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Display information for equation id:math.224335.4 on revision:224335

* Page found: Splitting lemma (eq math.224335.4)

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Occurrences on the following pages:

Hash: ae097de0be28a73ceea5824b66f75f40

TeX (original user input): 

V \approx \ker T \oplus \operatorname{im}\,T

TeX (checked): 

V\approx \ker T\oplus \operatorname {im} \,T

LaTeXML (experimental; uses MathML) rendering

MathML (2.201 KB / 585 B) :

V ≈ ker ⁡ T ⊕ im ⁡ T 𝑉 direct-sum kernel 𝑇 im 𝑇 {\displaystyle V\approx\ker T\oplus\operatorname{im}\,T} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle V\approx\ker T\oplus\operatorname{im}\,T}" display="inline">
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          <mo id="p1.1.m1.1.10.1.1a" xref="p1.1.m1.1.10.1.1.cmml">⁡</mo>
          <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">T</mi>
        </mrow>
        <mo id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">⊕</mo>
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            <mi id="p1.1.m1.1.7a" xref="p1.1.m1.1.7.cmml">im</mi>
          </mpadded>
          <mo id="p1.1.m1.1.10.1.2a" xref="p1.1.m1.1.10.1.2.cmml">⁡</mo>
          <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">T</mi>
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            <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">im</ci>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝑇</ci>
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    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle V\approx\ker T\oplus\operatorname{im}\,T}</annotation>
  </semantics>
</math>

SVG (7.158 KB / 3.094 KB) :

upper V almost-equals kernel upper T circled-plus im upper T

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

MathML (659 B / 340 B) :

V ≈ ker ⁡ T ⊕ im T {\displaystyle V\approx \ker T\oplus \operatorname {im} \,T} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle V\approx \ker T\oplus \operatorname {im} \,T}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi>V</mi>
        <mo>&#x2248;<!-- ≈ --></mo>
        <mi>ker</mi>
        <mo>&#x2061;<!-- ⁡ --></mo>
        <mi>T</mi>
        <mo>&#x2295;<!-- ⊕ --></mo>
        <mi>im</mi>
        <mspace width="thinmathspace" />
        <mi>T</mi>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle V\approx \ker T\oplus \operatorname {im} \,T}</annotation>
  </semantics>
</math>

SVG (6.392 KB / 2.966 KB) :

{\displaystyle V\approx \ker T\oplus \operatorname {im} \,T}

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