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Display information for equation id:math.2441.13 on revision:2441
* Page found: Spezielle Verteilungen (eq math.2441.13)
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Hash: 00e7fea50aba5b9afd8281c91e8112f6
TeX (original user input):
F(T)=U-TS=kT\Psi \left( \beta \right)=-kT\ln \left( tr\left( {{e}^{-\beta H}} \right) \right)=-kT\ln Z
TeX (checked):
F(T)=U-TS=kT\Psi \left(\beta \right)=-kT\ln \left(tr\left({{e}^{-\beta H}}\right)\right)=-kT\ln Z
LaTeXML (experimentell; verwendet MathML) rendering
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MathML (1.014 KB / 332 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>F</mi><mo stretchy="false">(</mo><mi>T</mi><mo stretchy="false">)</mo><mo>=</mo><mi>U</mi><mo>−</mo><mi>T</mi><mi>S</mi><mo>=</mo><mi>k</mi><mi>T</mi><mi mathvariant="normal">Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>β</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mo>−</mo><mi>k</mi><mi>T</mi><mi>ln</mi><mo>⁡</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi>β</mi><mi>H</mi></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mo>−</mo><mi>k</mi><mi>T</mi><mi>ln</mi><mo>⁡</mo><mi>Z</mi></mstyle></mrow></math>
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