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Display information for equation id:math.1199.1120 on revision:1199

* Page found: Elektrodynamik Schöll (eq math.1199.1120)

Occurrences on the following pages:

Wellenausbreitung in Materie Eq: math.2160.70

Hash: 912c7331fd3afaa518e5dccaacbcda99

TeX (original user input):

\begin{align}
& \operatorname{Re}\hat{\chi }\left( \omega  \right)=\varepsilon \acute{\ }\left( \omega  \right)-1=\frac{1}{\pi }P\int_{-\infty }^{\infty }{{}}d\omega \acute{\ }\frac{1}{\omega \acute{\ }-\omega }\varepsilon \acute{\ }\acute{\ }\left( \omega \acute{\ } \right) \\
& \operatorname{Im}\hat{\chi }\left( \omega  \right)=\varepsilon \acute{\ }\acute{\ }\left( \omega  \right)=-\frac{1}{\pi }P\int_{-\infty }^{\infty }{{}}d\omega \acute{\ }\frac{1}{\omega \acute{\ }-\omega }\left( \varepsilon \acute{\ }\left( \omega \acute{\ } \right)-1 \right) \\
\end{align}

TeX (checked):

{\begin{aligned}&\operatorname {Re} {\hat {\chi }}\left(\omega \right)=\varepsilon {\acute {\ }}\left(\omega \right)-1={\frac {1}{\pi }}P\int _{-\infty }^{\infty }{}d\omega {\acute {\ }}{\frac {1}{\omega {\acute {\ }}-\omega }}\varepsilon {\acute {\ }}{\acute {\ }}\left(\omega {\acute {\ }}\right)\\&\operatorname {Im} {\hat {\chi }}\left(\omega \right)=\varepsilon {\acute {\ }}{\acute {\ }}\left(\omega \right)=-{\frac {1}{\pi }}P\int _{-\infty }^{\infty }{}d\omega {\acute {\ }}{\frac {1}{\omega {\acute {\ }}-\omega }}\left(\varepsilon {\acute {\ }}\left(\omega {\acute {\ }}\right)-1\right)\\\end{aligned}}

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\begin{aligned} ℜ \hat{χ} (ω) = ε \overset{´}{} (ω) - 1 = \frac{1}{π} P \int_{- \infty}^{\infty} d ω \overset{´}{} \frac{1}{ω \overset{´}{} - ω} ε \overset{´}{} \overset{´}{} (ω \overset{´}{}) \\ ℑ \hat{χ} (ω) = ε \overset{´}{} \overset{´}{} (ω) = - \frac{1}{π} P \int_{- \infty}^{\infty} d ω \overset{´}{} \frac{1}{ω \overset{´}{} - ω} (ε \overset{´}{} (ω \overset{´}{}) - 1) \end{aligned}

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Translations to Computer Algebra Systems

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In Mathematica:

Identifiers

$\hat{χ}$

$ω$

$ε$

$\overset{´}{}$

$ω$

$π$

$P$

$ω$

$\overset{´}{}$

$ω$

$\overset{´}{}$

$ω$

$ε$

$\overset{´}{}$

$\overset{´}{}$

$ω$

$\overset{´}{}$

$\hat{χ}$

$ω$

$ε$

$\overset{´}{}$

$\overset{´}{}$

$ω$

$π$

$P$

$ω$

$\overset{´}{}$

$ω$

$\overset{´}{}$

$ω$

$ε$

$\overset{´}{}$

$ω$

$\overset{´}{}$

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