<?xml version="1.0" encoding="UTF-8"?>
<?latexml class="article"?>
<?latexml package="amsmath"?>
<?latexml package="amsfonts"?>
<?latexml package="mathrsfs"?>
<?latexml package="xcolor"?>
<?latexml package="mathtools"?>
<?latexml package="graphicx"?>
<?latexml RelaxNGSchema="LaTeXML"?>
<document xmlns="http://dlmf.nist.gov/LaTeXML">
<resource src="LaTeXML.css" type="text/css"/>
<resource src="ltx-article.css" type="text/css"/>
<title>LaTeXML Math Sampler</title>
<para xml:id="p1">
<p>This document is a sampler of the kind of MathML produced by LaTeXML,
primarily for testing for sufficient MathML support.
It is <emph font="italic">not</emph> a comprehensive test, nor a torture test.</p>
</para>
<para xml:id="p2">
<p>The <text font="typewriter">m:semantics</text>, <text font="typewriter">m:annotation</text>, and <text font="typewriter">m:annotation-xml</text> elements
will be exercised if you generate both presentation and content during post-processing
using the <verbatim font="typewriter">--pmml --cmml</verbatim> options.</p>
</para>
<section inlist="toc" xml:id="S1">
<tags>
<tag>1</tag>
<tag role="refnum">1</tag>
<tag role="typerefnum">§1</tag>
</tags>
<title><tag close=" ">1</tag>Token Elements</title>
<para xml:id="S1.p1">
<p>Token elements <text font="typewriter">m:mi</text>, <text font="typewriter">m:mo</text> and <text font="typewriter">m:mn</text>, with various
attributes <text font="typewriter">@mathvariant</text>, <text font="typewriter">@mathsize</text> and <text font="typewriter">@class</text>.</p>
<equation xml:id="S1.E1">
<tags>
<tag>(1)</tag>
<tag role="refnum">1</tag>
</tags>
<Math mode="display" tex="A,\qquad\mathnormal{A},\qquad\mathrm{A},\qquad\mathit{A},\qquad\mathbf{A},% \qquad\mathsf{A},\qquad\mathtt{A}," text="list@(A, A, A, A, A, A, A)" xml:id="S1.E1.m1">
<XMath>
<XMDual>
<XMRef idref="S1.E1.m1.8"/>
<XMWrap>
<XMDual xml:id="S1.E1.m1.8">
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S1.E1.m1.1"/>
<XMRef idref="S1.E1.m1.2"/>
<XMRef idref="S1.E1.m1.3"/>
<XMRef idref="S1.E1.m1.4"/>
<XMRef idref="S1.E1.m1.5"/>
<XMRef idref="S1.E1.m1.6"/>
<XMRef idref="S1.E1.m1.7"/>
</XMApp>
<XMWrap>
<XMTok font="italic" role="UNKNOWN" xml:id="S1.E1.m1.1">A</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S1.E1.m1.2">A</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok role="UNKNOWN" xml:id="S1.E1.m1.3">A</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S1.E1.m1.4">A</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok font="bold" role="UNKNOWN" xml:id="S1.E1.m1.5">A</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok font="sansserif" role="UNKNOWN" xml:id="S1.E1.m1.6">A</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok font="typewriter" role="UNKNOWN" xml:id="S1.E1.m1.7">A</XMTok>
</XMWrap>
</XMDual>
<XMTok role="PUNCT">,</XMTok>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
<equation xml:id="S1.E2">
<tags>
<tag>(2)</tag>
<tag role="refnum">2</tag>
</tags>
<Math mode="display" tex="\mathcal{A},\qquad\mathscr{A},\qquad\mathbb{A},\qquad\mathfrak{A}" text="list@(A, A, A, A)" xml:id="S1.E2.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S1.E2.m1.1"/>
<XMRef idref="S1.E2.m1.2"/>
<XMRef idref="S1.E2.m1.3"/>
<XMRef idref="S1.E2.m1.4"/>
</XMApp>
<XMWrap>
<XMTok font="caligraphic" role="UNKNOWN" xml:id="S1.E2.m1.1">A</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok font="script" role="UNKNOWN" xml:id="S1.E2.m1.2">A</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok font="blackboard" role="UNKNOWN" xml:id="S1.E2.m1.3">A</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok font="fraktur" role="UNKNOWN" xml:id="S1.E2.m1.4">A</XMTok>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
<equation xml:id="S1.E3">
<tags>
<tag>(3)</tag>
<tag role="refnum">3</tag>
</tags>
<Math mode="display" tex="\mbox{\tiny $X$},\qquad\mbox{\scriptsize $X$},\qquad\mbox{\normalsize $X$},% \qquad\mbox{\large $X$},\qquad\mbox{\Large $X$},\qquad\mbox{\LARGE $X$},\qquad% \mbox{\huge $X$},\qquad\mbox{\Huge $X$}" text="list@([ X], [ X], [ X], [ X], [ X], [ X], [ X], [ X])" xml:id="S1.E3.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S1.E3.m1.1"/>
<XMRef idref="S1.E3.m1.2"/>
<XMRef idref="S1.E3.m1.3"/>
<XMRef idref="S1.E3.m1.4"/>
<XMRef idref="S1.E3.m1.5"/>
<XMRef idref="S1.E3.m1.6"/>
<XMRef idref="S1.E3.m1.7"/>
<XMRef idref="S1.E3.m1.8"/>
</XMApp>
<XMWrap>
<XMText xml:id="S1.E3.m1.1"><text fontsize="50%"> </text><Math mode="inline" tex="X" text="X" xml:id="S1.E3.m1.m1">
<XMath>
<XMTok font="italic" fontsize="50%" role="UNKNOWN">X</XMTok>
</XMath>
</Math></XMText>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMText xml:id="S1.E3.m1.2"><text fontsize="70%"> </text><Math mode="inline" tex="X" text="X" xml:id="S1.E3.m1.m2">
<XMath>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">X</XMTok>
</XMath>
</Math></XMText>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMText xml:id="S1.E3.m1.3"> <Math mode="inline" tex="X" text="X" xml:id="S1.E3.m1.m3">
<XMath>
<XMTok font="italic" role="UNKNOWN">X</XMTok>
</XMath>
</Math></XMText>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMText xml:id="S1.E3.m1.4"><text fontsize="120%"> </text><Math mode="inline" tex="X" text="X" xml:id="S1.E3.m1.m4">
<XMath>
<XMTok font="italic" fontsize="120%" role="UNKNOWN">X</XMTok>
