Results for multilinear translation from Spanish to English

mathematically, tensors are generalised linear operators - multilinear maps.
mathematically, tensors are generalised linear operators - multilinear maps.

the set of all such multilinear maps forms a vector space, called the tensor product space of type formula_3 at formula_1 and denoted by formula_8.
the set of all such multilinear maps forms a vector space, called the tensor product space of type formula_3 at formula_1 and denoted by formula_8.

at formula_1, these two vector spaces may be used to construct type formula_3 tensors, which are real-valued multilinear maps acting on the direct sum of formula_4 copies of the cotangent space with formula_5 copies of the tangent space.
at formula_1, these two vector spaces may be used to construct type formula_3 tensors, which are real-valued multilinear maps acting on the direct sum of formula_4 copies of the cotangent space with formula_5 copies of the tangent space.