euclidean norm
1Norm (mathematics) — This article is about linear algebra and analysis. For field theory, see Field norm. For ideals, see Norm of an ideal. For group theory, see Norm (group). For norms in descriptive set theory, see prewellordering. In linear algebra, functional… …
2Euclidean space — Every point in three dimensional Euclidean space is determined by three coordinates. In mathematics, Euclidean space is the Euclidean plane and three dimensional space of Euclidean geometry, as well as the generalizations of these notions to… …
3Euclidean vector — This article is about the vectors mainly used in physics and engineering to represent directed quantities. For mathematical vectors in general, see Vector (mathematics and physics). For other uses, see vector. Illustration of a vector …
4Euclidean distance — In mathematics, the Euclidean distance or Euclidean metric is the ordinary distance between two points that one would measure with a ruler, which can be proven by repeated application of the Pythagorean theorem. By using this formula as distance …
5Euclidean domain — In abstract algebra, a Euclidean domain (also called a Euclidean ring) is a type of ring in which the Euclidean algorithm applies. A Euclidean domain is a specific type of integral domain, and can be characterized by the following (not… …
6Euclidean distance matrix — In mathematics, a Euclidean distance matrix is an n×n matrix representing the spacing of a set of n points in Euclidean space. If A is a Euclidean distance matrix and the points are defined on m dimensional space, then the elements of A are given …
7Operator norm — In mathematics, the operator norm is a means to measure the size of certain linear operators. Formally, it is a norm defined on the space of bounded linear operators between two given normed vector spaces. Contents 1 Introduction and definition 2 …
8Matrix norm — In mathematics, a matrix norm is a natural extension of the notion of a vector norm to matrices. Contents 1 Definition 2 Induced norm 3 Entrywise norms 3.1 Frobenius norm …
9Bombieri norm — In mathematics, the Bombieri norm, named after Enrico Bombieri, is a norm on homogeneous polynomials with coefficient in mathbb R or mathbb C (there is also a version for univariate polynomials). This norm has many remarkable properties, the most …
10Asymmetric norm — In mathematics, an asymmetric norm on a vector space is a generalization of the concept of a norm.DefinitionLet X be a real vector space. Then an asymmetric norm on X is a function p : X rarr; R satisfying the following properties:* non… …
