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<?latexml class="amsart"?>
<?latexml RelaxNGSchema="LaTeXML"?>
<document xmlns="http://dlmf.nist.gov/LaTeXML" class="ltx_authors_1line ltx_leqno">
<resource src="LaTeXML.css" type="text/css"/>
<resource src="ltx-article.css" type="text/css"/>
<resource src="ltx-amsart.css" type="text/css"/>
<title>Sample amsart</title>
<creator role="author">
<personname>Joe Blow</personname>
<contact role="address">Somewhere, USA</contact>
<contact role="current_address">same as above</contact>
<contact role="email">joe@blow</contact>
</creator>
<creator before=", " role="author">
<personname>Frank Zappa</personname>
<contact role="address">Baltimore</contact>
</creator>
<creator before=" and " role="author">
<personname>Someone Else</personname>
<contact role="address">Somewhere Else</contact>
<contact role="dedicatory">To all those who went before</contact>
</creator>
<date name="Date:" role="creation">February 14, 2013</date>
<abstract name="Abstract.">
<p>Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.</p>
</abstract>
<keywords name="Key words and phrases">ams,article,markup</keywords>
<classification name="2000 Mathematics Subject Classification" scheme="2000 Mathematics Subject Classification">Primary </classification>
<classification name="2000 Mathematics Subject Classification" scheme="2000 Mathematics Subject Classification">Other stuff </classification>
<acknowledgements>My Mommy.</acknowledgements>
<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>Introduction</title>
<toctitle><tag close=" ">1</tag>Introduction</toctitle>
<para xml:id="S1.p1">
<p>Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.</p>
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<tag>(1.1)</tag>
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<tags>
<tag>Figure 1</tag>
<tag role="refnum">1</tag>
<tag role="typerefnum">Figure 1</tag>
</tags>
<p align="center">A Figure<break/></p>
<toccaption><tag close=" ">1</tag>A Figure</toccaption>
<caption><tag close=". ">Figure 1</tag>A Figure</caption>
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<tag>Table 1</tag>
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<tag role="typerefnum">Table 1</tag>
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<toccaption class="ltx_centering"><tag close=" ">1</tag>A Table</toccaption>
<caption class="ltx_centering"><tag close=". ">Table 1</tag>A Table</caption>
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<tr>
<td align="right" border="r" thead="column row">Heading</td>
<td align="center" thead="column">Foo</td>
<td align="center" thead="column">Bar</td>
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<tr>
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<item xml:id="S1.I1.i2.I1.i1">
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<para xml:id="S1.p6">
<description xml:id="S1.I3">
<item xml:id="S1.I3.ix1">
<tags>
<tag><text font="bold">A thing: </text></tag>
<tag role="typerefnum">item A thing</tag>
</tags>
<para xml:id="S1.I3.ix1.p1">
<p>with some descriptive text.</p>
</para>
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<item xml:id="S1.I3.ix2">
<tags>
<tag><text font="bold">Another: </text></tag>
<tag role="typerefnum">item Another</tag>
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<para xml:id="S1.I3.ix2.p1">
<p>Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.</p>
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<item xml:id="S1.I3.ix3">
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<tag><text font="bold">And yet: </text></tag>
<tag role="typerefnum">item And yet</tag>
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<para xml:id="S1.I3.ix3.p1">
<p>blah, blah. Moreover
Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.</p>
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</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>A Math Section</title>
<toctitle><tag close=" ">2</tag>A Math Section</toctitle>
<para xml:id="S2.p1">
<p>Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.</p>
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<para xml:id="S2.p2">
<p>Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.</p>
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</XMApp>
</XMApp>
</XMath>
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</equationgroup>
</para>
<para xml:id="S2.p8">
<equationgroup class="ltx_eqn_align" xml:id="S3.EGx2">
<equation xml:id="S2.E6">
<tags>
<tag>(2.6)</tag>
<tag role="refnum">2.6</tag>
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<XMTok fontsize="70%" meaning="1" role="NUMBER">1</XMTok>
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<XMApp>
<XMTok meaning="plus" role="ADDOP">+</XMTok>
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</XMath>
</Math></td>
