- affine product
- мат.аффинное произведение
English-Russian scientific dictionary. 2008.
affine product
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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 geometry — is a form of geometry featuring the unique parallel line property (see the parallel postulate) but where the notion of angle is undefined and lengths cannot be compared in different directions (that is, Euclid s third and fourth postulates are… … Wikipedia
Affine differential geometry — Affine differential geometry, as its name suggests, is a type of differential geometry. The basic difference between affine and Riemannian differential geometry is that in the affine case we introduce volume forms over a manifold instead of… … Wikipedia
Affine connection — An affine connection on the sphere rolls the affine tangent plane from one point to another. As it does so, the point of contact traces out a curve in the plane: the development. In the branch of mathematics called differential geometry, an… … Wikipedia
Affine group — In mathematics, the affine group or general affine group of any affine space over a field K is the group of all invertible affine transformations from the space into itself.It is a Lie group if K is the real or complex field or… … 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 Grassmannian (manifold) — In mathematics, there are two distinct meanings of the term affine Grassmannian . In one it is the manifold of all k dimensional affine subspaces of R n (described on this page), while in the other the Affine Grassmannian is a quotient of a group … Wikipedia
Harris affine region detector — In the fields of computer vision and image analysis, the Harris affine region detector belongs to the category of feature detection. Feature detection is a preprocessing step of several algorithms that rely on identifying characteristic points or … Wikipedia
Inner product space — In mathematics, an inner product space is a vector space with the additional structure of inner product. This additional structure associates each pair of vectors in the space with a scalar quantity known as the inner product of the vectors.… … Wikipedia
Tensor product of algebras — In mathematics, the tensor product of two R algebras is also an R algebra in a natural way. This gives us a tensor product of algebras. The special case R = Z gives us a tensor product of rings, since rings may be regarded as Z algebras.Let R be… … Wikipedia
Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… … Wikipedia