</XMath>
</Math></XMText>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMText xml:id="S1.E3.m1.5"><text fontsize="144%"> </text><Math mode="inline" tex="X" text="X" xml:id="S1.E3.m1.m5">
<XMath>
<XMTok font="italic" fontsize="144%" role="UNKNOWN">X</XMTok>
</XMath>
</Math></XMText>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMText xml:id="S1.E3.m1.6"><text fontsize="173%"> </text><Math mode="inline" tex="X" text="X" xml:id="S1.E3.m1.m6">
<XMath>
<XMTok font="italic" fontsize="173%" role="UNKNOWN">X</XMTok>
</XMath>
</Math></XMText>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMText xml:id="S1.E3.m1.7"><text fontsize="207%"> </text><Math mode="inline" tex="X" text="X" xml:id="S1.E3.m1.m7">
<XMath>
<XMTok font="italic" fontsize="207%" role="UNKNOWN">X</XMTok>
</XMath>
</Math></XMText>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMText xml:id="S1.E3.m1.8"><text fontsize="298%"> </text><Math mode="inline" tex="X" text="X" xml:id="S1.E3.m1.m8">
<XMath>
<XMTok font="italic" fontsize="298%" role="UNKNOWN">X</XMTok>
</XMath>
</Math></XMText>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
</para>
<para xml:id="S1.p2">
<p>And some color, <text font="typewriter">@mathcolor</text>, <text font="typewriter">@mathbackground</text>:</p>
<equation xml:id="S1.E4">
<tags>
<tag>(4)</tag>
<tag role="refnum">4</tag>
</tags>
<Math mode="display" tex="{\color[rgb]{1,0,0}X},\qquad{\color[rgb]{0,0,1}X},\qquad{\color[rgb]{0,1,0}X},% \qquad\fcolorbox{blue}{red}{\textcolor{green}{X}}" text="list@(X, X, X, [X])" xml:id="S1.E4.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S1.E4.m1.1"/>
<XMRef idref="S1.E4.m1.2"/>
<XMRef idref="S1.E4.m1.3"/>
<XMRef idref="S1.E4.m1.4"/>
</XMApp>
<XMWrap>
<XMTok color="#FF0000" font="italic" role="UNKNOWN" xml:id="S1.E4.m1.1">X</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok color="#0000FF" font="italic" role="UNKNOWN" xml:id="S1.E4.m1.2">X</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok color="#00FF00" font="italic" role="UNKNOWN" xml:id="S1.E4.m1.3">X</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMText backgroundcolor="#FF0000" framecolor="#0000FF" framed="rectangle" xml:id="S1.E4.m1.4"><text color="#00FF00">X</text></XMText>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
</para>
<para xml:id="S1.p3">
<p>Playing with <text font="typewriter">@minsize</text>, <text font="typewriter">@maxsize</text>, <text font="typewriter">@stretchy</text>:</p>
<equation xml:id="S1.E5">
<tags>
<tag>(5)</tag>
<tag role="refnum">5</tag>
</tags>
<Math class="ltx_math_unparsed" mode="display" tex="(a|b),\qquad\bigl{(}a\bigm{|}b\bigr{)},\qquad\Bigl{(}a\Bigm{|}b\Bigr{)},\qquad% \biggl{(}a\biggm{|}b\biggr{)},\qquad\Biggl{(}a\Biggm{|}b\Biggr{)}" xml:id="S1.E5.m1">
<XMath>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok role="VERTBAR" stretchy="false">|</XMTok>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMWrap>
<XMTok fontsize="120%" role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="120%" role="MIDDLE" stretchy="false">|</XMTok>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="120%" role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMWrap>
<XMTok fontsize="160%" role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="160%" role="MIDDLE" stretchy="false">|</XMTok>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="160%" role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMWrap>
<XMTok fontsize="210%" role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="210%" role="MIDDLE" stretchy="false">|</XMTok>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="210%" role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMWrap>
<XMTok fontsize="260%" role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="260%" role="MIDDLE" stretchy="false">|</XMTok>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="260%" role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
</XMath>
</Math>
</equation>
</para>
<para xml:id="S1.p4">
<equation xml:id="S1.E6">
<tags>
<tag>(6)</tag>
<tag role="refnum">6</tag>
</tags>
<Math class="ltx_math_unparsed" mode="display" tex="\left(a^{b}\middle|x\right),\qquad\left(a^{b^{c}}\middle|x\right),\qquad\left(% a^{b^{c^{d}}}\middle|x\right)" xml:id="S1.E6.m1">
<XMath>
<XMWrap>
<XMTok role="OPEN" stretchy="true">(</XMTok>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="MIDDLE" stretchy="true">|</XMTok>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
<XMTok role="CLOSE" stretchy="true">)</XMTok>
</XMWrap>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMWrap>
<XMTok role="OPEN" stretchy="true">(</XMTok>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post3"/>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
<XMTok font="italic" fontsize="50%" role="UNKNOWN">c</XMTok>
</XMApp>
</XMApp>
<XMTok role="MIDDLE" stretchy="true">|</XMTok>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
<XMTok role="CLOSE" stretchy="true">)</XMTok>
</XMWrap>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMWrap>
<XMTok role="OPEN" stretchy="true">(</XMTok>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post3"/>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post4"/>
<XMTok font="italic" fontsize="50%" role="UNKNOWN">c</XMTok>
