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Display information for equation id:math.2123.5 on revision:2123
* Page found: Eichinvarianz (eq math.2123.5)
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Hash: 18823c825d13ffdecda2db5c0e8ddc35
TeX (original user input):
\begin{align}
& F\left( \bar{r},t \right):=G\left( \bar{r},t \right)-\int_{to}^{t}{dt\acute{\ }g(t\acute{\ })} \\
& \Rightarrow \bar{A}\acute{\ }\left( \bar{r},t \right)=\bar{A}\left( \bar{r},t \right)+\nabla F\left( \bar{r},t \right) \\
& \Phi \acute{\ }\left( \bar{r},t \right)=\Phi \left( \bar{r},t \right)-\frac{\partial }{\partial t}F\left( \bar{r},t \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&F\left({\bar {r}},t\right):=G\left({\bar {r}},t\right)-\int _{to}^{t}{dt{\acute {\ }}g(t{\acute {\ }})}\\&\Rightarrow {\bar {A}}{\acute {\ }}\left({\bar {r}},t\right)={\bar {A}}\left({\bar {r}},t\right)+\nabla F\left({\bar {r}},t\right)\\&\Phi {\acute {\ }}\left({\bar {r}},t\right)=\Phi \left({\bar {r}},t\right)-{\frac {\partial }{\partial t}}F\left({\bar {r}},t\right)\\\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"><mi>F</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">:=</mo><mi>G</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>t</mi><mi>o</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mi>g</mi><mo stretchy="false">(</mo><mi>t</mi><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><mover><mi>A</mi><mo>¯</mo></mover><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mover><mi>A</mi><mo>¯</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">+</mo><mi mathvariant="normal">∇</mi><mi>F</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>Φ</mi><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>Φ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mi>F</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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