Relation

set-theory

Definition

Relation

A relation is a set of ordered pairs that associates elements from set , the domain, with elements of set , the codomain, denoted as (using the Cartesian Product).

An element is related to an element by the relation if , which can be denoted:

Domain

Definition

Domain (Relation )

Let b a relation. Then the domain of is defined as:

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Range

Definition

Range (Relation)

Let be a relation. The range of is defined as:

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