Kronecker product
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Kronecker product — In mathematics, the Kronecker product, denoted by otimes, is an operation on two matrices of arbitrary size resulting in a block matrix. It is a special case of a tensor product. The Kronecker product should not be confused with the usual matrix… … Wikipedia
Kronecker-Produkt — Das Kronecker Produkt (nach Leopold Kronecker) ist ein Begriff aus der Matrizenrechnung. Inhaltsverzeichnis 1 Definition 2 1. Beispiel 3 2. Beispiel 4 Eigenschaften … Deutsch Wikipedia
Product (mathematics) — In mathematics, a product is the result of multiplying, or an expression that identifies factors to be multiplied. The order in which real or complex numbers are multiplied has no bearing on the product; this is known as the commutative law of… … Wikipedia
Kronecker delta — In mathematics, the Kronecker delta or Kronecker s delta, named after Leopold Kronecker (1823 1891), is a function of two variables, usually integers, which is 1 if they are equal, and 0 otherwise. So, for example, delta {12} = 0, but delta {33} … Wikipedia
Kronecker's sigma function — Let D be the domain of the Cartesian product X times X, for a set X, then the Kronecker s sigma function with respect to X is a function from D to the set {0,1} such that it is equal to the characteristic function on D.ee also*Sigma 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
Leopold Kronecker — Infobox Scientist name = Leopold Kronecker caption = Leopold Kronecker birth date = birth date|1823|12|7|mf=y birth place = Liegnitz, Prussian province of Silesia residence = Prussian nationality = Prussian death date = death date and… … Wikipedia
Tensor product of graphs — In graph theory, the tensor product G × H of graphs G and H is a graph such that * the vertex set of G × H is the Cartesian product V(G) × V(H) ; and * any two vertices (u,u ) and (v,v ) are adjacent in G × H if and only if u is adjacent with v… … Wikipedia
Dyadic product — In mathematics, in particular multilinear algebra, the dyadic product of two vectors, and , each having the same dimension, is the tensor product of the vectors and results in a tensor of order two and rank one. It is also called outer product.… … Wikipedia
Outer product — For outer product in geometric algebra, see exterior product. In linear algebra, the outer product typically refers to the tensor product of two vectors. The result of applying the outer product to a pair of vectors is a matrix. The name… … Wikipedia
