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reflexive closure : ウィキペディア英語版 | reflexive closure In mathematics, the reflexive closure of a binary relation ''R'' on a set ''X'' is the smallest reflexive relation on ''X'' that contains ''R''. For example, if ''X'' is a set of distinct numbers and ''x R y'' means "''x'' is less than ''y''", then the reflexive closure of ''R'' is the relation "''x'' is less than or equal to ''y''". == Definition ==
The reflexive closure ''S'' of a relation ''R'' on a set ''X'' is given by : In words, the reflexive closure of ''R'' is the union of ''R'' with the identity relation on ''X''.
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「reflexive closure」の詳細全文を読む
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