Examples of 'tensor product' in a sentence
Meaning of "tensor product"
tensor product - In mathematics, particularly in linear algebra and functional analysis, the tensor product is a way to combine vectors, tensors, or vector spaces to create a new mathematical object following specific rules and properties
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- The most general bilinear operation in various contexts (as with vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, modules, and so on), denoted by ⊗.
How to use "tensor product" in a sentence
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tensor product
Compute the tensor product of two modules.
This is a particular case of the tensor product.
See tensor product of algebras for more details.
This is an example of a topological tensor product.
A pure tensor is the tensor product of a collection of vectors.
Tensor product of modules over a ring.
Here the standard tensor product of representations is used.
Tensor product of two modules over a commutative ring.
The class of all objects with a tensor product.
The tensor product of two nuclear spaces is nuclear.
So that the action on the tensor product space is given by.
Tensor product of vector spaces.
One can try to be more clever in defining a tensor product.
Tensor product of line bundles.
We consider here variational problems formulated on tensor product spaces.
See also
Tensor product of abelian groups.
Indicates the tensor product.
A tensor product is highly dependent on the category on which it is built upon.
The ground state is written as a tensor product of the states of plates.
Tensor product of modules.
Super tensor product.
Tensor product of algebras.
Relative tensor product.
Its associativity follows from the associativity of the tensor product.
The term tensor product is also used in relation to monoidal categories.
The fusion product differs from the tensor product of representations.
The concept of tensor product can be extended to arbitrary modules over a ring.
I think that you misunderstood the concept of tensor product here.
As a tensor product.
Obtained by extending the identity map of the algebraic tensor product.
The most general setting for the tensor product is the monoidal category.
Consider a composite quantum system whose state space is the tensor product.
A bivector is an element of the antisymmetric tensor product of a tangent space with itself.
Taking a tensor product of any tensor with any zero tensor results in another zero tensor.
Another important outcome consists in decomposing the mixed tensor product as a bimodule.
The intuitive motivation for the tensor product relies on the concept of tensors more generally.
All higher Tor functors are assembled in the derived tensor product.
Adjoint functors make the analogy between the tensor product and the smash product more precise.
Deligne tensor product of abelian categories Iterated binary operation.
It is the union of the Cartesian product and the tensor product.
However it is actually the Kronecker tensor product of the adjacency matrices of the graphs.
The torsion functors Tor are the derived functors of the tensor product.
The tensor product operations between the tensors of second order I and A that arise in Eq.
The Hedetniemi conjecture gives a formula for the chromatic number of a tensor product.
The tensor product of a pair of vectors is a two-vector.
The Hedetniemi conjecture states a related equality for the tensor product of graphs.
Next, the tensor product of constant a matrix is obtained.
The Kronecker product of matrices corresponds to the abstract tensor product of linear maps.
The tensor product is still defined, it is the topological tensor product.
Higher Tor functors measure the defect of the tensor product being not left exact.
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We certify that the product indicated hereafter
Product serial number displayed on the product
This report is the product of a wide collaboration
Examples of using Tensor
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The metric tensor is an example of a tensor field
This is similar to the notion of tensor rank
The zero tensor has rank zero
