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Shannon number
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American mathematician Claude Shannon, is a conservative lower bound of the game-tree complexity of chess of 10120, based on an average of about 103 possibilitiesGo and mathematics (1,727 words) [view diff] exact match in snippet view article find links to article
living stones, such that each local area has a polynomial size canonical game tree. In the language of combinatorial game theory, it happens when a Go gameTransposition table (1,272 words) [view diff] exact match in snippet view article find links to article
cache of previously seen positions, and associated evaluations, in a game tree generated by a computer game playing program. If a position recurs viaEvaluation function (2,436 words) [view diff] exact match in snippet view article find links to article
value or goodness of a position (usually at a leaf or terminal node) in a game tree. Most of the time, the value is either a real number or a quantized integerSiege of Mafeking (2,964 words) [view diff] case mismatch in snippet view article find links to article
Ramsden for acts during an attack on the Boer Game Tree Fort, and to Captain Charles FitzClarence for Game Tree and two previous actions. In September 1904MTD(f) (812 words) [view diff] exact match in snippet view article
MTD(f) is an alpha-beta game tree search algorithm modified to use ‘zero-window’ initial search bounds, and memory (usually a transposition table) toExpectiminimax (1,150 words) [view diff] exact match in snippet view article find links to article
event occurring. In game theory terms, an expectiminimax tree is the game tree of an extensive-form game of perfect, but incomplete information. In theFanorona (823 words) [view diff] no match in snippet view article find links to article
Alpha-beta pruning players, the game-tree complexity and state-space complexity can be computed. Fanorona has a game-tree complexity of ~1046 and a state-spaceRémi Coulom (290 words) [view diff] no match in snippet view article find links to article
2006, Rémi Coulom described the application of the Monte Carlo method to game-tree search and coined the term Monte Carlo tree search in his paper, “EfficientChess (18,057 words) [view diff] no match in snippet view article find links to article
38) × 1044 with a 95% confidence level, with a game-tree complexity of approximately 10123. The game-tree complexity of chess was first calculated by ClaudeAbstract strategy game (1,733 words) [view diff] no match in snippet view article find links to article
three top contenders represents, it is estimated that checkers has a game-tree complexity of 1040 possible games, whereas chess has approximately 10123Orders of magnitude (numbers) (12,983 words) [view diff] no match in snippet view article
(6×6×6 Rubik's Cube). Chess: Shannon number, 10120, a lower bound of the game-tree complexity of chess. Physics: 10120, discrepancy between the observed1982–83 NBA season (751 words) [view diff] case mismatch in snippet view article find links to article
per game Micheal Ray Richardson Golden State Warriors 2.84 Blocks per game Tree Rollins Atlanta Hawks 4.29 FG% Artis Gilmore San Antonio Spurs .626 FT%Tiny and miny (412 words) [view diff] exact match in snippet view article find links to article
expression appears daunting, some careful and persistent expansion of the game tree of ⧾⧾⧾G + ↓ will show that it is a second player win, and that, consequentlyGo (game) (16,260 words) [view diff] no match in snippet view article
measure of all the alternatives to be considered at each stage of the game (game-tree complexity) can be estimated with bd, where b is the game's breadth (numberAiredale Terrier (3,354 words) [view diff] no match in snippet view article find links to article
been the finest utility dog. King could retrieve waterfowl and upland game, tree raccoons, drive cattle and sheep, and bay mountain lions, bears, and wolvesReversi (3,141 words) [view diff] no match in snippet view article find links to article
the number of legal positions in Othello is at most 1028, and it has a game-tree complexity of approximately 1058. Mathematically, Othello is solved upClaude Shannon (8,363 words) [view diff] no match in snippet view article find links to article
Shannon completed a paper (published in March 1950) which estimates the game-tree complexity of chess, which is approximately 10120. This number is nowEnglish draughts (2,520 words) [view diff] no match in snippet view article find links to article
positions in English draughts is 500,995,484,682,338,672,639 and it has a game-tree complexity of approximately 1040. By comparison, chess is estimated toAlexander Brudno (1,027 words) [view diff] exact match in snippet view article find links to article
that were clearly inferior to one already considered. In the following game tree vertices represent positions and edges represent moves. The position'sI-Chen Wu (300 words) [view diff] no match in snippet view article find links to article
the 11th Advances in Computer Games Conference (ACG'11) in 2005. The game-tree complexity of this game is quite high, close to Chinese Chess. Since presentedAdriaan de Groot (428 words) [view diff] exact match in snippet view article find links to article
'exploration phase' was manifested by looking at some branches of the game tree. The third stage, or 'investigation phase' resulted in the subject choosingHuman–computer chess matches (3,934 words) [view diff] exact match in snippet view article find links to article
conservatively for a long-term advantage the computer is not able to see in its game tree search. Fritz, however, won game 5 after a severe blunder by Kramnik.Mac Hack (718 words) [view diff] exact match in snippet view article find links to article
computer to use a transposition table, which is a vital optimization in game tree search. Greenblatt and Tom Knight went on to advance artificial intelligenceXiangqi (9,731 words) [view diff] no match in snippet view article find links to article
bodies such as the AXF and the Chinese Xiangqi Association (CXA). The game-tree complexity of xiangqi is approximately 10150; in 2004 it was projectedBest node search (377 words) [view diff] exact match in snippet view article find links to article
Best node search (BNS), originally known as fuzzified game tree search, is a minimax search algorithm developed in 2011 that optimizes decision-makingShogi (10,960 words) [view diff] exact match in snippet view article find links to article
