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单词 AlmostContinuousFunction
释义

almost continuous function


Let m denote Lebesgue measureMathworldPlanetmath, A be a Lebesgue measurable subset of , and f:A (or f:A). Then f is almost continuousMathworldPlanetmath if, for every ε>0, there exists a closed subset F of such that FA, m(A-F)<ε, and f|F is continuous.

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更新时间:2025/5/4 22:18:11