Last Updated:2025/11/26
Sentence

測度論において、σ加法性は互いに素な可算個の集合の和集合の測度がそれらの測度の和に等しいことを保証する。

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In measure theory, sigma additivity ensures that the measure of a countable union of disjoint sets equals the sum of their measures.

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In measure theory, sigma additivity ensures that the measure of a countable union of disjoint sets equals the sum of their measures.

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Related words

sigma additivity

Noun
alt-of alternative uncountable
Japanese Meaning
σ加法性:測度論における性質の一つで、互いに素な可算個の集合(または部分集合)の測度の和が、それらの和集合の測度に一致するという性質。 / 可算加法性:同様に、可算個の互いに重なりのない集合の合計が全体の測度に等しくなる性質を指す。
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測度論において、σ加法性は互いに素な可算個の集合の和集合の測度がそれらの測度の和に等しいことを保証する。

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