# Euclidean distance

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**Euclidean 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 … Wikipedia**Euclidean distance**— noun The distance between two points defined as the square root of the sum of the squares of the differences between the corresponding coordinates of the points; for example, in two dimensional Euclidean geometry, the Euclidean distance between… … Wiktionary**Euclidean 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 … Wikipedia**Distance matrices in phylogeny**— Distance matrices are used in phylogeny as non parametric distance methods were originally applied to phenetic data using a matrix of pairwise distances. These distances are then reconciled to produce a tree (a phylogram, with informative branch… … Wikipedia**Distance**— This article is about distance in the mathematical or physical sense. For other senses of the term, see distance (disambiguation). Proximity redirects here. For the 2001 film, see Proximity (film). Distance (or farness) is a numerical description … Wikipedia**Euclidean 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… … Wikipedia**Euclidean plane isometry**— In geometry, a Euclidean plane isometry is an isometry of the Euclidean plane, or more informally, a way of transforming the plane that preserves geometrical properties such as length. There are four types: translations, rotations, reflections,… … Wikipedia**Distance matrix**— In mathematics, computer science and graph theory, a distance matrix is a matrix (two dimensional array) containing the distances, taken pairwise, of a set of points. This matrix will have a size of N×N where N is the number of points, nodes or… … Wikipedia**Euclidean**— List of topics named after Euclid (Euclidean or, less commonly, Euclidian) *Euclidean space *Euclidean geometry *Euclid s Elements *Euclidean domain *Euclidean distance *Euclidean ball *Euclidean algorithm *Euclidean distance map *Extended… … Wikipedia**Distance transform**— A distance transform, also known as distance map or distance field, is a derived representation of a digital image. The choice of the term depends on the point of view on the object in question: whether the initial image is transformed into… … Wikipedia