<td align="left"><Math mode="inline" tex="\displaystyle=b_{2}+c_{2}-d_{2}+e_{2}" text="absent = ((b _ 2 + c _ 2) - d _ 2) + e _ 2" xml:id="S2.E7.m2">
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<XMTok meaning="minus" role="ADDOP">-</XMTok>
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<XMTok meaning="plus" role="ADDOP">+</XMTok>
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<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">c</XMTok>
<XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">d</XMTok>
<XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
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</XMApp>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">e</XMTok>
<XMTok fontsize="70%" meaning="2" role="NUMBER">2</XMTok>
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</equationgroup>
</para>
<para xml:id="S2.p9">
<equationgroup class="ltx_eqn_align" xml:id="S3.EGx3">
<equation xml:id="S2.E8">
<tags>
<tag>(2.8)</tag>
<tag role="refnum">2.8</tag>
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<MathFork>
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<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="70%" meaning="11" role="NUMBER">11</XMTok>
</XMApp>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="11" role="NUMBER">11</XMTok>
</XMApp>
</XMApp>
</XMath>
</Math>
<MathBranch>
<td align="right"><Math mode="inline" tex="\displaystyle a_{11}" text="a _ 11" xml:id="S2.E8.m1">
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="70%" meaning="11" role="NUMBER">11</XMTok>
</XMApp>
</XMath>
</Math></td>
<td align="left"><Math mode="inline" tex="\displaystyle=b_{11}" text="absent = b _ 11" xml:id="S2.E8.m2">
<XMath>
<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMTok meaning="absent"/>
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<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
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<MathFork>
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<XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
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</XMApp>
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
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<XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
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</XMath>
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<td align="left"><Math mode="inline" tex="\displaystyle=b_{12}" text="absent = b _ 12" xml:id="S2.E8.m4">
<XMath>
<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMTok meaning="absent"/>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
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</XMApp>
</XMath>
</Math></td>
</MathBranch>
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<tags>
<tag>(2.9)</tag>
<tag role="refnum">2.9</tag>
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<MathFork>
<Math tex="\displaystyle a_{21}=b_{21}" text="a _ 21 = b _ 21" xml:id="S2.E9.m5">
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<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="70%" meaning="21" role="NUMBER">21</XMTok>
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="21" role="NUMBER">21</XMTok>
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</XMApp>
</XMath>
</Math>
<MathBranch>
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="70%" meaning="21" role="NUMBER">21</XMTok>
</XMApp>
</XMath>
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<td align="left"><Math mode="inline" tex="\displaystyle=b_{21}" text="absent = b _ 21" xml:id="S2.E9.m2">
<XMath>
<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMTok meaning="absent"/>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="21" role="NUMBER">21</XMTok>
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<MathFork>
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<XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
</XMApp>
<XMApp>
<XMTok meaning="plus" role="ADDOP">+</XMTok>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">c</XMTok>
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</XMApp>
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
</XMApp>
</XMath>
</Math></td>
<td align="left"><Math mode="inline" tex="\displaystyle=b_{22}+c_{22}" text="absent = b _ 22 + c _ 22" xml:id="S2.E9.m4">
<XMath>
<XMApp>
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<XMTok meaning="absent"/>
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">c</XMTok>
<XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
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</equationgroup>
</para>
<para xml:id="S2.p10">
<p>Some text</p>
<equation xml:id="S2.E10">
<tags>
<tag>(2.10)</tag>
<tag role="refnum">2.10</tag>
</tags>
<Math mode="display" tex="a=\text{something}" text="a = [something]" xml:id="S2.E10.m1">
<XMath>
<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMText>something</XMText>
</XMApp>
</XMath>
