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黑白棋子颜色变化问题探讨
引用本文:王伟,严志丹.黑白棋子颜色变化问题探讨[J].塔里木农垦大学学报,2010,22(1):45-46.
作者姓名:王伟  严志丹
作者单位:塔里木大学信息工程学院,新疆,阿拉尔,843300
摘    要:讨论了实霁虹等提出的关于黑白两种颜色的枚棋子的颜色变换次数命题。通过乘法模型,得到了该命题的矩阵形式。利用矩阵的若当标准型理论证明了该命题.

关 键 词:二冗域    特征值  若当标准形

Discussion on Color-changing Problem of Black-and-White Chessman
Wang Wei,Yan Zhidan.Discussion on Color-changing Problem of Black-and-White Chessman[J].Journal of Tarim University of Agricultural Reclamation,2010,22(1):45-46.
Authors:Wang Wei  Yan Zhidan
Institution:Wang Wei Yan Zhidan(College of Information Engineering,Tarim University,Alar,Xinjiang 843300)
Abstract:A conjecture made by Dou Jihong on Color-changing problem of black and white chessman was discussed.By the theory of Jordan normal form,we prove a proposition on power of a special recurrence matrix,which is an equivalent form of the previous problem.
Keywords:binary field  rank  eigenvalue  jordan normal form  
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