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Display information for equation id:math.2466.15 on revision:2466
* Page found: Entropie und Ökologie (eq math.2466.15)
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Hash: d3b53669aef4a6dfe96c4a4511d2a286
TeX (original user input):
\begin{align}
& {{S}_{mix}}={{S}_{nach}}-{{S}_{vor}}=-k\sum\limits_{i=1}^{3}{{}}{{N}_{i}}\left( \ln \frac{1}{N}-\ln \frac{1}{{{N}_{i}}} \right)=-k\sum\limits_{i=1}^{3}{{}}{{N}_{i}}\ln \frac{{{N}_{i}}}{N} \\
& \frac{{{N}_{i}}}{N}<1 \\
& \Rightarrow {{S}_{mix}}>0 \\
\end{align}
TeX (checked):
{\begin{aligned}&{{S}_{mix}}={{S}_{nach}}-{{S}_{vor}}=-k\sum \limits _{i=1}^{3}{}{{N}_{i}}\left(\ln {\frac {1}{N}}-\ln {\frac {1}{{N}_{i}}}\right)=-k\sum \limits _{i=1}^{3}{}{{N}_{i}}\ln {\frac {{N}_{i}}{N}}\\&{\frac {{N}_{i}}{N}}<1\\&\Rightarrow {{S}_{mix}}>0\\\end{aligned}}
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