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Display information for equation id:math.1444.68 on revision:1444

* Page found: Materie in elektrischen und magnetischen Feldern (eq math.1444.68)

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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}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (25.425 KB / 2.992 KB) :

3 ) ( ε 0 E ¯ ( r ¯ , t ) + P ¯ ( r ¯ , t ) ) = ρ ( r ¯ , t ) ( ε 0 E ¯ ( r ¯ , t ) + P ¯ ( r ¯ , t ) ) := D ¯ ( r ¯ , t ) D ¯ ( r ¯ , t ) = ρ ( r ¯ , t ) missing-subexpression fragments 3 ) ( subscript 𝜀 0 ¯ 𝐸 fragments ( ¯ 𝑟 , t ) ¯ 𝑃 fragments ( ¯ 𝑟 , t ) ) ρ ( ¯ 𝑟 , t ) missing-subexpression assign subscript 𝜀 0 ¯ 𝐸 ¯ 𝑟 𝑡 ¯ 𝑃 ¯ 𝑟 𝑡 ¯ 𝐷 ¯ 𝑟 𝑡 missing-subexpression absent ¯ 𝐷 ¯ 𝑟 𝑡 𝜌 ¯ 𝑟 𝑡 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\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)\\ &\displaystyle\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)\\ &\displaystyle\Rightarrow\nabla\cdot\bar{D}\left(\bar{r},t\right)=\rho\left(% \bar{r},t\right)\\ \end{aligned}}}

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MathML (experimentell; keine Bilder) rendering

MathML (3.664 KB / 458 B) :

3)(ε0E¯(r¯,t)+P¯(r¯,t))=ρ(r¯,t)(ε0E¯(r¯,t)+P¯(r¯,t)):=D¯(r¯,t)D¯(r¯,t)=ρ(r¯,t)

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Identifiers

  • ε0
  • E¯
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  • t
  • P¯
  • r¯
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  • ρ
  • r¯
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  • ε0
  • E¯
  • r¯
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  • P¯
  • r¯
  • t
  • D¯
  • r¯
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  • D¯
  • r¯
  • t
  • ρ
  • r¯
  • t

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