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单词 Reflexive relation
释义

Reflexive relation

中文百科

自反关系

自反关系是在逻辑学和数学中一种特殊的二元关系,这样的二元关系被称为自反的,也被称为具有自反性

集合X,以及其上的二元关系R,若满足:∀a∈X,有aRa。则称二元关系R是自反的,或称R具有自反性,或称R为自反关系

英语百科

Reflexive relation 自反关系

ClasiBinaEs 004.svg
Drei reflexive Relationen, als gerichtete Graphen dargestellt

In mathematics, a binary relation R over a set X is reflexive if every element of X is related to itself.

In mathematical notation, this is:

An example of a reflexive relation is the relation "is equal to" on the set of real numbers, since every real number is equal to itself. A reflexive relation is said to have the reflexive property or is said to possess reflexivity.

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