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Nimber Nimliczby Numero di Grundy Nimber
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2001
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Elwyn Berlekamp, John Conway et Richard Guy
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1
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anglais
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Winning Ways for your Mathematical Plays
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Winning Ways for your Mathematical Plays
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A K Peters Ltd
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I numeri di Grundy sono stati introdotti nella teoria dei giochi per il gioco del nim, per cui in inglese sono detti nimbers (nimeri). Prendono il nome dal matematico britannico Patrick Grundy, che dimostrò nel 1939 il teorema di Sprague-Grundy, in maniera indipendente da Roland Sprague. In mathematics, the nimbers, also called Grundy numbers, are introduced in combinatorial game theory, where they are defined as the values of nim heaps. They arise in a much larger class of games because of the Sprague–Grundy theorem. The nimbers are the ordinal numbers endowed with a new nimber addition and nimber multiplication, which are distinct from ordinal addition and ordinal multiplication.
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I numeri di Grundy sono stati introdotti nella teoria dei giochi per il gioco del nim, per cui in inglese sono detti nimbers (nimeri). Prendono il nome dal matematico britannico Patrick Grundy, che dimostrò nel 1939 il teorema di Sprague-Grundy, in maniera indipendente da Roland Sprague. I numeri di Grundy costituiscono una classe propria, e sono gli ordinali con le operazioni di addizione e moltiplicazione ridefinite.Il teorema mostra come ogni gioco imparziale è equivalente ad un numero di Grundy, ossia che è possibile determinare ad ogni mossa se il giocatore sta giocando correttamente o meno valutando la sua posizione in termini di questi valori. In mathematics, the nimbers, also called Grundy numbers, are introduced in combinatorial game theory, where they are defined as the values of nim heaps. They arise in a much larger class of games because of the Sprague–Grundy theorem. The nimbers are the ordinal numbers endowed with a new nimber addition and nimber multiplication, which are distinct from ordinal addition and ordinal multiplication.
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