Jump to navigation Jump to search

General

Display information for equation id:math.2441.67 on revision:2441

* Page found: Spezielle Verteilungen (eq math.2441.67)

(force rerendering)

Occurrences on the following pages:

Hash: f115f16d9e4ff748470c346436f41875

TeX (original user input):

\begin{align}

& \omega =\int_{{}}^{{}}{d\xi }\delta \left( U-H\left( \xi  \right) \right)=\frac{d\Omega }{dU} \\

& wegen \\

& \frac{d}{dx}\Theta \left( x \right)=\delta \left( x \right) \\

& \Rightarrow \Omega \left( U \right)=\int_{{}}^{{}}{d\xi }\Theta \left( U-H\left( \xi  \right) \right) \\

& \Theta \left( U-H\left( \xi  \right) \right)=\left\{ \begin{matrix}

1f\ddot{u}rH\left( \xi  \right)<U  \\

0,sonst  \\

\end{matrix} \right. \\

\end{align}

TeX (checked):

{\begin{aligned}&\omega =\int _{}^{}{d\xi }\delta \left(U-H\left(\xi \right)\right)={\frac {d\Omega }{dU}}\\&wegen\\&{\frac {d}{dx}}\Theta \left(x\right)=\delta \left(x\right)\\&\Rightarrow \Omega \left(U\right)=\int _{}^{}{d\xi }\Theta \left(U-H\left(\xi \right)\right)\\&\Theta \left(U-H\left(\xi \right)\right)=\left\{{\begin{matrix}1f{\ddot {u}}rH\left(\xi \right)<U\\0,sonst\\\end{matrix}}\right.\\\end{aligned}}

LaTeXML (experimental; uses MathML) rendering

MathML (0 B / 8 B) :

SVG image empty. Force Re-Rendering

SVG (0 B / 8 B) :


MathML (experimental; no images) rendering

MathML (3.616 KB / 551 B) :

ω=dξδ(UH(ξ))=dΩdUwegenddxΘ(x)=δ(x)Ω(U)=dξΘ(UH(ξ))Θ(UH(ξ))={1fu¨rH(ξ)<U0,sonst
<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"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>ω</mi><mo stretchy="false">=</mo><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>ξ</mi></mrow><mi>δ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>U</mi><mo stretchy="false"></mo><mi>H</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ξ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>Ω</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>U</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>w</mi><mi>e</mi><mi>g</mi><mi>e</mi><mi>n</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>d</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>x</mi></mrow></mrow></mfrac></mrow><mi>Θ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mi>δ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>x</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false"></mo><mi>Ω</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>U</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></msubsup><mrow data-mjx-texclass="ORD"><mi>d</mi><mi>ξ</mi></mrow><mi>Θ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>U</mi><mo stretchy="false"></mo><mi>H</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ξ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>Θ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>U</mi><mo stretchy="false"></mo><mi>H</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ξ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><mrow data-mjx-texclass="ORD"><mo data-mjx-texclass="OPEN"></mo><mtable><mtr><mtd><mn>1</mn><mi>f</mi><mover><mi>u</mi><mo>¨</mo></mover><mi>r</mi><mi>H</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>ξ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>&lt;</mo><mi>U</mi></mtd></mtr><mtr><mtd><mn>0</mn><mo>,</mo><mi>s</mi><mi>o</mi><mi>n</mi><mi>s</mi><mi>t</mi></mtd></mtr></mtable><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow><mo fence="true" stretchy="true" symmetric="true" data-mjx-texclass="CLOSE"></mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Spezielle Verteilungen page

Identifiers

  • ω
  • ξ
  • δ
  • U
  • H
  • ξ
  • d
  • Ω
  • d
  • U
  • w
  • e
  • g
  • e
  • n
  • d
  • d
  • x
  • Θ
  • x
  • δ
  • x
  • Ω
  • U
  • ξ
  • Θ
  • U
  • H
  • ξ
  • Θ
  • U
  • H
  • ξ
  • f
  • u¨
  • r
  • H
  • ξ
  • U
  • s
  • o
  • n
  • s
  • t

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results