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Display information for equation id:math.2441.20 on revision:2441
* Page found: Spezielle Verteilungen (eq math.2441.20)
(force rerendering)Occurrences on the following pages:
Hash: cd7e13ff229722c030ca51c5f4ef5133
TeX (original user input):
\begin{align}
& G\left( T,p \right)=U-TS+pV=kT\Psi \left( T,p \right) \\
& =-kT\ln \left[ tr\left( {{e}^{-\beta \left( H+pV \right)}} \right) \right] \\
\end{align}
TeX (checked):
{\begin{aligned}&G\left(T,p\right)=U-TS+pV=kT\Psi \left(T,p\right)\\&=-kT\ln \left[tr\left({{e}^{-\beta \left(H+pV\right)}}\right)\right]\\\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
MathML (0 B / 8 B) :
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MathML (experimentell; keine Bilder) rendering
MathML (1.495 KB / 406 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"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mi>G</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>T</mi><mo>,</mo><mi>p</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>U</mi><mo>−</mo><mi>T</mi><mi>S</mi><mo>+</mo><mi>p</mi><mi>V</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>T</mi><mo>,</mo><mi>p</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>H</mi><mo>+</mo><mi>p</mi><mi>V</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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