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Congruence

From Wikipedia, the free encyclopedia
(Redirected from Congruent)

Congruence may refer to:

Mathematics

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  • 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, 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

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In mineralogy and chemistry, the term congruent (or incongruent) may refer to:

  • 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

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See also

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