<XMTok font="italic" fontsize="50%" role="UNKNOWN">d</XMTok>
</XMApp>
</XMApp>
</XMApp>
<XMTok role="MIDDLE" stretchy="true">|</XMTok>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
<XMTok role="CLOSE" stretchy="true">)</XMTok>
</XMWrap>
</XMath>
</Math>
</equation>
</para>
<para xml:id="S1.p5">
<equation xml:id="S1.E7">
<tags>
<tag>(7)</tag>
<tag role="refnum">7</tag>
</tags>
<Math mode="display" tex="\mbox{Hello}+y-1.2345" text="([Hello] + y) - 1.2345" xml:id="S1.E7.m1">
<XMath>
<XMApp>
<XMTok meaning="minus" role="ADDOP">-</XMTok>
<XMApp>
<XMTok meaning="plus" role="ADDOP">+</XMTok>
<XMText>Hello</XMText>
<XMTok font="italic" role="UNKNOWN">y</XMTok>
</XMApp>
<XMTok meaning="1.2345" role="NUMBER">1.2345</XMTok>
</XMApp>
</XMath>
</Math>
</equation>
<p>Some spacing <text font="typewriter">m:mspace</text>.</p>
<equation xml:id="S1.E8">
<tags>
<tag>(8)</tag>
<tag role="refnum">8</tag>
</tags>
<Math mode="display" tex="xy,\qquad x\hskip 10.00002pty,\qquad x\hskip 20.00003pty" text="list@(x * y, x, y, x, y)" xml:id="S1.E8.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S1.E8.m1.5"/>
<XMRef idref="S1.E8.m1.1"/>
<XMRef idref="S1.E8.m1.2"/>
<XMRef idref="S1.E8.m1.3"/>
<XMRef idref="S1.E8.m1.4"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S1.E8.m1.5">
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
<XMTok font="italic" role="UNKNOWN">y</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S1.E8.m1.1">x</XMTok>
<XMHint name="quad" role="PUNCT" width="10pt"/>
<XMTok font="italic" role="UNKNOWN" xml:id="S1.E8.m1.2">y</XMTok>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S1.E8.m1.3">x</XMTok>
<XMHint name="qquad" role="PUNCT" width="20pt"/>
<XMTok font="italic" role="UNKNOWN" xml:id="S1.E8.m1.4">y</XMTok>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
<p>Not used: <text font="typewriter">m:mglyph</text>, <text font="typewriter">m:ms</text>.</p>
</para>
</section>
<section inlist="toc" xml:id="S2">
<tags>
<tag>2</tag>
<tag role="refnum">2</tag>
<tag role="typerefnum">§2</tag>
</tags>
<title><tag close=" ">2</tag>General Layout Schemata</title>
<para xml:id="S2.p1">
<p>Various layout schemata <text font="typewriter">m:mrow</text>, <text font="typewriter">m:mfrac</text> (with various <text font="typewriter">@linethickness</text>),
and <text font="typewriter">m:mstyle</text>:</p>
<equation xml:id="S2.E9">
<tags>
<tag>(9)</tag>
<tag role="refnum">9</tag>
</tags>
<Math mode="display" tex="\frac{a}{b},\qquad\tfrac{a}{b},\qquad\dfrac{a}{b}" text="list@(a / b, a / b, a / b)" xml:id="S2.E9.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S2.E9.m1.1"/>
<XMRef idref="S2.E9.m1.2"/>
<XMRef idref="S2.E9.m1.3"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S2.E9.m1.1">
<XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S2.E9.m1.2">
<XMTok mathstyle="text" meaning="divide" role="FRACOP"/>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S2.E9.m1.3">
<XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
</XMApp>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
<equation xml:id="S2.E10">
<tags>
<tag>(10)</tag>
<tag role="refnum">10</tag>
</tags>
<Math mode="display" tex="\binom{a}{b}\genfrac{}{}{0.0pt}{}{a}{b},\qquad\genfrac{}{}{0.04303pt}{}{a}{b},% \qquad\genfrac{}{}{0.43057pt}{}{a}{b},\qquad\genfrac{}{}{4.30554pt}{}{a}{b}" text="list@(binomial@(a, b) * (a FRACOP b), a / b, a / b, a / b)" xml:id="S2.E10.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S2.E10.m1.19"/>
<XMRef idref="S2.E10.m1.16"/>
<XMRef idref="S2.E10.m1.17"/>
<XMRef idref="S2.E10.m1.18"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S2.E10.m1.19">
<XMTok meaning="times" role="MULOP"></XMTok>
<XMDual>
<XMApp>
<XMTok meaning="binomial" name="binom" role="UNKNOWN"/>
<XMRef idref="S2.E10.m1.1"/>
<XMRef idref="S2.E10.m1.2"/>
</XMApp>
<XMWrap>
<XMTok role="OPEN" stretchy="true">(</XMTok>
<XMApp xml:id="S2.E10.m1.15">
<XMTok mathstyle="display" role="FRACOP" thickness="0pt"/>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E10.m1.1">a</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E10.m1.2">b</XMTok>
</XMApp>
<XMTok role="CLOSE" stretchy="true">)</XMTok>
</XMWrap>
</XMDual>
<XMApp>
<XMTok mathstyle="display" role="FRACOP" thickness="0.0pt" xml:id="S2.E10.m1.3"/>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E10.m1.4">a</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E10.m1.5">b</XMTok>
</XMApp>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S2.E10.m1.16">
<XMTok mathstyle="display" meaning="divide" role="FRACOP" thickness="0.0pt" xml:id="S2.E10.m1.6"/>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E10.m1.7">a</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E10.m1.8">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S2.E10.m1.17">
<XMTok mathstyle="display" meaning="divide" role="FRACOP" thickness="0.4pt" xml:id="S2.E10.m1.9"/>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E10.m1.10">a</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E10.m1.11">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S2.E10.m1.18">
<XMTok mathstyle="display" meaning="divide" role="FRACOP" thickness="4.3pt" xml:id="S2.E10.m1.12"/>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E10.m1.13">a</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E10.m1.14">b</XMTok>
