Encyclopedia results for Tensor product

1. Tensor product
   In mathematics , the tensor product , denoted by math otimes math , may be applied in different contexts ..., this product is also referred to as outer product . The term tensor product is also used in relation ..
   
   
   
2. Tensor product of algebras
   In mathematics , the tensor product of two algebra ring theory R algebras is also an R algebra in a natural way. This gives us a tensor product of algebras . The special case R Z gives us a tensor product ..
   
   
   
3. Tensor product of graphs
   Image Graph tensor product.svg thumb 360px The tensor product of graphs. In graph theory , the tensor ... and u is adjacent with v . The tensor product is also called the direct product , categorical product ..
   
   
   
4. Tensor product network
   A tensor product network , in neural network s, is a network that exploits the properties of tensor s to model ... the ideas such as variable names and target assignments , and the tensor product of these vectors ..
   
   
   
5. Tensor product of quadratic forms
   Unreferenced date February 2008 The tensor product of quadratic form s is most easily understood when ... V,W vector spaces, then the tensor product is a quadratic form q on the Tensor product tensor ..
   
   
   
6. Topological tensor product
   In mathematics , there are usually many different ways to construct a topological tensor product of two ... January 2008 Tensor products of Hilbert spaces The algebraic tensor product of two Hilbert spaces ..
   
   
   
7. Tensor product of modules
   In mathematics , the tensor product of modules is a construction that allows arguments about bilinear ... s . The module construction is analogous to the construction of the tensor product of vector space ..
   
   
   
8. Tensor product of fields
   s of a smaller field N for example a prime field . The tensor product of fields is the best available ... M . Correspondingly their tensor product will in that case be the zero ring collapse of the construction ..
   
   
   
9. Relative tensor product
   Let math A math be a right R module mathematics module and math B math be a left R module mathematics module see the definition of left and right module in module mathematics . The relative tensor pro ...
   
   
   
10. Tensor
    bridges the two. A tensor is an object which extends the notion of Scalar mathematics scalar , Vector ... , a tensor is a multilinear function. In physics and engineering , the same term usually means what ..
    
    
    
11. Product
    wiktionarypar product Product may mean Product biology , something manufactured by an organelle Product business , an item that ideally satisfies a market s want or need Product chemistry , a substance ..
    
    
    
12. By-product
    A by product is a secondary or incidental product deriving from a manufacturing process, a chemical reaction or a biochemical pathway, and is not the primary product or service being produced. A by product ..
    
    
    
13. Schouten tensor
    the Riemann curvature tensor minus the Kulkarni&ndash Nomizu product of the Schouten tensor with the metric ...In mathematics , more specifically Riemannian geometry , the Schouten tensor is for n 3 dimensions, math ..
    
    
    
14. Weyl tensor
    In differential geometry , the Weyl curvature tensor , named after Hermann Weyl , is the traceless component of the Curvature tensor Riemann curvature tensor . In other words, it is a tensor that has the same ..
    
    
    
15. Dyadic tensor
    on V is an elementary tensor in the tensor product of V with its dual space. The tensor product ... product to identify the dual space with V itself, making a dyadic tensor an elementary tensor ..
    
    
    
16. Electromagnetic tensor
    right mathrm invariant math The product of the tensor math F mu nu , math with its dual tensor gives ...Electromagnetism cTopic Theory of relativity Covariant formulation The electromagnetic tensor or electromagnetic ..
    
    
    
17. Tensor algebra
    over a field algebra of tensor s on V of any rank with multiplication being the tensor product ... sup th sup tensor power of V to be the tensor product of V with itself k times math T kV V otimes ..
    
    
    
18. Metric tensor
    Definition In mathematics , a Covariance and contravariance of vectors covariant metric tensor g is a nonsingular symmetric tensor field of Tensor Tensor rank rank 2 that is used to measure distance in a space ..
    
    
    
19. Nonmetricity tensor
    In mathematics , the nonmetricity tensor in differential geometry is the covariant derivative of the metric tensor . It is therefore a tensor field of rank of a tensor rank three. It vanishes for the case ..
    
    
    
20. Stress tensor
    For the stress tensor in classical physics , see the article stress physics . For the stress tensor in theory of relativity relativistic theories, see stress energy tensor . For the stress tensor in electromagnetism ..
    
    
    
21. Tensor bundle
    In mathematics , the tensor bundle of a manifold is the direct sum of all tensor products of the tangent bundle and the cotangent bundle of that manifold. To do calculus on the tensor bundle a connection ..
    
    
    
22. Topogravitic tensor
    In general relativity , the topogravitic tensor is one of the three pieces of the Bel decomposition of the Riemann tensor . The topogravitic tensor can be interpreted as representing the sectional curvatures ..
    
    
    
23. Mixed tensor
    In tensor analysis , a mixed tensor is a tensor which is neither covariant nor contravariant . At least one of the indices of a mixed tensor will be a subscript covariant and at least one of the indices ..
    
    
    
24. 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 math ..
    
    
    
25. Contorsion tensor
    The contorsion tensor in differential geometry expresses the effect of the torsion tensor on the Christoffel symbol and the spin connection . The contorsion tensor math K c ab math is defined in terms ..