棋子颜色问题模型进一步讨论  

The Further Discussion of the Modeling to Color-changing Problem of Chess Stones

作　　者：麻作军[1] 徐宏武[1] 齐小忠[1] 

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000

出　　处：《佳木斯大学学报（自然科学版）》2011年第5期789-791,共3页Journal of Jiamusi University：Natural Science Edition

基　　金：甘肃省教育厅科研项目(0710.01)

摘　　要：讨论了棋子颜色变化过程中序列{Ak}中点的类型及其分类条件,得到了同周期不同维数点的构造定理,然后给出当n=2l各类循环点的个数以及所有点的演化图,最后对n≠2l时,根据自然数n的质因数,对点集Sn进行分类,给出点的演化情况,以及了Sn中环数与周期关系.The essay discussed the types and conditions of points in process Color-changing,figured out the structure theory of the same period and different dimension points and worked out the number and the evolution of all types cycle points on n=2l.Based on the prime factors of integer n,it gave out the evolution of all types cycle points,as well as the relations of the cycle＇s numbers and the period on integer n≠2l.

关 键 词：棋子颜色问题 布尔向量 周期 演化 

分 类 号：O141.4[理学—数学]