geometric invariant

geometric invariant
геометрический инвариант

The New English-Russian Dictionary of Radio-electronics. . 2005.

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  • 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 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

  • Geometric group theory — is an area in mathematics devoted to the study of finitely generated groups via exploring the connections between algebraic properties of such groups and topological and geometric properties of spaces on which these groups act (that is, when 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

  • Geometric genus — In algebraic geometry, the geometric genus is a basic birational invariant p g of algebraic varieties, defined for non singular complex projective varieties (and more generally for complex manifolds) as the Hodge number h n ,0 (equal to h 0, n by …   Wikipedia

  • Geometric median — The geometric median of a discrete set of sample points in a Euclidean space is the point minimizing the sum of distances to the sample points. This generalizes the median, which has the property of minimizing the sum of distances for one… …   Wikipedia

  • Geometric hashing — In computer science, geometric hashing is a method for efficiently finding two dimensional objects represented by discrete points that have undergone an affine transformation. (Extensions exist to some other object representations and… …   Wikipedia

  • Differential invariant — In mathematics, a differential invariant is an invariant for the action of a Lie group on a space that involves the derivatives of graphs of functions in the space. Differential invariants are fundamental in projective differential geometry, and… …   Wikipedia

  • Scale-invariant feature transform — Feature detection Output of a typical corner detection algorithm …   Wikipedia

  • Hopf invariant — In mathematics, in particular in algebraic topology, the Hopf invariant is a homotopy invariant of certain maps between spheres. toc Motivation In 1931 Heinz Hopf used Clifford parallels to construct the Hopf map etacolon S^3 o S^2, and proved… …   Wikipedia

  • De Rham invariant — In geometric topology, the de Rham invariant is a mod 2 invariant of a (4k+1) dimensional manifold, that is, an element of – either 0 or 1. It can be thought of as the simply connected symmetric L group L4k + 1, and thus analogous to the other… …   Wikipedia


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