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Display information for equation id:math.1432.5 on revision:1432
* Page found: Stationäre Ströme und Magnetfeld (eq math.1432.5)
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Hash: 1223466f7fde9f58cfdefd9189623c8f
TeX (original user input):
\Rightarrow \frac{d}{dt}\int_{V}^{{}}{{}}{{d}^{3}}r\rho (\bar{r},t)=-\oint\limits_{\partial V}{{}}d\bar{f}\bar{j}(\bar{r},t)=-\int_{V}^{{}}{{{d}^{3}}r}\nabla \cdot \bar{j}(\bar{r},t)
TeX (checked):
\Rightarrow {\frac {d}{dt}}\int _{V}^{}{}{{d}^{3}}r\rho ({\bar {r}},t)=-\oint \limits _{\partial V}{}d{\bar {f}}{\bar {j}}({\bar {r}},t)=-\int _{V}^{}{{{d}^{3}}r}\nabla \cdot {\bar {j}}({\bar {r}},t)
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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"><mo stretchy="false">⇒</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi></mrow></mrow></mfrac></mrow><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>V</mi></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>ρ</mi><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><munder><mo>∮</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>V</mi></mrow></mrow></munder><mi>d</mi><mover><mi>f</mi><mo>¯</mo></mover><mover><mi>j</mi><mo>¯</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mo stretchy="false">−</mo><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>r</mi></mrow><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mover><mi>j</mi><mo>¯</mo></mover><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo></mstyle></mrow></math>
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