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Display information for equation id:math.1199.1109 on revision:1199
* Page found: Elektrodynamik Schöll (eq math.1199.1109)
(force rerendering)Occurrences on the following pages:
Hash: da151c1c51d73ea54955fac938a4da85
TeX (original user input):
\begin{align}
& \hat{\Theta }\left( \omega \right):=\begin{matrix}
\lim \\
\sigma ->0+ \\
\end{matrix}\frac{1}{\sqrt{2\pi }}\int_{0}^{\infty }{dt{{e}^{i\omega t-\sigma t}}}=\begin{matrix}
\lim \\
\sigma ->0+ \\
\end{matrix}\frac{1}{\sqrt{2\pi }}\frac{1}{i\omega -\sigma } \\
& \\
\end{align}
TeX (checked):
{\begin{aligned}&{\hat {\Theta }}\left(\omega \right):={\begin{matrix}\lim \\\sigma ->0+\\\end{matrix}}{\frac {1}{\sqrt {2\pi }}}\int _{0}^{\infty }{dt{{e}^{i\omega t-\sigma t}}}={\begin{matrix}\lim \\\sigma ->0+\\\end{matrix}}{\frac {1}{\sqrt {2\pi }}}{\frac {1}{i\omega -\sigma }}\\&\\\end{aligned}}
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MathML (2.402 KB / 512 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"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi mathvariant="normal">Θ</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><mi>:</mi><mo>=</mo><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><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"><msqrt><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></msqrt></mrow></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>t</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>ω</mi><mi>t</mi><mo>−</mo><mi>σ</mi><mi>t</mi></mrow></mrow></msup></mrow><mo>=</mo><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><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"><msqrt><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></msqrt></mrow></mrow></mfrac></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>i</mi><mi>ω</mi><mo>−</mo><mi>σ</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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