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Display information for equation id:math.2392.77 on revision:2392
* Page found: Informationsmaße (eq math.2392.77)
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Hash: cbde09294184aebd32077b67e6abb7df
TeX (original user input):
\begin{align}
& K\left( P,P\acute{\ } \right)=\sum\limits_{i}^{{}}{{}}{{P}_{i}}\ln N{{P}_{i}}=\sum\limits_{i}^{{}}{{}}{{P}_{i}}\ln {{P}_{i}}+\sum\limits_{i}^{{}}{{}}{{P}_{i}}\ln N=I(P)+\ln N \\
& wegen\sum\limits_{i}^{{}}{{}}{{P}_{i}}=1 \\
& \Rightarrow K\left( P,P\acute{\ } \right)=I(P)+\ln N \\
\end{align}
TeX (checked):
{\begin{aligned}&K\left(P,P{\acute {\ }}\right)=\sum \limits _{i}^{}{}{{P}_{i}}\ln N{{P}_{i}}=\sum \limits _{i}^{}{}{{P}_{i}}\ln {{P}_{i}}+\sum \limits _{i}^{}{}{{P}_{i}}\ln N=I(P)+\ln N\\&wegen\sum \limits _{i}^{}{}{{P}_{i}}=1\\&\Rightarrow K\left(P,P{\acute {\ }}\right)=I(P)+\ln N\\\end{aligned}}
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MathML (2.586 KB / 481 B) :
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