Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
nim-sum
nimber sum |
| gptkbp:application |
analyzing impartial games
|
| gptkbp:defines |
The bitwise exclusive or (XOR) of two non-negative integers.
|
| gptkbp:field |
combinatorial game theory
|
| gptkbp:groupStructure |
abelian group under nimber addition
|
| https://www.w3.org/2000/01/rdf-schema#label |
binary digital sum (nimber)
|
| gptkbp:identityElement |
0
each element is its own inverse |
| gptkbp:operationOn |
non-negative integers
|
| gptkbp:operationSymbol |
XOR
⊕ |
| gptkbp:operator |
binary operation
|
| gptkbp:property |
associative
commutative |
| gptkbp:relatedTo |
gptkb:Grundy_number
gptkb:Sprague-Grundy_theorem nimber |
| gptkbp:usedIn |
game of Nim
|
| gptkbp:bfsParent |
gptkb:Nim_(game)
|
| gptkbp:bfsLayer |
8
|