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Display information for equation id:math.1438.101 on revision:1438

* Page found: Elektromagnetische Wellen (eq math.1438.101)

Occurrences on the following pages:

Retardierte Potenziale Eq: math.2129.16

Hash: 019e89a77199f682ba61cda29ac1264c

TeX (original user input):

\begin{align}
& f\left( \bar{r},t \right)=\frac{1}{{{\left( 2\pi  \right)}^{2}}}\int_{{{R}^{3}}}^{{}}{{{d}^{3}}q\int_{-\infty }^{\infty }{d\omega }}\hat{f}\left( \bar{q},\omega  \right){{e}^{i\left( \bar{q}\bar{r}-\omega t \right)}} \\
& \hat{f}\left( \bar{q},\omega  \right)=\frac{1}{{{\left( 2\pi  \right)}^{2}}}\int_{{{R}^{3}}}^{{}}{{{d}^{3}}r\int_{-\infty }^{\infty }{dt}}f\left( \bar{r},t \right){{e}^{-i\left( \bar{q}\bar{r}-\omega t \right)}} \\
\end{align}

TeX (checked):

{\begin{aligned}&f\left({\bar {r}},t\right)={\frac {1}{{\left(2\pi \right)}^{2}}}\int _{{R}^{3}}^{}{{{d}^{3}}q\int _{-\infty }^{\infty }{d\omega }}{\hat {f}}\left({\bar {q}},\omega \right){{e}^{i\left({\bar {q}}{\bar {r}}-\omega t\right)}}\\&{\hat {f}}\left({\bar {q}},\omega \right)={\frac {1}{{\left(2\pi \right)}^{2}}}\int _{{R}^{3}}^{}{{{d}^{3}}r\int _{-\infty }^{\infty }{dt}}f\left({\bar {r}},t\right){{e}^{-i\left({\bar {q}}{\bar {r}}-\omega t\right)}}\\\end{aligned}}

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MathML (4.74 KB / 556 B) :

\begin{aligned} f (\bar{r}, t) = \frac{1}{{(2 π)}^{2}} \int_{R^{3}}^{} d^{3} q \int_{- \infty}^{\infty} d ω \hat{f} (\bar{q}, ω) e^{i (\bar{q} \bar{r} - ω t)} \\ \hat{f} (\bar{q}, ω) = \frac{1}{{(2 π)}^{2}} \int_{R^{3}}^{} d^{3} r \int_{- \infty}^{\infty} d t f (\bar{r}, t) e^{- i (\bar{q} \bar{r} - ω t)} \end{aligned}

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Identifiers

$f$

$\bar{r}$

$t$

$π$

$R$

$q$

$ω$

$\hat{f}$

$\bar{q}$

$ω$

$e$

$i$

$\bar{q}$

$\bar{r}$

$ω$

$t$

$\hat{f}$

$\bar{q}$

$ω$

$π$

$R$

$r$

$t$

$f$

$\bar{r}$

$t$

$e$

$i$

$\bar{q}$

$\bar{r}$

$ω$

$t$

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