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Display information for equation id:math.2139.31 on revision:2139

* Page found: Polarisation (eq math.2139.31)

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Hash: a9092023eb368a3b57c7fff6498eec44

TeX (original user input): 

{{\nabla }_{r}}\left\{ \frac{1}{\left| \bar{r}-\bar{r}\acute{\ } \right|}\bar{P}\left( \bar{r}\acute{\ },t-\frac{\left| \bar{r}-\bar{r}\acute{\ } \right|}{c} \right) \right\}=-{{\nabla }_{r\acute{\ }}}\left\{ \frac{1}{\left| \bar{r}-\bar{r}\acute{\ } \right|}\bar{P}\left( \bar{r}\acute{\ },t-\frac{\left| \bar{r}-\bar{r}\acute{\ } \right|}{c} \right) \right\}+Korrektur

TeX (checked): 

{{\nabla }_{r}}\left\{{\frac {1}{\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}}{\bar {P}}\left({\bar {r}}{\acute {\ }},t-{\frac {\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}{c}}\right)\right\}=-{{\nabla }_{r{\acute {\ }}}}\left\{{\frac {1}{\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}}{\bar {P}}\left({\bar {r}}{\acute {\ }},t-{\frac {\left|{\bar {r}}-{\bar {r}}{\acute {\ }}\right|}{c}}\right)\right\}+Korrektur

LaTeXML (experimentell; verwendet MathML) rendering

MathML (28.225 KB / 3.299 KB) :

∇ r ⁡ { 1 | r ¯ - r ¯ ⁢ ´ | ⁢ P ¯ ⁢ ( r ¯ ⁢ ´ , t - | r ¯ - r ¯ ⁢ ´ | c ) } = - ∇ r ⁢ ´ ⁡ { 1 | r ¯ - r ¯ ⁢ ´ | ⁢ P ¯ ⁢ ( r ¯ ⁢ ´ , t - | r ¯ - r ¯ ⁢ ´ | c ) } + K ⁢ o ⁢ r ⁢ r ⁢ e ⁢ k ⁢ t ⁢ u ⁢ r subscript ∇ 𝑟 1 ¯ 𝑟 ¯ 𝑟 ´ absent ¯ 𝑃 ¯ 𝑟 ´ absent 𝑡 ¯ 𝑟 ¯ 𝑟 ´ absent 𝑐 subscript ∇ 𝑟 ´ absent 1 ¯ 𝑟 ¯ 𝑟 ´ absent ¯ 𝑃 ¯ 𝑟 ´ absent 𝑡 ¯ 𝑟 ¯ 𝑟 ´ absent 𝑐 𝐾 𝑜 𝑟 𝑟 𝑒 𝑘 𝑡 𝑢 𝑟 {\displaystyle{\displaystyle{{\nabla}_{r}}\left\{\frac{1}{\left|\bar{r}-\bar{r% }\acute{\ }\right|}\bar{P}\left(\bar{r}\acute{\ },t-\frac{\left|\bar{r}-\bar{r% }\acute{\ }\right|}{c}\right)\right\}=-{{\nabla}_{r\acute{\ }}}\left\{\frac{1}% {\left|\bar{r}-\bar{r}\acute{\ }\right|}\bar{P}\left(\bar{r}\acute{\ },t-\frac% {\left|\bar{r}-\bar{r}\acute{\ }\right|}{c}\right)\right\}+Korrektur}}

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MathML (experimentell; keine Bilder) rendering

MathML (4.376 KB / 443 B) :

∇r{1|r¯−r¯´|P¯(r¯´,t−|r¯−r¯´|c)}=−∇r´{1|r¯−r¯´|P¯(r¯´,t−|r¯−r¯´|c)}+Korrektur

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Calculated based on the variables occurring on the entire Polarisation page

Identifiers

  • r
  • r¯
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  • P¯
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  • c
  • K
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