exact quotient
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quotient — [ kɔsjɑ̃ ] n. m. • 1484; lat. quotie(n)s « combien de fois, autant de fois que » 1 ♦ Résultat d une division. Quotient de deux nombres, obtenu en les divisant l un par l autre. Quotient, dans un anneau commutatif A, de a par b (a, b, éléments de… … Encyclopédie Universelle
Quotient category — In mathematics, a quotient category is a category obtained from another one by identifying sets of morphisms. The notion is similar to that of a quotient group or quotient space, but in the categorical setting.DefinitionLet C be a category. A… … Wikipedia
Exact sciences (The) in Hellenistic times: texts and issues — The exact sciences in Hellenistic times: Texts and issues1 Alan C.Bowen Modern scholars often rely on the history of Greco Latin science2 as a backdrop and support for interpreting past philosophical thought. Their warrant is the practice… … History of philosophy
Quotient space (linear algebra) — In linear algebra, the quotient of a vector space V by a subspace N is a vector space obtained by collapsing N to zero. The space obtained is called a quotient space and is denoted V / N (read V mod N ). Definition Formally, the construction is… … Wikipedia
Quotient group — In mathematics, given a group G and a normal subgroup N of G , the quotient group, or factor group, of G over N is intuitively a group that collapses the normal subgroup N to the identity element. The quotient group is written G / N and is… … Wikipedia
Exact category — In mathematics, an exact category is a concept of category theory due to Daniel Quillen which is designed to encapsulate the properties of short exact sequences in abelian categories without requiring that morphisms actually possess kernels and… … Wikipedia
Herbrand quotient — In mathematics, the Herbrand quotient is a quotient of orders of cohomology groups of a cyclic group. It was invented by Jacques Herbrand.DefinitionIf G is a finite cyclic group acting on a module A , then the cohomology groups H n ( G , A ) have … Wikipedia
Rayleigh quotient — In mathematics, for a given complex Hermitian matrix A and nonzero vector x, the Rayleigh quotient R(A, x) is defined as::{x^{*} A x over x^{*} x}For real matrices and vectors, the condition of being Hermitian reduces to that of being symmetric,… … Wikipedia
Modulo operation — Quotient (red) and remainder (green) functions using different algorithms. In computing, the modulo operation finds the remainder of division of one number by another. Given two positive numbers, a (the dividend) and n (the divisor), a modulo n… … Wikipedia
Group cohomology — This article is about homology and cohomology of a group. For homology or cohomology groups of a space or other object, see Homology (mathematics). In abstract algebra, homological algebra, algebraic topology and algebraic number theory, as well… … 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
