Inverse relation

In mathematics, the inverse relation of a binary relation is the relation that occurs when the order of the elements is switched in the relation. For example, the inverse of the relation 'child of' is the relation 'parent of'. In formal terms, if $X$ and $Y$ are sets and $L \subseteq X \times Y$ is a relation from $X$ to $Y$ , then $L$ is the relation defined so that $y L x$ if and only if $x L y$ . In set-builder notation, $L = {(y, x) \in Y \times X | (x, y) \in L$ }.

单词	Inverse relation
释义	Inverse relation 英语百科 Inverse relation In mathematics, the inverse relation of a binary relation is the relation that occurs when the order of the elements is switched in the relation. For example, the inverse of the relation 'child of' is the relation 'parent of'. In formal terms, if $X$ and $Y$ are sets and $L \subseteq X \times Y$ is a relation from $X$ to $Y$ , then $L$ is the relation defined so that $y L x$ if and only if $x L y$ . In set-builder notation, $L = {(y, x) \in Y \times X \| (x, y) \in L$ }.
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