logo

Video encyclopedia

Equivalence class

2:48

What is Equivalence Classes and How to Find it?

3:04

Equivalence Classes - Georgia Tech - KBAI: Part 2

0:59

Equivalence classes of the integers mod 7

2:38

Equivalence Class (Definition)

1:43

What is Equivalence Class Partitioning (ECP)?

In mathematics, when the elements of some set S have a notion of equivalence defined on them, then one may naturally split the set S into equivalence classes. These equivalence classes are constructed so that elements a and b belong to the same equivalence class if and only if a and b are equivalent.
    • Examples 

    • Notation and formal definition 

    • Properties 

    • Graphical representation 

    • Invariants 

    • Quotient space in topology