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Display information for equation id:math.1199.548 on revision:1199
* Page found: Elektrodynamik Schöll (eq math.1199.548)
(force rerendering)Occurrences on the following pages:
Hash: 031d7307275afe69e5b707bf6521da10
TeX (original user input):
\begin{align}
& \frac{\partial }{\partial t}\rho +\nabla \cdot {{{\bar{j}}}_{l}}+\nabla \cdot {{{\bar{j}}}_{t}}=0 \\
& \rho ={{\varepsilon }_{0}}\nabla \cdot {{{\bar{E}}}_{l}} \\
& \nabla \cdot {{{\bar{j}}}_{t}}=0 \\
& \Rightarrow \nabla \cdot \left( {{{\bar{j}}}_{l}}+{{\varepsilon }_{0}}\frac{\partial }{\partial t}{{{\bar{E}}}_{l}} \right)=0 \\
\end{align}
TeX (checked):
{\begin{aligned}&{\frac {\partial }{\partial t}}\rho +\nabla \cdot {{\bar {j}}_{l}}+\nabla \cdot {{\bar {j}}_{t}}=0\\&\rho ={{\varepsilon }_{0}}\nabla \cdot {{\bar {E}}_{l}}\\&\nabla \cdot {{\bar {j}}_{t}}=0\\&\Rightarrow \nabla \cdot \left({{\bar {j}}_{l}}+{{\varepsilon }_{0}}{\frac {\partial }{\partial t}}{{\bar {E}}_{l}}\right)=0\\\end{aligned}}
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MathML (2.617 KB / 443 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><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>ρ</mi><mo>+</mo><mi mathvariant="normal">∇</mi><mo>⋅</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo>+</mo><mi mathvariant="normal">∇</mi><mo>⋅</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mi>ρ</mi><mo>=</mo><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi mathvariant="normal">∇</mi><mo>⋅</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mi mathvariant="normal">∇</mi><mo>⋅</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi mathvariant="normal">∇</mi><mo>⋅</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo>+</mo><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><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><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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