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Display information for equation id:math.2507.51 on revision:2507
* Page found: Das ideale Gas (eq math.2507.51)
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Hash: 6f42ab0f70f467218823dc3536036cbe
TeX (original user input):
S(T,V,\bar{N})=k\bar{N}\left( \frac{5}{2}+\ln {{\left( \frac{2\pi mkT}{{{\hbar }^{2}}} \right)}^{\frac{3}{2}}}+\ln \frac{V}{{\bar{N}}} \right)
TeX (checked):
S(T,V,{\bar {N}})=k{\bar {N}}\left({\frac {5}{2}}+\ln {{\left({\frac {2\pi mkT}{{\hbar }^{2}}}\right)}^{\frac {3}{2}}}+\ln {\frac {V}{\bar {N}}}\right)
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MathML (1.679 KB / 385 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>S</mi><mo stretchy="false">(</mo><mi>T</mi><mo>,</mo><mi>V</mi><mo>,</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mo>=</mo><mi>k</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>5</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo>+</mo><mi>ln</mi><mo>⁡</mo><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><mi>ln</mi><mo>⁡</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>N</mi><mo>¯</mo></mover></mrow></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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