0071BC\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>RoyalBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {RoyalBlue}{\\text{RoyalBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{RoyalPurple}\\text{RoyalPurple}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {RoyalPurple}{\\text{RoyalPurple}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#613F99\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>RoyalPurple<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {RoyalPurple}{\\text{RoyalPurple}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{RubineRed}\\text{RubineRed}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {RubineRed}{\\text{RubineRed}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#ED017D\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>RubineRed<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {RubineRed}{\\text{RubineRed}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Salmon}\\text{Salmon}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Salmon}{\\text{Salmon}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#F69289\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Salmon<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Salmon}{\\text{Salmon}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{SeaGreen}\\text{SeaGreen}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {SeaGreen}{\\text{SeaGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#3FBC9D\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>SeaGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {SeaGreen}{\\text{SeaGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Sepia}\\text{Sepia}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {Sepia}{\\text{Sepia}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#671800\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>Sepia<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {Sepia}{\\text{Sepia}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{SkyBlue}\\text{SkyBlue}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {SkyBlue}{\\text{SkyBlue}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#46C5DD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>SkyBlue<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {SkyBlue}{\\text{SkyBlue}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{SpringGreen}\\text{SpringGreen}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\color {SpringGreen}{\\text{SpringGreen}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mstyle mathcolor=\"#C6DC67\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>SpringGreen<\/mtext>\n <\/mrow>\n <\/mstyle>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\color {SpringGreen}{\\text{SpringGreen}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\color{Tan}\\text{Tan}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{TealBlue}\\text{TealBlue}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\color{Thistle}\\text{Thistle}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "a \\qquad b",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\qquad b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mspace width=\"2em\" \/>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\qquad b}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "a \\quad b",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\quad b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mspace width=\"1em\" \/>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\quad b}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "a\\ b",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\ b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mtext>&#xA0;<\/mtext>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\ b}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "a \\mbox{ } b",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a{\\mbox{ }}b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mtext>&#xA0;<\/mtext>\n <\/mstyle>\n <\/mrow>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a{\\mbox{ }}b}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "a\\;b",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\;b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mspace width=\"thickmathspace\" \/>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\;b}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "a\\,b",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\,b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\,b}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "ab",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle ab}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle ab}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\mathit{ab}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathit {ab}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">a<\/mi>\n <mi class=\"MJX-tex-mathit\" mathvariant=\"italic\">b<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathit {ab}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "a\\!b",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle a\\!b}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <mi>b<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle a\\!b}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mn>0<\/mn>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <mo>+<\/mo>\n <mn>3<\/mn>\n <mo>+<\/mo>\n <mn>4<\/mn>\n <mo>+<\/mo>\n <mn>5<\/mn>\n <mo>+<\/mo>\n <mn>6<\/mn>\n <mo>+<\/mo>\n <mn>7<\/mn>\n <mo>+<\/mo>\n <mn>8<\/mn>\n <mo>+<\/mo>\n <mn>9<\/mn>\n <mo>+<\/mo>\n <mn>10<\/mn>\n <mo>+<\/mo>\n <mn>11<\/mn>\n <mo>+<\/mo>\n <mn>12<\/mn>\n <mo>+<\/mo>\n <mn>13<\/mn>\n <mo>+<\/mo>\n <mn>14<\/mn>\n <mo>+<\/mo>\n <mn>15<\/mn>\n <mo>+<\/mo>\n <mn>16<\/mn>\n <mo>+<\/mo>\n <mn>17<\/mn>\n <mo>+<\/mo>\n <mn>18<\/mn>\n <mo>+<\/mo>\n <mn>19<\/mn>\n <mo>+<\/mo>\n <mn>20<\/mn>\n <mo>+<\/mo>\n <mo>&#x22EF;<!-- \u22ef --><\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle 0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "{0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <mo>+<\/mo>\n <mn>1<\/mn>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <mo>+<\/mo>\n <mn>3<\/mn>\n <mo>+<\/mo>\n <mn>4<\/mn>\n <mo>+<\/mo>\n <mn>5<\/mn>\n <mo>+<\/mo>\n <mn>6<\/mn>\n <mo>+<\/mo>\n <mn>7<\/mn>\n <mo>+<\/mo>\n <mn>8<\/mn>\n <mo>+<\/mo>\n <mn>9<\/mn>\n <mo>+<\/mo>\n <mn>10<\/mn>\n <mo>+<\/mo>\n <mn>11<\/mn>\n <mo>+<\/mo>\n <mn>12<\/mn>\n <mo>+<\/mo>\n <mn>13<\/mn>\n <mo>+<\/mo>\n <mn>14<\/mn>\n <mo>+<\/mo>\n <mn>15<\/mn>\n <mo>+<\/mo>\n <mn>16<\/mn>\n <mo>+<\/mo>\n <mn>17<\/mn>\n <mo>+<\/mo>\n <mn>18<\/mn>\n <mo>+<\/mo>\n <mn>19<\/mn>\n <mo>+<\/mo>\n <mn>20<\/mn>\n <mo>+<\/mo>\n <mo>&#x22EF;<!-- \u22ef --><\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {0+1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+\\cdots }}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\int_{-N}^{N} e^x\\, dx",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int _{-N}^{N}e^{x}\\,dx}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msubsup>\n <mo>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>N<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>N<\/mi>\n <\/mrow>\n <\/msubsup>\n <msup>\n <mi>e<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int _{-N}^{N}e^{x}\\,dx}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sum_{i=0}^\\infty 2^{-i}",
