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arXiv 1202.4657math.CO
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数学围棋:重访

Mathematical Go: Revisited

Fraser Stewart

摘要:

在本文中,我们将看看这本书的数学围棋由埃尔文Berlekamp和大卫沃尔夫\cite{MG},并认为他们使用的定义和理论是不正确的。我们将论证,弗雷泽·斯图尔特·\cite{FS, FSP}提出的新的得分游戏理论是分析游戏的正确方法,因为它为我们进一步发展围棋理论提供了实际的数学基础。我们还将证明,《数学围棋》一书中的方法之所以有效,是因为围棋有一些非常好的性质,并表明这些理论不适用于其他得分游戏。

英文摘要:

In this paper we will look at the book Mathematical Go by Elwyn Berlekamp and David Wolfe \cite{MG}, and argue that the definitions and theories that they use are not the correct ones. We will argue that the new theory of scoring play games as developed by Fraser Stewart \cite{FS, FSP} is the proper way to analyse the game because it gives us the actual mathematical foundation for developing further theories for Go. We will also show that the reason the methods in the book Mathematical Go appear to work is coincidentally because the game Go has some very nice properties and show that these theories would not work for other scoring play games.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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