Nimber

Nimber multiplication of powers of two (sequence A223541 in OEIS)Calculating the nim-products of powers of two is a decisive point in the recursive algorithm of nimber-multiplication.

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. The minimum excludant operation is applied to sets of nimbers.

单词	Grundy number
释义	Grundy number 英语百科 Nimber 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. The minimum excludant operation is applied to sets of nimbers.
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