منابع مشابه
Nimlike Games with Generalized Bases
Introduction. In several earlier papers [5] and [6], we discussed single pile games of Nim in which the number of counters that can be removed varies during the play of the game. In [4] we showed how to effectively play the single-pile game in which the number of counters that can be removed is a function of the number removed on the previous move. In that paper we constructed a number base and...
متن کاملDynamic One and Two Pile Nim Games Using Generalized Bases
Several authors have written papers dealing with a class of combinatorial games consisting of one-pile and two-pile counter pickup games for which the maximum number of counters that can be removed on each move changes during the play of the game. See Holshouser [8],[7], and Flanigan [4]. The maximum number of counters that can be removed can depend upon a number of factors including the number...
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In this paper, we shall prove three equilibrium existence theorems for generalized games in Hausdorff topological vector spaces.
متن کاملGeneralized Discrete Comprehensive Gröbner Bases
We showed special types of comprehensive Gröbner bases can be defined and calculated as the applications of Gröbner bases in polynomial rings over commutative Von Neumann regular rings in [5] and [6]. We called them discrete comprehensive Gröbner bases, since there is a strict restriction on specialization of parameters, that is parameters can take values only 0 and 1. In this paper, we show th...
متن کاملOn the generalized Ball bases
The Ball basis was introduced for cubic polynomials by Ball, and two different generalizations for higher degree m polynomials have been called the Said–Ball and the Wang–Ball basis, respectively. In this paper, we analyze some shape preserving and stability properties of these bases. We prove that the Wang–Ball basis is strictly monotonicity preserving for all m. However, it is not geometrical...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2005
ISSN: 0035-7596
DOI: 10.1216/rmjm/1181069745