Kniha Some Notes on Game Bounds Jorge Nuno Silva

Some Notes on Game Bounds

Jazyk: Angličtina
Vazba: Brožovaná
Dostupnost: Skladem u dodavatele
Odesíláme za 9-15 dnů
453
Combinatorial Games are a generalization of real numbers. Each game has a recursively defined comple...

Informace o knize

Jazyk
Angličtina
Vazba
Kniha - Brožovaná
Vydáno
1998
Stránek
108
EAN
9781581120219
ISBN
9781581120219
Enbook ID
08743892
Hmotnost
150
Rozměry
141 x 217 x 9

Kompletní popis

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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