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- Nim abstract "Nim is a mathematical game of strategy in which two players take turns removing objects from distinct heaps. On each turn, a player must remove at least one object, and may remove any number of objects provided they all come from the same heap.Variants of Nim have been played since ancient times. The game is said to have originated in China—it closely resembles the Chinese game of "Tsyan-shizi", or "picking stones"—but the origin is uncertain; the earliest European references to Nim are from the beginning of the 16th century. Its current name was coined by Charles L. Bouton of Harvard University, who also developed the complete theory of the game in 1901, but the origins of the name were never fully explained. The name is probably derived from German nimm meaning "take [imperative]", or the obsolete English verb nim of the same meaning.Nim can be played as a misère game, in which the player to take the last object loses. Nim can also be played as a normal play game, which means that the person who makes the last move (i.e., who takes the last object) wins. This is called normal play because most games follow this convention, even though Nim usually does not.Normal play Nim (or more precisely the system of nimbers) is fundamental to the Sprague–Grundy theorem, which essentially says that in normal play every impartial game is equivalent to a Nim heap that yields the same outcome when played in parallel with other normal play impartial games (see disjunctive sum).While all normal play impartial games can be assigned a nim value, that is not the case under the misère convention. Only tame games can be played using the same strategy as misère nim.A version of Nim is played—and has symbolic importance—in the French New Wave film Last Year at Marienbad (1961).At the 1940 New York World's Fair Westinghouse displayed a machine, the Nimatron, that played Nim. It was also one of the first ever electronic computerized games (1952). Herbert Koppel, Eugene Grant and Howard Bailer, engineers from the W.L. Maxon Corporation, developed a machine weighing 50 pounds which played Nim against a human opponent and regularly won.Nim is a special case of a poset game where the poset consists of disjoint chains (the heaps).".
- Nim thumbnail Nim_qc.jpg?width=300.
- Nim wikiPageExternalLink the-take-game-an-artificial-intelligence-toy-problem.
- Nim wikiPageExternalLink Nim.
- Nim wikiPageExternalLink 21.
- Nim wikiPageExternalLink ActivityDetail.aspx?ID=140.
- Nim wikiPageExternalLink jeu-marienbad.com.
- Nim wikiPageExternalLink 27399126.jsp.
- Nim wikiPageExternalLink nim.regginos.com.
- Nim wikiPageExternalLink sputsoft.com.
- Nim wikiPageExternalLink the-game-of-nim.html.
- Nim wikiPageExternalLink nim.html.
- Nim wikiPageExternalLink SNim.shtml.
- Nim wikiPageExternalLink May2001.html.
- Nim wikiPageExternalLink nim_st.shtml.
- Nim wikiPageExternalLink index.htm.
- Nim wikiPageExternalLink nim?referrer=RicardoRix.
- Nim wikiPageExternalLink 1952_08_02_018_TNY_CARDS_000236053.
- Nim wikiPageID "21885".
- Nim wikiPageRevisionID "606292461".
- Nim hasPhotoCollection Nim.
- Nim subject Category:Articles_containing_proofs.
- Nim subject Category:Articles_with_example_Python_code.
- Nim subject Category:Combinatorial_game_theory.
- Nim subject Category:Mathematical_games.
- Nim subject Category:Recreational_mathematics.
- Nim comment "Nim is a mathematical game of strategy in which two players take turns removing objects from distinct heaps. On each turn, a player must remove at least one object, and may remove any number of objects provided they all come from the same heap.Variants of Nim have been played since ancient times.".
- Nim label "Jeux de Nim".
- Nim label "Nim (jogo)".
- Nim label "Nim (juego)".
- Nim label "Nim (spel)".
- Nim label "Nim".
- Nim label "Nim".
- Nim label "Nim".
- Nim label "Nim-Spiel".
- Nim label "Ним (игра)".
- Nim label "ニム".
- Nim label "尼姆游戏".
- Nim sameAs Nim-Spiel.
- Nim sameAs Nim_(juego).
- Nim sameAs Nim_joko.
- Nim sameAs Jeux_de_Nim.
- Nim sameAs Nim.
- Nim sameAs ニム.
- Nim sameAs 님게임.
- Nim sameAs Nim_(spel).
- Nim sameAs Nim.
- Nim sameAs Nim_(jogo).
- Nim sameAs m.05hh0.
- Nim sameAs Q724409.
- Nim sameAs Q724409.
- Nim wasDerivedFrom Nim?oldid=606292461.
- Nim depiction Nim_qc.jpg.
- Nim isPrimaryTopicOf Nim.
