摘要
文章首先采用数学归纳法给出了前n项平方和封闭形式的组合解释,从而给出了平方和恒等式的一个直接的组合证明,解决了Benjamin和Orrison[1]在2002年提出的问题.
In this paper, a direct combinatorial proof of the sum of squares is presented by employing mathematical induction. And a direct combinatorial proof of an identity of squares sum is also put forward. This answers the question posed by Benjamin and Orrison in 2002.
出处
《黄石理工学院学报》
2007年第5期55-57,共3页
Journal of Huangshi Institute of Technology
关键词
组合证明
平方和恒等式
映射
combinatorial proof
identity of the sums of squares
mapping
