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Display information for equation id:math.2392.81 on revision:2392

* Page found: Informationsmaße (eq math.2392.81)

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TeX (original user input):

\begin{align}

& \delta K\left( P,P\acute{\ } \right)=\sum\limits_{i}^{{}}{{}}\left( \ln \frac{{{P}_{i}}}{{{P}_{i}}\acute{\ }}+1 \right)\delta {{P}_{i}} \\

& \sum\limits_{i}^{{}}{{}}\left( \ln \frac{{{P}_{i}}}{{{P}_{i}}\acute{\ }}+1+\lambda  \right)\delta {{P}_{i}}=0 \\

& \Rightarrow \ln (\frac{{{P}_{i}}}{{{P}_{i}}\acute{\ }})=-\left( +1+\lambda  \right)=const. \\

& \Rightarrow {{P}_{i}}\tilde{\ }{{P}_{i}}\acute{\ } \\

\end{align}

TeX (checked):

{\begin{aligned}&\delta K\left(P,P{\acute {\ }}\right)=\sum \limits _{i}^{}{}\left(\ln {\frac {{P}_{i}}{{{P}_{i}}{\acute {\ }}}}+1\right)\delta {{P}_{i}}\\&\sum \limits _{i}^{}{}\left(\ln {\frac {{P}_{i}}{{{P}_{i}}{\acute {\ }}}}+1+\lambda \right)\delta {{P}_{i}}=0\\&\Rightarrow \ln({\frac {{P}_{i}}{{{P}_{i}}{\acute {\ }}}})=-\left(+1+\lambda \right)=const.\\&\Rightarrow {{P}_{i}}{\tilde {\ }}{{P}_{i}}{\acute {\ }}\\\end{aligned}}

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MathML (3.788 KB / 561 B) :

δK(P,P´)=i(lnPiPi´+1)δPii(lnPiPi´+1+λ)δPi=0ln(PiPi´)=(+1+λ)=const.Pi~Pi´
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