- tensor multiplication
- мат. тензорное умножение
Большой англо-русский и русско-английский словарь. 2001.
tensor multiplication
Смотреть что такое "tensor multiplication" в других словарях:
Tensor product of modules — In mathematics, the tensor product of modules is a construction that allows arguments about bilinear maps (roughly speaking, multiplication ) to be carried out in terms of linear maps (module homomorphisms). The module construction is analogous… … Wikipedia
Tensor algebra — In mathematics, the tensor algebra of a vector space V , denoted T ( V ) or T bull;( V ), is the algebra of tensors on V (of any rank) with multiplication being the tensor product. It is the free algebra on V , in the sense of being left adjoint… … Wikipedia
Tensor field — In mathematics, physics and engineering, a tensor field is a very general concept of variable geometric quantity. It is used in differential geometry and the theory of manifolds, in algebraic geometry, in general relativity, in the analysis of… … Wikipedia
Tensor contraction — In multilinear algebra, a tensor contraction is an operation on one or more tensors that arises from the natural pairing of a finite dimensional vector space and its dual. In components, it is expressed as a sum of products of scalar components… … Wikipedia
Tensor (intrinsic definition) — For an introduction to the nature and significance of tensors in a broad context, see Tensor. In mathematics, the modern component free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of… … Wikipedia
Matrix chain multiplication — is an optimization problem that can be solved using dynamic programming. Given a sequence of matrices, we want to find the most efficient way to multiply these matrices together. The problem is not actually to perform the multiplications, but… … Wikipedia
Angular velocity tensor — In physics, the angular velocity tensor is defined as a matrix T such that::oldsymbolomega(t) imes mathbf{r}(t) = T(t) mathbf{r}(t) It allows us to express the cross product:oldsymbolomega(t) imes mathbf{r}(t) as a matrix multiplication. It is … Wikipedia
Outer product — For outer product in geometric algebra, see exterior product. In linear algebra, the outer product typically refers to the tensor product of two vectors. The result of applying the outer product to a pair of vectors is a matrix. The name… … Wikipedia
Penrose graphical notation — In mathematics and physics, Penrose graphical notation or tensor diagram notation is a (usually handwritten) visual depiction of multilinear functions or tensors proposed by Roger Penrose[1]. A diagram in the notation consists of several shapes… … Wikipedia
Manifest covariance — In general relativity, an equation is said to be manifestly covariant if all expressions in the equation are tensors. The operations of addition, tensor multiplication, tensor contraction, raising and lowering indices, and covariant… … Wikipedia
Classical Hamiltonian quaternions — For the history of quaternions see:history of quaternions For a more general treatment of quaternions see:quaternions William Rowan Hamilton invented quaternions, a mathematical entity in 1843. This article describes Hamilton s original treatment … Wikipedia
