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multilinear function

См. также в других словарях:

  • Multilinear map — In 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 where and are vector spaces (or modules), with the following property: for each ,… …   Wikipedia

  • multilinear form — /mul ti lin ee euhr, mul ti /, Math. a function or functional of several variables such that when all variables but one are held fixed, the function is linear in the remaining variable. [MULTI + LINEAR] * * * …   Universalium

  • multilinear form — /mul ti lin ee euhr, mul ti /, Math. a function or functional of several variables such that when all variables but one are held fixed, the function is linear in the remaining variable. [MULTI + LINEAR] …   Useful english dictionary

  • Homogeneous function — In mathematics, a homogeneous function is a function with multiplicative scaling behaviour: if the argument is multiplied by a factor, then the result is multiplied by some power of this factor.Formal definitionSuppose that f: V arr W qquadqquad… …   Wikipedia

  • Partial function — Not to be confused with partial function of a multilinear map. An example of a partial function that is not a total function …   Wikipedia

  • Tensor product — In mathematics, the tensor product, denoted by otimes, may be applied in different contexts to vectors, matrices, tensors, vector spaces, algebras, topological vector spaces, and modules. In each case the significance of the symbol is the same:… …   Wikipedia

  • Exterior algebra — In mathematics, the exterior product or wedge product of vectors is an algebraic construction generalizing certain features of the cross product to higher dimensions. Like the cross product, and the scalar triple product, the exterior product of… …   Wikipedia

  • Trace diagram — In mathematics, trace diagrams are a graphical means of performing computations in linear and multilinear algebra. They can be represented as graphs with edges labeled by matrices. Without the matrix labels, they are equivalent to Penrose s… …   Wikipedia

  • Determinant — This article is about determinants in mathematics. For determinants in epidemiology, see Risk factor. In linear algebra, the determinant is a value associated with a square matrix. It can be computed from the entries of the matrix by a specific… …   Wikipedia

  • Tensor (intrinsic definition) — For an introduction to the nature and significance of tensors in a broad context, see Tensor. In mathematics, the modern component free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of… …   Wikipedia

  • Penrose graphical notation — In mathematics and physics, Penrose graphical notation or tensor diagram notation is a (usually handwritten) visual depiction of multilinear functions or tensors proposed by Roger Penrose[1]. A diagram in the notation consists of several shapes… …   Wikipedia

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