LaTeXML
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<?xml version="1.0" encoding="UTF-8"?>
<?latexml class="article"?>
<?latexml package="cases"?>
<?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"/>
<para xml:id="p1">
<equationgroup class="ltx_eqn_numcases" xml:id="S0.EGx1">
<equation xml:id="S0.E1">
<tags>
<tag>(1)</tag>
<tag role="refnum">1</tag>
</tags>
<MathFork>
<Math tex="\displaystyle|x|=x,for x\geq 0" text="formulae@(absolute-value@(x) = x, [for ] * x >= 0)" xml:id="S0.E1.m4">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="formulae"/>
<XMRef idref="S0.E1.m4.2"/>
<XMRef idref="S0.E1.m4.3"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S0.E1.m4.2">
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMDual>
<XMApp>
<XMTok meaning="absolute-value"/>
<XMRef idref="S0.E1.m4.1"/>
</XMApp>
<XMWrap>
<XMTok role="OPEN" stretchy="false">|</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S0.E1.m4.1">x</XMTok>
<XMTok role="CLOSE" stretchy="false">|</XMTok>
</XMWrap>
</XMDual>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
</XMApp>
<XMTok role="PUNCT">,</XMTok>
<XMApp xml:id="S0.E1.m4.3">
<XMTok meaning="greater-than-or-equals" name="geq" role="RELOP">â¥</XMTok>
<XMApp>
<XMTok meaning="times" role="MULOP">â¢</XMTok>
<XMText>for </XMText>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
</XMApp>
<XMTok meaning="0" role="NUMBER">0</XMTok>
</XMApp>
</XMWrap>
</XMDual>
</XMath>
</Math>
<MathBranch>
<td align="right"><Math mode="inline" tex="\displaystyle|x|=" text="absolute-value@(x) = absent" xml:id="S0.E1.m1">
<XMath>
<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMDual>
<XMApp>
<XMTok meaning="absolute-value"/>
<XMRef idref="S0.E1.m1.1"/>
</XMApp>
<XMWrap>
<XMTok role="OPEN" stretchy="false">|</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S0.E1.m1.1">x</XMTok>
<XMTok role="CLOSE" stretchy="false">|</XMTok>
</XMWrap>
</XMDual>
<XMTok meaning="absent"/>
</XMApp>
</XMath>
</Math></td>
<td align="left"><Math mode="inline" tex="\displaystyle x," text="x" xml:id="S0.E1.m2">
<XMath>
<XMDual>
<XMRef idref="S0.E1.m2.1"/>
<XMWrap>
<XMTok font="italic" role="UNKNOWN" xml:id="S0.E1.m2.1">x</XMTok>
<XMTok role="PUNCT">,</XMTok>
</XMWrap>
</XMDual>
</XMath>
</Math></td>
<td align="left">for <Math mode="inline" tex="x\geq 0" text="x >= 0" xml:id="S0.E1.m3">
<XMath>
<XMApp>
<XMTok meaning="greater-than-or-equals" name="geq" role="RELOP">â¥</XMTok>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
<XMTok meaning="0" role="NUMBER">0</XMTok>
</XMApp>
</XMath>
</Math></td>
</MathBranch>
</MathFork>
</equation>
<equation xml:id="S0.E2">
<tags>
<tag>(2)</tag>
<tag role="refnum">2</tag>
</tags>
<MathFork>
<Math tex="\displaystyle|x|=-x,for x<0" text="formulae@(absolute-value@(x) = - x, [for ] * x < 0)" xml:id="S0.E2.m4">
<XMath>
<XMDual>
<XMApp>
<XMTok meaning="formulae"/>
<XMRef idref="S0.E2.m4.2"/>
<XMRef idref="S0.E2.m4.3"/>
</XMApp>
<XMWrap>
<XMApp xml:id="S0.E2.m4.2">
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMDual>
<XMApp>
<XMTok meaning="absolute-value"/>
<XMRef idref="S0.E2.m4.1"/>
</XMApp>
<XMWrap>
<XMTok role="OPEN" stretchy="false">|</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S0.E2.m4.1">x</XMTok>
<XMTok role="CLOSE" stretchy="false">|</XMTok>
</XMWrap>
</XMDual>
<XMApp>
<XMTok meaning="minus" role="ADDOP">-</XMTok>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
</XMApp>
</XMApp>
<XMTok role="PUNCT">,</XMTok>
<XMApp xml:id="S0.E2.m4.3">
<XMTok meaning="less-than" role="RELOP"><</XMTok>
<XMApp>
<XMTok meaning="times" role="MULOP">â¢</XMTok>
<XMText>for </XMText>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
</XMApp>
<XMTok meaning="0" role="NUMBER">0</XMTok>
</XMApp>
</XMWrap>
</XMDual>
</XMath>
</Math>
<MathBranch>
<td align="right"><Math mode="inline" tex="\displaystyle|x|=" text="absolute-value@(x) = absent" xml:id="S0.E2.m1">
<XMath>
<XMApp>
<XMTok meaning="equals" role="RELOP">=</XMTok>
<XMDual>
<XMApp>
<XMTok meaning="absolute-value"/>
<XMRef idref="S0.E2.m1.1"/>
</XMApp>
<XMWrap>
<XMTok role="OPEN" stretchy="false">|</XMTok>
<XMTok font="italic" role="UNKNOWN" xml:id="S0.E2.m1.1">x</XMTok>
<XMTok role="CLOSE" stretchy="false">|</XMTok>
</XMWrap>
</XMDual>
<XMTok meaning="absent"/>
</XMApp>
</XMath>
</Math></td>
<td align="left"><Math mode="inline" tex="\displaystyle-x," text="- x" xml:id="S0.E2.m2">
<XMath>
<XMDual>
<XMRef idref="S0.E2.m2.1"/>
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