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I don't know if this is the right place to ask for an answer to this question. If not, I would migrate the question with no problem. Anyway I use genetic algorithm quite often to find maxima and minima of a function, but i don't know why it work. Better, I guess why it work, but i would like to see a mathematical proof of the why this algorithm find the maxima and the minima of a function. Thanx

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Nothing ensures that a genetic algorithm will work, any more than evolution ensures that a species will survive. It's still basically a lot of trial-and-error effort to find better solutions. – Thomas Andrews Nov 9 '12 at 15:37

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