翻訳と辞書 |
Equivalence relation : ウィキペディア英語版 | Equivalence relation
In mathematics, an equivalence relation is the relation that holds between two elements if and only if they are members of the same cell within a set that has been partitioned into cells such that every element of the set is a member of one and only one cell of the partition. The intersection of any two different cells is empty; the union of all the cells equals the original set. These cells are formally called equivalence classes. == Notation == Although various notations are used throughout the literature to denote that two elements ''a'' and ''b'' of a set are equivalent with respect to an equivalence relation ''R'', the most common are "''a'' ~ ''b''" and "''a'' ≡ ''b''", which are used when ''R'' is the obvious relation being referenced, and variations of "''a'' ~''R'' ''b''", "''a'' ≡''R'' ''b''", or "''aRb''" otherwise.
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「Equivalence relation」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.
|
|