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Display information for equation id:math.1435.110 on revision:1435

* Page found: Die Maxwell-Gleichungen (eq math.1435.110)

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TeX (original user input):

\begin{align}
& \frac{\partial }{\partial t}\bar{g}+\nabla \cdot \left( {\bar{\bar{T}}} \right)=-\left( \bar{E}\rho +\bar{j}\times \bar{B} \right) \\
& \bar{g}:=\left( \bar{D}\times \bar{B} \right) \\
& \left\{ \left( 1 \right)\frac{1}{2}\left( {{\varepsilon }_{0}}{{E}^{2}}+\frac{1}{{{\mu }_{0}}}{{B}^{2}} \right)-{{\varepsilon }_{0}}\bar{E}\otimes \bar{E}-\frac{1}{{{\mu }_{0}}}\bar{B}\otimes \bar{B} \right\}:=\left( {\bar{\bar{T}}} \right) \\
\end{align}

TeX (checked):

{\begin{aligned}&{\frac {\partial }{\partial t}}{\bar {g}}+\nabla \cdot \left({\bar {\bar {T}}}\right)=-\left({\bar {E}}\rho +{\bar {j}}\times {\bar {B}}\right)\\&{\bar {g}}:=\left({\bar {D}}\times {\bar {B}}\right)\\&\left\{\left(1\right){\frac {1}{2}}\left({{\varepsilon }_{0}}{{E}^{2}}+{\frac {1}{{\mu }_{0}}}{{B}^{2}}\right)-{{\varepsilon }_{0}}{\bar {E}}\otimes {\bar {E}}-{\frac {1}{{\mu }_{0}}}{\bar {B}}\otimes {\bar {B}}\right\}:=\left({\bar {\bar {T}}}\right)\\\end{aligned}}

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MathML (3.269 KB / 538 B) :

tg¯+(T¯¯)=(E¯ρ+j¯×B¯)g¯:=(D¯×B¯){(1)12(ε0E2+1μ0B2)ε0E¯E¯1μ0B¯B¯}:=(T¯¯)
<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"><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><mover><mi>g</mi><mo>¯</mo></mover><mo stretchy="false">+</mo><mi mathvariant="normal"></mi><mo stretchy="false"></mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mover><mi>T</mi><mo>¯</mo></mover><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mo stretchy="false"></mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>E</mi><mo>¯</mo></mover><mi>ρ</mi><mo stretchy="false">+</mo><mover><mi>j</mi><mo>¯</mo></mover><mo stretchy="false">×</mo><mover><mi>B</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mover><mi>g</mi><mo>¯</mo></mover><mo stretchy="false">:=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>D</mi><mo>¯</mo></mover><mo stretchy="false">×</mo><mover><mi>B</mi><mo>¯</mo></mover><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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><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><msup><mi>E</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo stretchy="false">+</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><msup><mi>B</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false"></mo><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mover><mi>E</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mover><mi>E</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msub><mi>μ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><mover><mi>B</mi><mo>¯</mo></mover><mo stretchy="false"></mo><mover><mi>B</mi><mo>¯</mo></mover><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo stretchy="false">:=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mover><mi>T</mi><mo>¯</mo></mover><mo>¯</mo></mover><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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Calculated based on the variables occurring on the entire Die Maxwell-Gleichungen page

Identifiers

  • t
  • g¯
  • T¯¯
  • E¯
  • ρ
  • j¯
  • B¯
  • g¯
  • D¯
  • B¯
  • ε0
  • E
  • μ0
  • B
  • ε0
  • E¯
  • E¯
  • μ0
  • B¯
  • B¯
  • T¯¯

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