</XMApp>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
<equation xml:id="S2.E11">
<tags>
<tag>(11)</tag>
<tag role="refnum">11</tag>
</tags>
<Math mode="display" tex="\genfrac{(}{)}{}{}{a}{b},\qquad\genfrac{(}{)}{}{}{a^{2}}{b^{2}},\qquad\genfrac% {(}{)}{}{}{\int_{a}^{b}f(x)dx}{\int_{a}^{b}g(x)dx}" text="list@(a / b, a ^ 2 / b ^ 2, ((integral _ a) ^ b)@(f * x * differential-d@(x)) / ((integral _ a) ^ b)@(g * x * differential-d@(x)))" xml:id="S2.E11.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S2.E11.m1.13"/>
<XMRef idref="S2.E11.m1.14"/>
<XMRef idref="S2.E11.m1.15"/>
</XMApp>
<XMWrap>
<XMDual xml:id="S2.E11.m1.13">
<XMApp>
<XMRef idref="S2.E11.m1.1"/>
<XMRef idref="S2.E11.m1.2"/>
<XMRef idref="S2.E11.m1.3"/>
</XMApp>
<XMWrap>
<XMTok role="OPEN" stretchy="true">(</XMTok>
<XMApp xml:id="S2.E11.m1.10">
<XMTok mathstyle="display" meaning="divide" role="FRACOP" xml:id="S2.E11.m1.1"/>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E11.m1.2">a</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E11.m1.3">b</XMTok>
</XMApp>
<XMTok role="CLOSE" stretchy="true">)</XMTok>
</XMWrap>
</XMDual>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMDual xml:id="S2.E11.m1.14">
<XMApp>
<XMRef idref="S2.E11.m1.4"/>
<XMRef idref="S2.E11.m1.5"/>
<XMRef idref="S2.E11.m1.6"/>
</XMApp>
<XMWrap>
<XMTok role="OPEN" stretchy="true">(</XMTok>
<XMApp xml:id="S2.E11.m1.11">
<XMTok mathstyle="display" meaning="divide" role="FRACOP" xml:id="S2.E11.m1.4"/>
<XMApp xml:id="S2.E11.m1.5">
<XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
</XMApp>
<XMApp xml:id="S2.E11.m1.6">
<XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
</XMApp>
</XMApp>
<XMTok role="CLOSE" stretchy="true">)</XMTok>
</XMWrap>
</XMDual>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMDual xml:id="S2.E11.m1.15">
<XMApp>
<XMRef idref="S2.E11.m1.7"/>
<XMRef idref="S2.E11.m1.8"/>
<XMRef idref="S2.E11.m1.9"/>
</XMApp>
<XMWrap>
<XMTok role="OPEN" stretchy="true">(</XMTok>
<XMApp xml:id="S2.E11.m1.12">
<XMTok mathstyle="display" meaning="divide" role="FRACOP" xml:id="S2.E11.m1.7"/>
<XMApp xml:id="S2.E11.m1.8">
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
<XMTok mathstyle="text" meaning="integral" name="int" role="INTOP">∫</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
</XMApp>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
</XMApp>
<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">f</XMTok>
<XMDual>
<XMRef idref="S2.E11.m1.8.1"/>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E11.m1.8.1">x</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
</XMDual>
<XMApp>
<XMTok font="italic" meaning="differential-d" role="DIFFOP">d</XMTok>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
</XMApp>
</XMApp>
</XMApp>
<XMApp xml:id="S2.E11.m1.9">
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
<XMTok mathstyle="text" meaning="integral" name="int" role="INTOP">∫</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
</XMApp>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
</XMApp>
<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">g</XMTok>
<XMDual>
<XMRef idref="S2.E11.m1.9.1"/>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E11.m1.9.1">x</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
</XMDual>
<XMApp>
<XMTok font="italic" meaning="differential-d" role="DIFFOP">d</XMTok>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
</XMApp>
</XMApp>
</XMApp>
</XMApp>
<XMTok role="CLOSE" stretchy="true">)</XMTok>
</XMWrap>
</XMDual>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
</para>
<para xml:id="S2.p2">
<p>Roots <text font="typewriter">m:msqrt</text> and <text font="typewriter">m:mroot</text>, as well as enclosures <text font="typewriter">m:menclose</text>:</p>
<equation xml:id="S2.E12">
<tags>
<tag>(12)</tag>
<tag role="refnum">12</tag>
</tags>
<Math mode="display" tex="\sqrt{x},\qquad\sqrt[3]{x},\qquad\root 3 \of{x},\qquad\boxed{x^{2}},\qquad\not% {?}" text="list@(square-root@(x), nth-root@(3, x), nth-root@(3, x), x ^ 2, not-?)" xml:id="S2.E12.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S2.E12.m1.1"/>
<XMRef idref="S2.E12.m1.2"/>
<XMRef idref="S2.E12.m1.3"/>
<XMRef idref="S2.E12.m1.4"/>
<XMRef idref="S2.E12.m1.5"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S2.E12.m1.1">
<XMTok meaning="square-root"/>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S2.E12.m1.2">
<XMTok meaning="nth-root"/>
<XMTok fontsize="70%" meaning="3" role="NUMBER">3</XMTok>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S2.E12.m1.3">
<XMTok meaning="nth-root"/>
<XMTok fontsize="70%" meaning="3" role="NUMBER">3</XMTok>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp enclose="box" xml:id="S2.E12.m1.4">
<XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
<XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMTok name="not-?" role="UNKNOWN" xml:id="S2.E12.m1.5">?̸</XMTok>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
</para>
<para xml:id="S2.p3">
<p>More spacing examples with <text font="typewriter">m:mpadded</text>:</p>
<equation xml:id="S2.E13">
<tags>
<tag>(13)</tag>
<tag role="refnum">13</tag>
</tags>
<Math mode="display" tex="a+b,\qquad a\,+\,b,\qquad a\>+\>b,\qquad a\;+\;b,\qquad" text="list@(a + b, a + b, a + b, a + b)" xml:id="S2.E13.m1">
<XMath>
<XMDual>
<XMRef idref="S2.E13.m1.1"/>
