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Tensor (intrinsic definition)

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 multilinear concept. Their properties can be derived from their definitions, as linear maps or more generally, and the rules for manipulations of tensors arise as an extension of linear algebra to multilinear…

Products, Tensor rank & Definition via tensor products of vector spaces

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Definition via tensor products of vector spaces

Tensor rank

Universal property

Tensor fields

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Tensor (intrinsic definition)

Nodes52
Edges51
Triples2
Avg. degree1.96
Density0.038462
Components1

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Important terminology

tensor rank displaystyle tensors order field space multilinear isbn linear vector product otimes spaces matrix form cdots sum type approach

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
the efficient multiplication of matricesinstance ofComputational tasks0.80text
the efficient evaluation of polynomials can be recast as the problem of simultaneously evaluating a set of bilinear forms z kinstance ofComputational tasks0.80text

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