翻訳と辞書 Words near each other ・ Paradoxa thomensis ・ Paradoxecia ・ Paradoxes of material implication ・ Paradoxes of set theory ・ Paradoxia ・ Paradoxica ・ Paradoxica asymmetrica ・ Paradoxica parki ・ Paradoxica proxima ・ Paradoxical disinhibition ・ Paradoxical embolism ・ Paradoxical Frog (album) ・ Paradoxical intention ・ Paradoxical laughter ・ Paradoxical reaction ・ Paradoxical set ・ Paradoxiconus ・ Paradoxides ・ Paradoxides bohemicus ・ Paradoxides davidis ・ Paradoxididae ・ Paradoxidoidea ・ Paradoxodacna piratica ・ Paradoxodes ・ Paradoxoglanis ・ Paradoxoglanis caudivittatus ・ Paradoxoglanis cryptus ・ Paradoxoglanis parvus ・ Paradoxography ・ Paradoxomyces 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 Paradoxical set ： ウィキペディア英語版 Paradoxical set In set theory, a paradoxical set is a set that has a paradoxical decomposition. A paradoxical decomposition of a set is a partitioning of the set into two subsets, along with an appropriate group of functions that operate on some universe (of which the set in question is a subset), such that each partition can be mapped back onto the entire set using only finitely many distinct functions (or compositions thereof) to accomplish the mapping. Since a paradoxical set as defined requires a suitable group $G$, it is said to be $G$-paradoxical, or paradoxical with respect to $G$. Paradoxical sets exist as a consequence of the Axiom of Infinity. Admitting infinite classes as sets is sufficient to allow paradoxical sets. == Examples == 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「Paradoxical set」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.