What is an antisymmetric relation?
Understand the Problem
The question is asking for the definition and characteristics of an antisymmetric relation in mathematics, particularly in relation to set theory or order relations.
Answer
An antisymmetric relation is a binary relation R on a set A such that for all a and b in A, if (a, b) is in R and (b, a) is in R, then a must be equal to b.
An antisymmetric relation is a binary relation R on a set A such that for all a and b in A, if (a, b) is in R and (b, a) is in R, then a must be equal to b.
Answer for screen readers
An antisymmetric relation is a binary relation R on a set A such that for all a and b in A, if (a, b) is in R and (b, a) is in R, then a must be equal to b.
More Information
Antisymmetric relations are a key concept in set theory and discrete mathematics, used to describe specific properties of elements in a set.
Sources
- Antisymmetric Relation-Definition and Examples - BYJU'S - byjus.com
- Antisymmetric relation - Wikipedia - en.wikipedia.org
- Antisymmetric Relation - GeeksforGeeks - geeksforgeeks.org
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