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[[Congruence|Congruence relations]] are examples of equivalence relations, as is the j-invariant of [[Elliptic_curve|elliptic curves]].  

[[Congruence|Congruence relations]] are examples of equivalence relations, as is the j-invariant of [[Elliptic_curve|elliptic curves]].  

An equivalence relation on a set S [[Partition|partitions]] S into [[disjoint]] subsets, known as ''equivalence classes''. Two objects in the same equivalence class are said to be ''equivalent''.

An equivalence relation on a set S [[Partition|partitions]] S into [[disjoint]] subsets, known as '''equivalence classes'''. Two objects in the same equivalence class are said to be '''equivalent'''.

Equivalence relations are the mathematical foundation for forming [[Quotient|quotients]].

Equivalence relations are the mathematical foundation for forming [[Quotient|quotients]].

[[Category:Mathematics]]

[[Category:Mathematics]]