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Display information for equation id:math.2553.41 on revision:2553
* Page found: Das ideale Fermigas (eq math.2553.41)
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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 (1.702 KB / 439 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"><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><mo stretchy="false">:=</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>Γ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>s</mi><mo stretchy="false">+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></mfrac></mrow><msubsup><mo stretchy="false">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">∞</mi></mrow></msubsup><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 stretchy="false">−</mo><mi>η</mi></mrow></mrow></msup><mo stretchy="false">+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>s</mi><mo>></mo><mn>0</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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