Difference between revisions of "Nimber"

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Latest revision as of 07:13, 2 November 2016

In mathematics, the nimbers, also called Grundy numbers, are introduced in combinatorial game theory, where they are defined as the values of nim heaps.

Description

Nimbers 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.

See also

External links