<XMWrap>
<XMDual xml:id="S2.E13.m1.1">
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S2.E13.m1.1.1"/>
<XMRef idref="S2.E13.m1.1.2"/>
<XMRef idref="S2.E13.m1.1.3"/>
<XMRef idref="S2.E13.m1.1.4"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S2.E13.m1.1.1">
<XMTok meaning="plus" role="ADDOP">+</XMTok>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S2.E13.m1.1.2">
<XMTok meaning="plus" role="ADDOP" rpadding="1.7pt">+</XMTok>
<XMTok font="italic" role="UNKNOWN" rpadding="1.7pt">a</XMTok>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S2.E13.m1.1.3">
<XMTok meaning="plus" role="ADDOP" rpadding="2.2pt">+</XMTok>
<XMTok font="italic" role="UNKNOWN" rpadding="2.2pt">a</XMTok>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S2.E13.m1.1.4">
<XMTok meaning="plus" role="ADDOP" rpadding="2.8pt">+</XMTok>
<XMTok font="italic" role="UNKNOWN" rpadding="2.8pt">a</XMTok>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
</XMApp>
</XMWrap>
</XMDual>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
<equationgroup class="ltx_eqn_eqnarray" xml:id="S5.EGx1">
<equation xml:id="S2.E14">
<tags>
<tag>(14)</tag>
<tag role="refnum">14</tag>
</tags>
<MathFork>
<Math tex="\displaystyle X=f(x)+g(x)+h(x)" text="X = f * x + g * x + h * x" xml:id="S2.E14.m4">
<XMath>
<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMTok font="italic" role="UNKNOWN">X</XMTok>
<XMApp>
<XMTok meaning="plus" role="ADDOP">+</XMTok>
<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">f</XMTok>
<XMDual>
<XMRef idref="S2.E14.m4.1"/>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E14.m4.1">x</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
</XMDual>
</XMApp>
<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">g</XMTok>
<XMDual>
<XMRef idref="S2.E14.m4.2"/>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E14.m4.2">x</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
</XMDual>
</XMApp>
<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">h</XMTok>
<XMDual>
<XMRef idref="S2.E14.m4.3"/>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E14.m4.3">x</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
</XMDual>
</XMApp>
</XMApp>
</XMApp>
</XMath>
</Math>
<MathBranch>
<tr>
<td align="right"><Math mode="inline" tex="\displaystyle X" text="X" xml:id="S2.E14.m1">
<XMath>
<XMTok font="italic" role="UNKNOWN">X</XMTok>
</XMath>
</Math></td>
<td align="center"><Math mode="inline" tex="\displaystyle=" text="=" xml:id="S2.E14.m2">
<XMath>
<XMTok meaning="equals" role="RELOP">=</XMTok>
</XMath>
</Math></td>
<td align="left"><Math mode="inline" tex="\displaystyle f(x)+g(x)+h(x)" text="f * x + g * x + h * x" xml:id="S2.E14.m3">
<XMath>
<XMApp>
<XMTok meaning="plus" role="ADDOP">+</XMTok>
<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">f</XMTok>
<XMDual>
<XMRef idref="S2.E14.m3.1"/>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E14.m3.1">x</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
</XMDual>
</XMApp>
<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">g</XMTok>
<XMDual>
<XMRef idref="S2.E14.m3.2"/>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E14.m3.2">x</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
</XMDual>
</XMApp>
<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">h</XMTok>
<XMDual>
<XMRef idref="S2.E14.m3.3"/>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E14.m3.3">x</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
</XMDual>
</XMApp>
</XMApp>
</XMath>
</Math></td>
</tr>
</MathBranch>
</MathFork>
</equation>
<equation xml:id="S2.E15">
<tags>
<tag>(15)</tag>
<tag role="refnum">15</tag>
</tags>
<MathFork>
<Math class="ltx_math_unparsed" tex="\displaystyle=f(x)+\phantom{g(x)}+h(x)" xml:id="S2.E15.m3">
<XMath>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMTok font="italic" role="UNKNOWN">f</XMTok>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E15.m3.1">x</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
<XMTok meaning="plus" role="ADDOP" rpadding="18.6pt">+</XMTok>
<XMTok meaning="plus" role="ADDOP">+</XMTok>
<XMTok font="italic" role="UNKNOWN">h</XMTok>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
</XMath>
</Math>
<MathBranch>
<tr>
<td/>
<td align="center"><Math mode="inline" tex="\displaystyle=" text="=" xml:id="S2.E15.m1">
<XMath>
<XMTok meaning="equals" role="RELOP">=</XMTok>
</XMath>
</Math></td>
<td align="left"><Math class="ltx_math_unparsed" mode="inline" tex="\displaystyle f(x)+\phantom{g(x)}+h(x)" xml:id="S2.E15.m2">
<XMath>
<XMTok font="italic" role="UNKNOWN">f</XMTok>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S2.E15.m2.1">x</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
<XMTok meaning="plus" role="ADDOP" rpadding="18.6pt">+</XMTok>
<XMTok meaning="plus" role="ADDOP">+</XMTok>
<XMTok font="italic" role="UNKNOWN">h</XMTok>
<XMWrap>
<XMTok role="OPEN" stretchy="false">(</XMTok>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
<XMTok role="CLOSE" stretchy="false">)</XMTok>
</XMWrap>
</XMath>
</Math></td>
</tr>
</MathBranch>
</MathFork>
</equation>
</equationgroup>
</para>
<para xml:id="S2.p4">
<p>Not used: <text font="typewriter">m:mfenced</text>, <text font="typewriter">m:mphantom</text>;
used only for errors: <text font="typewriter">m:merror</text>.</p>
</para>
</section>
