- multilinear determinant
- мат. полилинейный определитель
Большой англо-русский и русско-английский словарь. 2001.
multilinear determinant
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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
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 algebra — In mathematics, multilinear algebra extends the methods of linear algebra. Just as linear algebra is built on the concept of a vector and develops the theory of vector spaces, multilinear algebra builds on the concepts of p vectors and… … Wikipedia
Multilinear form — In multilinear algebra, a multilinear form is a map of the type where V is a vector space over the field K, that is separately linear in each its n variables.[1] For n = 2, i.e. only two variables, one calls ƒ a bilinear form. An important type… … Wikipedia
determinant — /di terr meuh neuhnt/, n. 1. a determining agent or factor. 2. Math. an algebraic expression of the sum of products of elements, each with an appropriate algebraic sign, usually written in a square array and used in the solution of systems of… … Universalium
determinant — noun a) A determining factor; an element that determines the nature of something b) The unique scalar function over square matrices which is distributive over matrix multiplication, multilinear in the rows and columns, and takes the value of 1… … Wiktionary
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
Tensor — For other uses, see Tensor (disambiguation). Note that in common usage, the term tensor is also used to refer to a tensor field. Stress, a second order tensor. The tensor s components, in a three dimensional Cartesian coordinate system, form the… … Wikipedia
Cross product — This article is about the cross product of two vectors in three dimensional Euclidean space. For other uses, see Cross product (disambiguation). In mathematics, the cross product, vector product, or Gibbs vector product is a binary operation on… … Wikipedia
Hyperdeterminant — In algebra, the hyperdeterminant is a generalisation of the determinant. Whereas a determinant is a scalar valued function defined on an n x n square matrix, a hyperdeterminant is defined on a multidimensional array of numbers or hypermatrix.… … Wikipedia
Minor (linear algebra) — This article is about a concept in linear algebra. For the unrelated concept of minor in graph theory, see Minor (graph theory). In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix, cut down from A by… … Wikipedia
