tensor field
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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 field — tenzorinis laukas statusas T sritis fizika atitikmenys: angl. tensor field; tensorial field vok. Tensorfeld, n rus. тензорное поле, n pranc. champ de tenseur, m; champ tenseur, m … Fizikos terminų žodynas
Field — or fields may refer to: * Field (agriculture), an area of land used to cultivate crops for agricultural purposes * Field of study, a branch of knowledge * Playing field, in sports, the area in which the sport is played * Visual field or field of… … Wikipedia
Tensor-vector-scalar gravity — (TeVeS) is a proposed relativistic theory which purports to explain galactic rotation curves without invoking dark matter. Originated by Jacob Bekenstein in 2004, it incorporates various dynamical and non dynamical tensor fields, vector fields… … Wikipedia
Tensor — For other uses, see Tensor (disambiguation). Note that in common usage, the term tensor is also used to refer to a tensor field. Stress, a second order tensor. The tensor s components, in a three dimensional Cartesian coordinate system, form the… … 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
Field (physics) — The magnitude of an electric field surrounding two equally charged (repelling) particles. Brighter areas have a greater magnitude. The direction of the field is not visible … 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
Tensor product of fields — In abstract algebra, the theory of fields lacks a direct product: the direct product of two fields, considered as a ring is never itself a field. On the other hand it is often required to join two fields K and L, either in cases where K and L are … Wikipedia
Tensor product — In mathematics, the tensor product, denoted by otimes, may be applied in different contexts to vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, and modules. In each case the significance of the symbol is the same:… … 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