"type": "inline-tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"{\\textstyle \\sum _{i=0}^{\\infty }2^{-i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mn>2<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\textstyle \\sum _{i=0}^{\\infty }2^{-i}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sum_{i=0}^\\infty 2^{-i}",
"type": "inline-tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"{\\textstyle \\sum _{i=0}^{\\infty }2^{-i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mn>2<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\textstyle \\sum _{i=0}^{\\infty }2^{-i}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\text{geometric series:}\\quad \\begin{align} \\sum_{i=0}^\\infty 2^{-i}=2 \\end{align}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{geometric series:}}\\quad {\\begin{aligned}\\sum _{i=0}^{\\infty }2^{-i}=2\\end{aligned}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>geometric series:<\/mtext>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"right left right left right left right left right left right left\" rowspacing=\"3pt\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\" displaystyle=\"true\">\n <mtr>\n <mtd>\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mn>2<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>i<\/mi>\n <\/mrow>\n <\/msup>\n <mo>=<\/mo>\n <mn>2<\/mn>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{geometric series:}}\\quad {\\begin{aligned}\\sum _{i=0}^{\\infty }2^{-i}=2\\end{aligned}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\text{geometric series:}\\quad \\sum_{i=0}^\\infty 2^{-i}=2 ",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{geometric series:}}\\quad \\sum _{i=0}^{\\infty }2^{-i}=2}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>geometric series:<\/mtext>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mn>2<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>i<\/mi>\n <\/mrow>\n <\/msup>\n <mo>=<\/mo>\n <mn>2<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{geometric series:}}\\quad \\sum _{i=0}^{\\infty }2^{-i}=2}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sum_{i=0}^\\infty 2^{-i}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sum _{i=0}^{\\infty }2^{-i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mn>2<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sum _{i=0}^{\\infty }2^{-i}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sum_{i=0}^\\infty 2^{-i}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sum _{i=0}^{\\infty }2^{-i}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mn>2<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>i<\/mi>\n <\/mrow>\n <\/msup>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sum _{i=0}^{\\infty }2^{-i}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\text{geometric series:}\\quad \\sum_{i=0}^\\infty 2^{-i}=2 ",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{geometric series:}}\\quad \\sum _{i=0}^{\\infty }2^{-i}=2}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>geometric series:<\/mtext>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mn>2<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>i<\/mi>\n <\/mrow>\n <\/msup>\n <mo>=<\/mo>\n <mn>2<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{geometric series:}}\\quad \\sum _{i=0}^{\\infty }2^{-i}=2}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\text{geometric series:}\\quad \\sum_{i=0}^\\infty 2^{-i}=2 ",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\text{geometric series:}}\\quad \\sum _{i=0}^{\\infty }2^{-i}=2}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>geometric series:<\/mtext>\n <\/mrow>\n <mspace width=\"1em\" \/>\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <msup>\n <mn>2<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>i<\/mi>\n <\/mrow>\n <\/msup>\n <mo>=<\/mo>\n <mn>2<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\text{geometric series:}}\\quad \\sum _{i=0}^{\\infty }2^{-i}=2}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\iint",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\iint }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x222C;<!-- \u222c --><\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\iint }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\oint",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\oint }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x222E;<!-- \u222e --><\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\oint }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\iint\\limits_{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset\\!\\supset \\mathbf D \\cdot \\mathrm{d}\\mathbf A",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\iint \\limits _{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset \\!\\supset \\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo>&#x222C;<!-- \u222c --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>S<\/mi>\n <\/mrow>\n <\/munder>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mo>&#x2282;<!-- \u2282 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <mo>&#x2283;<!-- \u2283 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">D<\/mi>\n <\/mrow>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">A<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\iint \\limits _{S}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\subset \\!\\supset \\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\int\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf D\\cdot\\mathrm{d}\\mathbf A",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int \\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc \\,\\,\\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x222B;<!-- \u222b --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <msub>\n <mo>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mi>V<\/mi>\n <\/mrow>\n <\/msub>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mo>&#x25EF;<!-- \u25ef --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"thinmathspace\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">D<\/mi>\n <\/mrow>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">A<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int \\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc \\,\\,\\mathbf {D} \\cdot \\mathrm {d} \\mathbf {A} }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\subset\\!\\supset \\mathbf D\\cdot\\mathrm{d}\\mathbf A",
