Position: Home > Articles > The Sum Formula of the Natural Number Nth Power and Its Factorization by MATLAB
Journal of Xichang University(Natural Science Edition)
2016,30
(3)
17-20
自然数n次幂的求和公式及其因式分解的Matlab求解
作 者：
刘冬兵;马亮亮
单 位：
攀枝花学院数学与计算机学院
关键词：
自然数;n次幂;和;条件数;因式分解;符号推导
摘 要：
应用待定系数法研究了自然数n次幂的求和公式及其因式分解的计算机符号推导,并给出线性方程组中系数矩阵所对应的n=1-16的条件数,同时将该方法应用到所有的自然数的多项式函数求和公式及其因式分解.
译 名：
The Sum Formula of the Natural Number Nth Power and Its Factorization by MATLAB
作 者：
LIU Dong-bing;MA Liang-liang;College of Mathematics and Computer,Panzhihua University;
关键词：
natural number;;the nth power;;sum;;condition number;;the factorization method;;symbolic derivation
摘 要：
With the method of undetermined coefficients, this paper studies the sum formula of the nth power and its factorization by the computer symbolic derivation. It also gives the condition number of n = 1-16 for the coefficient matrix in linear equations. In addition, this method can also be applied to the polynomial function sum formulas and factorization of all the natural numbers.
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