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Display information for equation id:math.2507.56 on revision:2507
* Page found: Das ideale Gas (eq math.2507.56)
(force rerendering)Occurrences on the following pages:
Hash: e871d01afee7466111bce39e84c80881
TeX (original user input):
S=k\left( \beta U-\Psi \left( \beta ,V \right) \right)=k\left( \beta U+N\ln \frac{V}{N}+N\ln \Phi \left( \beta \right)+N \right)
TeX (checked):
S=k\left(\beta U-\Psi \left(\beta ,V\right)\right)=k\left(\beta U+N\ln {\frac {V}{N}}+N\ln \Phi \left(\beta \right)+N\right)
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (1.098 KB / 309 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>=</mo><mi>k</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>β</mi><mi>U</mi><mo>−</mo><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>β</mi><mo>,</mo><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>k</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>β</mi><mi>U</mi><mo>+</mo><mi>N</mi><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"><mi>N</mi></mrow></mfrac></mrow><mo>+</mo><mi>N</mi><mi>ln</mi><mo>⁡</mo><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><mi>N</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mstyle></mrow></math>
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