Binary relation
ANY SET OF ORDERED PAIRS; (ON A SET A) COLLECTION OF ORDERED PAIRS OF ELEMENTS OF A, I.E. SUBSET OF A × A; (BETWEEN TWO SETS A AND B) COLLECTION OF ORDERED PAIRS WITH FIRST ELEMENT IN A AND SECOND ELEMENT IN B
Asymmetrical relationship; MathematicalRelation; Mathematical relationship; Binary predicate; Mathematical relation; Binary relations; Dyadic relation; Two-place relation; ≙; Relational mathematics; Functional relation; Surjective relation; Injective relation; One-to-one relation; Onto relation; Right-total; Right-total relation; Right-unique relation; Right-unique; Field of a relation; Range of a relation; Domain of a relation; Difunctional; Afterset; Foreset; Many-to-one relation; Operations on binary relations; Set-like relation; Heterogeneous relation; Rectangular relation; Heterorelativ; Left-unique relation; Fringe of a relation; Draft:Binary relation Definition; Right-definite relation; Univalent relation; Contact relation; Draft:Correspondence (mathematics); One-to-many relation; Many-to-many relation; Draft:Mathematical correspondence; Relation on a set; Binary relation over a set; Restriction relation; Binary relation on a set; Right total relation; Right total; Difunctional relation
In mathematics, a binary relation associates elements of one set, called the domain, with elements of another set, called the codomain. A binary relation over sets and is a new set of ordered pairs consisting of elements in and in .