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Display information for equation id:math.2547.91 on revision:2547
* Page found: Das ideale Fermigas (eq math.2547.91)
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Hash: aebb13e0c5b92330ebb17490e52c21da
TeX (original user input):
\bar{N}=V{{N}_{C}}{{F}_{\frac{1}{2}}}\left( \frac{\mu }{kT} \right)\approx V{{N}_{C}}{{e}^{\frac{\mu }{kT}}}\left[ 1-{{e}^{\frac{\mu }{kT}}}\frac{1}{{{2}^{\frac{3}{2}}}} \right]
TeX (checked):
{\bar {N}}=V{{N}_{C}}{{F}_{\frac {1}{2}}}\left({\frac {\mu }{kT}}\right)\approx V{{N}_{C}}{{e}^{\frac {\mu }{kT}}}\left[1-{{e}^{\frac {\mu }{kT}}}{\frac {1}{{2}^{\frac {3}{2}}}}\right]
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MathML (1.937 KB / 367 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"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow><mo>=</mo><mi>V</mi><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>C</mi></mrow></msub><msub><mi>F</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>≈</mo><mi>V</mi><msub><mi>N</mi><mrow data-mjx-texclass="ORD"><mi>C</mi></mrow></msub><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>T</mi></mrow></mrow></mfrac></mrow></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mn>1</mn><mo>−</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>μ</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>T</mi></mrow></mrow></mfrac></mrow></mrow></msup><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><mn>2</mn><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow></mstyle></mrow></math>
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