Książka Some Notes on Game Bounds Jorge Nuno Silva

Some Notes on Game Bounds

Język: Angielski
Oprawa: Miękka
Dostępność: Dostępna u dostawcy
Wysyłamy za 9-15 dni
83.62
Combinatorial Games are a generalization of real numbers. Each game has a recursively defined comple...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
1998
strony
108
EAN
9781581120219
ISBN
9781581120219
Enbook ID
08743892
Waga
150
Wymiary
141 x 217 x 9

Pełny opis

Combinatorial Games are a generalization of real numbers. Each game has a recursively defined complexity (birthday). In this paper we establish some game bounds. We find some limit cases for how big and how small a game can be, based on its complexity. For each finite birthday, N, we find the smallest positive number and the greatest game born by day N, as well as the smallest and the largest positive infinitesimals. As for each particular birthday we provide the extreme values for those types of games, these results extend those in [1, page 214]. The main references in the theory of combinatorial games are ONAG [1] and WW [2]. We'll use the notation and some fundamental results from WW---mainly from its first six chapters---to establish some bounds to the size of the games.

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