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Display information for equation id:math.226376.4 on revision:226376

* Page found: Cotangent bundle (eq math.226376.4)

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Occurrences on the following pages:

Hash: 15dbd652074b62893930150dd248cd13

TeX (original user input): 

\phi^*T^*N

TeX (checked): 

\phi ^{*}T^{*}N

LaTeXML (experimental; uses MathML) rendering

MathML (1.801 KB / 501 B) :

ϕ * ⁢ T * ⁢ N superscript italic-ϕ superscript 𝑇 𝑁 {\displaystyle\phi^{*}T^{*}N} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\phi^{*}T^{*}N}" display="inline">
  <semantics id="p1.1.m1.1a">
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      <msup id="p1.1.m1.1.6.2" xref="p1.1.m1.1.6.2.cmml">
        <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">ϕ</mi>
        <mo id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">*</mo>
      </msup>
      <mo id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">⁢</mo>
      <msup id="p1.1.m1.1.6.3" xref="p1.1.m1.1.6.3.cmml">
        <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">T</mi>
        <mo id="p1.1.m1.1.4.1" xref="p1.1.m1.1.4.1.cmml">*</mo>
      </msup>
      <mo id="p1.1.m1.1.6.1a" xref="p1.1.m1.1.6.1.cmml">⁢</mo>
      <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">N</mi>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">
        <times id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1"/>
        <apply id="p1.1.m1.1.6.2.cmml" xref="p1.1.m1.1.6.2">
          <csymbol cd="ambiguous" id="p1.1.m1.1.6.2.1.cmml" xref="p1.1.m1.1.6.2">superscript</csymbol>
          <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">italic-ϕ</ci>
          <times id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1"/>
        </apply>
        <apply id="p1.1.m1.1.6.3.cmml" xref="p1.1.m1.1.6.3">
          <csymbol cd="ambiguous" id="p1.1.m1.1.6.3.1.cmml" xref="p1.1.m1.1.6.3">superscript</csymbol>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑇</ci>
          <times id="p1.1.m1.1.4.1.cmml" xref="p1.1.m1.1.4.1"/>
        </apply>
        <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑁</ci>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\phi^{*}T^{*}N}</annotation>
  </semantics>
</math>

SVG (4.056 KB / 1.828 KB) :

phi Superscript asterisk Baseline times upper T Superscript asterisk Baseline times upper N

SVG with PNG fallback (MathML can be enabled via browser plugin) rendering

MathML (691 B / 309 B) :

ϕ ∗ T ∗ N {\displaystyle \phi ^{*}T^{*}N} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \phi ^{*}T^{*}N}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <msup>
          <mi>&#x03D5;<!-- ϕ --></mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mo>&#x2217;<!-- ∗ --></mo>
          </mrow>
        </msup>
        <msup>
          <mi>T</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mo>&#x2217;<!-- ∗ --></mo>
          </mrow>
        </msup>
        <mi>N</mi>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle \phi ^{*}T^{*}N}</annotation>
  </semantics>
</math>

SVG (3.454 KB / 1.722 KB) :

{\displaystyle \phi ^{*}T^{*}N}

Translations to Computer Algebra Systems

Translation to Maple

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Translation to Mathematica

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