Statements (22)
Predicate | Object |
---|---|
gptkbp:instanceOf |
gptkb:mathematical_concept
|
gptkbp:alsoKnownAs |
nimber
nim-sum |
gptkbp:application |
solving impartial games
|
gptkbp:category |
gptkb:algebra
|
gptkbp:firstDescribed |
gptkb:Charles_Leonard_Bouton
1901 |
https://www.w3.org/2000/01/rdf-schema#label |
binary digital sum (Nimber)
|
gptkbp:identityElement |
0
self-inverse |
gptkbp:notation |
⊕
|
gptkbp:operationDefinition |
bitwise exclusive or (XOR)
|
gptkbp:operationOn |
non-negative integers
|
gptkbp:operator |
binary operation
|
gptkbp:property |
associative
commutative |
gptkbp:relatedTo |
gptkb:Sprague–Grundy_theorem
gptkb:Grundy_number |
gptkbp:usedIn |
gptkb:Nim
combinatorial game theory |
gptkbp:bfsParent |
gptkb:NIM
|
gptkbp:bfsLayer |
6
|