tensor algebra
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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 algebra — tenzorinė algebra statusas T sritis fizika atitikmenys: angl. tensor algebra vok. Tensoralgebra, f; tensorielle Algebra, f rus. тензорная алгебра, f pranc. algèbre tensorielle, f … Fizikos terminų žodynas
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
Algebra (ring theory) — In mathematics, specifically in ring theory, an algebra over a commutative ring is a generalization of the concept of an algebra over a field, where the base field K is replaced by a commutative ring R .Any ring can be thought of as an algebra… … 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 — 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 de curvatura — En geometría diferencial, el tensor de curvatura de Riemann , o simplemente tensor de curvatura o tensor de Riemann, supone una generalización del concepto de curvatura de Gauss, definido para superficies, a variedades de dimensiones arbitrarias … Wikipedia Español
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 — Levi Civita Symbol im Dreidimensionalen als Beispiel eines besonders einfachen dreistufigen Tensors Der Tensor ist ein mathematisches Objekt aus der Algebra und Differentialgeometrie. Der Begriff wurde ursprünglich in der Physik eingeführt und… … Deutsch Wikipedia
Tensor-Diagramm-Notation — Die penrosesche graphische Notation – auch als penrosesche diagrammatische Notation, Tensor Diagramm Notation oder auch einfach Penrose Notation bezeichnet – ist eine von Roger Penrose vorgeschlagene Notation in der Physik und Mathematik, um eine … Deutsch Wikipedia
Álgebra multilineal — En la matemática, el álgebra multilineal es una área de estudio que generaliza los métodos del álgebra lineal. Los objetos de estudio son los productos tensoriales de espacios vectoriales y las transformaciones multi lineales entre los espacios.… … Wikipedia Español
