Math Memes

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Memes related to mathematics.

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physicists doing math be like (lemmy.blahaj.zone)

submitted 10 months ago by immortal_crab@lemmy.blahaj.zone to c/mathmemes@lemmy.blahaj.zone

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[–] pankuleczkapl@lemmy.dbzer0.com 2 points 9 months ago

Well, sets of measure 0 are one of the fundamentals of the whole integration theory, so it is always wise to pay particular attention to their behaviour under certain transformations. The whole 1 + int + int^2 + ... series intuitively really seems to work as an inverse of 1 - int over a special subspace of R^R functions, I think a good choice would be a space of polynomials over e^x and X (to leave no ambiguity: R[X, e^X]). It is all we need to prove this theorem, and these operators behave much more predictably in it. It would be nice to find a formal definition for the convergence of the series, but I can't think of any metric that would scratch that itch.