"type": "tex",
"mml": "<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>&#x222B;<!-- \u222b --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mo>&#x222B;<!-- \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>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x2202;<!-- \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>&#x2282;<!-- \u2282 --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <mo>&#x2283;<!-- \u2283 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">D<\/mi>\n <\/mrow>\n <mo>&#x22C5;<!-- \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>"
},
{
"tex": "\\int\\!\\!\\!\\!\\!\\int\\!\\!\\!\\!\\!\\int_{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc\\,\\,\\mathbf D\\;\\cdot\\mathrm{d}\\mathbf A",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int \\!\\!\\!\\!\\!\\int \\!\\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc \\,\\,\\mathbf {D} \\;\\cdot \\mathrm {d} \\mathbf {A} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&#x222B;<!-- \u222b --><\/mo>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mo>&#x222B;<!-- \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>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mi>V<\/mi>\n <\/mrow>\n <\/msub>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mspace width=\"thickmathspace\" \/>\n <mo>&#x25EF;<!-- \u25ef --><\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mspace width=\"thinmathspace\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">D<\/mi>\n <\/mrow>\n <mspace width=\"thickmathspace\" \/>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">A<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int \\!\\!\\!\\!\\!\\int \\!\\!\\!\\!\\!\\int _{\\partial V}\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\!\\;\\;\\;\\bigcirc \\,\\,\\mathbf {D} \\;\\cdot \\mathrm {d} \\mathbf {A} }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "{\\scriptstyle S}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\scriptstyle S}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"1\">\n <mi>S<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\scriptstyle S}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "( \\nabla \\times \\bold{F} ) \\cdot {\\rm d}\\bold{S} = \\oint_{\\partial S} \\bold{F} \\cdot {\\rm d}\\boldsymbol{\\ell} ",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle (\\nabla \\times {\\mathbf {F}})\\cdot {\\rm {d}}{\\mathbf {S}}=\\oint _{\\partial S}{\\mathbf {F}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">(<\/mo>\n <mi mathvariant=\"normal\">&#x2207;<!-- \u2207 --><\/mi>\n <mo>&#x00D7;<!-- \u00d7 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">F<\/mi>\n <\/mrow>\n <\/mrow>\n <mo stretchy=\"false\">)<\/mo>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">S<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>=<\/mo>\n <msub>\n <mo>&#x222E;<!-- \u222e --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mi>S<\/mi>\n <\/mrow>\n <\/msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">F<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">&#x2113;<!-- \u2113 --><\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle (\\nabla \\times {\\mathbf {F}})\\cdot {\\rm {d}}{\\mathbf {S}}=\\oint _{\\partial S}{\\mathbf {F}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "{\\scriptstyle S}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\scriptstyle S}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"1\">\n <mi>S<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\scriptstyle S}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "( \\nabla \\times \\bold{F} ) \\cdot {\\rm d}\\bold{S} = \\oint_{\\partial S} \\bold{F} \\cdot {\\rm d}\\boldsymbol{\\ell} ",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle (\\nabla \\times {\\mathbf {F}})\\cdot {\\rm {d}}{\\mathbf {S}}=\\oint _{\\partial S}{\\mathbf {F}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo stretchy=\"false\">(<\/mo>\n <mi mathvariant=\"normal\">&#x2207;<!-- \u2207 --><\/mi>\n <mo>&#x00D7;<!-- \u00d7 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">F<\/mi>\n <\/mrow>\n <\/mrow>\n <mo stretchy=\"false\">)<\/mo>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">S<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>=<\/mo>\n <msub>\n <mo>&#x222E;<!-- \u222e --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mi>S<\/mi>\n <\/mrow>\n <\/msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">F<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">&#x2113;<!-- \u2113 --><\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle (\\nabla \\times {\\mathbf {F}})\\cdot {\\rm {d}}{\\mathbf {S}}=\\oint _{\\partial S}{\\mathbf {F}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\oint_C \\bold{B} \\cdot {\\rm d} \\boldsymbol{\\ell} = \\mu_0 ",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\oint _{C}{\\mathbf {B}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}=\\mu _{0}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mo>&#x222E;<!-- \u222e --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>C<\/mi>\n <\/mrow>\n <\/msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">B<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">&#x2113;<!-- \u2113 --><\/mi>\n <\/mrow>\n <mo>=<\/mo>\n <msub>\n <mi>&#x03BC;<!-- \u03bc --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\oint _{C}{\\mathbf {B}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}=\\mu _{0}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "{\\scriptstyle S}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\scriptstyle S}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"1\">\n <mi>S<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\scriptstyle S}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left ( \\bold{J} + \\epsilon_0\\frac{\\partial \\bold{E}}{\\partial t} \\right ) \\cdot {\\rm d}\\bold{S}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left({\\mathbf {J}}+\\epsilon _{0}{\\frac {\\partial {\\mathbf {E}}}{\\partial t}}\\right)\\cdot {\\rm {d}}{\\mathbf {S}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">J<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>+<\/mo>\n <msub>\n <mi>&#x03F5;<!-- \u03f5 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">E<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mrow>\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mi>t<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">S<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left({\\mathbf {J}}+\\epsilon _{0}{\\frac {\\partial {\\mathbf {E}}}{\\partial t}}\\right)\\cdot {\\rm {d}}{\\mathbf {S}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\oint_{\\partial S} \\bold{B} \\cdot {\\rm d} \\boldsymbol{\\ell} = \\mu_0 ",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\oint _{\\partial S}{\\mathbf {B}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}=\\mu _{0}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mrow class=\"MJX-TeXAtom-OP MJX-fixedlimits\">\n <mrow class=\"MJX-TeXAtom-VCENTER\">\n <mstyle mathsize=\"2.07em\">\n <mtext>&#x222E;<!