Converse relation

In mathematics, the converse relation, or transpose, of a binary relation is the relation that occurs when the order of the elements is switched in the relation. For example, the converse of the relation 'child of' is the relation 'parent of'. In formal terms, if X and Y are sets and L ⊆ X × Y is a relation from X to Y, then LT is the relation defined so that y LT x if and only if x L y. In set-builder notation, LT = {(y, x) ∈ Y × X | (x, y) ∈ L}. Other notations for the converse relation include LC, L–1, L~, , L°, or L∨.

Converse relation

In mathematics, the converse relation, or transpose, of a binary relation is the relation that occurs when the order of the elements is switched in the relation. For example, the converse of the relation 'child of' is the relation 'parent of'. In formal terms, if X and Y are sets and L ⊆ X × Y is a relation from X to Y, then LT is the relation defined so that y LT x if and only if x L y. In set-builder notation, LT = {(y, x) ∈ Y × X | (x, y) ∈ L}. Other notations for the converse relation include LC, L–1, L~, , L°, or L∨.