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Display information for equation id:math.1438.32 on revision:1438
* Page found: Elektromagnetische Wellen (eq math.1438.32)
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Hash: 88d2c683d406cb53921762ea8738ab38
TeX (original user input):
\begin{align}
& u(\bar{r},t)={{e}^{i({{{\bar{k}}}_{0}}\bar{r}-{{\varpi }_{0}}t)}}\int_{{}}^{{}}{{{d}^{3}}\tilde{k}}\tilde{u}({{{\bar{k}}}_{0}}+\tilde{\bar{k}}){{e}^{i\tilde{\bar{k}}(\bar{r}-{{{\bar{v}}}_{g}}t)}} \\
& \tilde{\bar{k}}=\bar{k}-{{{\bar{k}}}_{0}} \\
\end{align}
TeX (checked):
{\begin{aligned}&u({\bar {r}},t)={{e}^{i({{\bar {k}}_{0}}{\bar {r}}-{{\varpi }_{0}}t)}}\int _{}^{}{{{d}^{3}}{\tilde {k}}}{\tilde {u}}({{\bar {k}}_{0}}+{\tilde {\bar {k}}}){{e}^{i{\tilde {\bar {k}}}({\bar {r}}-{{\bar {v}}_{g}}t)}}\\&{\tilde {\bar {k}}}={\bar {k}}-{{\bar {k}}_{0}}\\\end{aligned}}
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MathML (3.304 KB / 477 B) :
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