-- \u222e --><\/mtext>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <mspace width=\"thinmathspace\" \/>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mi>S<\/mi>\n <\/mrow>\n <\/msub>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">B<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold-italic\">&#x2113;<!-- \u2113 --><\/mi>\n <\/mrow>\n <mo>=<\/mo>\n <msub>\n <mi>&#x03BC;<!-- \u03bc --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\oint _{\\partial S}{\\mathbf {B}}\\cdot {\\rm {d}}{\\boldsymbol {\\ell }}=\\mu _{0}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "{\\scriptstyle S}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\scriptstyle S}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"1\">\n <mi>S<\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\scriptstyle S}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\left ( \\bold{J} + \\epsilon_0\\frac{\\partial \\bold{E}}{\\partial t} \\right ) \\cdot {\\rm d}\\bold{S}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left({\\mathbf {J}}+\\epsilon _{0}{\\frac {\\partial {\\mathbf {E}}}{\\partial t}}\\right)\\cdot {\\rm {d}}{\\mathbf {S}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">J<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>+<\/mo>\n <msub>\n <mi>&#x03F5;<!-- \u03f5 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">E<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mrow>\n <mrow>\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mi>t<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">S<\/mi>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left({\\mathbf {J}}+\\epsilon _{0}{\\frac {\\partial {\\mathbf {E}}}{\\partial t}}\\right)\\cdot {\\rm {d}}{\\mathbf {S}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\bold{P} = ",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathbf {P}}=}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">P<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>=<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathbf {P}}=}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "{\\scriptstyle \\partial \\Omega}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\scriptstyle \\partial \\Omega }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"1\">\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mi mathvariant=\"normal\">&#x03A9;<!-- \u03a9 --><\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\scriptstyle \\partial \\Omega }}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\bold{T} \\cdot {\\rm d}^3\\boldsymbol{\\Sigma} = 0",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathbf {T}}\\cdot {\\rm {d}}^{3}{\\boldsymbol {\\Sigma }}=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">T<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">&#x03A3;<!-- \u03a3 --><\/mi>\n <\/mrow>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathbf {T}}\\cdot {\\rm {d}}^{3}{\\boldsymbol {\\Sigma }}=0}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\bold{P} = ",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathbf {P}}=}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">P<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>=<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathbf {P}}=}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "{\\scriptstyle \\partial \\Omega}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\scriptstyle \\partial \\Omega }}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"1\">\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mi mathvariant=\"normal\">&#x03A9;<!-- \u03a9 --><\/mi>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\scriptstyle \\partial \\Omega }}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\bold{T} \\cdot {\\rm d}^3\\boldsymbol{\\Sigma} = 0",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\mathbf {T}}\\cdot {\\rm {d}}^{3}{\\boldsymbol {\\Sigma }}=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">T<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>&#x22C5;<!-- \u22c5 --><\/mo>\n <msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">d<\/mi>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"bold\">&#x03A3;<!-- \u03a3 --><\/mi>\n <\/mrow>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\mathbf {T}}\\cdot {\\rm {d}}^{3}{\\boldsymbol {\\Sigma }}=0}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\overset{\\frown}{AB}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\overset {\\frown }{AB}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow>\n <mi>A<\/mi>\n <mi>B<\/mi>\n <\/mrow>\n <mo>&#x2322;<!-- \u2322 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\overset {\\frown }{AB}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "ax^2 + bx + c = 0",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle ax^{2}+bx+c=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>a<\/mi>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mi>b<\/mi>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mi>c<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle ax^{2}+bx+c=0}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "x={-b\\pm\\sqrt{b^2-4ac} \\over 2a}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle x={-b\\pm {\\sqrt {b^{2}-4ac}} \\over 2a}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>x<\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>b<\/mi>\n <mo>&#x00B1;<!-- \u00b1 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <msqrt>\n <msup>\n <mi>b<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mn>4<\/mn>\n <mi>a<\/mi>\n <mi>c<\/mi>\n <\/msqrt>\n <\/mrow>\n <\/mrow>\n <mrow>\n <mn>2<\/mn>\n <mi>a<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle x={-b\\pm {\\sqrt {b^{2}-4ac}} \\over 2a}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "2 = \\left( \\frac{\\left(3-x\\right) \\times 2}{3-x} \\right)",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle 2=\\left({\\frac {\\left(3-x\\right)\\times 2}{3-x}}\\right)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mn>2<\/mn>\n <mo>=<\/mo>\n <mrow>\n <mo>(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mn>3<\/mn>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>x<\/mi>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mo>&#x00D7;<!