- tensor of order one
- тензор первого ранга, вектор
English-Russian scientific dictionary. 2008.
tensor of order one
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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 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 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 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
One-form — In linear algebra, a one form on a vector space is the same as a linear functional on the space. The usage of one form in this context usually distinguishes the one forms from higher degree multilinear functionals on the space. For details, see… … Wikipedia
Structure tensor — Structure tensors (or second moment matrices) are matrix representations of partial derivatives. In the field of image processing and computer vision, they are typically used to represent gradients, edges or similar information. Structure tensors … Wikipedia
Metric tensor (general relativity) — This article is about metrics in general relativity. For a discussion of metrics in general, see metric tensor. Metric tensor of spacetime in general relativity written as a matrix. In general relativity, the metric tensor (or simply, the metric) … 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
Dyadic tensor — In multilinear algebra, a dyadic is a second rank tensor written in a special notation, formed by juxtaposing pairs of vectors, along with a notation for manipulating such expressions analogous to the rules for matrix algebra. Each component of a … Wikipedia
Topological order — In physics, topological order is a new kind of order (a newkind of organization of particles) in a quantum state that is beyond theLandau symmetry breaking description. It cannot be described by local order parameters and long rangecorrelations.… … Wikipedia
