- congruence theorem
- formula which declares triangles to be exactly coinciding (Geometry)
English contemporary dictionary. 2014.
English contemporary dictionary. 2014.
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
Congruence relation — See congruence (geometry) for the term as used in elementary geometry. In abstract algebra, a congruence relation (or simply congruence) is an equivalence relation on an algebraic structure (such as a group, ring, or vector space) that 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 (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
Isomorphism theorem — In mathematics, specifically abstract algebra, the isomorphism theorems are three theorems that describe the relationship between quotients, homomorphisms, and subobjects. Versions of the theorems exist for groups, rings, vector spaces, modules,… … Wikipedia
Chinese remainder theorem — The Chinese remainder theorem is a result about congruences in number theory and its generalizations in abstract algebra. In its most basic form it concerned with determining n, given the remainders generated by division of n by several numbers.… … Wikipedia
Proofs of Fermat's theorem on sums of two squares — Fermat s theorem on sums of two squares asserts that an odd prime number p can be expressed as: p = x^2 + y^2with integer x and y if and only if p is congruent to 1 (mod 4). The statement was announced by Fermat in 1640, but he supplied no proof … 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
Chinese remainder theorem — ▪ mathematics ancient theorem that gives the conditions necessary for multiple equations to have a simultaneous integer solution. The theorem has its origin in the work of the 3rd century AD Chinese mathematician Sun Zi, although the… … Universalium
Goldberg-Sachs theorem — The Goldberg Sachs theorem is a result in Einstein s theory of general relativity about vacuum solutions of the Einstein field equations relating the existence of a certain type of congruence with algebraic properties of the Weyl tensor. More… … Wikipedia