-- \u00d7 --><\/mo>\n <mn>2<\/mn>\n <\/mrow>\n <mrow>\n <mn>3<\/mn>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>x<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle 2=\\left({\\frac {\\left(3-x\\right)\\times 2}{3-x}}\\right)}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "S_{\\text{new}} = S_{\\text{old}} - \\frac{ \\left( 5-T \\right) ^2} {2}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle S_{\\text{new}}=S_{\\text{old}}-{\\frac {\\left(5-T\\right)^{2}}{2}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>S<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>new<\/mtext>\n <\/mrow>\n <\/msub>\n <mo>=<\/mo>\n <msub>\n <mi>S<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>old<\/mtext>\n <\/mrow>\n <\/msub>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <msup>\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mn>5<\/mn>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>T<\/mi>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mn>2<\/mn>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle S_{\\text{new}}=S_{\\text{old}}-{\\frac {\\left(5-T\\right)^{2}}{2}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\int_a^x \\!\\!\\!\\int_a^s f(y)\\,dy\\,ds = \\int_a^x f(y)(x-y)\\,dy",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\int _{a}^{x}\\!\\!\\!\\int _{a}^{s}f(y)\\,dy\\,ds=\\int _{a}^{x}f(y)(x-y)\\,dy}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msubsup>\n <mo>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/msubsup>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <mspace width=\"negativethinmathspace\" \/>\n <msubsup>\n <mo>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>s<\/mi>\n <\/mrow>\n <\/msubsup>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>s<\/mi>\n <mo>=<\/mo>\n <msubsup>\n <mo>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>a<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/msubsup>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <mi>d<\/mi>\n <mi>y<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\int _{a}^{x}\\!\\!\\!\\int _{a}^{s}f(y)\\,dy\\,ds=\\int _{a}^{x}f(y)(x-y)\\,dy}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\det(\\mathsf{A}-\\lambda\\mathsf{I}) = 0",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\det({\\mathsf {A}}-\\lambda {\\mathsf {I}})=0}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo movablelimits=\"true\" form=\"prefix\">det<\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">A<\/mi>\n <\/mrow>\n <\/mrow>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>&#x03BB;<!-- \u03bb --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"sans-serif\">I<\/mi>\n <\/mrow>\n <\/mrow>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\det({\\mathsf {A}}-\\lambda {\\mathsf {I}})=0}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sum_{i=0}^{n-1} i",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sum _{i=0}^{n-1}i}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>i<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <\/munderover>\n <mi>i<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sum _{i=0}^{n-1}i}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sum_{m=1}^\\infty\\sum_{n=1}^\\infty\\frac{m^2\\,n}{3^m\\left(m\\,3^n+n\\,3^m\\right)}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\sum _{m=1}^{\\infty }\\sum _{n=1}^{\\infty }{\\frac {m^{2}\\,n}{3^{m}\\left(m\\,3^{n}+n\\,3^{m}\\right)}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>m<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo>=<\/mo>\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <msup>\n <mi>m<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <mspace width=\"thinmathspace\" \/>\n <mi>n<\/mi>\n <\/mrow>\n <mrow>\n <msup>\n <mn>3<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>m<\/mi>\n <\/mrow>\n <\/msup>\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <mi>m<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <msup>\n <mn>3<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mo>+<\/mo>\n <mi>n<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <msup>\n <mn>3<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>m<\/mi>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sum _{m=1}^{\\infty }\\sum _{n=1}^{\\infty }{\\frac {m^{2}\\,n}{3^{m}\\left(m\\,3^{n}+n\\,3^{m}\\right)}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "u'' + p(x)u' + q(x)u=f(x),\\quad x>a",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle u''+p(x)u'+q(x)u=f(x),\\quad x&gt;a}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msup>\n <mi>u<\/mi>\n <mo>&#x2033;<\/mo>\n <\/msup>\n <mo>+<\/mo>\n <mi>p<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <msup>\n <mi>u<\/mi>\n <mo>&#x2032;<\/mo>\n <\/msup>\n <mo>+<\/mo>\n <mi>q<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mi>u<\/mi>\n <mo>=<\/mo>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>,<\/mo>\n <mspace width=\"1em\" \/>\n <mi>x<\/mi>\n <mo>&gt;<\/mo>\n <mi>a<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle u''+p(x)u'+q(x)u=f(x),\\quad x&gt;a}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "|\\bar{z}| = |z|, |(\\bar{z})^n| = |z|^n, \\arg(z^n) = n \\arg(z)",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle |{\\bar {z}}|=|z|,|({\\bar {z}})^{n}|=|z|^{n},\\arg(z^{n})=n\\arg(z)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>z<\/mi>\n <mo stretchy=\"false\">&#x00AF;<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo>,<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>z<\/mi>\n <mo stretchy=\"false\">&#x00AF;<!-- \u00af --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <msup>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mi>z<\/mi>\n <msup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo stretchy=\"false\">|<\/mo>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <mi>arg<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <msup>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msup>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mi>n<\/mi>\n <mi>arg<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle |{\\bar {z}}|=|z|,|({\\bar {z}})^{n}|=|z|^{n},\\arg(z^{n})=n\\arg(z)}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\lim_{z\\rightarrow z_0} f(z)=f(z_0)",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\lim _{z\\rightarrow z_{0}}f(z)=f(z_{0})}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <munder>\n <mo movablelimits=\"true\" form=\"prefix\">lim<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>z<\/mi>\n <mo stretchy=\"false\">&#x2192;<!-- \u2192 --><\/mo>\n <msub>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <\/munder>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>z<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\lim _{z\\rightarrow z_{0}}f(z)=f(z_{0})}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\phi_n(\\kappa)\n= \\frac{1}{4\\pi^2\\kappa^2} \\int_0^\\infty \\frac{\\sin(\\kappa R)}{\\kappa R} \\frac{\\partial}{\\partial R} \\left[R^2\\frac{\\partial D_n(R)}{\\partial R}\\right]\\,dR",
