English Dictionary

measurable function

名詞

(mathematical analysis) A function whose codomain is a topological space and domain is a measurable space, with the property that the inverse image of every open set in its codomain is a measurable set in its domain.

日本語の意味

可測関数：定義域が可測空間であり、価域が位相空間で、任意の開集合の逆像が定義域内の可測集合となる関数。

To apply the dominated convergence theorem, we first verify that the sequence converges pointwise to a measurable function.

優占収束定理を適用するために、まずその数列が点ごとに可測空間から位相空間への写像であり、位相空間の任意の開集合の逆像が可測である関数に収束することを確認する。

意味（1）

(mathematical analysis) A function whose codomain is a topological space and domain is a measurable space, with the property that the inverse image of every open set in its codomain is a measurable set in its domain.

意味（2）

(mathematics) Any well-behaved function of real numbers between measurable spaces.

measurable functions （ plural ）