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Display information for equation id:math.2441.2 on revision:2441
* Page found: Spezielle Verteilungen (eq math.2441.2)
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Hash: 8f758723a79c5f94577f45e8148b61d1
TeX (original user input):
\begin{align}
& \rho ={{Z}^{-1}}{{e}^{-\beta H}} \\
& Z=tr\left( {{e}^{-\beta H}} \right)={{e}^{-\Psi }} \\
& \beta =\frac{1}{kT} \\
\end{align}
TeX (checked):
{\begin{aligned}&\rho ={{Z}^{-1}}{{e}^{-\beta H}}\\&Z=tr\left({{e}^{-\beta H}}\right)={{e}^{-\Psi }}\\&\beta ={\frac {1}{kT}}\\\end{aligned}}
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MathML (1.453 KB / 395 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>ρ</mi><mo>=</mo><msup><mi>Z</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mn>1</mn></mrow></mrow></msup><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></mtd></mtr><mtr><mtd></mtd><mtd><mi>Z</mi><mo>=</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>=</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi mathvariant="normal">Ψ</mi></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><mi>β</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>k</mi><mi>T</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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