I'm trying to understand BM; on this topic, tutorials explain it with two formulas: logistic function for the probabilty of single units


and, when the machine is running, every state of the machine go to the probability

$ p(State= state\ with\ energy\ E_i )=\frac{e^{-E_i}}{\sum\limits_i e^{-E_i}} $

so, the state depends by the units, and then if I understand, the second formula is a consequenze of the first; so, how can it the proof that the distribution of $p(state)$ is a consequence of $p(unit)$?


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