Relations: Difference between revisions
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A binary relation R on a set A is a subset of the Cartesian product A x A. | A binary relation R on a set A is a subset of the Cartesian product A x A. | ||
A n-ary relation on sets A<sub>1</sub>, A<sub>2</sub>, .... A<sub>n</sub> is a subset of the Cartesian product A<sub>1</sub> x A<sub>2</sub> x ... A<sub>n</sub>. | A n-ary relation on sets A<sub>1</sub>, A<sub>2</sub>, .... A<sub>n</sub> is a subset of the Cartesian product A<sub>1</sub> x A<sub>2</sub> x ... x A<sub>n</sub>. | ||
Revision as of 21:45, 27 August 2018
Internal
Overview
A binary relation R on two sets A and B is a subset of the Cartesian product A x B. If (a, b) belongs to the subset of the Cartesian product that defines the relation, we write a R b.
A binary relation R on a set A is a subset of the Cartesian product A x A.
A n-ary relation on sets A1, A2, .... An is a subset of the Cartesian product A1 x A2 x ... x An.
An example of a binary relation on a finite set is the edge set of a graph.
TODO
CLRS page 1163