In graph theory, the metric k-center problem or vertex k-center problem is a classical combinatorial optimization problem studied in theoretical computer...
27 KB (3,607 words) - 08:52, 9 September 2024
In Einstein's theory of general relativity, the Schwarzschild metric (also known as the Schwarzschild solution) is an exact solution to the Einstein field...
38 KB (5,056 words) - 22:30, 11 September 2024
Ball (mathematics) (redirect from Metric ball)
These are: V 2 k ( r ) = π k k ! r 2 k , V 2 k + 1 ( r ) = 2 k + 1 π k ( 2 k + 1 ) ! ! r 2 k + 1 = 2 ( k ! ) ( 4 π ) k ( 2 k + 1 ) ! r 2 k + 1 . {\displaystyle...
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set problem (see above). Metric dimension of a graph: GT61 Metric k-center Minimum degree spanning tree Minimum k-cut Minimum k-spanning tree Minor testing...
29 KB (2,746 words) - 06:55, 5 September 2024
including the approximation of the traveling salesman problem and the metric k-center problem. They may be constructed in polynomial time, or (for low-dimensional...
28 KB (3,123 words) - 06:53, 11 March 2024
Pearson and Spearman, as a metric. Often, the classification accuracy of k-NN can be improved significantly if the distance metric is learned with specialized...
31 KB (4,251 words) - 11:49, 29 September 2024
(s), ampere (A), kelvin (K), mole (mol), and candela (cd). These can be made into larger or smaller units with the use of metric prefixes. SI derived units...
40 KB (4,724 words) - 16:36, 25 September 2024
a software metric is a standard of measure of a degree to which a software system or process possesses some property. Even if a metric is not a measurement...
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This is a glossary of some terms used in Riemannian geometry and metric geometry — it doesn't cover the terminology of differential topology. The following...
14 KB (2,090 words) - 01:41, 13 August 2024
the metric k-center problem a 2-approximation can be computed in polynomial time. However, when parameterizing by either the number k of centers, the...
28 KB (3,354 words) - 12:49, 29 July 2024
Optimal facility location (redirect from K-center problem)
the metric facility location problem (i.e. the centroid-based clustering problem or the metric k {\displaystyle k} -center problem) as the center selection...
21 KB (3,147 words) - 06:53, 22 July 2024
Metric is a Canadian indie rock band founded in 1998 in Toronto, Ontario. The band consists of Emily Haines (lead vocals, synthesizers, guitar, tambourine...
81 KB (8,050 words) - 17:14, 21 September 2024
The Waffle House Index is a metric named after the ubiquitous Southern US restaurant chain Waffle House known for its 24-hour, 365-day service. Since this...
11 KB (1,121 words) - 19:43, 1 October 2024
In mathematics, a metric space is a set together with a notion of distance between its elements, usually called points. The distance is measured by a function...
80 KB (11,081 words) - 20:23, 15 September 2024
In mathematics, a hyperbolic metric space is a metric space satisfying certain metric relations (depending quantitatively on a nonnegative real number...
20 KB (3,149 words) - 09:41, 31 July 2024
(cluster centers or cluster centroid), serving as a prototype of the cluster. This results in a partitioning of the data space into Voronoi cells. k-means...
61 KB (7,699 words) - 11:14, 29 September 2024
metric (FLRW; /ˈfriːdmən ləˈmɛtrə ... /) is a metric based on an exact solution of the Einstein field equations of general relativity. The metric describes...
29 KB (4,243 words) - 16:48, 28 September 2024
The Kerr metric or Kerr geometry describes the geometry of empty spacetime around a rotating uncharged axially symmetric black hole with a quasispherical...
52 KB (6,603 words) - 06:53, 27 August 2024
scalar curvature Kähler metrics (cscK metrics). In 1954, Eugenio Calabi formulated a conjecture about the existence of Kähler metrics on compact Kähler manifolds...
53 KB (8,333 words) - 06:23, 26 March 2024
In information geometry, the Fisher information metric is a particular Riemannian metric which can be defined on a smooth statistical manifold, i.e., a...
26 KB (4,698 words) - 14:56, 24 July 2024
The Kerr–Newman metric describes the spacetime geometry around a mass which is electrically charged and rotating. It is a vacuum solution which generalizes...
31 KB (4,780 words) - 05:19, 11 September 2024
Metrication in the United States (redirect from Metric system in the United States)
units or the metric system, to replace a jurisdiction's traditional measuring units. U.S. customary units have been defined in terms of metric units since...
97 KB (11,381 words) - 15:34, 28 September 2024
k ) {\displaystyle (x_{n_{k}})} such that x = lim k → ∞ x n k {\displaystyle x=\lim _{k\to \infty }x_{n_{k}}} . A set B {\displaystyle B} in a metric...
15 KB (2,302 words) - 00:27, 24 September 2024
the 2-norm distance metric, as opposed to the squared 2-norm distance metric (which k-means does). This relates directly to the k-median problem which...
4 KB (487 words) - 16:12, 30 August 2024
describing a metric connection. The metric connection is a specialization of the affine connection to surfaces or other manifolds endowed with a metric, allowing...
42 KB (7,076 words) - 16:07, 8 July 2024
Hedgehog space (redirect from Hedgehog metric)
shortest path passes through the center. The Paris metric, restricted to the unit disk, is a hedgehog space where K is the cardinality of the continuum...
4 KB (436 words) - 07:16, 19 September 2024
(unless P = NP) based on the farthest-first traversal for the metric k-center problem[G85] (k-tMM clustering); and for introducing the open-shop scheduling...
7 KB (347 words) - 04:59, 27 January 2024
Statistical distance (redirect from Probability metric)
distance) Hellinger distance Lévy–Prokhorov metric Wasserstein metric: also known as the Kantorovich metric, or earth mover's distance Mahalanobis distance...
6 KB (643 words) - 17:20, 5 March 2024
In mathematics, the Poincaré metric, named after Henri Poincaré, is the metric tensor describing a two-dimensional surface of constant negative curvature...
10 KB (2,101 words) - 14:58, 4 July 2024
Hamming distance (redirect from Hamming metric)
2173896 and 2233796 is 3. For a fixed length n, the Hamming distance is a metric on the set of the words of length n (also known as a Hamming space), as...
16 KB (1,908 words) - 06:19, 15 May 2024