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Display information for equation id:math.2473.22 on revision:2473
* Page found: Thermodynamische Potenziale (eq math.2473.22)
(force rerendering)Occurrences on the following pages:
Hash: 130edaac0dbc615f674b773f20203017
TeX (original user input):
\begin{align}
& {{C}_{p}}:=T{{\left( \frac{\partial S}{\partial T} \right)}_{p}}=-T\frac{{{\partial }^{2}}G}{\partial {{T}^{2}}} \\
& {{C}_{V}}:=T{{\left( \frac{\partial S}{\partial T} \right)}_{V}}=-T\frac{{{\partial }^{2}}F}{\partial {{T}^{2}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{C}_{p}}:=T{{\left({\frac {\partial S}{\partial T}}\right)}_{p}}=-T{\frac {{{\partial }^{2}}G}{\partial {{T}^{2}}}}\\&{{C}_{V}}:=T{{\left({\frac {\partial S}{\partial T}}\right)}_{V}}=-T{\frac {{{\partial }^{2}}F}{\partial {{T}^{2}}}}\\\end{aligned}}
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MathML (2.305 KB / 393 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>C</mi><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mi>:</mi><mo>=</mo><mi>T</mi><msub><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><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow></msub><mo>=</mo><mo>−</mo><mi>T</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>G</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>C</mi><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow></msub><mi>:</mi><mo>=</mo><mi>T</mi><msub><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><mrow data-mjx-texclass="ORD"><mi>V</mi></mrow></msub><mo>=</mo><mo>−</mo><mi>T</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msup><mi>∂</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mi>F</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><msup><mi>T</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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