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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Factorization lemma ： ウィキペディア英語版 Factorization lemma In measure theory, the factorization lemma allows us to express a function ''f'' with another function ''T'' if ''f'' is measurable with respect to ''T''. An application of this is regression analysis. ==Theorem== Let $T:\backslash Omega\backslash rightarrow\backslash Omega\text{'}$ be a function of a set $\backslash Omega$ in a measure space $(\backslash Omega\text{'},\backslash mathcal\text{'})$ and let $f:\backslash Omega\backslash rightarrow\backslash overline(\backslash mathcal\text{'})$ generated by $T$ in $\backslash Omega$ if and only if there exists a measurable function $g:(\backslash Omega\text{'},\backslash mathcal\text{'})\backslash rightarrow(\backslash overline(\backslash overline(\backslash overline\{\backslash mathbb\{R\}\})$ denotes the Borel set of the real numbers. If $f$ only takes finite values, then $g$ also only takes finite values. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Factorization lemma」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.