congruence of numbers

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• Congruence bias — is a type of cognitive bias similar to confirmation bias. Congruence bias occurs due to people s overreliance on direct testing of a given hypothesis, and a neglect of indirect testing. Examples Suppose that in an experiment, a subject is… …   Wikipedia

• Congruence lattice problem — In mathematics, the congruence lattice problem asks whether every algebraic distributive lattice is isomorphic to the congruence lattice of some other lattice. The problem was posed by Robert P. Dilworth, and for many years it was one of the most …   Wikipedia

• Congruence of squares — In number theory, a congruence of squares is a congruence commonly used in integer factorization algorithms. Derivation Given a positive integer n, Fermat s factorization method relies on finding numbers x, y satisfying the equality We can then… …   Wikipedia

• Congruence (geometry) — An example of congruence. The two figures on the left are congruent, while the third is similar to them. The last figure is neither similar nor congruent to any of the others. Note that congruence …   Wikipedia

• congruence — /kong grooh euhns, keuhn grooh , keuhng /, n. 1. the quality or state of agreeing or corresponding. 2. Math. a relation between two numbers indicating that the numbers give the same remainder when divided by some given number. Cf. residue (def.… …   Universalium

• congruence — con•gru•ence [[t]ˈkɒŋ gru əns, kənˈgru , kəŋ [/t]] n. 1) the quality or state of agreeing or corresponding 2) math. a relation between two numbers in which the numbers give the same remainder when divided by a given number • Etymology: 1400–50;… …   From formal English to slang

• congruence — noun Date: 15th century 1. the quality or state of agreeing, coinciding, or being congruent 2. a statement that two numbers or geometric figures are congruent …   New Collegiate Dictionary

• congruence — noun a) The quality of agreeing or corresponding; being suitable and appropriate. b) a relation between two numbers indicating they give the same remainder when divided by some given number Syn …   Wiktionary

• Linear congruence theorem — In modular arithmetic, the question of when a linear congruence can be solved is answered by the linear congruence theorem. If a and b are any integers and n is a positive integer, then the congruence: ax equiv; b (mod n ) (1)has a solution for x …   Wikipedia

• Mirimanoff's congruence — In number theory, a branch of mathematics, a Mirimanoff s congruence is one of a collection of expressions in modular arithmetic which, if they hold, entail the truth of Fermat s Last Theorem. Since the theorem has now been proven, these are now… …   Wikipedia

• Matrix congruence — In mathematics, two matrices A and B over a field are called congruent if there exists an invertible matrix P over the same field such that PTAP = B where T denotes the matrix transpose. Matrix congruence is an equivalence relation. Matrix… …   Wikipedia