"type": "tex",
"mml": "<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>&#x03D5;<!-- \u03d5 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">(<\/mo>\n <mi>&#x03BA;<!-- \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>&#x03C0;<!-- \u03c0 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <msup>\n <mi>&#x03BA;<!-- \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>&#x222B;<!-- \u222b --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/msubsup>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mi>sin<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>&#x03BA;<!-- \u03ba --><\/mi>\n <mi>R<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mrow>\n <mrow>\n <mi>&#x03BA;<!-- \u03ba --><\/mi>\n <mi>R<\/mi>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi mathvariant=\"normal\">&#x2202;<!-- \u2202 --><\/mi>\n <mrow>\n <mi mathvariant=\"normal\">&#x2202;<!-- \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\">&#x2202;<!-- \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\">&#x2202;<!-- \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>"
},
{
"tex": "\\phi_n(\\kappa) = 0.033C_n^2\\kappa^{-11\/3},\\quad \\frac{1}{L_0}\\ll\\kappa\\ll\\frac{1}{l_0}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\phi _{n}(\\kappa )=0.033C_{n}^{2}\\kappa ^{-11\/3},\\quad {\\frac {1}{L_{0}}}\\ll \\kappa \\ll {\\frac {1}{l_{0}}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mi>&#x03D5;<!-- \u03d5 --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">(<\/mo>\n <mi>&#x03BA;<!-- \u03ba --><\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mn>0.033<\/mn>\n <msubsup>\n <mi>C<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <msup>\n <mi>&#x03BA;<!-- \u03ba --><\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mn>11<\/mn>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mn>3<\/mn>\n <\/mrow>\n <\/msup>\n <mo>,<\/mo>\n <mspace width=\"1em\" \/>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <msub>\n <mi>L<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mfrac>\n <\/mrow>\n <mo>&#x226A;<!-- \u226a --><\/mo>\n <mi>&#x03BA;<!-- \u03ba --><\/mi>\n <mo>&#x226A;<!-- \u226a --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <msub>\n <mi>l<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>0<\/mn>\n <\/mrow>\n <\/msub>\n <\/mfrac>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\phi _{n}(\\kappa )=0.033C_{n}^{2}\\kappa ^{-11\/3},\\quad {\\frac {1}{L_{0}}}\\ll \\kappa \\ll {\\frac {1}{l_{0}}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "f(x) = \\begin{cases}1 & -1 \\le x < 0 \\\\\n\\frac{1}{2} & x = 0 \\\\ 1 - x^2 & \\text{otherwise}\\end{cases}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle f(x)={\\begin{cases}1&amp;-1\\leq x&lt;0\\\\{\\frac {1}{2}}&amp;x=0\\\\1-x^{2}&amp;{\\text{otherwise}}\\end{cases}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>f<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow>\n <mo>{<\/mo>\n <mtable columnalign=\"left left\" rowspacing=\".2em\" columnspacing=\"1em\" displaystyle=\"false\">\n <mtr>\n <mtd>\n <mn>1<\/mn>\n <\/mtd>\n <mtd>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mn>1<\/mn>\n <mo>&#x2264;<!-- \u2264 --><\/mo>\n <mi>x<\/mi>\n <mo>&lt;<\/mo>\n <mn>0<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <mn>2<\/mn>\n <\/mfrac>\n <\/mrow>\n <\/mtd>\n <mtd>\n <mi>x<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mn>1<\/mn>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <msup>\n <mi>x<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mtd>\n <mtd>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtext>otherwise<\/mtext>\n <\/mrow>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <mo fence=\"true\" stretchy=\"true\" symmetric=\"true\"><\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle f(x)={\\begin{cases}1&amp;-1\\leq x&lt;0\\\\{\\frac {1}{2}}&amp;x=0\\\\1-x^{2}&amp;{\\text{otherwise}}\\end{cases}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "{}_pF_q(a_1,\\dots,a_p;c_1,\\dots,c_q;z) = \\sum_{n=0}^\\infty \\frac{(a_1)_n\\cdots(a_p)_n}{(c_1)_n\\cdots(c_q)_n}\\frac{z^n}{n!}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {}_{p}F_{q}(a_{1},\\dots ,a_{p};c_{1},\\dots ,c_{q};z)=\\sum _{n=0}^{\\infty }{\\frac {(a_{1})_{n}\\cdots (a_{p})_{n}}{(c_{1})_{n}\\cdots (c_{q})_{n}}}{\\frac {z^{n}}{n!}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <msub>\n <mrow class=\"MJX-TeXAtom-ORD\">\n\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>p<\/mi>\n <\/mrow>\n <\/msub>\n <msub>\n <mi>F<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>q<\/mi>\n <\/mrow>\n <\/msub>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <mo>,<\/mo>\n <mo>&#x2026;<!-- \u2026 --><\/mo>\n <mo>,<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>p<\/mi>\n <\/mrow>\n <\/msub>\n <mo>;<\/mo>\n <msub>\n <mi>c<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <mo>,<\/mo>\n <mo>&#x2026;<!-- \u2026 --><\/mo>\n <mo>,<\/mo>\n <msub>\n <mi>c<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>q<\/mi>\n <\/mrow>\n <\/msub>\n <mo>;<\/mo>\n <mi>z<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>=<\/mo>\n <munderover>\n <mo>&#x2211;<!-- \u2211 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <mo>=<\/mo>\n <mn>0<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi mathvariant=\"normal\">&#x221E;<!-- \u221e --><\/mi>\n <\/mrow>\n <\/munderover>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mrow>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <msub>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo>&#x22EF;<!-- \u22ef --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>a<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>p<\/mi>\n <\/mrow>\n <\/msub>\n <msub>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <mrow>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>c<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <\/msub>\n <msub>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <mo>&#x22EF;<!-- \u22ef --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <msub>\n <mi>c<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>q<\/mi>\n <\/mrow>\n <\/msub>\n <msub>\n <mo stretchy=\"false\">)<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>n<\/mi>\n <\/mrow>\n <\/msub>\n <\/mrow>\n <\/mfrac>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <msup
},
{
