Nimber
In mathematics, the nimbers, also called Grundy numbers, are introduced in combinatorial game theory, where they are defined as the values of heaps in the game Nim. The nimbers are the ordinal numbers endowed with nimber addition and nimber multiplication, which are distinct from ordinal addition and ordinal multiplication. Because of the Sprague–Grundy theorem which states that every impartial game is equivalent to a Nim heap of a certain size, nimbers arise in a much larger class of impartial games. They may also occur in partisan games like Domineering.
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Combinatorial game theoryFibonacci nimField (mathematics)GF(2)Genus theoryGrundyHackenbushImpartial gameIncidence structureIndex of combinatorics articlesIndistinguishability quotientKaylesList of NP-complete problemsList of abstract strategy gamesMex (mathematics)NimNim-additionNim-sumNim additionNimbersNorthcott's nimOrdinal arithmeticOrdinal numberPower of twoSprague–Grundy theoremSprouts (game)Star (game theory)Subtract a squareSubtraction gameThue–Morse sequence⨧
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Nimber
In mathematics, the nimbers, also called Grundy numbers, are introduced in combinatorial game theory, where they are defined as the values of heaps in the game Nim. The nimbers are the ordinal numbers endowed with nimber addition and nimber multiplication, which are distinct from ordinal addition and ordinal multiplication. Because of the Sprague–Grundy theorem which states that every impartial game is equivalent to a Nim heap of a certain size, nimbers arise in a much larger class of impartial games. They may also occur in partisan games like Domineering.
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En matemáticas, los nimbers, t ...... aplica a conjuntos de nimbers.
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En mathématiques, dans la théo ...... quivalent à un certain nimber.
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I numeri di Grundy sono stati ...... e in termini di questi valori.
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In mathematics, the nimbers, a ...... is applied to sets of nimbers.
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Nimliczby – liczby porządkowe ...... ych od są ciałami skończonymi.
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组合博弈论引入了一类数学对象,称为尼姆数,它们被定义为尼姆堆 ...... 成的概念。这些运算和通常施行于序数类上的加法和乘法并不相同。
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973,869,917
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383,699,838
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Nimber
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En matemáticas, los nimbers, t ...... s partisanos como Domineering.
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En mathématiques, dans la théo ...... quivalent à un certain nimber.
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I numeri di Grundy sono stati ...... e moltiplicazione ridefinite.
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In mathematics, the nimbers, a ...... rtisan games like Domineering.
@en
Nimliczby – liczby porządkowe ...... ych od są ciałami skończonymi.
@pl
组合博弈论引入了一类数学对象,称为尼姆数,它们被定义为尼姆堆 ...... 成的概念。这些运算和通常施行于序数类上的加法和乘法并不相同。
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Nimber
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Nimber
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Nimber
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Nimliczby
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Numero di Grundy
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尼姆数
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