Category:Definitions/Tensors

This category contains definitions related to Tensors.
Related results can be found in Category:Tensors.

Let $V$ and $V^*$ be a vector space and its dual.

Then a (mixed) tensor $F$ of type $\tuple {k, l}$ is a multilinear map such that:

$\ds F : \underbrace {V \times \ldots \times V}_{\text {$k$ times}} \times \underbrace { {V^*} \times \ldots \times {V^*} }_{\text {$l$ times}} \to \R$