order of tensor
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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 (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 derivative (continuum mechanics) — The derivatives of scalars, vectors, and second order tensors with respect to second order tensors are of considerable use in continuum mechanics. These derivatives are used in the theories of nonlinear elasticity and plasticity, particularly in… … 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 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 — 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 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-hom adjunction — The tensor hom adjunction; in computer science the analogous concept is called currying.tatementThe functors otimes X and operatorname{Hom}(X, )form an adjoint pair::operatorname{Hom}(Y otimes X, Z) =… … Wikipedia
Order (ring theory) — In mathematics, an order in the sense of ring theory is a subring of a ring R that satisfies the conditions R is a ring which is a finite dimensional algebra over the rational number field spans R over , so that … Wikipedia
Cotton tensor — In differential geometry, the Cotton tensor on a (pseudo) Riemannian manifold of dimension n is a third order tensor concomitant of the metric, like the Weyl tensor. The concept is named after Émile Cotton. Just as the vanishing of the Weyl… … Wikipedia
Tidal tensor — In Newton s theory of gravitation and in various relativistic classical theories of gravitation, such as general relativity, the tidal tensor represents # tidal accelerations of a cloud of (electrically neutral, nonspinning) test particles, #… … Wikipedia
