最終更新日：2024/08/01

Dictionary quizzes to help you remember vocabulary

(mathematical analysis) A collection of subsets of a given set, such that the empty set is part of this collection, the collection is closed under complements (with respect to the given set) and the collection is closed under countable unions.

問題を編集する

編集履歴（0）

元となった辞書の項目

σ-algebra

/ˈsɪɡ.mə ˈæl.dʒɪ.bɹə/

noun

The σ-algebra is a fundamental concept in measure theory.

Google翻訳 / DeepL翻訳

詳細

意味（1）

Consider all the sigma-algebras that contain ℱ and take their intersection, which we call 𝛴, i.e., a subset A⊂𝛺 is in 𝛴 if and only if A is in every sigma-algebra containing ℱ. It is easy to check that 𝛴 is indeed a sigma-algebra.

Google翻訳 / DeepL翻訳

詳細

σ-algebra

Dictionary quizzes to help you remember vocabulary

ログイン / 新規登録

アプリをダウンロード！

σ-algebra

Dictionary quizzes to help you remember vocabulary

ログイン / 新規登録

ログイン

──── or ────

新規登録

──── or ────

アプリをダウンロード！