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轮换对称多项式通式的构造及初等轮换式的自动发现
引用本文:何灯.轮换对称多项式通式的构造及初等轮换式的自动发现[J].佛山科学技术学院学报(自然科学版),2011,29(1):36-42.
作者姓名:何灯
作者单位:福清港头中学,福建,福清,350317
摘    要:通过改进算法的轮换对称多项式的通式构造程序,研究了初等轮换对称多项式的构造,编写Maple程序得到了3元到7元的初等轮换对称多项式;提出并编程实现列表乘法运算,为较多元多项式的线性表示及多项式的通式构造提供了强有力的工具;提出了3个猜想并编程实现部分验证.

关 键 词:轮换对称多项式  初等轮换对称多项式  构造程序  猜想

The structure of rotation symmetric polynomial's general formula and the automatical discover of elementary rotation
HE Deng.The structure of rotation symmetric polynomial''s general formula and the automatical discover of elementary rotation[J].Journal of Foshan University(Natural Science Edition),2011,29(1):36-42.
Authors:HE Deng
Institution:HE Deng (Fuqing Gangtou Middle School,Fuqing 350317,China)
Abstract:In light of the improved algorithm's rotation symmetric polynomial general formula constructor,we studied the elementary rotation symmetric polynomial structures,and compiled maple program to get 3 to 7 elementary rotation symmetric polynomial.We also put forward and achieved list multiplication by programming and provided powerful tools for the multivariate polynomial and its general formula constructor.Finally,we posed three further assumptions on our study which were verified by means of programming.
Keywords:rotation symmetric polynomial  elementary rotation symmetric polynomial  constructor  guess  
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