<section inlist="toc" xml:id="S3">
<tags>
<tag>3</tag>
<tag role="refnum">3</tag>
<tag role="typerefnum">§3</tag>
</tags>
<title><tag close=" ">3</tag>Script and Limit Schemata</title>
<para xml:id="S3.p1">
<p>A variety of sub- and super-scripts (<text font="typewriter">m:msub</text>, <text font="typewriter">m:msup</text>, <text font="typewriter">m:msubsup</text>),
under- and over-scripts (<text font="typewriter">m:munder</text>, <text font="typewriter">m:mover</text>, <text font="typewriter">m:munderover</text>),
some as accents, and pre-scripts (<text font="typewriter">m:multiscripts</text>, <text font="typewriter">m:mprescripts</text>).</p>
</para>
<para xml:id="S3.p2">
<equation xml:id="S3.E17">
<tags>
<tag>(17)</tag>
<tag role="refnum">17</tag>
</tags>
<Math mode="display" tex="a^{b},\qquad a^{b^{c}},\qquad a^{b^{c^{d}}},\qquad a_{b},\qquad a_{b_{c}},% \qquad a_{b_{c_{d}}},\qquad a^{b}_{c}" text="list@(a ^ b, a ^ b ^ c, a ^ b ^ c ^ d, a _ b, a _ b _ c, a _ b _ c _ d, (a ^ b) _ c)" xml:id="S3.E17.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S3.E17.m1.1"/>
<XMRef idref="S3.E17.m1.2"/>
<XMRef idref="S3.E17.m1.3"/>
<XMRef idref="S3.E17.m1.4"/>
<XMRef idref="S3.E17.m1.5"/>
<XMRef idref="S3.E17.m1.6"/>
<XMRef idref="S3.E17.m1.7"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S3.E17.m1.1">
<XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S3.E17.m1.2">
<XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
<XMTok font="italic" fontsize="50%" role="UNKNOWN">c</XMTok>
</XMApp>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S3.E17.m1.3">
<XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post2"/>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post3"/>
<XMTok font="italic" fontsize="50%" role="UNKNOWN">c</XMTok>
<XMTok font="italic" fontsize="50%" role="UNKNOWN">d</XMTok>
</XMApp>
</XMApp>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S3.E17.m1.4">
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S3.E17.m1.5">
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
<XMTok font="italic" fontsize="50%" role="UNKNOWN">c</XMTok>
</XMApp>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S3.E17.m1.6">
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post2"/>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post3"/>
<XMTok font="italic" fontsize="50%" role="UNKNOWN">c</XMTok>
<XMTok font="italic" fontsize="50%" role="UNKNOWN">d</XMTok>
</XMApp>
</XMApp>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S3.E17.m1.7">
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">c</XMTok>
</XMApp>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
</para>
<para xml:id="S3.p3">
<equation xml:id="S3.E18">
<tags>
<tag>(18)</tag>
<tag role="refnum">18</tag>
</tags>
<Math mode="display" tex="\sum^{b},\qquad\sum_{b},\qquad\sum^{b}_{c}" text="list@(sum ^ b, sum _ b, (sum ^ b) _ c)" xml:id="S3.E18.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S3.E18.m1.1"/>
<XMRef idref="S3.E18.m1.2"/>
<XMRef idref="S3.E18.m1.3"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S3.E18.m1.1">
<XMTok role="SUPERSCRIPTOP" scriptpos="mid1"/>
<XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S3.E18.m1.2">
<XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
<XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S3.E18.m1.3">
<XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="mid1"/>
<XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">c</XMTok>
</XMApp>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
<equation xml:id="S3.E19">
<tags>
<tag>(19)</tag>
<tag role="refnum">19</tag>
</tags>
<Math mode="display" tex="X=\sum_{1\leq i\leq j\leq n}X_{ij},\qquad X=\sum_{\mathclap{1\leq i\leq j\leq n% }}X_{ij},\qquad X=\smashoperator[r]{\sum_{1\leq i\leq j\leq n}^{}}X_{ij},% \qquad X=\smashoperator[l]{\sum_{1\leq i\leq j\leq n}^{}}X_{ij}" text="formulae@(X = (sum _ (1 <= i <= j <= n))@(X _ (i * j)), formulae@(X = (sum _ (1 <= i <= j <= n))@(X _ (i * j)), formulae@(X = (sum _ (1 <= i <= j <= n))@(X _ (i * j)), X = (sum _ (1 <= i <= j <= n))@(X _ (i * j)))))" xml:id="S3.E19.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="formulae"/>
<XMRef idref="S3.E19.m1.1"/>
<XMRef idref="S3.E19.m1.2"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S3.E19.m1.1">
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMTok font="italic" role="UNKNOWN">X</XMTok>
<XMApp>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
<XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
<XMApp>
<XMTok meaning="multirelation"/>
<XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
<XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
<XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
<XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
</XMApp>
</XMApp>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">X</XMTok>
<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
</XMApp>
</XMApp>
</XMApp>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMDual xml:id="S3.E19.m1.2">
<XMApp>
<XMTok meaning="formulae"/>
<XMRef idref="S3.E19.m1.2.1"/>
<XMRef idref="S3.E19.m1.2.2"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S3.E19.m1.2.1">
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMTok font="italic" role="UNKNOWN">X</XMTok>
<XMApp>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
<XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
<XMApp width="0pt" xoffset="-14.9pt">
<XMTok meaning="multirelation"/>
<XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
<XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
<XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
<XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
</XMApp>
</XMApp>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">X</XMTok>
<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
</XMApp>
</XMApp>
</XMApp>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMDual xml:id="S3.E19.m1.2.2">
<XMApp>
<XMTok meaning="formulae"/>
<XMRef idref="S3.E19.m1.2.2.1"/>
<XMRef idref="S3.E19.m1.2.2.2"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S3.E19.m1.2.2.1">
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMTok font="italic" role="UNKNOWN">X</XMTok>
<XMApp>
<XMApp lpadding="9.6pt" role="SUMOP" scriptpos="mid">
<XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
<XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
<XMApp width="0.0pt" xoffset="-14.9pt">
<XMTok meaning="multirelation"/>
<XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
<XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
<XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
<XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
</XMApp>
</XMApp>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">X</XMTok>
<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
</XMApp>
</XMApp>
</XMApp>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S3.E19.m1.2.2.2">
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMTok font="italic" role="UNKNOWN">X</XMTok>
<XMApp>
<XMApp role="SUMOP" rpadding="9.6pt" scriptpos="mid">
<XMTok role="SUBSCRIPTOP" scriptpos="mid1"/>
<XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
<XMApp width="0.0pt" xoffset="-14.9pt">
<XMTok meaning="multirelation"/>
<XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
<XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
<XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
<XMTok fontsize="70%" meaning="less-than-or-equals" name="leq" role="RELOP">≤</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">n</XMTok>
</XMApp>
</XMApp>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">X</XMTok>
<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">i</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">j</XMTok>
</XMApp>
</XMApp>
</XMApp>
</XMApp>
</XMWrap>
</XMDual>
</XMWrap>
</XMDual>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
</para>
<para xml:id="S3.p4">
<equation xml:id="S3.E20">
<tags>
<tag>(20)</tag>
<tag role="refnum">20</tag>
</tags>
<Math mode="display" tex="a\overset{\mathrm{def}}{\rightarrow}b,\qquad a\underset{\mathrm{def}}{% \rightarrow}b,\qquad a\overrightarrow{\mathrm{def}}b,\qquad a\underrightarrow{% \mathrm{def}}b" text="list@(a * def@(rightarrow) * b, a * def@(rightarrow) * b, a * overrightarrow@(def) * b, a * underrightarrow@(def) * b)" xml:id="S3.E20.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S3.E20.m1.1"/>
<XMRef idref="S3.E20.m1.2"/>
<XMRef idref="S3.E20.m1.3"/>
<XMRef idref="S3.E20.m1.4"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S3.E20.m1.1">
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMApp>
<XMTok role="OVERACCENT">def</XMTok>
<XMTok name="rightarrow" role="ARROW">→</XMTok>
</XMApp>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S3.E20.m1.2">
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMApp>
<XMTok role="UNDERACCENT">def</XMTok>
<XMTok name="rightarrow" role="ARROW">→</XMTok>
</XMApp>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S3.E20.m1.3">
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMApp>
<XMTok name="overrightarrow" role="OVERACCENT">→</XMTok>
<XMTok role="UNKNOWN">def</XMTok>
</XMApp>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp xml:id="S3.E20.m1.4">
<XMTok meaning="times" role="MULOP"></XMTok>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMApp>
<XMTok name="underrightarrow" role="UNDERACCENT">→</XMTok>
<XMTok role="UNKNOWN">def</XMTok>
</XMApp>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
</XMApp>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
</para>
<para xml:id="S3.p5">
<equation xml:id="S3.E21">
<tags>
<tag>(21)</tag>
<tag role="refnum">21</tag>
</tags>
<Math mode="display" tex="{}_{p}F_{q},\qquad\sideset{{}_{a}^{b}}{{}^{c}_{d}}{\sum}" text="list@(_ p F _ q, (_ a ^ b sum ^ c) _ d)" xml:id="S3.E21.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S3.E21.m1.2"/>
<XMRef idref="S3.E21.m1.1"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S3.E21.m1.2">
<XMTok role="SUBSCRIPTOP" scriptpos="pre1"/>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">F</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">q</XMTok>
</XMApp>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">p</XMTok>
</XMApp>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMApp scriptpos="mid1" xml:id="S3.E21.m1.1">
<XMTok role="SUBSCRIPTOP" scriptpos="post3"/>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="post3"/>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="pre1"/>
<XMApp>
<XMTok role="SUPERSCRIPTOP" scriptpos="pre1"/>
<XMTok mathstyle="display" meaning="sum" role="SUMOP" scriptpos="mid">∑</XMTok>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">a</XMTok>
