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Display information for equation id:math.1439.101 on revision:1439
* Page found: Elektromagnetische Wellen (eq math.1439.101)
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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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