In mathematics, the Euclidean distance between two points in Euclidean space is the length of the line segment between them. It can be calculated from... 25 KB (3,188 words) - 23:31, 17 March 2024 |
In mathematics, a Euclidean distance matrix is an n×n matrix representing the spacing of a set of n points in Euclidean space. For points x1,x2,…,xn{\displaystyle... 17 KB (2,226 words) - 02:22, 3 January 2024 |
Cosine similarity (redirect from Cosine distance) cosine distance is half of the squared Euclidean distance of the L 2 {\displaystyle L_{2}} normalization of the vectors, and squared Euclidean distance does... 21 KB (3,005 words) - 19:29, 15 February 2024 |
analogous to Euclidean geometry but without uniquely determined parallel lines Euclidean distance, the distance between pairs of points in Euclidean spaces... 2 KB (312 words) - 19:31, 4 March 2019 |
Taxicab geometry (redirect from Manhattan distance) Manhattan geometry is geometry where the familiar Euclidean distance is ignored, and the distance between two points is instead defined to be the sum... 18 KB (2,500 words) - 21:30, 28 February 2024 |
mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry... 44 KB (6,013 words) - 04:15, 7 April 2024 |
squared Euclidean (which unlike Euclidean, does not have triangle inequality) distance at its core. The common learning goal is to minimize a distance metric... 12 KB (1,575 words) - 00:45, 13 April 2024 |
Pythagorean theorem (category Euclidean plane geometry) thousands of years. When Euclidean space is represented by a Cartesian coordinate system in analytic geometry, Euclidean distance satisfies the Pythagorean... 92 KB (12,548 words) - 05:59, 17 April 2024 |
variance, then the Mahalanobis distance corresponds to standard Euclidean distance in the transformed space. The Mahalanobis distance is thus unitless, scale-invariant... 18 KB (2,578 words) - 21:08, 29 April 2024 |
Similarity measure (category Statistical distance) include Euclidean distance, Manhattan distance, Minkowski distance, and Chebyshev distance. The Euclidean distance formula is used to find the distance between... 17 KB (2,508 words) - 14:07, 27 February 2024 |
Norm (mathematics) (redirect from L2 distance) particular, the Euclidean distance in a Euclidean space is defined by a norm on the associated Euclidean vector space, called the Euclidean norm, the 2-norm... 34 KB (5,671 words) - 22:19, 22 April 2024 |
agrep Damerau–Levenshtein distance diff Dynamic time warping Euclidean distance Homology of sequences in genetics Hamming distance Hunt–Szymanski algorithm... 20 KB (2,432 words) - 11:49, 22 April 2024 |
clustering minimizes within-cluster variances (squared Euclidean distances), but not regular Euclidean distances, which would be the more difficult Weber problem:... 61 KB (7,644 words) - 19:05, 29 April 2024 |
Color difference (redirect from Color distance) definitions make use of the Euclidean distance in a device-independent color space. As most definitions of color difference are distances within a color space... 26 KB (4,054 words) - 16:37, 31 March 2024 |
Rigid transformation (redirect from Euclidean transformation) called Euclidean transformation or Euclidean isometry) is a geometric transformation of a Euclidean space that preserves the Euclidean distance between... 9 KB (1,143 words) - 15:04, 19 December 2023 |
that can be embedded in a Euclidean space is called a Euclidean distance matrix. Another common example of a metric distance matrix arises in coding theory... 31 KB (3,983 words) - 12:32, 3 January 2024 |
Medoid (section Euclidean distance) interest while wanting to find a representative using some distance other than squared euclidean distance (for instance in movie-ratings). For some data sets... 33 KB (4,019 words) - 16:06, 24 April 2024 |
Poincaré half-plane model (section Euclidean synopsis) In non-Euclidean geometry, the Poincaré half-plane model is the upper half-plane, denoted below as H ={⟨x,y⟩∣y>0;x,y∈R}{\displaystyle =\{\langle x,y\rangle... 21 KB (3,346 words) - 20:56, 18 May 2023 |
Travelling salesman problem (redirect from Euclidean traveling salesman problem) TSPs for various metrics. In the Euclidean TSP (see below), the distance between two cities is the Euclidean distance between the corresponding points... 86 KB (11,464 words) - 11:49, 25 April 2024 |
in our city). For most cities, the distance between points can be measured using the familiar Euclidean distance: ℓ 2 = d [ ( a 1 , a 2 ) , ( b 1 , b... 46 KB (5,590 words) - 01:20, 20 April 2024 |
Metric space (redirect from Distance function) 3-dimensional Euclidean space with its usual notion of distance. Other well-known examples are a sphere equipped with the angular distance and the hyperbolic... 80 KB (11,077 words) - 10:04, 5 April 2024 |
Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements... 59 KB (7,077 words) - 20:19, 5 April 2024 |
{\displaystyle {n \choose 2}} pairwise distance polynomials between n points in a real Euclidean space are Euclidean invariants that are associated via the... 22 KB (4,722 words) - 18:44, 3 March 2024 |