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Display information for equation id:math.2508.25 on revision:2508
* Page found: Reale Gase (eq math.2508.25)
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Hash: fb28d71d149bab91be9bb28fc231cf67
TeX (original user input):
\xi :=\rho \Phi \left( \beta \right)={{e}^{-\alpha }}{{\left( \frac{2\pi mkT}{{{\hbar }^{2}}} \right)}^{\frac{3}{2}}}={{e}^{\frac{\mu }{kT}}}{{\left( \frac{2\pi mkT}{{{\hbar }^{2}}} \right)}^{\frac{3}{2}}}
TeX (checked):
\xi :=\rho \Phi \left(\beta \right)={{e}^{-\alpha }}{{\left({\frac {2\pi mkT}{{\hbar }^{2}}}\right)}^{\frac {3}{2}}}={{e}^{\frac {\mu }{kT}}}{{\left({\frac {2\pi mkT}{{\hbar }^{2}}}\right)}^{\frac {3}{2}}}
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MathML (2.005 KB / 381 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ξ</mi><mi>:</mi><mo>=</mo><mi>ρ</mi><mi mathvariant="normal">Φ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>β</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi>α</mi></mrow></mrow></msup><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi><mi>m</mi><mi>k</mi><mi>T</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><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><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><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi><mi>m</mi><mi>k</mi><mi>T</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><msup><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><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></mstyle></mrow></math>
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