Category:Tensors
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This category contains results about Tensors.
Definitions specific to this category can be found in Definitions/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$
Subcategories
This category has the following 2 subcategories, out of 2 total.
C
- Cartesian Tensors (empty)
I
- Invariances (Tensor Theory) (empty)