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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 Index set ： ウィキペディア英語版 Index set In mathematics, an index set is a set whose members label (or index) members of another set.〔Munkres, James R. Topology. Vol. 2. Upper Saddle River: Prentice Hall, 2000.〕 For instance, if the elements of a set ''A'' may be ''indexed'' or ''labeled'' by means of a set ''J'', then ''J'' is an index set. The indexing consists of a surjective function from ''J'' onto ''A'' and the indexed collection is typically called an ''(indexed) family'', often written as (''A''''j'')''j''∈''J''. ==Examples== *An enumeration of a set gives an index set $J\; \backslash sub\; \backslash mathbb$, where is the particular enumeration of . *Any countably infinite set can be indexed by $\backslash mathbb$. *For $r\; \backslash in\; \backslash mathbb$, the indicator function on is the function $\backslash mathbf\_r\backslash colon\; \backslash mathbb\; \backslash rarr\; \backslash$ given by : The set of all the $\backslash mathbf\_r$ functions is an uncountable set indexed by $\backslash mathbb$. 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「Index 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.