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There are at least three key motivators for σ-algebras: defining measures, manipulating limits of sets, and managing partial information characterized by sets.

INTO JAPANESE

σ代数には少なくとも 3 つの重要な動機があります。それは測度の定義、集合の極限の操作、集合によって特徴付けられる部分情報の管理です。

BACK INTO ENGLISH

There are at least three important motivations for the σ-algebra. It is the definition of measures, the manipulation of limits of sets, and the management of partial information characterized by sets.

INTO JAPANESE

σ-代数には少なくとも 3 つの重要な動機があります。それはメジャーの定義、集合の限界の操作、集合によって特徴付けられる部分情報の管理です。

BACK INTO ENGLISH

There are at least three important motivations for σ-algebra. These are the definition of measures, the manipulation of the limits of sets, and the management of partial information characterized by sets.

INTO JAPANESE

σ-代数には少なくとも 3 つの重要な動機があります。これらは、メジャーの定義、集合の限界の操作、集合によって特徴付けられる部分情報の管理です。

BACK INTO ENGLISH

There are at least three important motivations for σ-algebra. These are the definition of measures, the manipulation of the limits of sets, and the management of partial information characterized by sets.