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Display information for equation id:math.2555.35 on revision:2555
* Page found: Das ideale Fermigas (eq math.2555.35)
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Hash: 2d4b48ef2d52313961b888e61a6695f1
TeX (original user input):
\left\langle N\left( p \right) \right\rangle =\frac{1}{\left( \frac{1}{\xi }{{e}^{\beta \frac{{{p}^{2}}}{2m}}}+1 \right)}\approx \xi {{e}^{-\beta \frac{{{p}^{2}}}{2m}}}
TeX (checked):
\left\langle N\left(p\right)\right\rangle ={\frac {1}{\left({\frac {1}{\xi }}{{e}^{\beta {\frac {{p}^{2}}{2m}}}}+1\right)}}\approx \xi {{e}^{-\beta {\frac {{p}^{2}}{2m}}}}
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MathML (1.601 KB / 338 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="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>N</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>p</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><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="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>ξ</mi></mrow></mfrac></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>β</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow></mrow></mrow></msup><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mfrac></mrow><mo>≈</mo><mi>ξ</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi>β</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow></mrow></mrow></msup></mstyle></mrow></math>
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