Relations: Difference between revisions
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A '''binary relation''' R on two sets A and B is a subset of the [[Cartesian_Product#Overview|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 two sets A and B is a subset of the [[Cartesian_Product#Overview|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. | |||
Revision as of 21:43, 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.
An example of a binary relation on a finite set is the edge set of a graph.
TODO
CLRS page 1163