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Display information for equation id:math.2158.64 on revision:2158

* Page found: Wellenausbreitung in Materie (eq math.2158.64)

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TeX (original user input):

\begin{matrix}
\lim   \\
\varepsilon ->{{0}^{+}}  \\
\end{matrix}\left[ \int_{-\infty }^{\omega -\varepsilon }{+\int_{\omega +\varepsilon }^{\infty }{{}}} \right]d\omega \acute{\ }\frac{1}{\omega \acute{\ }-\omega }\hat{\chi }\left( \omega \acute{\ } \right)=P\int_{-\infty }^{\infty }{{}}d\omega \acute{\ }\frac{1}{\omega \acute{\ }-\omega }\hat{\chi }\left( \omega \acute{\ } \right)

TeX (checked):

{\begin{matrix}\lim \\\varepsilon ->{{0}^{+}}\\\end{matrix}}\left[\int _{-\infty }^{\omega -\varepsilon }{+\int _{\omega +\varepsilon }^{\infty }{}}\right]d\omega {\acute {\ }}{\frac {1}{\omega {\acute {\ }}-\omega }}{\hat {\chi }}\left(\omega {\acute {\ }}\right)=P\int _{-\infty }^{\infty }{}d\omega {\acute {\ }}{\frac {1}{\omega {\acute {\ }}-\omega }}{\hat {\chi }}\left(\omega {\acute {\ }}\right)

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MathML (2.825 KB / 529 B) :

limε>0+[ωε+ω+ε]dω ´1ω ´ωχ̂(ω ´)=Pdω ´1ω ´ωχ̂(ω ´)
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mo>lim</mo></mtd></mtr><mtr><mtd><mi>ε</mi><mo stretchy="false"></mo><mo>&gt;</mo><msup><mn>0</mn><mrow data-mjx-texclass="ORD"><mo stretchy="false" lspace="0" rspace="0">+</mo></mrow></msup></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false"></mo><mi mathvariant="normal"></mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ω</mi><mo stretchy="false"></mo><mi>ε</mi></mrow></mrow></msubsup><mrow data-mjx-texclass="ORD"><mo stretchy="false">+</mo><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>ω</mi><mo stretchy="false">+</mo><mi>ε</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal"></mi></mrow></msubsup></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow><mi>d</mi><mi>ω</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><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><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false"></mo><mi>ω</mi></mrow></mrow></mfrac></mrow><mover><mi>χ</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ω</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>P</mi><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false"></mo><mi mathvariant="normal"></mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal"></mi></mrow></msubsup><mi>d</mi><mi>ω</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><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><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false"></mo><mi>ω</mi></mrow></mrow></mfrac></mrow><mover><mi>χ</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ω</mi><mover><mtext>&#160;</mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Wellenausbreitung in Materie page

Identifiers

  • ε
  • ω
  • ε
  • ω
  • ε
  • d
  • ω
  •  ´
  • ω
  •  ´
  • ω
  • χ̂
  • ω
  •  ´
  • P
  • ω
  •  ´
  • ω
  •  ´
  • ω
  • χ̂
  • ω
  •  ´

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