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Display information for equation id:math.2160.61 on revision:2160
* Page found: Wellenausbreitung in Materie (eq math.2160.61)
(force rerendering)Occurrences on the following pages:
Hash: eeea5ad5976e9099e352e949f5133820
TeX (original user input):
\hat{\chi }\left( \omega \right)=\frac{1}{2\pi i}\begin{matrix}
\lim \\
\sigma ->0+ \\
\end{matrix}\int_{-\infty }^{\infty }{{}}d\omega \acute{\ }\frac{1}{\omega \acute{\ }-\omega -i\sigma }\hat{\chi }\left( \omega \acute{\ } \right)
TeX (checked):
{\hat {\chi }}\left(\omega \right)={\frac {1}{2\pi i}}{\begin{matrix}\lim \\\sigma ->0+\\\end{matrix}}\int _{-\infty }^{\infty }{}d\omega {\acute {\ }}{\frac {1}{\omega {\acute {\ }}-\omega -i\sigma }}{\hat {\chi }}\left(\omega {\acute {\ }}\right)
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MathML (2.126 KB / 480 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>χ</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ω</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi><mi>i</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>lim</mi></mtd></mtr><mtr><mtd><mi>σ</mi><mo>−</mo><mo>></mo><mn>0</mn><mo>+</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">∞</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mi>d</mi><mi>ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo>−</mo><mi>ω</mi><mo>−</mo><mi>i</mi><mi>σ</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>χ</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ω</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo data-mjx-pseudoscript="true">´</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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