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Display information for equation id:math.1438.10 on revision:1438

* Page found: Elektromagnetische Wellen (eq math.1438.10)

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Hash: deb8d93a08533c3752bced8f47544ee8

TeX (original user input):

\begin{align}
& \nabla \times \bar{B}={{\varepsilon }_{0}}{{\mu }_{0}}\dot{\bar{E}} \\
& \nabla \times \bar{E}=-\dot{\bar{B}} \\
& \Rightarrow mit\quad \nabla \cdot \bar{E}=0 \\
& \left( \Delta -{{\varepsilon }_{0}}{{\mu }_{0}}\frac{{{\partial }^{2}}}{\partial {{t}^{2}}} \right)\bar{E}=0 \\
\end{align}

TeX (checked):

{\begin{aligned}&\nabla \times {\bar {B}}={{\varepsilon }_{0}}{{\mu }_{0}}{\dot {\bar {E}}}\\&\nabla \times {\bar {E}}=-{\dot {\bar {B}}}\\&\Rightarrow mit\quad \nabla \cdot {\bar {E}}=0\\&\left(\Delta -{{\varepsilon }_{0}}{{\mu }_{0}}{\frac {{\partial }^{2}}{\partial {{t}^{2}}}}\right){\bar {E}}=0\\\end{aligned}}

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MathML (2.475 KB / 487 B) :

×B¯=ε0μ0E¯˙×E¯=B¯˙mitE¯=0(Δε0μ02t2)E¯=0
<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 mathvariant="normal">&#x2207;</mi><mo>&#x00D7;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi>&#x03BC;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi mathvariant="normal">&#x2207;</mi><mo>&#x00D7;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>B</mi><mo>¯</mo></mover></mrow></mrow><mo>˙</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D2;</mo><mi>m</mi><mi>i</mi><mi>t</mi><mspace width="1em"></mspace><mi mathvariant="normal">&#x2207;</mi><mo>&#x22C5;</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></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi mathvariant="normal">&#x0394;</mi><mo>&#x2212;</mo><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msub><mi>&#x03BC;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>&#x2202;</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Elektromagnetische Wellen page

Identifiers

  • B¯
  • ε0
  • μ0
  • E¯˙
  • E¯
  • B¯˙
  • m
  • i
  • t
  • E¯
  • Δ
  • ε0
  • μ0
  • t
  • E¯

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