synthesize algorithm - Definition. Was ist synthesize algorithm
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Was (wer) ist synthesize algorithm - definition

ALGORITHM USED IN ARITHMETIC
Tonelli algorithm; Tonelli's algorithm; Shanks-Tonelli algorithm; Shanks–Tonelli algorithm; Tonelli-Shanks algorithm; Shanks algorithm

Prim's algorithm         
  • The adjacency matrix distributed between multiple processors for parallel Prim's algorithm. In each iteration of the algorithm, every processor updates its part of ''C'' by inspecting the row of the newly inserted vertex in its set of columns in the adjacency matrix. The results are then collected and the next vertex to include in the MST is selected globally.
  • generation]] of this maze, which applies Prim's algorithm to a randomly weighted [[grid graph]].
  • Prim's algorithm starting at vertex A. In the third step, edges BD and AB both have weight 2, so BD is chosen arbitrarily. After that step, AB is no longer a candidate for addition to the tree because it links two nodes that are already in the tree.
  • Demonstration of proof. In this case, the graph ''Y<sub>1</sub>'' = ''Y'' − ''f'' + ''e'' is already equal to ''Y''. In general, the process may need to be repeated.
ALGORITHM
Jarnik algorithm; Prim-Jarnik algorithm; Prim-Jarnik's algorithm; Jarnik's algorithm; Prim-Jarník; DJP algorithm; Jarník algorithm; Jarník's algorithm; Jarníks algorithm; Jarniks algorithm; Prim-Jarník algorithm; Prim-Jarnik; Prim algorithm; Prim’s algorithm; Jarník-Prim; Prims algorithm
In computer science, Prim's algorithm (also known as Jarník's algorithm) is a greedy algorithm that finds a minimum spanning tree for a weighted undirected graph. This means it finds a subset of the edges that forms a tree that includes every vertex, where the total weight of all the edges in the tree is minimized.
https://en.wikipedia.org/wiki/Prim's_algorithm
Dinic's algorithm         
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ALGORITHM FOR COMPUTING THE MAXIMAL FLOW OF A NETWORK
Dinic's Algorithm; Dinitz blocking flow algorithm; Blocking flow; Dinic algorithm
Dinic's algorithm or Dinitz's algorithm is a strongly polynomial algorithm for computing the maximum flow in a flow network, conceived in 1970 by Israeli (formerly Soviet) computer scientist Yefim (Chaim) A. Dinitz.
https://en.wikipedia.org/wiki/Dinic's_algorithm
Euclidean Algorithm         
  • A 24-by-60 rectangle is covered with ten 12-by-12 square tiles, where 12 is the GCD of 24 and 60. More generally, an ''a''-by-''b'' rectangle can be covered with square tiles of side-length ''c'' only if ''c'' is a common divisor of ''a'' and ''b''.
  • Plot of a linear [[Diophantine equation]], 9''x''&nbsp;+&nbsp;12''y''&nbsp;=&nbsp;483. The solutions are shown as blue circles.
  • cube root of 1]].
  • Subtraction-based animation of the Euclidean algorithm. The initial rectangle has dimensions ''a''&nbsp;=&nbsp;1071 and ''b''&nbsp;=&nbsp;462. Squares of size 462&times;462 are placed within it leaving a 462&times;147 rectangle. This rectangle is tiled with 147&times;147 squares until a 21&times;147 rectangle is left, which in turn is tiled with 21&times;21 squares, leaving no uncovered area. The smallest square size, 21, is the GCD of 1071 and 462.
  • compass]] in a painting of about 1474.
  • ''u''<sup>2</sup> + ''v''<sup>2</sup>}} less than 500
ALGORITHM FOR COMPUTING GREATEST COMMON DIVISORS
Euclids algorithm; Euclidean Algorithm; Euclid's algorithm; Euclid's algorithem; Euclid algorithm; The Euclidean Algorithm; Game of Euclid; Euclid’s Algorithm; Euclid's division algorithm; Generalizations of the Euclidean algorithm; Applications of the Euclidean algorithm
Euclid's Algorithm

Wikipedia

Tonelli–Shanks algorithm

The Tonelli–Shanks algorithm (referred to by Shanks as the RESSOL algorithm) is used in modular arithmetic to solve for r in a congruence of the form r2 ≡ n (mod p), where p is a prime: that is, to find a square root of n modulo p.

Tonelli–Shanks cannot be used for composite moduli: finding square roots modulo composite numbers is a computational problem equivalent to integer factorization.

An equivalent, but slightly more redundant version of this algorithm was developed by Alberto Tonelli in 1891. The version discussed here was developed independently by Daniel Shanks in 1973, who explained:

My tardiness in learning of these historical references was because I had lent Volume 1 of Dickson's History to a friend and it was never returned.

According to Dickson, Tonelli's algorithm can take square roots of x modulo prime powers pλ apart from primes.

https://en.wikipedia.org/wiki/Tonelli–Shanks algorithm
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