Additive Periodicity of the Sprague–Grundy Function of Certain Nim Games
نویسندگان
چکیده
منابع مشابه
interpersonal function of language in subtitling
translation as a comunicative process is always said to be associated with various aspects of meaning loss or gain. subtitling as a mode of translating, due to special discoursal and textual conditions imposed upon it, is believed to be an obvious case of this loss or gain. presenting the spoken sound track of a film in writing and synchronizing the perception of this text by the viewers with...
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چکیده ندارد.
15 صفحه اولCircular Nim Games
A circular Nim game is a two player impartial combinatorial game consisting of n stacks of tokens placed in a circle. A move consists of choosing k consecutive stacks, and taking at least one token from one or more of the k stacks. The last player able to make a move wins. We prove results on the structure of the losing positions for small n and k and pose some open questions for further invest...
متن کاملBlack&white Nim games
We present a new family of Nim games where the rules depend on a given ‘coloring’ of the tokens, each token being either black or white. The rules are as in Nim with the restriction that a white token on top of each heap is not allowed. We resolve the winning strategies of two disjoint game families played on two heaps. The heap-sizes with black tokens correspond to the numbers ⌊βn⌋, where β > ...
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ژورنال
عنوان ژورنال: Advances in Applied Mathematics
سال: 1999
ISSN: 0196-8858
DOI: 10.1006/aama.1998.0632