## length algorithms

• #### chebyshev distance

In mathematics, Chebyshev distance (or Tchebychev distance), maximum metric, or L metric is a metric defined on a vector space where the distance between two vectors is the greatest of their differences along any coordinate dimension. It is named after ...

• #### euclidean norm

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 spacesave for the zero vector, which is assigned a length of zero. A seminorm, on ...

• #### euclidean distance

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 ...

• #### manhattan distance

Taxicab geometry, considered by Hermann Minkowski in 19th-century Germany, is a form of geometry in which the usual distance function of metric or Euclidean geometry is replaced by a new metric in which the distance between two points is the sum of the ...

• #### minkowski distance

The Minkowski distance is a metric in a normed vector space which can be considered as a generalization of both the Euclidean distance and the Manhattan distance.The Minkowski distance of order p between two pointsis defined as:For, the Minkowski ...