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Display information for equation id:math.2547.41 on revision:2547
* Page found: Das ideale Fermigas (eq math.2547.41)
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Hash: 6ad0e25cdbd279e7669fe582aa450201
TeX (original user input):
\begin{align}
& {{F}_{s}}\left( \eta \right):=\frac{1}{\Gamma \left( s+1 \right)}\int_{0}^{\infty }{{}}dy\frac{{{y}^{s}}}{\left( {{e}^{y-\eta }}+1 \right)} \\
& s>0 \\
\end{align}
TeX (checked):
{\begin{aligned}&{{F}_{s}}\left(\eta \right):={\frac {1}{\Gamma \left(s+1\right)}}\int _{0}^{\infty }{}dy{\frac {{y}^{s}}{\left({{e}^{y-\eta }}+1\right)}}\\&s>0\\\end{aligned}}
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MathML (1.767 KB / 462 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><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>η</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>:</mi><mo>=</mo><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 mathvariant="normal">Γ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>s</mi><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></mfrac></mrow><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></munderover></mstyle><mi>d</mi><mi>y</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>y</mi><mrow data-mjx-texclass="ORD"><mi>s</mi></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>y</mi><mo>−</mo><mi>η</mi></mrow></mrow></msup><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>s</mi><mo>></mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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