Example of A Value-* Game
Nim, with one pile and one piece, has value *. The first player will remove the piece, and the second player will lose. A single-pile Nim game with one pile of n pieces (also a first-player win) is defined to have value *n. The numbers *z for integers z form an infinite field of characteristic 2, when addition is defined in the context of combinatorial games and multiplication is given a more complex definition.
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Famous quotes containing the word game:
“Lyke as a huntsman after weary chace,
Seeing the game from him escapt away,
Sits downe to rest him in some shady place,”
—Edmund Spenser (1552?–1599)