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Display information for equation id:math.2461.61 on revision:2461

* Page found: Die Hauptsätze der Thermodynamik (eq math.2461.61)

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Die Hauptsätze der Thermodynamik Eq: math.2461.61

Hash: 2711f93a396f5957ef56d8f88b49222d

TeX (original user input):

\begin{align}
& 0\ge \oint\limits_{{}}{{}}\frac{\delta Q}{T}={{\left. \int_{1}^{2}{{}}\frac{\delta Q}{T} \right|}_{irreversibel}}+\left. \int_{2}^{1}{{}}\frac{\delta {{Q}_{r}}}{T} \right| \\
& \left. \int_{2}^{1}{{}}\frac{\delta {{Q}_{r}}}{T} \right|={{S}_{1}}-{{S}_{2}} \\
& \Leftrightarrow {{S}_{2}}-{{S}_{1}}\ge \int_{1}^{2}{{}}\frac{\delta Q}{T} \\
\end{align}

TeX (checked):

{\begin{aligned}&0\geq \oint \limits _{}{}{\frac {\delta Q}{T}}={{\left.\int _{1}^{2}{}{\frac {\delta Q}{T}}\right|}_{irreversibel}}+\left.\int _{2}^{1}{}{\frac {\delta {{Q}_{r}}}{T}}\right|\\&\left.\int _{2}^{1}{}{\frac {\delta {{Q}_{r}}}{T}}\right|={{S}_{1}}-{{S}_{2}}\\&\Leftrightarrow {{S}_{2}}-{{S}_{1}}\geq \int _{1}^{2}{}{\frac {\delta Q}{T}}\\\end{aligned}}

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MathML (3.385 KB / 512 B) :

\begin{aligned} 0 \geq \oint_{} \frac{δ Q}{T} = {\int_{1}^{2} \frac{δ Q}{T} |}_{i r r e v e r s i b e l} + \int_{2}^{1} \frac{δ Q_{r}}{T} | \\ \int_{2}^{1} \frac{δ Q_{r}}{T} | = S_{1} - S_{2} \\ \Leftrightarrow S_{2} - S_{1} \geq \int_{1}^{2} \frac{δ Q}{T} \end{aligned}

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Identifiers

$δ$

$Q$

$T$

$δ$

$Q$

$T$

$i$

$r$

$r$

$e$

$v$

$e$

$r$

$s$

$i$

$b$

$e$

$l$

$δ$

$Q_{r}$

$T$

$δ$

$Q_{r}$

$T$

$S_{1}$

$S_{2}$

$S_{2}$

$S_{1}$

$δ$

$Q$

$T$

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