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Display information for equation id:math.1438.201 on revision:1438

* Page found: Elektromagnetische Wellen (eq math.1438.201)

Occurrences on the following pages:

Multipolstrahlung Eq: math.2133.64

Hash: 99725cac0c9f624c831fae8e70a21d62

TeX (original user input):

\begin{align}
& {{{\bar{A}}}^{(2)}}\left( \bar{r},t \right)=\frac{{{\mu }_{0}}}{4\pi {{r}^{3}}}\left( 1+\frac{r}{c}\frac{\partial }{\partial \tau } \right)\left[ \bar{m}\left( \tau  \right)\times \bar{r}+\frac{1}{6}\dot{\bar{\bar{Q}}}\left( \tau  \right)\cdot \bar{r} \right] \\
& =\frac{{{\mu }_{0}}}{4\pi }\left( \frac{1}{{{r}^{3}}}\bar{m}\times \bar{r}+\frac{1}{c{{r}^{2}}}\dot{\bar{m}}\times \bar{r}+\frac{1}{6{{r}^{3}}}\dot{\bar{\bar{Q}}}\left( \tau  \right)\cdot \bar{r}+\frac{1}{6c{{r}^{2}}}\ddot{\bar{\bar{Q}}}\left( \tau  \right)\cdot \bar{r} \right) \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\bar {A}}^{(2)}}\left({\bar {r}},t\right)={\frac {{\mu }_{0}}{4\pi {{r}^{3}}}}\left(1+{\frac {r}{c}}{\frac {\partial }{\partial \tau }}\right)\left[{\bar {m}}\left(\tau \right)\times {\bar {r}}+{\frac {1}{6}}{\dot {\bar {\bar {Q}}}}\left(\tau \right)\cdot {\bar {r}}\right]\\&={\frac {{\mu }_{0}}{4\pi }}\left({\frac {1}{{r}^{3}}}{\bar {m}}\times {\bar {r}}+{\frac {1}{c{{r}^{2}}}}{\dot {\bar {m}}}\times {\bar {r}}+{\frac {1}{6{{r}^{3}}}}{\dot {\bar {\bar {Q}}}}\left(\tau \right)\cdot {\bar {r}}+{\frac {1}{6c{{r}^{2}}}}{\ddot {\bar {\bar {Q}}}}\left(\tau \right)\cdot {\bar {r}}\right)\\\end{aligned}}

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MathML (5.973 KB / 612 B) :

\begin{aligned} {\bar{A}}^{(2)} (\bar{r}, t) = \frac{μ_{0}}{4 π r^{3}} (1 + \frac{r}{c} \frac{\partial}{\partial τ}) [\bar{m} (τ) \times \bar{r} + \frac{1}{6} \dot{\bar{\bar{Q}}} (τ) \cdot \bar{r}] \\ = \frac{μ_{0}}{4 π} (\frac{1}{r^{3}} \bar{m} \times \bar{r} + \frac{1}{c r^{2}} \dot{\bar{m}} \times \bar{r} + \frac{1}{6 r^{3}} \dot{\bar{\bar{Q}}} (τ) \cdot \bar{r} + \frac{1}{6 c r^{2}} \ddot{\bar{\bar{Q}}} (τ) \cdot \bar{r}) \end{aligned}

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Identifiers

$\bar{A}$

$\bar{r}$

$t$

$μ_{0}$

$π$

$r$

$r$

$c$

$τ$

$\bar{m}$

$τ$

$\bar{r}$

$\dot{\bar{\bar{Q}}}$

$τ$

$\bar{r}$

$μ_{0}$

$π$

$r$

$\bar{m}$

$\bar{r}$

$c$

$r$

$\dot{\bar{m}}$

$\bar{r}$

$r$

$\dot{\bar{\bar{Q}}}$

$τ$

$\bar{r}$

$c$

$r$

$\ddot{\bar{\bar{Q}}}$

$τ$

$\bar{r}$

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