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Display information for equation id:math.227493.2 on revision:227493

* Page found: Vector bundle (eq math.227493.2)

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Occurrences on the following pages:

Hash: 43c84076c2dbe57a5150a4e6f655b428

TeX (original user input):

 v {{\mapsto}} \varphi (x, v)

TeX (checked):

v{\mapsto }\varphi (x,v)

LaTeXML (experimental; uses MathML) rendering

MathML (1.862 KB / 554 B) :

v φ ( x , v ) maps-to 𝑣 𝜑 𝑥 𝑣 {\displaystyle v{{\mapsto}}\varphi(x,v)}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle v{{\mapsto}}\varphi(x,v)}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">
      <mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">v</mi>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml"></mo>
      <mrow id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">
        <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">φ</mi>
        <mo id="p1.1.m1.1.9.1.1" xref="p1.1.m1.1.9.1.1.cmml"></mo>
        <mrow id="p1.1.m1.1.9.1.2" xref="p1.1.m1.1.9.1.2.1.cmml">
          <mo stretchy="false" id="p1.1.m1.1.4" xref="p1.1.m1.1.9.1.2.1.cmml">(</mo>
          <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">x</mi>
          <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.9.1.2.1.cmml">,</mo>
          <mi id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">v</mi>
          <mo stretchy="false" id="p1.1.m1.1.8" xref="p1.1.m1.1.9.1.2.1.cmml">)</mo>
        </mrow>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">
        <csymbol cd="latexml" id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">maps-to</csymbol>
        <ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑣</ci>
        <apply id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">
          <times id="p1.1.m1.1.9.1.1.cmml" xref="p1.1.m1.1.9.1.1"/>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝜑</ci>
          <interval closure="open" id="p1.1.m1.1.9.1.2.1.cmml" xref="p1.1.m1.1.9.1.2">
            <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑥</ci>
            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">𝑣</ci>
          </interval>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle v{{\mapsto}}\varphi(x,v)}</annotation>
  </semantics>
</math>

SVG (4.801 KB / 2.047 KB) :

v right-arrow from bar phi times left-parenthesis x comma v right-parenthesis

SVG (MathML can be enabled via browser plugin) rendering

MathML (663 B / 331 B) :

v φ ( x , v ) {\displaystyle v{\mapsto }\varphi (x,v)}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle v{\mapsto }\varphi (x,v)}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi>v</mi>
        <mrow class="MJX-TeXAtom-ORD">
          <mo stretchy="false">&#x21A6;<!-- ↦ --></mo>
        </mrow>
        <mi>&#x03C6;<!-- φ --></mi>
        <mo stretchy="false">(</mo>
        <mi>x</mi>
        <mo>,</mo>
        <mi>v</mi>
        <mo stretchy="false">)</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle v{\mapsto }\varphi (x,v)}</annotation>
  </semantics>
</math>

SVG (4.042 KB / 1.917 KB) :

{\displaystyle v{\mapsto }\varphi (x,v)}

Translations to Computer Algebra Systems

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