# binary relation

binary relationnoun

*Mathematics*

A set of assignments from one set to itself or to another set. For example, “less than” is a binary relation from the set of real numbers to itself in which 3 is assigned to 4 (because 3 < 4), but 4 is not assigned to 3 (because 4 > 3).

## binary-relation

Noun

(*plural* binary relations)

- (set theory) A relation, such as "is less than" or "is the daughter of", that makes statements about pairs of objects, these statements being true or false depending on the objects.