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<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>Known Negations</title>
<para xml:id="S1.p1">
<equation xml:id="S1.Ex1">
<Math mode="display" tex="\not=,\not<,\not\leq,\not\ll,\not\prec,\not\preceq,\not\subset,\not\subseteq,% \not\sqsubseteq,\not\lhd,\not\unlhd,\not\asymp" text="list@(not-equals, not-less-than, not-less-than-or-equals, not-much-less-than, not-precedes, not-precedes-or-equals, not-subset-of, not-subset-of-or-equals, not-square-image-of-or-equals, not-subgroup-of, not-subgroup-of-or-equals, not-asymptotically-equals)" xml:id="S1.Ex1.m1">
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<XMTok meaning="list"/>
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<XMRef idref="S1.Ex1.m1.2"/>
<XMRef idref="S1.Ex1.m1.3"/>
<XMRef idref="S1.Ex1.m1.4"/>
<XMRef idref="S1.Ex1.m1.5"/>
<XMRef idref="S1.Ex1.m1.6"/>
<XMRef idref="S1.Ex1.m1.7"/>
<XMRef idref="S1.Ex1.m1.8"/>
<XMRef idref="S1.Ex1.m1.9"/>
<XMRef idref="S1.Ex1.m1.10"/>
<XMRef idref="S1.Ex1.m1.11"/>
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<XMTok meaning="not-equals" name="not-=" role="RELOP" xml:id="S1.Ex1.m1.1">≠</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-less-than" name="not-<" role="RELOP" xml:id="S1.Ex1.m1.2">≮</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-less-than-or-equals" name="not-leq" role="RELOP" xml:id="S1.Ex1.m1.3">≰</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-much-less-than" name="not-ll" role="RELOP" xml:id="S1.Ex1.m1.4">≪̸</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-precedes" name="not-prec" role="RELOP" xml:id="S1.Ex1.m1.5">⊀</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-precedes-or-equals" name="not-preceq" role="RELOP" xml:id="S1.Ex1.m1.6">⋠</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-subset-of" name="not-subset" role="RELOP" xml:id="S1.Ex1.m1.7">⊄</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-subset-of-or-equals" name="not-subseteq" role="RELOP" xml:id="S1.Ex1.m1.8">⊈</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-square-image-of-or-equals" name="not-sqsubseteq" role="RELOP" xml:id="S1.Ex1.m1.9">⋢</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-subgroup-of" name="not-lhd" role="ADDOP" xml:id="S1.Ex1.m1.10">⋪</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-subgroup-of-or-equals" name="not-unlhd" role="ADDOP" xml:id="S1.Ex1.m1.11">⋬</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-asymptotically-equals" name="not-asymp" role="RELOP" xml:id="S1.Ex1.m1.12">≭</XMTok>
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</Math>
</equation>
<equation xml:id="S1.Ex2">
<Math mode="display" tex="\not\equiv,\not>,\not\geq,\not\gg,\not\succ,\not\succeq,\not\supset,\not% \supseteq,\not\sqsupseteq,\not\rhd,\not\unrhd,\not\approx," text="list@(not-equivalent-to, not-greater-than, not-greater-than-or-equals, not-much-greater-than, not-succeeds, not-succeeds-or-equals, not-superset-of, not-superset-of-or-equals, not-square-original-of-or-equals, not-contains-as-subgroup, not-contains-as-subgroup-or-equals, not-approximately-equals)" xml:id="S1.Ex2.m1">
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<XMDual xml:id="S1.Ex2.m1.13">
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<XMTok meaning="list"/>
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<XMRef idref="S1.Ex2.m1.4"/>
<XMRef idref="S1.Ex2.m1.5"/>
<XMRef idref="S1.Ex2.m1.6"/>
<XMRef idref="S1.Ex2.m1.7"/>
<XMRef idref="S1.Ex2.m1.8"/>
<XMRef idref="S1.Ex2.m1.9"/>
<XMRef idref="S1.Ex2.m1.10"/>
<XMRef idref="S1.Ex2.m1.11"/>
<XMRef idref="S1.Ex2.m1.12"/>
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<XMTok meaning="not-equivalent-to" name="not-equiv" role="RELOP" xml:id="S1.Ex2.m1.1">≢</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-greater-than" name="not->" role="RELOP" xml:id="S1.Ex2.m1.2">≯</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-greater-than-or-equals" name="not-geq" role="RELOP" xml:id="S1.Ex2.m1.3">≱</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-much-greater-than" name="not-gg" role="RELOP" xml:id="S1.Ex2.m1.4">≫̸</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-succeeds" name="not-succ" role="RELOP" xml:id="S1.Ex2.m1.5">⊁</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-succeeds-or-equals" name="not-succeq" role="RELOP" xml:id="S1.Ex2.m1.6">⋡</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-superset-of" name="not-supset" role="RELOP" xml:id="S1.Ex2.m1.7">⊅</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-superset-of-or-equals" name="not-supseteq" role="RELOP" xml:id="S1.Ex2.m1.8">⊉</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-square-original-of-or-equals" name="not-sqsupseteq" role="RELOP" xml:id="S1.Ex2.m1.9">⋣</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-contains-as-subgroup" name="not-rhd" role="ADDOP" xml:id="S1.Ex2.m1.10">⋫</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-contains-as-subgroup-or-equals" name="not-unrhd" role="ADDOP" xml:id="S1.Ex2.m1.11">⋭</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-approximately-equals" name="not-approx" role="RELOP" xml:id="S1.Ex2.m1.12">≉</XMTok>
