Last Updated
：2025/11/26
countable additivity
Noun
uncountable
Japanese Meaning
可算加法性：測度論において、互いに交わらない（非重複な）集合の可算な和の測度が、各集合の測度の和に等しいという性質を示す概念。
Quizzes for review
(mathematical analysis) The following property of a measure: that the measure of a countable union of disjoint sets is equal to the sum of their measures.
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countable additivity
To prove the theorem, we relied on countable additivity of the measure to interchange the measure with the sum over disjoint sets.
See correct answer
To prove the theorem, we relied on countable additivity of the measure to interchange the measure with the sum over disjoint sets.
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