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.

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