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About: Denjoy–Luzin–Saks theorem     Goto   Sponge   NotDistinct   Permalink

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In mathematics, the Denjoy–Luzin–Saks theorem states that a function of generalized bounded variation in the restricted sense has a derivative almost everywhere, and gives further conditions of the set of values of the function where the derivative does not exist. N. N. Luzin and A. Denjoy proved a weaker form of the theorem, and Saks later strengthened their theorem.