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## Main Question or Discussion Point

Is it true that partition function for canonical ensemble is

[tex]Z=\sum_{\{states j\}}e^{-\beta E_j}=e^{-\beta F}[/tex]

where [tex]F[/tex] is Helmholtz free energy?

[tex]Z=\sum_{\{states j\}}e^{-\beta E_j}=e^{-\beta F}[/tex]

where [tex]F[/tex] is Helmholtz free energy?