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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 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
Euclidean distance — /juˌklɪdiən ˈdɪstəns/ (say yooh.klideeuhn distuhns) noun distance as measured in Euclidean space, that is, as one would with a tape measure or ruler …
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
