Last Updated：2025/11/26

(mathematical analysis) A subset of a given measurable space which is a member of the σ-algebra of that space.

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measurable set

Source Word

measurable set

Noun

(mathematical analysis) A subset of a given measurable space which is a member of the σ-algebra of that space.

Japanese Meaning

可測集合 - 測度空間のσ-加法族に属する部分集合。つまり、与えられた測度空間において、その集合が測度の定義に適合する性質を持つ集合。

To apply Fubini's theorem, you must verify that each slice is a measurable set in the product σ-algebra.

フビニの定理を適用するには、各スライスが積σ-代数に属する可測集合であることを確認する必要がある。

Sense（1）

(mathematical analysis) A subset of a given measurable space which is a member of the σ-algebra of that space.

measurable sets

（ plural ）