Topic: Equivalence Relation
Answers to Common Questions
What are equivalence relations?
An equivalence relation r on a set U is a relation that is symmetric (A r B implies B r A), reflexive (A r A) and transitive (A r B and B r C implies A r C). If these three properties are true for all elements A, B, and C in U, then r is a ... Read More »
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What is the largest equivalence relation on a set A?
An equivalence relation on a set is one that is transitive, reflexive and symmetric. Given a set A with n elements, the largest equivalence relation is AXA since it has n 2 elements. Given any element a of the set, the smallest equivalence ... Read More »
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What is equivalence relation?
n. A reflexive, symmetric, and transitive relationship between elements of a set, such as congruence for the set of all triangles in a plane. Read More »
Source: http://www.answers.com/topic/equivalence-relation
Featured Content: Equivalence Relation
In mathematics, an equivalence relation is a relation that, loosely speaking, partitions a set so that every element of the set is a member of one and only one cell ... More »
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