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Display information for equation id:math.940.63 on revision:940
* Page found: Verallgemeinerte kanonische Verteilung (eq math.940.63)
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Hash: 85fa00e5632e3c150eaac817ee15db37
TeX (original user input):
\begin{align}
& \frac{\partial I}{\partial \left\langle {{M}^{n}} \right\rangle }=\frac{\partial \Psi }{\partial {{\lambda }_{m}}}\frac{\partial {{\lambda }_{m}}}{\partial \left\langle {{M}^{n}} \right\rangle }-\frac{\partial {{\lambda }_{m}}}{\partial \left\langle {{M}^{n}} \right\rangle }\left\langle {{M}^{m}} \right\rangle -{{\lambda }_{n}} \\
& \frac{\partial \Psi }{\partial {{\lambda }_{m}}}=\left\langle {{M}^{m}} \right\rangle \\
& \Rightarrow \frac{\partial I}{\partial \left\langle {{M}^{n}} \right\rangle }=-{{\lambda }_{n}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{\frac {\partial I}{\partial \left\langle {{M}^{n}}\right\rangle }}={\frac {\partial \Psi }{\partial {{\lambda }_{m}}}}{\frac {\partial {{\lambda }_{m}}}{\partial \left\langle {{M}^{n}}\right\rangle }}-{\frac {\partial {{\lambda }_{m}}}{\partial \left\langle {{M}^{n}}\right\rangle }}\left\langle {{M}^{m}}\right\rangle -{{\lambda }_{n}}\\&{\frac {\partial \Psi }{\partial {{\lambda }_{m}}}}=\left\langle {{M}^{m}}\right\rangle \\&\Rightarrow {\frac {\partial I}{\partial \left\langle {{M}^{n}}\right\rangle }}=-{{\lambda }_{n}}\\\end{aligned}}
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MathML (3.659 KB / 437 B) :
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