Nimber

From Wiki @ Karl Jones dot com
Revision as of 08:13, 2 November 2016 by Karl Jones (Talk | contribs) (Created page with "In mathematics, the '''nimbers''', also called '''Grundy numbers''', are introduced in combinatorial game theory, where they are defined as the values of nim heaps...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to: navigation, search

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