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Display information for equation id:math.2467.7 on revision:2467

* Page found: Thermodynamische Potenziale (eq math.2467.7)

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Occurrences on the following pages:

Hash: e3384992ef4d2f0f6eaafd10fa033e0e

TeX (original user input):

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

TeX (checked):

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

LaTeXML (experimental; uses MathML) rendering

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MathML (experimental; no images) rendering

MathML (1.393 KB / 317 B) :

*US=T*UV=p*UN=μ*
<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>U</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>&#x2202;</mi><mi>S</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mi>T</mi></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>U</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><mo>&#x2212;</mo><mi>p</mi></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>U</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><mi>&#x03BC;</mi></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

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

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