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Display information for equation id:math.2487.44 on revision:2487
* Page found: Gleichgewichtsbedingungen (eq math.2487.44)
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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 (1.426 KB / 397 B) :
<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>d</mi><mi>ω</mi><mo stretchy="false">=</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 stretchy="false">=</mo><mn>8</mn><mi>π</mi><mi>r</mi><mi>d</mi><mi>r</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>d</mi><mi>V</mi><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover><mo stretchy="false">=</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 class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><mi>d</mi><mi>ω</mi><mo stretchy="false">=</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><mover><mtext> </mtext><mo data-mjx-pseudoscript="true">´</mo></mover></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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