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{{Wiktionary|congruence|β }} '''Congruence''' may refer to: {{TOC right}} ==Mathematics== * [[Congruence (geometry)]], being the same size and shape * Congruence or [[congruence relation]], in abstract algebra, an equivalence relation on an algebraic structure that is compatible with the structure * In [[modular arithmetic]], having the same remainder when divided by a specified integer **[[Ramanujan's congruences]], congruences for the partition function, {{math|''p''(''n'')}}, first discovered by Ramanujan in 1919 **[[Congruence subgroup]], a subgroup defined by congruence conditions on the entries of a matrix group with integer entries **[[Congruence of squares]], in number theory, a congruence commonly used in integer factorization algorithms * [[Matrix congruence]], an equivalence relation between two matrices * [[Congruence (manifolds)]], in the theory of smooth manifolds, the set of integral curves defined by a nonvanishing vector field defined on the manifold * [[Congruence (general relativity)]], in general relativity, a congruence in a four-dimensional Lorentzian manifold that is interpreted physically as a model of spacetime or a bundle of world lines * [[Zeller's congruence]], an algorithm to calculate the day of the week for any date * [[Scissors congruence]], related to Hilbert's third problem ==Mineralogy and chemistry== In mineralogy and chemistry, the term congruent (or incongruent) may refer to: <!-- Congruent redirect to Congruence --> * [[Solubility#Incongruent_dissolution|Congruent dissolution]]: substances dissolve congruently when the composition of the solid and the dissolved solute stoichiometrically match * [[Congruent melting]] occurs during melting of a compound when the composition of the liquid that forms is the same as the composition of the solid * [[Incongruent transition]], in chemistry, is a mass transition between two phases which involves a change in chemical composition ==Psychology== * In Carl Rogers' personality theory, the compliance between ideal self and actual self-see [[Carl Rogers#Incongruity]] * [[Mood congruence]] between feeling or emotion (in psychiatry and psychology) * Incongruity [[theory of humor]] == See also == * [[Congruence bias]], a type of cognitive bias, similar to confirmation bias * [[Congruence principle (disambiguation)]] * [[Hatch mark]], geometric notation for congruent line segments * [[β ]] * [[β‘ (disambiguation)]] * [[β]] {{disambiguation}}
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