Karl Jones: 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..."

2016-11-02T14:13:13Z

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..."

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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 number|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 ==

* [[Combinatorial game theory]]
* [[Nim]]
* [[Ordinal number]]
* [[Sprague–Grundy theorem]]

== External links ==

* [https://en.wikipedia.org/wiki/Nimber Nimber] @ Wikipedia

[[Category:Mathematics]]

Nimber - Revision history

Karl Jones: 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..."