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- Tensor_contraction abstract "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 of the tensor(s) caused by applying the summation convention to a pair of dummy indices which are bound to each other in an expression. The contraction of a single mixed tensor occurs when a pair of literal indices (one a subscript, the other a superscript) of the tensor are set equal to each other and summed over. In the Einstein notation this summation is built into the notation. The result is another tensor with order reduced by 2.Tensor contraction can be seen as a generalization of the trace.".
- Tensor_contraction wikiPageID "202722".
- Tensor_contraction wikiPageRevisionID "599227983".
- Tensor_contraction hasPhotoCollection Tensor_contraction.
- Tensor_contraction subject Category:Tensors.
- Tensor_contraction type Abstraction100002137.
- Tensor_contraction type Cognition100023271.
- Tensor_contraction type Concept105835747.
- Tensor_contraction type Content105809192.
- Tensor_contraction type Idea105833840.
- Tensor_contraction type PsychologicalFeature100023100.
- Tensor_contraction type Quantity105855125.
- Tensor_contraction type Tensor105864481.
- Tensor_contraction type Tensors.
- Tensor_contraction type Variable105857459.
- Tensor_contraction comment "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 of the tensor(s) caused by applying the summation convention to a pair of dummy indices which are bound to each other in an expression.".
- Tensor_contraction label "Contraction tensorielle".
- Tensor_contraction label "Contrazione di un tensore".
- Tensor_contraction label "Tensor contraction".
- Tensor_contraction label "Tensorverjüngung".
- Tensor_contraction label "Свёртка тензора".
- Tensor_contraction sameAs Tensorverjüngung.
- Tensor_contraction sameAs Contraction_tensorielle.
- Tensor_contraction sameAs Contrazione_di_un_tensore.
- Tensor_contraction sameAs m.01ct3d.
- Tensor_contraction sameAs Q428091.
- Tensor_contraction sameAs Q428091.
- Tensor_contraction sameAs Tensor_contraction.
- Tensor_contraction wasDerivedFrom Tensor_contraction?oldid=599227983.
- Tensor_contraction isPrimaryTopicOf Tensor_contraction.