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单词 absolutely continuous
释义

absolutely continuous

A stronger condition than continuous or uniformly continuous. A function f on an interval I (of the real line) is absolutely continuous if, for every positive number ε, there exists a positive number δ so that for every finite sequence of pairwise disjoint subintervals of I with inline then inline. Functions satisfying the Lipschitz condition are absolutely continuous. Absolutely continuous functions have a derivative almost everywhere (see almost all) which satisfies the Fundamental Theorem of Calculus. See also Cantor distribution.

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更新时间:2025/5/20 6:27:44