'Equivalence relation r' presentation slideshows

CS201: Data Structures and Discrete Mathematics I

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8.5 Equivalence Relations

8.5 Equivalence Relations. Def. of Equivalence Relation. Def: A relation on a set A is called an equivalence relation if it is R, S, and T (Reflexive, Symmetric, and Transitive).

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2.6 Equivalence Relation

2.6 Equivalence Relation. 1.Equivalence relation Definition 2.18: A relation R on a set A is called an equivalence relation if it is reflexive, symmetric, and transitive.

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Equivalence Relations

Equivalence Relations . Equivalence relations are used to relate objects that are similar in some way. Definition: A relation on a set A is called an equivalence relation if it is reflexive, symmetric, and transitive.

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Equivalence Relations. Partial Ordering Relations

Equivalence Relations. Partial Ordering Relations. Equivalence Relation and Partition. Every equivalence relation on S gives rise to a partition of S by taking the family of subsets in the partition to be the equivalence classes of the equivalence relation.

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Section 7.5: Equivalence Relations

Section 7.5: Equivalence Relations. Def : A relation R on a set A is called an equivalence relation if it is reflexive, symmetric, and transitive. Ex : Let A be any set and define R = {(a, b) | a = b}. That is, every element of A is related to itself only.

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