invariant-group

invariant-group
мат.
инвариантно-групповой

English-Russian scientific dictionary. 2008.

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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 differential operators — appear often in mathematics and theoretical physics. There is no universal definition for them and the meaning of invariance may depend on the context. Usually, an invariant differential operator D is a map from some mathematical objects… …   Wikipedia

  • Invariant — may have several meanings, among which are:* Invariant (computer science), an expression whose value doesn t change during program execution * In computer science, a type in overriding that is neither covariant nor contravariant * Invariant… …   Wikipedia

  • Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… …   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 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

  • Group action — This article is about the mathematical concept. For the sociology term, see group action (sociology). Given an equilateral triangle, the counterclockwise rotation by 120° around the center of the triangle acts on the set of vertices of the… …   Wikipedia

  • Invariant subspace — In mathematics, an invariant subspace of a linear mapping : T : V rarr; V from some vector space V to itself is a subspace W of V such that T ( W ) is contained in W . An invariant subspace of T is also said to be T invariant.If W is T invariant …   Wikipedia

  • Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …   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

  • 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


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