In linear algebra, functional analysis and related areas of mathematics, a norm is a function that assigns a strictly positive length or size to each vector in a vector space save possibly for the zero vector, which is assigned a length of zero. A ...

In mathematics, the Euclidean distance or Euclidean metric is the ordinary (i.e straight line) distance between two points in Euclidean space. With this distance, Euclidean space becomes a metric space. The associated norm is called the Euclidean ...