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

complex Multilinear algebra Symmetric algebra, the symmetric analog Tensor algebra Weyl algebra, a quantum deformation of the symmetric algebra by a symplectic...

the Cauchy–Binet formula. A more systematic, algebraic treatment of minors is given in multilinear algebra, using the wedge product: the k-minors of a...

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 k...

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

Clifford algebras and spinors. Cambridge: Cambridge University Press. pp. 193. ISBN 978-0-521-00551-7. Greub, W. (1978). Multilinear Algebra. Hogben,...

theory, denotes the meet or greatest lower bound operation. 3.  In multilinear algebra, geometry, and multivariable calculus, denotes the wedge product...

space to the underlying field Multilinear map, a type of mathematical function between vector spaces Multilinear algebra, a field of mathematics This disambiguation...

over a field. For more details, see Linear equation over a ring. In multilinear algebra, one considers multivariable linear transformations, that is, mappings...

In mathematics, more specifically in multilinear algebra, an alternating multilinear map is a multilinear map with all arguments belonging to the same...

groups to trace diagrams in linear algebra. In the language of multilinear algebra, each shape represents a multilinear function. The lines attached to shapes...

for manipulations of tensors arise as an extension of linear algebra to multilinear algebra. In differential geometry, an intrinsic[definition needed] geometric...

structure Multilinear algebra Tensor Classical treatment of tensors Component-free treatment of tensors Gamas's Theorem Outer product Tensor algebra Exterior...

Matrices, versors (quaternions), and other algebraic things: see the section Linear and Multilinear Algebra Formalism for details. A general rotation in...

Braided vector space Braided Hopf algebra Monoidal category Multilinear algebra Fock space Bourbaki, Nicolas (1989). Algebra I. Chapters 1-3. Elements of Mathematics...

In physics, especially in multilinear algebra and tensor analysis, covariance and contravariance describe how the quantitative description of certain...

mathematics, the symmetric algebra S(V) (also denoted Sym(V)) on a vector space V over a field K is a commutative algebra over K that contains V, and...

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

In multilinear algebra, a tensor contraction is an operation on a tensor that arises from the canonical pairing of a vector space and its dual. In components...

Curvilinear coordinates Tensors in curvilinear coordinates Multilinear subspace learning Multilinear algebra Differential geometry Ricci, Gregorio; Levi-Civita...

techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry...

Heyting algebra Hopf algebra Non-associative algebra Outline of algebra Relational algebra Sigma-algebra Symmetric algebra T-algebra Tensor algebra When...

9M); 32x22x10(3.2M); CP decomposition Dimension reduction Multilinear algebra Multilinear Principal Component Analysis Tensor Tensor decomposition Tensor...

In multilinear algebra, applying a map that is the tensor product of linear maps to a tensor is called a multilinear multiplication. Let F {\displaystyle...

weight w. Invariantly, in the language of multilinear algebra, one can think of tensor densities as multilinear maps taking their values in a density bundle...

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

Basis of a linear program Change of basis – Coordinate change in linear algebra Frame of a vector space – Similar to the basis of a vector space, but not...

vector algebra Extension of scalars Monoidal category – Category admitting tensor products Tensor algebra – Universal construction in multilinear algebra Tensor...

In multilinear algebra, a multivector, sometimes called Clifford number or multor, is an element of the exterior algebra Λ(V) of a vector space V. This...

American mathematician, known as a leading expert on linear and multilinear algebra. From 1944 to 1946, Marvin Marcus served in the United States Navy...