"tex": "\\frac{a}{b}\\ \\tfrac{a}{b}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\frac {a}{b}}\\ {\\tfrac {a}{b}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mrow>\n <mtext>&#xA0;<\/mtext>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mi>a<\/mi>\n <mi>b<\/mi>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\frac {a}{b}}\\ {\\tfrac {a}{b}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "S=dD\\,\\sin\\alpha\\!",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle S=dD\\,\\sin \\alpha \\!}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>S<\/mi>\n <mo>=<\/mo>\n <mi>d<\/mi>\n <mi>D<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <mi>sin<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>&#x03B1;<!-- \u03b1 --><\/mi>\n <mspace width=\"negativethinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle S=dD\\,\\sin \\alpha \\!}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "V=\\frac16\\pi h\\left[3\\left(r_1^2+r_2^2\\right)+h^2\\right]",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle V={\\frac {1}{6}}\\pi h\\left[3\\left(r_{1}^{2}+r_{2}^{2}\\right)+h^{2}\\right]}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>V<\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mfrac>\n <mn>1<\/mn>\n <mn>6<\/mn>\n <\/mfrac>\n <\/mrow>\n <mi>&#x03C0;<!-- \u03c0 --><\/mi>\n <mi>h<\/mi>\n <mrow>\n <mo>[<\/mo>\n <mrow>\n <mn>3<\/mn>\n <mrow>\n <mo>(<\/mo>\n <mrow>\n <msubsup>\n <mi>r<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>1<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <mo>+<\/mo>\n <msubsup>\n <mi>r<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msubsup>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <mo>+<\/mo>\n <msup>\n <mi>h<\/mi>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mn>2<\/mn>\n <\/mrow>\n <\/msup>\n <\/mrow>\n <mo>]<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle V={\\frac {1}{6}}\\pi h\\left[3\\left(r_{1}^{2}+r_{2}^{2}\\right)+h^{2}\\right]}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\begin{align}\nu & = \\tfrac{1}{\\sqrt{2}}(x+y) \\qquad & x &= \\tfrac{1}{\\sqrt{2}}(u+v)\\\\\nv & = \\tfrac{1}{\\sqrt{2}}(x-y) \\qquad & y &= \\tfrac{1}{\\sqrt{2}}(u-v)\n\\end{align}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\begin{aligned}u&amp;={\\tfrac {1}{\\sqrt {2}}}(x+y)\\qquad &amp;x&amp;={\\tfrac {1}{\\sqrt {2}}}(u+v)\\\\v&amp;={\\tfrac {1}{\\sqrt {2}}}(x-y)\\qquad &amp;y&amp;={\\tfrac {1}{\\sqrt {2}}}(u-v)\\end{aligned}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mtable columnalign=\"right left right left right left right left right left right left\" rowspacing=\"3pt\" columnspacing=\"0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em\" displaystyle=\"true\">\n <mtr>\n <mtd>\n <mi>u<\/mi>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>1<\/mn>\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>+<\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"2em\" \/>\n <\/mtd>\n <mtd>\n <mi>x<\/mi>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>1<\/mn>\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mi>u<\/mi>\n <mo>+<\/mo>\n <mi>v<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>v<\/mi>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>1<\/mn>\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>y<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"2em\" \/>\n <\/mtd>\n <mtd>\n <mi>y<\/mi>\n <\/mtd>\n <mtd>\n <mi><\/mi>\n <mo>=<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"false\" scriptlevel=\"0\">\n <mfrac>\n <mn>1<\/mn>\n <msqrt>\n <mn>2<\/mn>\n <\/msqrt>\n <\/mfrac>\n <\/mstyle>\n <\/mrow>\n <mo stretchy=\"false\">(<\/mo>\n <mi>u<\/mi>\n <mo>&#x2212;<!-- \u2212 --><\/mo>\n <mi>v<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\begin{aligned}u&amp;={\\tfrac {1}{\\sqrt {2}}}(x+y)\\qquad &amp;x&amp;={\\tfrac {1}{\\sqrt {2}}}(u+v)\\\\v&amp;={\\tfrac {1}{\\sqrt {2}}}(x-y)\\qq
},
{
"tex": "2+2",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle 2+2}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mn>2<\/mn>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle 2+2}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "2+2",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle 2+2}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mn>2<\/mn>\n <mo>+<\/mo>\n <mn>2<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle 2+2}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "<script>alert(document.cookies);<\/script>",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle &lt;script&gt;alert(document.cookies);&lt;\/script&gt;}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mo>&lt;<\/mo>\n <mi>s<\/mi>\n <mi>c<\/mi>\n <mi>r<\/mi>\n <mi>i<\/mi>\n <mi>p<\/mi>\n <mi>t<\/mi>\n <mo>&gt;<\/mo>\n <mi>a<\/mi>\n <mi>l<\/mi>\n <mi>e<\/mi>\n <mi>r<\/mi>\n <mi>t<\/mi>\n <mo stretchy=\"false\">(<\/mo>\n <mi>d<\/mi>\n <mi>o<\/mi>\n <mi>c<\/mi>\n <mi>u<\/mi>\n <mi>m<\/mi>\n <mi>e<\/mi>\n <mi>n<\/mi>\n <mi>t<\/mi>\n <mo>.<\/mo>\n <mi>c<\/mi>\n <mi>o<\/mi>\n <mi>o<\/mi>\n <mi>k<\/mi>\n <mi>i<\/mi>\n <mi>e<\/mi>\n <mi>s<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mo>;<\/mo>\n <mo>&lt;<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>\/<\/mo>\n <\/mrow>\n <mi>s<\/mi>\n <mi>c<\/mi>\n <mi>r<\/mi>\n <mi>i<\/mi>\n <mi>p<\/mi>\n <mi>t<\/mi>\n <mo>&gt;<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle &lt;script&gt;alert(document.cookies);&lt;\/script&gt;}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\widehat{x}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\widehat {x}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>x<\/mi>\n <mo>&#x005E;<!-- ^ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\widehat {x}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\widetilde{x}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\widetilde {x}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>x<\/mi>\n <mo>&#x007E;<!-- ~ --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\widetilde {x}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\euro 200",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\euro} 200}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x20AC;<\/mo>\n <\/mrow>\n <\/mrow>\n <mn>200<\/mn>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\euro} 200}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\geneuro",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\geneuro} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x20AC;<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\geneuro} }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\geneuronarrow",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\geneuronarrow} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x20AC;<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\geneuronarrow} }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\geneurowide",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\geneurowide} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x20AC;<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\geneurowide} }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\officialeuro",
"type": "tex",
"mml": "<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>&#x20AC;<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\officialeuro} }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\digamma",
