invariant theory

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• Invariant theory — is a branch of abstract algebra that studies actions of groups on algebraic varieties from the point of view of their effect on functions. Classically, the theory dealt with the question of explicit description of polynomial functions that do not …   Wikipedia

• invariant theory — invariantų teorija statusas T sritis fizika atitikmenys: angl. invariant theory vok. Invariantentheorie, f rus. теория инвариантов, f pranc. théorie des invariants, f …   Fizikos terminų žodynas

• Geometric invariant theory — In mathematics Geometric invariant theory (or GIT) is a method for constructing quotients by group actions in algebraic geometry, used to construct moduli spaces. It was developed by David Mumford in 1965, using ideas from the paper… …   Wikipedia

• Invariant (mathematics) — In mathematics, an invariant is a property of a class of mathematical objects that remains unchanged when transformations of a certain type are applied to the objects. The particular class of objects and type of transformations are usually… …   Wikipedia

• Invariant factorization of LPDOs — IntroductionFactorization of linear ordinary differential operators (LODOs) is known to be unique and in general, it finally reduces to the solution of a Riccati equation [http://en.wikipedia.org/wiki/Riccati equation] , i.e. factorization of… …   Wikipedia

• Invariant algébrique — Théorie des invariants En mathématiques, la théorie des invariants, développée par David Hilbert, est l étude des invariants des formes algébriques (de façon équivalente, des tenseurs symétriques) pour les actions de groupe lors des… …   Wikipédia en Français

• Invariant estimator — In statistics, the concept of being an invariant estimator is a criterion that can be used to compare the properties of different estimators for the same quantity. It is a way of formalising the idea that an estimator should have certain… …   Wikipedia

• Invariant subspace problem — In the field of mathematics known as functional analysis, one of the most prominent open problems is the invariant subspace problem, sometimes optimistically known as the invariant subspace conjecture. It is the question whether the following… …   Wikipedia

• Invariant (computer science) — In computer science, a predicate that, if true, will remain true throughout a specific sequence of operations, is called (an) invariant to that sequence.UseAlthough computer programs are typically mainly specified in terms of what they change, it …   Wikipedia

• Invariant polynomial — In mathematics, an invariant polynomial is a polynomial P that is invariant under a group Gamma acting on a vector space V. Therefore P is a Gamma invariant polynomial if :P(gamma x) = P(x) for all gamma in Gamma and x in V.Cases of particular… …   Wikipedia

• Invariant De Runge Lenz — Vecteur de Runge Lenz Dans cet article les vecteurs et leurs normes sont indiqués respectivement en gras et italique. Par exemple : . En mécanique classique, le vecteur de Runge Lenz ou invariant de Runge Lenz est un vecteur utilisé… …   Wikipédia en Français