Definition 5.1.1.1.1 (00HG): Relations

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Table of Contents
Part 2: Relations
Chapter 5: Relations
Section 5.1: Relations
Subsection 5.1.1: Foundations
Definition 5.1.1.1.1: Relations (cite)

Statistics Cite

Definition 5.1.1.1.1 ▶ Relations

A relation $R\colon A\mathrel {\rightarrow \kern -9.5pt\mathrlap {|}\kern 6pt}B$ from $A$ to $B$^[1]^[2] is a subset $R$ of $A\times B$.

Footnotes

[1] Further Terminology: Also called a multivalued function from $A$ to $B$, a relation over $A$ and $B$, relation on $A$ and $B$, a binary relation over $A$ and $B$, or a binary relation on $A$ and $B$.

[2] Further Terminology: When $A=B$, we also call $R\subset A\times A$ a relation on $A$.

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