Jump to navigation Jump to search

General

Display information for equation id:math.248805.17 on revision:248805

* Page found: Gradient theorem (eq math.248805.17)

(force rerendering)

Occurrences on the following pages:

Hash: c104626db4c1cf62e249164f0d80e41c

TeX (original user input): 

\int_{\partial \Omega}\omega=\int_{\Omega}d\omega

TeX (checked): 

\int _{\partial \Omega }\omega =\int _{\Omega }d\omega

LaTeXML (experimental; uses MathML) rendering

MathML (3.33 KB / 766 B) :

∫ ∂ ⁡ Ω ω = ∫ Ω 𝑑 ω subscript Ω 𝜔 subscript Ω differential-d 𝜔 {\displaystyle\int_{{\partial\Omega}}\omega=\int_{{\Omega}}d\omega} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\int_{{\partial\Omega}}\omega=\int_{{\Omega}}d\omega}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">
      <mrow id="p1.1.m1.1.9.1" xref="p1.1.m1.1.9.1.cmml">
        <mstyle displaystyle="true" id="p1.1.m1.1.9.1.1" xref="p1.1.m1.1.9.1.1.cmml">
          <msub id="p1.1.m1.1.9.1.1a" xref="p1.1.m1.1.9.1.1.cmml">
            <mo largeop="true" symmetric="true" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">∫</mo>
            <mrow id="p1.1.m1.1.2.1" xref="p1.1.m1.1.2.1.cmml">
              <mo id="p1.1.m1.1.2.1.1" xref="p1.1.m1.1.2.1.1.cmml">∂</mo>
              <mo id="p1.1.m1.1.2.1a" xref="p1.1.m1.1.2.1.cmml">⁡</mo>
              <mi mathvariant="normal" id="p1.1.m1.1.2.1.2" xref="p1.1.m1.1.2.1.2.cmml">Ω</mi>
            </mrow>
          </msub>
        </mstyle>
        <mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">ω</mi>
      </mrow>
      <mo id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">=</mo>
      <mrow id="p1.1.m1.1.9.2" xref="p1.1.m1.1.9.2.cmml">
        <mstyle displaystyle="true" id="p1.1.m1.1.9.2.1" xref="p1.1.m1.1.9.2.1.cmml">
          <msub id="p1.1.m1.1.9.2.1a" xref="p1.1.m1.1.9.2.1.cmml">
            <mo largeop="true" symmetric="true" id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">∫</mo>
            <mi mathvariant="normal" id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">Ω</mi>
          </msub>
        </mstyle>
        <mrow id="p1.1.m1.1.9.2.2" xref="p1.1.m1.1.9.2.2.cmml">
          <mo rspace="0pt" id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml">𝑑</mo>
          <mi id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">ω</mi>
        </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">
        <eq id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
        <apply id="p1.1.m1.1.9.1.cmml" xref="p1.1.m1.1.9.1">
          <apply id="p1.1.m1.1.9.1.1.cmml" xref="p1.1.m1.1.9.1.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.9.1.1.1.cmml" xref="p1.1.m1.1.9.1.1">subscript</csymbol>
            <int id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
            <apply id="p1.1.m1.1.2.1.cmml" xref="p1.1.m1.1.2.1">
              <partialdiff id="p1.1.m1.1.2.1.1.cmml" xref="p1.1.m1.1.2.1.1"/>
              <ci id="p1.1.m1.1.2.1.2.cmml" xref="p1.1.m1.1.2.1.2">Ω</ci>
            </apply>
          </apply>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝜔</ci>
        </apply>
        <apply id="p1.1.m1.1.9.2.cmml" xref="p1.1.m1.1.9.2">
          <apply id="p1.1.m1.1.9.2.1.cmml" xref="p1.1.m1.1.9.2.1">
            <csymbol cd="ambiguous" id="p1.1.m1.1.9.2.1.1.cmml" xref="p1.1.m1.1.9.2.1">subscript</csymbol>
            <int id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5"/>
            <ci id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">Ω</ci>
          </apply>
          <apply id="p1.1.m1.1.9.2.2.cmml" xref="p1.1.m1.1.9.2.2">
            <csymbol cd="latexml" id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">differential-d</csymbol>
            <ci id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8">𝜔</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\int_{{\partial\Omega}}\omega=\int_{{\Omega}}d\omega}</annotation>
  </semantics>
</math>

SVG (5.343 KB / 2.164 KB) :

integral Underscript partial-differential normal upper Omega Endscripts omega equals integral Underscript normal upper Omega Endscripts italic d omega

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

MathML (987 B / 365 B) :

∫ ∂ Ω ω = ∫ Ω d ω {\displaystyle \int _{\partial \Omega }\omega =\int _{\Omega }d\omega } 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \int _{\partial \Omega }\omega =\int _{\Omega }d\omega }">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <msub>
          <mo>&#x222B;<!-- ∫ --></mo>
          <mrow class="MJX-TeXAtom-ORD">
            <mi mathvariant="normal">&#x2202;<!-- ∂ --></mi>
            <mi mathvariant="normal">&#x03A9;<!-- Ω --></mi>
          </mrow>
        </msub>
        <mi>&#x03C9;<!-- ω --></mi>
        <mo>=</mo>
        <msub>
          <mo>&#x222B;<!-- ∫ --></mo>
          <mrow class="MJX-TeXAtom-ORD">
            <mi mathvariant="normal">&#x03A9;<!-- Ω --></mi>
          </mrow>
        </msub>
        <mi>d</mi>
        <mi>&#x03C9;<!-- ω --></mi>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle \int _{\partial \Omega }\omega =\int _{\Omega }d\omega }</annotation>
  </semantics>
</math>

SVG (4.231 KB / 1.991 KB) :

{\displaystyle \int _{\partial \Omega }\omega =\int _{\Omega }d\omega }

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Gradient theorem page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "https://en.formulasearchengine.com/wiki/Special:FormulaInfo"