略论二项式（a＋b）n的系数计算

Brief Review on Calculation of Coefficient of Binomial （a＋b）n

本文论述了二项式系数计算的四种方法和它们在结构力学中应用的一个例子。这四种方法是杨辉(Pascal)三角法、二项式定理、系数递推法和线性方程组法,其中线性方程组法已脱离了杨辉(Pascal)三角系统成为一个新的方法,简单明了。它们在结构力学中的应用也是初步尝试。

the papers discusses four methods to calculate the coefficient of binomial （a＋b）n .An example applied in structural mechanics is also cited.The four methods are Pascal triangle method,bi-nomial theorem,coefficient recursion method and system of linear equations.The last method - system of linear equations has broken away from the Pascal triangle method and developed to be a new method, simple and easy to use.It is also the first time to attempt to apply the four methods in structural mechan-ics.