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Display information for equation id:math.2177.4 on revision:2177
* Page found: Eichinvarianz und Ladungserhaltung (eq math.2177.4)
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Hash: 8cab168a12ce5041a6e84e2bff4f3e8e
TeX (original user input):
\begin{align}
& {{W}_{t}}=-c\int_{{}}^{{}}{{}}{{d}^{3}}rm\int_{1}^{2}{{}}ds=-\int_{\Omega }^{{}}{{}}d\Omega m\frac{ds}{dt} \\
& d\Omega :={{d}^{3}}rcdt=d{{x}^{0}}d{{x}^{1}}d{{x}^{2}}d{{x}^{3}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{W}_{t}}=-c\int _{}^{}{}{{d}^{3}}rm\int _{1}^{2}{}ds=-\int _{\Omega }^{}{}d\Omega m{\frac {ds}{dt}}\\&d\Omega :={{d}^{3}}rcdt=d{{x}^{0}}d{{x}^{1}}d{{x}^{2}}d{{x}^{3}}\\\end{aligned}}
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<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>W</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">=</mo><mo stretchy="false">−</mo><mi>c</mi><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mi>m</mi><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msubsup><mi>d</mi><mi>s</mi><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>Ω</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mi>d</mi><mi>Ω</mi><mi>m</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>s</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>d</mi><mi>Ω</mi><mo stretchy="false">:=</mo><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi><mi>c</mi><mi>d</mi><mi>t</mi><mo stretchy="false">=</mo><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msup><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>d</mi><msup><mi>x</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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