Ranging Rook by black Shogi is similar to chess but has a much larger game tree complexity because of the use of drops, greater number of pieces, andFruit (software) (699 words) [view diff] exact match in snippet view article
variation search) algorithm with iterative deepening to traverse the game tree. It also uses the null-move heuristic. The original version used a simplisticLarge numbers (7,418 words) [view diff] no match in snippet view article find links to article
universe (1080), or 100 quinvigintillion/100 QiVg The lower bound on the game-tree complexity of chess, also known as the "Shannon number" (estimated atList of algorithms (7,945 words) [view diff] exact match in snippet view article find links to article
lowest-cost route where costs vary SSS*: state space search traversing a game tree in a best-first fashion similar to that of the A* search algorithm CliquesBrains in Bahrain (472 words) [view diff] exact match in snippet view article find links to article
conservatively for a long-term advantage the computer is not able to see in its game tree search. After a draw in game 4, Kramnik lost game 5 due to a blunder.Stratego (6,113 words) [view diff] exact match in snippet view article find links to article
the initial setup has more than 1066 possible states, and the overall game tree has 10535 possible states. DeepNash was able to win 84% of 50 ranked matchesHans Berliner (1,599 words) [view diff] exact match in snippet view article find links to article
more favorable dice rolls. He also developed the B* search algorithm for game tree searching. HiTech was the first computer chess system to reach the 2400Charles FitzClarence (1,729 words) [view diff] case mismatch in snippet view article find links to article
in men and prestige. On the 26th December, 1899, during the action at Game Tree, near Mafeking, Captain FitzClarence again distinguished himself by hisGhost (game) (1,086 words) [view diff] exact match in snippet view article
"ghost". When a round ends, play generally passes to the left. Since the game tree of Ghost can be derived from the list of combinations of letters thatChildren's street culture (1,377 words) [view diff] case mismatch in snippet view article find links to article
traditional children's games Peter and Iona Opie Playground song Street game Tree house Truce term Beck 1984 Sobel, 2001 Moore, Robin C. (6 December 2017)Dameo (2,495 words) [view diff] exact match in snippet view article find links to article
and estimated a draw margin of around 21% at high-level play. Dameo's game tree complexity is estimated to be around 10^107. Its upper bound state-spaceComputer Go (6,501 words) [view diff] exact match in snippet view article find links to article
produced a new algorithm he called Monte Carlo tree search. In it, a game tree is created as usual of potential futures that branch with every move.Hex (board game) (4,408 words) [view diff] exact match in snippet view article
complexity is approximately 2.4×1056; versus 4.6×1046 for chess. The game tree complexity is approximately 1098 versus 10123 for chess. In 2002, JingBlondie24 (507 words) [view diff] exact match in snippet view article find links to article
The design of Blondie24 is based on a minimax algorithm of the checkers game tree in which the evaluation function is a deep learning convolutional artificialProgress in artificial intelligence (4,715 words) [view diff] exact match in snippet view article find links to article
Game Champion year Legal states (log10) Game tree complexity (log10) Game of perfect information? Ref. Draughts (checkers) 1994 21 31 Perfect OthelloList of arcade video games: G (96 words) [view diff] case mismatch in snippet view article find links to article
Gals Pinball — 1996 Comad Game Tengoku: The Game Paradise — 1995 Jaleco Game Tree — 1978 Project Support Engineering Games — 1991 US Games, Inc. GamsharaHorace Edward Ramsden (271 words) [view diff] case mismatch in snippet view article find links to article
he was awarded the VC: On the 26th December, 1899, during the fight at Game Tree, near Mafeking, after the order to retire was given, Trooper H. E. RamsdenHorace Martineau (1,048 words) [view diff] case mismatch in snippet view article find links to article
London Gazette reads: On the 26th December, 1899, during the fight at Game Tree, near Mafeking, when the order to retire had been given, Sergeant MartineauEmergo (board game) (1,616 words) [view diff] exact match in snippet view article
created, Emergo is Christian Freeling's personal favourite. Emergo has a game tree complexity of ~10^104 The feel of Emergo's gameplay has been describedStonehearth (925 words) [view diff] no match in snippet view article find links to article
select a map with a balance of the three main resource sources in the game: Tree & Plants, Wildlife, and Minerals. These resources are shown with theirMaven (Scrabble) (1,795 words) [view diff] exact match in snippet view article
other's racks. Maven uses the B-star search algorithm to analyze the game tree during the endgame phase. Maven has used several algorithms for move generationGordon Chesney Wilson (3,860 words) [view diff] case mismatch in snippet view article find links to article
Wilson and most of Baden-Powell's staff participated in a sortie attacking Game Tree Hill, a well-placed and dangerous Boer gun emplacement. The Boers wereElementalist (175 words) [view diff] case mismatch in snippet view article find links to article
the Dungeons & Dragons game Tome of Magic a type of character in the game Tree of Savior characters in the comic-book series Urth 4 The ElementalistSymple (game) (1,333 words) [view diff] exact match in snippet view article
group. Symple can be played online against the AiAi program. Symple has a game tree complexity of ~10^208. Symple was selected for the 2013 Codecup ChallengeMurus Gallicus (game) (928 words) [view diff] exact match in snippet view article
Nestorgames and online at iggamecenter Standard Murus Gallicus has an estimated game tree complexity of 10^101 on an 8x7 board. "Murus Gallicus". BoardGameGeekJames Robert Slagle (999 words) [view diff] exact match in snippet view article find links to article
No. 2 James Robert Slagle, Richard C. T. Lee (1971). Application of game tree searching techniques to sequential pattern recognition. CommunicationsJacobus Philippus Snyman (9,662 words) [view diff] case mismatch in snippet view article find links to article
1899, Colonel Baden-Powell planned and attempted a real attack on the Game Tree Fort (Platboomfort in Afrikaans) position under command of General Snyman