</Math>
</equation>
</para>
<theorem class="ltx_theorem_corollary" inlist="thm theorem:corollary" xml:id="Thmcorollary1">
<tags>
<tag>Corollary 1</tag>
<tag role="refnum">1</tag>
<tag role="typerefnum">Corollary 1</tag>
</tags>
<title class="ltx_runin"><tag><text font="italic">Corollary 1</text></tag><text font="italic">.</text></title>
<para xml:id="Thmcorollary1.p1">
<p>Whatever!</p>
</para>
</theorem>
<theorem class="ltx_theorem_corollary" inlist="thm theorem:corollary*" xml:id="Thmcorollaryx1">
<tags>
<tag>Corollary</tag>
<tag role="typerefnum">Corollary</tag>
</tags>
<title class="ltx_runin"><tag><text font="italic">Corollary</text></tag><text font="italic">.</text></title>
<para xml:id="Thmcorollaryx1.p1">
<p>And whatever.</p>
</para>
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<para xml:id="S2.p11">
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<equation xml:id="S2.Ex2">
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="70%" meaning="11" role="NUMBER">11</XMTok>
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<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="11" role="NUMBER">11</XMTok>
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</XMApp>
</XMath>
</Math>
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</XMApp>
</XMath>
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<XMath>
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<MathFork>
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<XMApp>
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<XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
</XMApp>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
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</XMApp>
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<MathBranch>
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<XMApp>
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<XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
</XMApp>
</XMath>
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<XMath>
<XMApp>
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<XMTok meaning="absent"/>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="12" role="NUMBER">12</XMTok>
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</equation>
<equation xml:id="S2.Ex3">
<MathFork>
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<XMath>
<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="70%" meaning="21" role="NUMBER">21</XMTok>
</XMApp>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="21" role="NUMBER">21</XMTok>
</XMApp>
</XMApp>
</XMath>
</Math>
<MathBranch>
<td align="right"><Math mode="inline" tex="\displaystyle a_{21}" text="a _ 21" xml:id="S2.Ex3.m1">
<XMath>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="70%" meaning="21" role="NUMBER">21</XMTok>
</XMApp>
</XMath>
</Math></td>
<td align="left"><Math mode="inline" tex="\displaystyle=b_{21}" text="absent = b _ 21" xml:id="S2.Ex3.m2">
<XMath>
<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMTok meaning="absent"/>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="21" role="NUMBER">21</XMTok>
</XMApp>
</XMApp>
</XMath>
</Math></td>
</MathBranch>
</MathFork>
<MathFork>
<Math tex="\displaystyle a_{22}=b_{22}+c_{22}" text="a _ 22 = b _ 22 + c _ 22" xml:id="S2.Ex3.m6">
<XMath>
<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
</XMApp>
<XMApp>
<XMTok meaning="plus" role="ADDOP">+</XMTok>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
<XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
</XMApp>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">c</XMTok>
<XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
</XMApp>
</XMApp>
</XMApp>
</XMath>
</Math>
<MathBranch>
<td align="right"><Math mode="inline" tex="\displaystyle a_{22}" text="a _ 22" xml:id="S2.Ex3.m3">
<XMath>
<XMApp>
<XMTok role="SUBSCRIPTOP" scriptpos="post1"/>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok fontsize="70%" meaning="22" role="NUMBER">22</XMTok>
</XMApp>
</XMath>
</Math></td>
<td align="left"><Math mode="inline" tex="\displaystyle=b_{22}+c_{22}" text="absent = b _ 22 + c _ 22" xml:id="S2.Ex3.m4">
<XMath>
<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMTok meaning="absent"/>
<XMApp>
<XMTok meaning="plus" role="ADDOP">+</XMTok>
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<p>Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.</p>
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<p>Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.</p>
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<p>Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.</p>
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<p>Lorem ipsum dolor sit amet, consectetur adipisicing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat. Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.</p>
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