Congruence (disambiguation): Difference between revisions
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In [[mathematics]], '''congruence''' may refer to: | In [[mathematics]], '''congruence''' may refer to: | ||
* In [[Euclidean geometry]], the relation between figures that can be superposed by rigid | * In [[Euclidean geometry]], the relation between figures that can be superposed by [[rigid motion]]s | ||
** In particular, the relation between [[congruent triangles]] | |||
* In [[modular arithmetic]], the property of integers having the same remainder on division by a given modulus | * In [[modular arithmetic]], the property of integers having the same remainder on division by a given modulus | ||
* In [[ring theory]], the property of elements of a ring lying in the same coset of a given ideal | * In [[ring theory]], the property of elements of a ring lying in the same coset of a given ideal | ||
* In [[matrix theory]], the property of matrices relating to the same bilinear form with respect to different bases | * In [[matrix theory]], the property of matrices relating to the same [[bilinear form]] with respect to different bases | ||
* In [[abstract algebra]], an equivalence relation which respects algebraic operations | * In [[abstract algebra]], an equivalence relation which respects algebraic operations | ||
Latest revision as of 11:51, 31 May 2009
This disambiguation page lists articles associated with the same or a similar title.
In mathematics, congruence may refer to:
- In Euclidean geometry, the relation between figures that can be superposed by rigid motions
- In particular, the relation between congruent triangles
- In modular arithmetic, the property of integers having the same remainder on division by a given modulus
- In ring theory, the property of elements of a ring lying in the same coset of a given ideal
- In matrix theory, the property of matrices relating to the same bilinear form with respect to different bases
- In abstract algebra, an equivalence relation which respects algebraic operations