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Display information for equation id:math.2174.0 on revision:2174
* Page found: Transformationsverhalten der Ströme und Felder (eq math.2174.0)
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Hash: 096e7b0b53663404f3c9d8ba7c5eb7cf
TeX (original user input):
\begin{align}
& div\bar{j}+\frac{\partial \rho }{\partial t}=\frac{\partial {{j}_{x}}}{\partial x}+\frac{\partial {{j}_{y}}}{\partial y}+\frac{\partial {{j}_{z}}}{\partial z}+\frac{\partial c\rho }{\partial ct}=0 \\
& 0=\frac{\partial \rho }{\partial t}+\sum\limits_{\alpha =1}^{3}{{}}{{\partial }_{\alpha }}{{j}^{\alpha }} \\
\end{align}
TeX (checked):
{\begin{aligned}&div{\bar {j}}+{\frac {\partial \rho }{\partial t}}={\frac {\partial {{j}_{x}}}{\partial x}}+{\frac {\partial {{j}_{y}}}{\partial y}}+{\frac {\partial {{j}_{z}}}{\partial z}}+{\frac {\partial c\rho }{\partial ct}}=0\\&0={\frac {\partial \rho }{\partial t}}+\sum \limits _{\alpha =1}^{3}{}{{\partial }_{\alpha }}{{j}^{\alpha }}\\\end{aligned}}
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MathML (2.78 KB / 443 B) :
<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>d</mi><mi>i</mi><mi>v</mi><mover><mi>j</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ρ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>j</mi><mrow data-mjx-texclass="ORD"><mi>x</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>x</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>j</mi><mrow data-mjx-texclass="ORD"><mi>y</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>y</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>j</mi><mrow data-mjx-texclass="ORD"><mi>z</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>z</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>c</mi><mi>ρ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>c</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">=</mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mn>0</mn><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ρ</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>t</mi></mrow></mrow></mfrac></mrow><mo stretchy="false">+</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mo stretchy="false">=</mo><mn>1</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></munderover><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><msup><mi>j</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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