Talk:Generating function (physics)

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i wonder whether the table is screwed; how can a = a + b. I think somebody tried to show how the generating functions are somehow related to legendre transforms (i.e. F2(q,P,t) = F1(q,Q,t) + QP), but i am not sure. Also, why do some of them have a positive sign for the legendre transform, something i dont understand? anton