affine combination

мат.
аффинная комбинация

English-Russian scientific dictionary. 2008.

Смотреть что такое "affine combination" в других словарях:

  • Affine combination — In mathematics, an affine combination of vectors x 1, ..., x n is vector : sum {i=1}^{n}{alpha {i} cdot x {i = alpha {1} x {1} + alpha {2} x {2} + cdots +alpha {n} x {n}, called the linear combination of x 1, ..., x n , in which the sum of the… …   Wikipedia

  • Affine — may refer to:*Affine cipher, a special case of the more general substitution cipher *Affine combination, a certain kind of constrained linear combination *Affine connection, a connection on the tangent bundle of a differentiable manifold *Affine… …   Wikipedia

  • Affine arithmetic — (AA) is a model for self validated numerical analysis. In AA, the quantities of interest are represented as affine combinations (affine forms) of certain primitive variables, which stand for sources of uncertainty in the data or approximations… …   Wikipedia

  • Affine transformation — In geometry, an affine transformation or affine map or an affinity (from the Latin, affinis , connected with ) between two vector spaces (strictly speaking, two affine spaces) consists of a linear transformation followed by a translation::x… …   Wikipedia

  • Affine space — In mathematics, an affine space is an abstract structure that generalises the affine geometric properties of Euclidean space. In an affine space, one can subtract points to get vectors, or add a vector to a point to get another point, but one… …   Wikipedia

  • Affine hull — In mathematics, the affine hull of a set S in Euclidean space R n is the smallest affine set containing S , or equivalently, the intersection of all affine sets containing S . Here, an affine set may be defined as the translation of a vector… …   Wikipedia

  • Affine geometry of curves — In the mathematical field of differential geometry, the affine geometry of curves is the study of curves in an affine space, and specifically the properties of such curves which are invariant under the special affine group In the classical… …   Wikipedia

  • affine transformation — noun (mathematics) a transformation that is a combination of single transformations such as translation or rotation or reflection on an axis • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑transformation …   Useful english dictionary

  • Convex combination — Given three points x1,x2,x3 in a plane as shown in the figure, the point P is a convex combination of the three points, while Q is not. (Q is however an affine combination of the three poin …   Wikipedia

  • Conical combination — Given a finite number of vectors in a real vector space, a conical combination or a conical sum [1] [2] of these vectors is a vector of the form where the real numbers satisfy …   Wikipedia

  • Linear combination — In mathematics, linear combinations are a concept central to linear algebra and related fields of mathematics.Most of this article deals with linear combinations in the context of a vector space over a field, with some generalisations given at… …   Wikipedia

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