zero tensor

zero tensor
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.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • 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

  • 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 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 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

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”