Last Updated :2025/11/26

countably additive

Adjective
not-comparable
Japanese Meaning
(測度に関して)可算個の互いに交わらない集合に対し、それぞれの集合の測度の和が全体の測度に一致する性質、すなわち可算加法性を持つこと。
What is this buttons?

優越収束定理を適用するためには、σ-代数上で可算加法性を満たす測度が必要です。

Quizzes for review

(mathematical analysis) Of a measure: that satisfies countable additivity.

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countably additive

To apply the dominated convergence theorem, we require a countably additive measure on the σ-algebra.

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To apply the dominated convergence theorem, we require a countably additive measure on the σ-algebra.

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