"type": "tex",
"mml": "<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>&#x03DD;<!-- \u03dd --><\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\digamma }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\Coppa\\coppa\\varcoppa",
"type": "tex",
"mml": "<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>&#x3D8;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x3D9;<\/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>"
},
{
"tex": "\\Digamma",
"type": "tex",
"mml": "<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>&#x3DC;<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\Digamma} }<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\Koppa\\koppa",
"type": "tex",
"mml": "<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>&#x3DE;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x3DF;<\/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>"
},
{
"tex": "\\Sampi\\sampi",
"type": "tex",
"mml": "<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>&#x3E0;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x3E1;<\/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>"
},
{
"tex": "\\Stigma\\stigma\\varstigma",
"type": "tex",
"mml": "<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>&#x3DA;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x3DB;<\/mo>\n <\/mrow>\n <\/mrow>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#x3DB;<\/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>"
},
{
"tex": "\\text{next years}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\text{next year's}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\text{`next' year}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\sin x",
"type": "tex",
"mml": "<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>&#x2061;<!-- \u2061 --><\/mo>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sin x}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sin(x)",
"type": "tex",
"mml": "<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>&#x2061;<!-- \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>"
},
{
"tex": "\\sin{x}",
"type": "tex",
"mml": "<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>&#x2061;<!-- \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>"
},
{
"tex": "\\sin x \\,",
"type": "tex",
"mml": "<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>&#x2061;<!-- \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>"
},
{
"tex": "\\sin(x) \\,",
"type": "tex",
"mml": "<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>&#x2061;<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sin(x)\\,}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sin{x} \\,",
"type": "tex",
"mml": "<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>&#x2061;<!-- \u2061 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\sin {x}\\,}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sen x",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen} x}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>x<\/mi>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen} x}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sen(x)",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen}(x)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen}(x)}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sen{x}",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen} {x}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen} {x}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sen x \\,",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen} x\\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mi>x<\/mi>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen} x\\,}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sen(x) \\,",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen}(x)\\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mo stretchy=\"false\">(<\/mo>\n <mi>x<\/mi>\n <mo stretchy=\"false\">)<\/mo>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen}(x)\\,}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\sen{x} \\,",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\operatorname {sen} {x}\\,}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mi>sen<\/mi>\n <mo>&#x2061;<!-- \u2061 --><\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mi>x<\/mi>\n <\/mrow>\n <mspace width=\"thinmathspace\" \/>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\operatorname {sen} {x}\\,}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\operatorname{sen}",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\dot \\vec B",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle {\\dot {\\vec {B}}}}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mover>\n <mi>B<\/mi>\n <mo stretchy=\"false\">&#x2192;<!-- \u2192 --><\/mo>\n <\/mover>\n <\/mrow>\n <mo>&#x02D9;<!-- \u02d9 --><\/mo>\n <\/mover>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle {\\dot {\\vec {B}}}}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\tilde \\mathcal{M}",
"type": "tex",
"mml": "<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\">&#x007E;<!-- ~ --><\/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>"
},
{
"tex": "",
"type": "tex",
"mml": "<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>"
},
{
"tex": " ",
"type": "tex",
"mml": "<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>"
},
{
"tex": "\\left(\\begin{smallmatrix}a & b\\\\ c & d\\end{smallmatrix}\\right)",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\left({\\begin{smallmatrix}a&amp;b\\\\c&amp;d\\end{smallmatrix}}\\right)}\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow>\n <mo>(<\/mo>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle scriptlevel=\"1\">\n <mtable rowspacing=\".2em\" columnspacing=\"0.333em\" displaystyle=\"false\">\n <mtr>\n <mtd>\n <mi>a<\/mi>\n <\/mtd>\n <mtd>\n <mi>b<\/mi>\n <\/mtd>\n <\/mtr>\n <mtr>\n <mtd>\n <mi>c<\/mi>\n <\/mtd>\n <mtd>\n <mi>d<\/mi>\n <\/mtd>\n <\/mtr>\n <\/mtable>\n <\/mstyle>\n <\/mrow>\n <mo>)<\/mo>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\left({\\begin{smallmatrix}a&amp;b\\\\c&amp;d\\end{smallmatrix}}\\right)}<\/annotation>\n <\/semantics>\n<\/math>"
},
{
"tex": "\\AA",
"type": "tex",
"mml": "<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"block\" alttext=\"{\\displaystyle \\mathrm {\\AA} }\">\n <semantics>\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mstyle displaystyle=\"true\" scriptlevel=\"0\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mrow class=\"MJX-TeXAtom-ORD\">\n <mo>&#xC5;<\/mo>\n <\/mrow>\n <\/mrow>\n <\/mstyle>\n <\/mrow>\n <annotation encoding=\"application\/x-tex\">{\\displaystyle \\mathrm {\\AA} }<\/annotation>\n <\/semantics>\n<\/math>"
}
]
Reference in a new issue Copy permalink