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Lecture 13

# COMS W3203 Lecture 13: Equivalence relation, equilivalence class, partitions Premium

2 Pages
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Department
Computer Science
Course Code
COMS W3203
Professor
Ansaf Salleb- Aouissi

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Description
Discrete Math Lecture 13 1024 Example: o on the sets (students classes) o Properties o Reflexive IF ( ) o Irreflexive I o Symmetric IFF o Antisymmetric IFF , = o Transivitive IF,, o Note: not symmetric is different from antisymmetric Diagraphs o o a is reflexive o e,d and d,f and e,f and b,c are symmetric Equivalence relation o Let R be a relation on a set A. We call R an equivalence relation provided it is reexive, symmetric, and transitive. o Example: Consider the relation has same cardinality as dened as: A R B IFF A = B
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