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Display information for equation id:math.222464.44 on revision:222464
* Page found: Semidirect product (eq math.222464.44)
(force rerendering)Occurrences on the following pages:
Hash: 4e31fdb639a5dc839c1b5bcc99e8c12a
TeX (original user input):
\varphi : \mathbb{Z} \to \mathrm{Aut}(\mathbb{Z})
TeX (checked):
\varphi :\mathbb {Z} \to \mathrm {Aut} (\mathbb {Z} )
LaTeXML (experimental; uses MathML) rendering
MathML (2.036 KB / 539 B) :
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<mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">φ</mi>
<mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">:</mo>
<mrow id="p1.1.m1.1.11.1" xref="p1.1.m1.1.11.1.cmml">
<mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">ℤ</mi>
<mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">→</mo>
<mrow id="p1.1.m1.1.11.1.1" xref="p1.1.m1.1.11.1.1.cmml">
<mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">Aut</mi>
<mo id="p1.1.m1.1.11.1.1.1" xref="p1.1.m1.1.11.1.1.1.cmml"></mo>
<mrow id="p1.1.m1.1.11.1.1.2" xref="p1.1.m1.1.11.1.1.cmml">
<mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.11.1.1.cmml">(</mo>
<mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">ℤ</mi>
<mo stretchy="false" id="p1.1.m1.1.10" xref="p1.1.m1.1.11.1.1.cmml">)</mo>
</mrow>
</mrow>
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</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">
<ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">:</ci>
<ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝜑</ci>
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<ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">→</ci>
<ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">ℤ</ci>
<apply id="p1.1.m1.1.11.1.1.cmml" xref="p1.1.m1.1.11.1.1">
<times id="p1.1.m1.1.11.1.1.1.cmml" xref="p1.1.m1.1.11.1.1.1"/>
<ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">Aut</ci>
<ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">ℤ</ci>
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</apply>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\varphi:{\mathbb{Z}}\to{\mathrm{Aut}}({\mathbb{Z}})}</annotation>
</semantics>
</math>
SVG (5.465 KB / 2.317 KB) :
SVG (MathML can be enabled via browser plugin) rendering
MathML (996 B / 374 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \varphi :\mathbb {Z} \to \mathrm {Aut} (\mathbb {Z} )}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>φ<!-- φ --></mi>
<mo>:</mo>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="double-struck">Z</mi>
</mrow>
<mo stretchy="false">→<!-- → --></mo>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="normal">A</mi>
<mi mathvariant="normal">u</mi>
<mi mathvariant="normal">t</mi>
</mrow>
<mo stretchy="false">(</mo>
<mrow class="MJX-TeXAtom-ORD">
<mi mathvariant="double-struck">Z</mi>
</mrow>
<mo stretchy="false">)</mo>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle \varphi :\mathbb {Z} \to \mathrm {Aut} (\mathbb {Z} )}</annotation>
</semantics>
</math>
SVG (4.671 KB / 2.183 KB) :
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Translation to Mathematica
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