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Display information for equation id:math.2281.29 on revision:2281

* Page found: Beispiel des Großkanonischen Ensenbles (eq math.2281.29)

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Beispiel des Großkanonischen Ensenbles Eq: math.2284.29

Hash: f0ef2454fa0ccb49cf2bdce7fa1b0df2

TeX (original user input):

\begin{align}
  & d{{S}_{{}^{1}\!\!\diagup\!\!{}_{2}\;}}=\frac{\partial {{S}_{{}^{1}\!\!\diagup\!\!{}_{2}\;}}}{\partial {{V}_{{}^{1}\!\!\diagup\!\!{}_{2}\;}}}d{{V}_{{}^{1}\!\!\diagup\!\!{}_{2}\;}}+\frac{\partial {{S}_{{}^{1}\!\!\diagup\!\!{}_{2}\;}}}{\partial {{{\bar{N}}}_{{}^{1}\!\!\diagup\!\!{}_{2}\;}}}d{{{\bar{N}}}_{{}^{1}\!\!\diagup\!\!{}_{2}\;}}+\frac{\partial {{S}_{{}^{1}\!\!\diagup\!\!{}_{2}\;}}}{\partial {{E}_{{}^{1}\!\!\diagup\!\!{}_{2}\;}}}d{{E}_{{}^{1}\!\!\diagup\!\!{}_{2}\;}} \\
 & d{{S}_{1}}=-d{{S}_{2}} 
\end{align}

TeX (checked):

{\begin{aligned}&d{{S}_{{}^{1}\!\!\diagup \!\!{}_{2}\;}}={\frac {\partial {{S}_{{}^{1}\!\!\diagup \!\!{}_{2}\;}}}{\partial {{V}_{{}^{1}\!\!\diagup \!\!{}_{2}\;}}}}d{{V}_{{}^{1}\!\!\diagup \!\!{}_{2}\;}}+{\frac {\partial {{S}_{{}^{1}\!\!\diagup \!\!{}_{2}\;}}}{\partial {{\bar {N}}_{{}^{1}\!\!\diagup \!\!{}_{2}\;}}}}d{{\bar {N}}_{{}^{1}\!\!\diagup \!\!{}_{2}\;}}+{\frac {\partial {{S}_{{}^{1}\!\!\diagup \!\!{}_{2}\;}}}{\partial {{E}_{{}^{1}\!\!\diagup \!\!{}_{2}\;}}}}d{{E}_{{}^{1}\!\!\diagup \!\!{}_{2}\;}}\\&d{{S}_{1}}=-d{{S}_{2}}\end{aligned}}

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\begin{aligned} d S_{^{1} ╱_{2}} = \frac{\partial S_{^{1} ╱_{2}}}{\partial V_{^{1} ╱_{2}}} d V_{^{1} ╱_{2}} + \frac{\partial S_{^{1} ╱_{2}}}{\partial {\bar{N}}_{^{1} ╱_{2}}} d {\bar{N}}_{^{1} ╱_{2}} + \frac{\partial S_{^{1} ╱_{2}}}{\partial E_{^{1} ╱_{2}}} d E_{^{1} ╱_{2}} \\ d S_{1} = - d S_{2} \end{aligned}

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$d$

$S$

$S$

$V$

$d$

$V$

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$d$

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$d$

$E$

$d$

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