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Display information for equation id:math.2147.9 on revision:2147
* Page found: Maxwell- Gleichungen in Materie (eq math.2147.9)
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Hash: 546e646a86fdd14fae5d85115a32c73f
TeX (original user input):
\begin{align}
& \Rightarrow 3)\nabla \cdot \left( {{\varepsilon }_{0}}\bar{E}\left( \bar{r},t \right)+\bar{P}\left( \bar{r},t \right) \right)=\rho \left( \bar{r},t \right) \\
& \left( {{\varepsilon }_{0}}\bar{E}\left( \bar{r},t \right)+\bar{P}\left( \bar{r},t \right) \right):=\bar{D}\left( \bar{r},t \right) \\
& \Rightarrow \nabla \cdot \bar{D}\left( \bar{r},t \right)=\rho \left( \bar{r},t \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&\Rightarrow 3)\nabla \cdot \left({{\varepsilon }_{0}}{\bar {E}}\left({\bar {r}},t\right)+{\bar {P}}\left({\bar {r}},t\right)\right)=\rho \left({\bar {r}},t\right)\\&\left({{\varepsilon }_{0}}{\bar {E}}\left({\bar {r}},t\right)+{\bar {P}}\left({\bar {r}},t\right)\right):={\bar {D}}\left({\bar {r}},t\right)\\&\Rightarrow \nabla \cdot {\bar {D}}\left({\bar {r}},t\right)=\rho \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"><mo stretchy="false">⇒</mo><mn>3</mn><mo stretchy="false">)</mo><mi mathvariant="normal">∇</mi><mo stretchy="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><mover><mi>E</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><mover><mi>P</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 data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>ρ</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"><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><mover><mi>E</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><mover><mi>P</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 data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">:=</mo><mover><mi>D</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></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><mi mathvariant="normal">∇</mi><mo stretchy="false">⋅</mo><mover><mi>D</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>ρ</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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