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Display information for equation id:math.2495.42 on revision:2495
* Page found: Thermodynamische Stabilität (eq math.2495.42)
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Hash: 90ec5b76b1f3a06c6f7b67f2669f2630
TeX (original user input):
\begin{align}
& {{\lambda }_{0}}=\frac{1}{kT} \\
& \frac{\partial S}{\partial {{\lambda }_{0}}}=-\frac{T}{{{\lambda }_{0}}}\left( \frac{\partial S}{\partial T} \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\lambda }_{0}}={\frac {1}{kT}}\\&{\frac {\partial S}{\partial {{\lambda }_{0}}}}=-{\frac {T}{{\lambda }_{0}}}\left({\frac {\partial S}{\partial T}}\right)\\\end{aligned}}
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MathML (1.655 KB / 376 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><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><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><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mrow></mfrac></mrow><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow><mrow data-mjx-texclass="ORD"><msub><mi>λ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow><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"><mi>∂</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>T</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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