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Display information for equation id:math.1199.409 on revision:1199
* Page found: Elektrodynamik Schöll (eq math.1199.409)
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Hash: d4ee3cc78ca12b7f1ff7e9fd1693eb2a
TeX (original user input):
\begin{align}
& P:\left\{ {{\nabla }_{r}}\times \bar{E}=0 \right\}\to \left\{ {{\nabla }_{r}}\times \bar{E}=0 \right\} \\
& P:\left\{ {{\varepsilon }_{0}}{{\nabla }_{r}}\cdot \bar{E}=\rho \right\}\to \left\{ {{\varepsilon }_{0}}{{\nabla }_{r}}\cdot \bar{E}=\rho \right\} \\
& P:\left\{ {{\nabla }_{r}}\cdot \bar{B}=0 \right\}\to \left\{ -{{\nabla }_{r}}\cdot \bar{B}=0 \right\} \\
& P:\left\{ \nabla \times \bar{B}={{\mu }_{0}}\bar{j} \right\}\to \left\{ -\nabla \times \bar{B}=-{{\mu }_{0}}\bar{j} \right\} \\
\end{align}
TeX (checked):
{\begin{aligned}&P:\left\{{{\nabla }_{r}}\times {\bar {E}}=0\right\}\to \left\{{{\nabla }_{r}}\times {\bar {E}}=0\right\}\\&P:\left\{{{\varepsilon }_{0}}{{\nabla }_{r}}\cdot {\bar {E}}=\rho \right\}\to \left\{{{\varepsilon }_{0}}{{\nabla }_{r}}\cdot {\bar {E}}=\rho \right\}\\&P:\left\{{{\nabla }_{r}}\cdot {\bar {B}}=0\right\}\to \left\{-{{\nabla }_{r}}\cdot {\bar {B}}=0\right\}\\&P:\left\{\nabla \times {\bar {B}}={{\mu }_{0}}{\bar {j}}\right\}\to \left\{-\nabla \times {\bar {B}}=-{{\mu }_{0}}{\bar {j}}\right\}\\\end{aligned}}
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<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><mi>P</mi><mi>:</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo>×</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mn>0</mn><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo accent="false">→</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo>×</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mn>0</mn><mo data-mjx-texclass="CLOSE">}</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>P</mi><mi>:</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo>⋅</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mi>ρ</mi><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo accent="false">→</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo>⋅</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mi>ρ</mi><mo data-mjx-texclass="CLOSE">}</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>P</mi><mi>:</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo>⋅</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mn>0</mn><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo accent="false">→</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mo>−</mo><msub><mi mathvariant="normal">∇</mi><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></msub><mo>⋅</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mn>0</mn><mo data-mjx-texclass="CLOSE">}</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>P</mi><mi>:</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mi mathvariant="normal">∇</mi><mo>×</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo accent="false">→</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mo>−</mo><mi mathvariant="normal">∇</mi><mo>×</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mo>−</mo><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>j</mi><mo>¯</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">}</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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