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Display information for equation id:math.2492.44 on revision:2492
* Page found: Gleichgewichtsbedingungen (eq math.2492.44)
(force rerendering)Occurrences on the following pages:
Hash: d693a4b98b258059d5892ae68984acdc
TeX (original user input):
\begin{align}
& d\omega =d\left( 4\pi {{r}^{2}} \right)=8\pi rdr \\
& dV\acute{\ }=4\pi {{r}^{2}}dr \\
& \Rightarrow d\omega =\frac{2}{r}dV\acute{\ } \\
\end{align}
TeX (checked):
{\begin{aligned}&d\omega =d\left(4\pi {{r}^{2}}\right)=8\pi rdr\\&dV{\acute {\ }}=4\pi {{r}^{2}}dr\\&\Rightarrow d\omega ={\frac {2}{r}}dV{\acute {\ }}\\\end{aligned}}
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MathML (1.479 KB / 414 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><mi>d</mi><mi>ω</mi><mo>=</mo><mi>d</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>4</mn><mi>π</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mn>8</mn><mi>π</mi><mi>r</mi><mi>d</mi><mi>r</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>d</mi><mi>V</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><mn>4</mn><mi>π</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>d</mi><mi>r</mi></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi>d</mi><mi>ω</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow><mi>d</mi><mi>V</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></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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