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Display information for equation id:math.2269.66 on revision:2269
* Page found: Vorurteilsfreie Schätzung des statistischen Operators zu einem festen Zeitpunkt (eq math.2269.66)
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Hash: a7b596ebc37fde20a217f0e8ce510e17
TeX (original user input):
\begin{align}
& =\sum\limits_{m,n}^{{}}{\left[ \left\langle {{r}_{m}} | {{w}_{n}} \right\rangle \left\langle {{w}_{n}} | {{r}_{m}} \right\rangle {{r}_{m}}\ln {{r}_{m}}-{{r}_{m}}\left\langle {{r}_{m}} \right|\ln R\left| {{w}_{n}} \right\rangle \left\langle {{w}_{n}} | {{r}_{m}} \right\rangle \right]} \\
& =\sum\limits_{m,n}^{{}}{\left[ {{\left| \left\langle {{r}_{m}} | {{w}_{n}} \right\rangle \right|}^{2}}{{r}_{m}}\left( \ln {{r}_{m}}-\ln {{R}_{n}} \right) \right]} \\
& =\sum\limits_{m,n}^{{}}{\left[ {{\left| \left\langle {{r}_{m}} | {{w}_{n}} \right\rangle \right|}^{2}}{{r}_{m}}\left( -\ln \frac{{{R}_{n}}}{{{r}_{m}}} \right) \right]} \\
\end{align}
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