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Display information for equation id:math.2441.78 on revision:2441
* Page found: Spezielle Verteilungen (eq math.2441.78)
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Hash: 23a2d47012366e99c7840535121a6a69
TeX (original user input):
\begin{align}
& \Delta \Omega \approx \frac{\partial \Omega }{\partial r}\Delta r\approx \frac{\partial \Omega }{\partial U}\Delta U \\
& \frac{\partial \Omega }{\partial U}\tilde{\ }6N\cdot {{U}^{6N-1}} \\
& \Rightarrow \Delta \Omega \approx \frac{\partial \Omega }{\partial r}\Delta r\approx \frac{\partial \Omega }{\partial U}\Delta U\approx 6N\frac{\Omega }{U}\Delta U \\
\end{align}
TeX (checked):
{\begin{aligned}&\Delta \Omega \approx {\frac {\partial \Omega }{\partial r}}\Delta r\approx {\frac {\partial \Omega }{\partial U}}\Delta U\\&{\frac {\partial \Omega }{\partial U}}{\tilde {\ }}6N\cdot {{U}^{6N-1}}\\&\Rightarrow \Delta \Omega \approx {\frac {\partial \Omega }{\partial r}}\Delta r\approx {\frac {\partial \Omega }{\partial U}}\Delta U\approx 6N{\frac {\Omega }{U}}\Delta U\\\end{aligned}}
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MathML (2.477 KB / 386 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>Δ</mi><mi>Ω</mi><mo stretchy="false">≈</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>Ω</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>r</mi></mrow></mrow></mfrac></mrow><mi>Δ</mi><mi>r</mi><mo stretchy="false">≈</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>Ω</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>U</mi></mrow></mrow></mfrac></mrow><mi>Δ</mi><mi>U</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"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>Ω</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>U</mi></mrow></mrow></mfrac></mrow><mover><mtext> </mtext><mo>~</mo></mover><mn>6</mn><mi>N</mi><mo stretchy="false">⋅</mo><msup><mi>U</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>6</mn><mi>N</mi><mo stretchy="false">−</mo><mn>1</mn></mrow></mrow></msup></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><mi>Δ</mi><mi>Ω</mi><mo stretchy="false">≈</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>Ω</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>r</mi></mrow></mrow></mfrac></mrow><mi>Δ</mi><mi>r</mi><mo stretchy="false">≈</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>Ω</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>U</mi></mrow></mrow></mfrac></mrow><mi>Δ</mi><mi>U</mi><mo stretchy="false">≈</mo><mn>6</mn><mi>N</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>Ω</mi></mrow><mrow data-mjx-texclass="ORD"><mi>U</mi></mrow></mfrac></mrow><mi>Δ</mi><mi>U</mi></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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