</XMApp>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">c</XMTok>
</XMApp>
<XMTok font="italic" fontsize="70%" role="UNKNOWN">d</XMTok>
</XMApp>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
</para>
</section>
<section inlist="toc" xml:id="S4">
<tags>
<tag>4</tag>
<tag role="refnum">4</tag>
<tag role="typerefnum">§4</tag>
</tags>
<title><tag close=" ">4</tag>Tabular Math</title>
<para xml:id="S4.p1">
<p>Some basic tabular math (<text font="typewriter">m:mtable</text>, <text font="typewriter">m:mtr</text>, <text font="typewriter">m:mtd</text>);
many combinations of row and column spacing and spans
(<text font="typewriter">@rowspacing</text>, <text font="typewriter">@columnspacing</text>, <text font="typewriter">@columnspan</text>, <text font="typewriter">@rowspan</text>)
are not currently tested.</p>
</para>
<para xml:id="S4.p2">
<equation xml:id="S4.E22">
<tags>
<tag>(22)</tag>
<tag role="refnum">22</tag>
</tags>
<Math mode="display" tex="\begin{matrix}-1&3\\ 2&-4\end{matrix},\qquad\begin{matrix}[r]-1&3\\ 2&-4\end{matrix},\qquad\begin{Vmatrix}-1&3\\ 2&-4\end{Vmatrix},\qquad\begin{Vmatrix}[r]-1&3\\ 2&-4\end{Vmatrix}" text="list@(matrix@(Array[[- 1, 3], [2, - 4]]), matrix@(Array[[- 1, 3], [2, - 4]]), norm@(matrix@(Array[[- 1, 3], [2, - 4]])), norm@(matrix@(Array[[- 1, 3], [2, - 4]])))" xml:id="S4.E22.m1">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="list"/>
<XMRef idref="S4.E22.m1.5"/>
<XMRef idref="S4.E22.m1.6"/>
<XMRef idref="S4.E22.m1.7"/>
<XMRef idref="S4.E22.m1.8"/>
</XMApp>
<XMWrap>
<XMDual xml:id="S4.E22.m1.5">
<XMApp>
<XMTok meaning="matrix"/>
<XMRef idref="S4.E22.m1.1"/>
</XMApp>
<XMArray xml:id="S4.E22.m1.1">
<XMRow>
<XMCell align="center">
<XMApp>
<XMTok meaning="minus" role="ADDOP">-</XMTok>
<XMTok meaning="1" role="NUMBER">1</XMTok>
</XMApp>
</XMCell>
<XMCell align="center">
<XMTok meaning="3" role="NUMBER">3</XMTok>
</XMCell>
</XMRow>
<XMRow>
<XMCell align="center">
<XMTok meaning="2" role="NUMBER">2</XMTok>
</XMCell>
<XMCell align="center">
<XMApp>
<XMTok meaning="minus" role="ADDOP">-</XMTok>
<XMTok meaning="4" role="NUMBER">4</XMTok>
</XMApp>
</XMCell>
</XMRow>
</XMArray>
</XMDual>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMDual xml:id="S4.E22.m1.6">
<XMApp>
<XMTok meaning="matrix"/>
<XMRef idref="S4.E22.m1.2"/>
</XMApp>
<XMArray xml:id="S4.E22.m1.2">
<XMRow>
<XMCell align="right">
<XMApp>
<XMTok meaning="minus" role="ADDOP">-</XMTok>
<XMTok meaning="1" role="NUMBER">1</XMTok>
</XMApp>
</XMCell>
<XMCell align="right">
<XMTok meaning="3" role="NUMBER">3</XMTok>
</XMCell>
</XMRow>
<XMRow>
<XMCell align="right">
<XMTok meaning="2" role="NUMBER">2</XMTok>
</XMCell>
<XMCell align="right">
<XMApp>
<XMTok meaning="minus" role="ADDOP">-</XMTok>
<XMTok meaning="4" role="NUMBER">4</XMTok>
</XMApp>
</XMCell>
</XMRow>
</XMArray>
</XMDual>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMDual xml:id="S4.E22.m1.7">
<XMApp>
<XMTok meaning="norm"/>
<XMApp>
<XMTok meaning="matrix"/>
<XMRef idref="S4.E22.m1.3"/>
</XMApp>
</XMApp>
<XMWrap>
<XMTok role="OPEN" stretchy="true">‖</XMTok>
<XMArray xml:id="S4.E22.m1.3">
<XMRow>
<XMCell align="center">
<XMApp>
<XMTok meaning="minus" role="ADDOP">-</XMTok>
<XMTok meaning="1" role="NUMBER">1</XMTok>
</XMApp>
</XMCell>
<XMCell align="center">
<XMTok meaning="3" role="NUMBER">3</XMTok>
</XMCell>
</XMRow>
<XMRow>
<XMCell align="center">
<XMTok meaning="2" role="NUMBER">2</XMTok>
</XMCell>
<XMCell align="center">
<XMApp>
<XMTok meaning="minus" role="ADDOP">-</XMTok>
<XMTok meaning="4" role="NUMBER">4</XMTok>
</XMApp>
</XMCell>
</XMRow>
</XMArray>
<XMTok role="CLOSE" stretchy="true">‖</XMTok>
</XMWrap>
</XMDual>
<XMTok role="PUNCT" rpadding="20.0pt">,</XMTok>
<XMDual xml:id="S4.E22.m1.8">
<XMApp>
<XMTok meaning="norm"/>
<XMApp>
<XMTok meaning="matrix"/>
<XMRef idref="S4.E22.m1.4"/>
</XMApp>
</XMApp>
<XMWrap>
<XMTok role="OPEN" stretchy="true">‖</XMTok>
<XMArray xml:id="S4.E22.m1.4">
<XMRow>
<XMCell align="right">
<XMApp>
<XMTok meaning="minus" role="ADDOP">-</XMTok>
<XMTok meaning="1" role="NUMBER">1</XMTok>
</XMApp>
</XMCell>
<XMCell align="right">
<XMTok meaning="3" role="NUMBER">3</XMTok>
</XMCell>
</XMRow>
<XMRow>
<XMCell align="right">
<XMTok meaning="2" role="NUMBER">2</XMTok>
</XMCell>
<XMCell align="right">
<XMApp>
<XMTok meaning="minus" role="ADDOP">-</XMTok>
<XMTok meaning="4" role="NUMBER">4</XMTok>
</XMApp>
</XMCell>
</XMRow>
</XMArray>
<XMTok role="CLOSE" stretchy="true">‖</XMTok>
</XMWrap>
</XMDual>
</XMWrap>
</XMDual>
</XMath>
</Math>
</equation>
<p>Not used: <text font="typewriter">m:mlabeledtr</text>, <text font="typewriter">m:maligngroup</text>, <text font="typewriter">m:malignmark</text>.</p>
</para>
</section>
<section inlist="toc" xml:id="S5">
<tags>
<tag>5</tag>
<tag role="refnum">5</tag>
<tag role="typerefnum">§5</tag>
</tags>
<title><tag close=" ">5</tag>Elementary Math</title>
<para xml:id="S5.p1">
<p>Not currently used:
<text font="typewriter">m:mstack</text>, <text font="typewriter">m:mlongdiv</text>, <text font="typewriter">m:msgroup</text>, <text font="typewriter">m:msrow</text>,
<text font="typewriter">m:mscarries</text>, <text font="typewriter">m:mscarry</text>, <text font="typewriter">m:msline</text>.</p>
</para>
</section>
</document>