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In mathematics, the Euclidean algorithm, or Euclid's algorithm, is an efficient method for computing the greatest common divisor (GCD) of two integers...126 KB (15,349 words) - 16:35, 30 April 2025- Lehmer's GCD algorithm, named after Derrick Henry Lehmer, is a fast GCD algorithm, an improvement on the simpler but slower Euclidean algorithm. It is mainly...4 KB (572 words) - 18:19, 11 January 2020
The binary GCD algorithm, also known as Stein's algorithm or the binary Euclidean algorithm, is an algorithm that computes the greatest common divisor...17 KB (1,993 words) - 13:05, 28 January 2025
Travelling salesman problem (redirect from Euclidean traveling salesman problem)deterministic algorithm and within ( 33 + ε ) / 25 {\displaystyle (33+\varepsilon )/25} by a randomized algorithm. The TSP, in particular the Euclidean variant...87 KB (11,633 words) - 21:17, 27 May 2025- result of Euclidean division. Some are applied by hand, while others are employed by digital circuit designs and software. Division algorithms fall into...42 KB (5,900 words) - 19:09, 10 May 2025
Fast inverse square root, sometimes referred to as Fast InvSqrt() or by the hexadecimal constant 0x5F3759DF, is an algorithm that estimates 1 x {\textstyle...35 KB (4,648 words) - 02:43, 15 June 2025
are called integer division algorithms, the best known of which being long division. Euclidean division, and algorithms to compute it, are fundamental...16 KB (2,261 words) - 19:20, 5 March 2025
The Karatsuba algorithm is a fast multiplication algorithm for integers. It was discovered by Anatoly Karatsuba in 1960 and published in 1962. It is a...13 KB (2,046 words) - 20:43, 4 May 2025
The Schönhage–Strassen algorithm is an asymptotically fast multiplication algorithm for large integers, published by Arnold Schönhage and Volker Strassen...26 KB (4,580 words) - 11:43, 4 June 2025- K-means clustering (redirect from K-means clustering algorithm)is the minimum Euclidean distance assignment. Hartigan, J. A.; Wong, M. A. (1979). "Algorithm AS 136: A k-Means Clustering Algorithm". Journal of the...62 KB (7,754 words) - 11:44, 13 March 2025
William B.; Ram, Parikshit; Gray, Alexander G. (2010), "Fast Euclidean minimum spanning tree: algorithm, analysis, and applications", in Rao, Bharat; Krishnapuram...55 KB (6,676 words) - 19:53, 5 February 2025
path problem. A* search algorithm Bellman–Ford algorithm Euclidean shortest path Floyd–Warshall algorithm Johnson's algorithm Longest path problem Parallel...45 KB (5,638 words) - 03:05, 11 June 2025- Chu–Liu/Edmonds' algorithm): find maximum or minimum branchings Euclidean minimum spanning tree: algorithms for computing the minimum spanning tree of a set of points...72 KB (7,951 words) - 17:13, 5 June 2025
- {\displaystyle O(dn^{2})} if m = n {\displaystyle m=n} ; the Lanczos algorithm can be very fast for sparse matrices. Schemes for improving numerical stability...43 KB (8,283 words) - 10:58, 23 May 2025
- Karatsuba multiplication, unleashing a flood of research into fast multiplication algorithms. This method uses three multiplications rather than four to...47 KB (6,871 words) - 22:32, 25 January 2025
- using the Euclidean algorithm. If this produces a nontrivial factor (meaning gcd ( a , N ) ≠ 1 {\displaystyle \gcd(a,N)\neq 1} ), the algorithm is finished...40 KB (5,812 words) - 18:37, 15 June 2025
- K-medoids (category Cluster analysis algorithms)is 8) metric: The distance metric to use (default is Euclidean distance) method: The algorithm to use ('pam' or 'alternate') init: The medoid initialization...17 KB (1,907 words) - 07:41, 30 April 2025
- integer factorization algorithm optimized for smooth numbers, try to factor g k mod q {\displaystyle g^{k}{\bmod {q}}} (Euclidean residue) using the factor...11 KB (1,720 words) - 19:06, 25 May 2025
- Greatest common divisor (section Euclidean algorithm)as the multiplication. However, if a fast multiplication algorithm is used, one may modify the Euclidean algorithm for improving the complexity, but the...36 KB (4,743 words) - 09:06, 10 April 2025
- weighted by the inverse of their distance. This algorithm works as follows: Compute the Euclidean or Mahalanobis distance from the query example to...32 KB (4,333 words) - 23:48, 16 April 2025
- infinitude of the universe. It is Euclidean geometry which leads to infinite space as a necessity. ...Einstein showed that Euclidean geometry must be given up
- common in spatial and other search algorithms, as well as in computer game physics engines. However, the common Euclidean distance requires calculating square