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In abstract algebra and multilinear algebra, a multilinear form on a vector space V {\displaystyle V} over a field K {\displaystyle K} is a map f : V...

Multilinear algebra is the study of functions with multiple vector-valued arguments, with the functions being linear maps with respect to each argument...

linear algebra, a multilinear map is a function of several variables that is linear separately in each variable. More precisely, a multilinear map is a function...

Look up multilinear in Wiktionary, the free dictionary. Multilinear may refer to: Multilinear form, a type of mathematical function from a vector space...

arguments belonging to the same vector space (for example, a bilinear form or a multilinear form) that is zero whenever any pair of its arguments is equal. This...

they are seen as multilinear maps (see also tensors as multilinear maps). Thus the components of the tensor product of multilinear forms can be computed...

(v_{s})),} which is a multilinear form on V. Hence Φ∗ is a (linear) operator from multilinear forms on W to multilinear forms on V. As a special case...

differential forms Complex differential form Vector-valued differential form Equivariant differential form Calculus on Manifolds Multilinear form Polynomial...

occurring in any monomial. Multilinear polynomials can be understood as a multilinear map (specifically, a multilinear form) applied to the vectors [1...

space Linear form Multilinear form Polar space Quadratic form Sesquilinear form System of bilinear equations "Chapter 3. Bilinear forms — Lecture notes...

C^{\infty }(M)} -module of C ∞ ( M ) {\displaystyle C^{\infty }(M)} -multilinear forms Ω 1 ( M ) × … × Ω 1 ( M ) ⏟ l   t i m e s × X ( M ) × … × X ( M )...

partial orderPages displaying wikidata descriptions as a fallback Multilinear form – Map from multiple vectors to an underlying field of scalars, linear...

functional equation and growth condition Multilinear form, which generalises bilinear forms to mappings VN → F Quadratic form, a homogeneous polynomial of degree...

In mathematics, a tensor is an algebraic object that describes a multilinear relationship between sets of algebraic objects related to a vector space...

multilinear function f : V k → K {\displaystyle f:V^{k}\to K} is called an alternating multilinear form. The set of all alternating multilinear forms...

polynomial Diagonal form Graded algebra Hilbert series and Hilbert polynomial Multilinear form Multilinear map Polarization of an algebraic form Schur polynomial...

that one can multiply pointwise a k-multilinear form and an l-multilinear form to get a (k + l)-multilinear form. The ring structure in cohomology provides...

a homogeneous polynomial, polarization produces a unique symmetric multilinear form from which the original polynomial can be recovered by evaluating along...

non-commutative rings, there is no reasonable notion of a multilinear form (existence of a nonzero bilinear form[clarify] with a regular element of R as value on...

In differential geometry, a one-form (or covector field) on a differentiable manifold is a differential form of degree one, that is, a smooth section of...