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<XMTok role="PUNCT">,</XMTok>
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</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>Unknown Negations of Characters</title>
<para xml:id="S2.p1">
<equation xml:id="S2.Ex3">
<Math mode="display" tex="\not a,\not\alpha" text="list@(not-a, not-alpha)" xml:id="S2.Ex3.m1">
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<XMTok meaning="list"/>
<XMRef idref="S2.Ex3.m1.1"/>
<XMRef idref="S2.Ex3.m1.2"/>
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<XMTok font="italic" name="not-a" role="UNKNOWN" xml:id="S2.Ex3.m1.1">a̸</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok font="italic" name="not-alpha" role="UNKNOWN" xml:id="S2.Ex3.m1.2">α̸</XMTok>
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</equation>
</para>
<para xml:id="S2.p2">
<equation xml:id="S2.Ex4">
<Math mode="display" tex="\not+,\not 4" text="list@(not-plus, not-4)" xml:id="S2.Ex4.m1">
<XMath>
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<XMTok meaning="list"/>
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<XMTok meaning="not-plus" name="not-+" role="ADDOP" xml:id="S2.Ex4.m1.1">+̸</XMTok>
<XMTok role="PUNCT">,</XMTok>
<XMTok meaning="not-4" name="not-4" role="NUMBER" xml:id="S2.Ex4.m1.2">4̸</XMTok>
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</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>Random Negations</title>
<para xml:id="S3.p1">
<equation xml:id="S3.Ex5">
<Math mode="display" tex="\not\sin" text="not@(sine)" xml:id="S3.Ex5.m1">
<XMath>
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<XMTok enclose="updiagonalstrike" meaning="not" role="ENCLOSE"/>
<XMTok meaning="sine" role="TRIGFUNCTION">sin</XMTok>
</XMApp>
</XMath>
</Math>
</equation>
<equation xml:id="S3.Ex6">
<Math mode="display" tex="\not\operatorname{R}" text="not@(R)" xml:id="S3.Ex6.m1">
<XMath>
<XMApp>
<XMTok enclose="updiagonalstrike" meaning="not" role="ENCLOSE"/>
<XMTok role="OPFUNCTION" scriptpos="post">R</XMTok>
</XMApp>
</XMath>
</Math>
</equation>
<equation xml:id="S3.Ex7">
<Math mode="display" tex="\not\sqrt{x}" text="not@(square-root@(x))" xml:id="S3.Ex7.m1">
<XMath>
<XMApp>
<XMTok enclose="updiagonalstrike" meaning="not" role="ENCLOSE"/>
<XMApp>
<XMTok meaning="square-root"/>
<XMTok font="italic" role="UNKNOWN">x</XMTok>
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</Math>
</equation>
<equation xml:id="S3.Ex8">
<Math mode="display" tex="\not\frac{1}{2}" text="not@(1 / 2)" xml:id="S3.Ex8.m1">
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<XMTok enclose="updiagonalstrike" meaning="not" role="ENCLOSE"/>
<XMApp>
<XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
<XMTok meaning="1" role="NUMBER">1</XMTok>
<XMTok meaning="2" role="NUMBER">2</XMTok>
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</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>Falling off the End</title>
<para xml:id="S4.p1">
<equation xml:id="S4.Ex9">
<Math mode="display" tex="a/bc\not" text="(a / b) * c * not" xml:id="S4.Ex9.m1">
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<XMApp>
<XMTok meaning="times" role="MULOP"></XMTok>
<XMApp>
<XMTok meaning="divide" role="MULOP">/</XMTok>
<XMTok font="italic" role="UNKNOWN">a</XMTok>
<XMTok font="italic" role="UNKNOWN">b</XMTok>
</XMApp>
<XMTok font="italic" role="UNKNOWN">c</XMTok>
<XMTok meaning="not" role="OPFUNCTION">／</XMTok>
</XMApp>
</XMath>
</Math>
</equation>
<equation xml:id="S4.Ex10">
<Math mode="display" tex="\frac{a\not}{b}" text="(a * not) / b" xml:id="S4.Ex10.m1">
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<XMTok mathstyle="display" meaning="divide" role="FRACOP"/>
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<XMTok meaning="not" role="OPFUNCTION">／</XMTok>
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<XMTok font="italic" role="UNKNOWN">b</XMTok>
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</para>
</section>
</document>