翻訳と辞書 Words near each other ・ Cauchy product ・ Cauchy sequence ・ Cauchy space ・ Cauchy stress tensor ・ Cauchy surface ・ Cauchy theorem ・ Cauchy's convergence test ・ Cauchy's equation ・ Cauchy's functional equation ・ Cauchy's inequality ・ Cauchy's integral formula ・ Cauchy's integral theorem ・ Cauchy's test ・ Cauchy's theorem (geometry) ・ Cauchy's theorem (group theory) ・ Cauchy-continuous function ・ Cauchy-à-la-Tour ・ Cauchy–Binet formula ・ Cauchy–Born rule ・ Cauchy–Euler equation ・ Cauchy–Euler operator ・ Cauchy–Hadamard theorem ・ Cauchy–Kowalevski theorem ・ Cauchy–Rassias stability ・ Cauchy–Riemann equations ・ Cauchy–Schwarz inequality ・ Cauci ・ Cauco ・ Caucon ・ Caucones Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Cauchy-continuous function ： ウィキペディア英語版 Cauchy-continuous function In mathematics, a Cauchy-continuous, or Cauchy-regular, function is a special kind of continuous function between metric spaces (or more general spaces). Cauchy-continuous functions have the useful property that they can always be (uniquely) extended to the Cauchy completion of their domain. == Definition == Let ''X'' and ''Y'' be metric spaces, and let ''f'' be a function from ''X'' to ''Y''. Then ''f'' is Cauchy-continuous if and only if, given any Cauchy sequence (''x''1, ''x''2, …) in ''X'', the sequence (''f''(''x''1), ''f''(''x''2), …) is a Cauchy sequence in ''Y''. 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「Cauchy-continuous function」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.