- zero tensor
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a) A tensor with all entries equal to zero; where any pattern of covariant and contravariant indices have all components equal to 0.b) A generalization of the zero vector to tensor space.
Wikipedia foundation.
Wikipedia foundation.
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 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
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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
List of zero terms — The number 0 is an important concept in mathematics.Zero moduleIn mathematics, the zero module is the module consisting of only the additive identity for the module s addition function. In the integers, this identity is zero, which gives the name … Wikipedia
Stress-energy tensor — The stress energy tensor (sometimes stress energy momentum tensor) is a tensor quantity in physics that describes the density and flux of energy and momentum in spacetime, generalizing the stress tensor of Newtonian physics. It is an attribute of … 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 — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… … Wikipedia