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Display information for equation id:math.2467.5 on revision:2467

* Page found: Thermodynamische Potenziale (eq math.2467.5)

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Hash: 183dbb1f1a3b765f81a2759b1a90c25c

TeX (original user input):

\begin{align}
*   & \Rightarrow \frac{\partial S}{\partial U}=\frac{1}{T} \\
*  & \frac{\partial S}{\partial V}=\frac{p}{T} \\
*  & \frac{\partial S}{\partial N}=-\frac{\mu }{T} \\
* \end{align}

TeX (checked):

{\begin{aligned}*&\Rightarrow {\frac {\partial S}{\partial U}}={\frac {1}{T}}\\*&{\frac {\partial S}{\partial V}}={\frac {p}{T}}\\*&{\frac {\partial S}{\partial N}}=-{\frac {\mu }{T}}\\*\end{aligned}}

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MathML (experimental; no images) rendering

MathML (1.791 KB / 333 B) :

*SU=1T*SV=pT*SN=μT*
<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><mo>*</mo></mtd><mtd><mo>&#x21D2;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>U</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd><mo>*</mo></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>V</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>p</mi></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd><mo>*</mo></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>S</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>N</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>&#x03BC;</mi></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd><mo>*</mo></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Thermodynamische Potenziale page

Identifiers

  • S
  • U
  • T
  • S
  • V
  • p
  • T
  • S
  • N
  • μ
  • T

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