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algebraic invariant

См. также в других словарях:

  • 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

  • Algebraic graph theory — is a branch of mathematics in which algebraic methods are applied to problems about graphs. In one sense, algebraic graph theory studies graphs in connection with linear algebra. Especially, it studies the spectrum of the adjacency matrix, the… …   Wikipedia

  • Algebraic curve — In algebraic geometry, an algebraic curve is an algebraic variety of dimension one. The theory of these curves in general was quite fully developed in the nineteenth century, after many particular examples had been considered, starting with… …   Wikipedia

  • Algebraic torus — In mathematics, an algebraic torus is a type of commutative affine algebraic group. These groups were named by analogy with the theory of tori in Lie group theory (see maximal torus). The theory of tori is in some sense opposite to that of… …   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

  • Algebraic Riccati equation — The algebraic Riccati equation is either of the following matrix equations:the continuous time algebraic Riccati equation (CARE):: A^T X + X A X B B^T X + Q = 0 , or the discrete time algebraic Riccati equation (DARE):: X = A^T X A (A^T X B)(R +… …   Wikipedia

  • Algebraic number field — In mathematics, an algebraic number field (or simply number field) F is a finite (and hence algebraic) field extension of the field of rational numbers Q. Thus F is a field that contains Q and has finite dimension when considered as a vector… …   Wikipedia

  • Algebraic K-theory — In mathematics, algebraic K theory is an important part of homological algebra concerned with defining and applying a sequence Kn(R) of functors from rings to abelian groups, for all integers n. For historical reasons, the lower K groups K0 and… …   Wikipedia

  • Algebraic surface — In mathematics, an algebraic surface is an algebraic variety of dimension two. In the case of geometry over the field of complex numbers, an algebraic surface is therefore of complex dimension two (as a complex manifold, when it is non singular)… …   Wikipedia

  • Algebraic differential equation — Note: Differential algebraic equation is something different. In mathematics, an algebraic differential equation is a differential equation that can be expressed by means of differential algebra. There are several such notions, according to the… …   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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