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 algebra.

Source: Wikipedia — Tensor (intrinsic definition) (CC BY-SA 4.0)

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 algebra.

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Source: Wikipedia "Tensor (intrinsic definition)" · CC BY-SA 4.0

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