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单词 outer measure
释义

outer measure

An outer measure on a set X is a map m from the power set of X to [0,∞] such that

m(⌀) = 0;
m is monotonic: if A ⊆ B, then m(A) ≤ m(B);
m is countably subadditive: inline.

Given an outer measure m, a set E is called Carathéodory measurable if

for all subsets A of X. The Carathéodory measurable sets form a sigma algebra on which m is a measure.

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更新时间:2025/5/20 8:55:32