tensor transformation

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• 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 — [ten′sər, ten′sôr΄] n. [ModL < L tensus: see TENSE1] 1. any muscle that stretches, or tenses, some part of the body 2. Math. an abstract object representing a generalization of the vector concept and having a specified system of components… …   English World dictionary

• Tensor density — A tensor density transforms as a tensor, except that it is additionally multiplied or weighted by a power of the Jacobian determinant.For example, a rank 3 tensor density of weight W transforms as::A {ijk}^prime =egin{vmatrix} alpha… …   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

• Transformation optics — Electromagnetism Electricity · …   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 analysis — the branch of mathematics dealing with the calculus of tensors, esp. the study of properties that are unaffected by a change of coordinate system. * * * Branch of mathematics concerned with relations or laws that remain valid regardless of the… …   Universalium

• tensor — tensorial /ten sawr ee euhl, sohr /, adj. /ten seuhr, sawr/, n. 1. Anat. a muscle that stretches or tightens some part of the body. 2. Math. a mathematical entity with components that change in a particular way in a transformation from one… …   Universalium

• tensor — ten•sor [[t]ˈtɛn sər, sɔr[/t]] n. 1) anat. a muscle that stretches or tightens some part of the body 2) math. a mathematical entity with components that change in a particular way in a transformation from one coordinate system to another •… …   From formal English to slang

• Two-point tensor — Double vector redirects here. For dual vectors, see dual space. For bivectors, see bivector. Two point tensors, or double vectors, are tensor like quantities which transform as vectors with respect to each of their indices and are used in… …   Wikipedia