product and sum formula

The permanent of matrix plays an important role in Combinatorial Mathematics, especially in Graph Theo-ry , but its application is still not as wide as that of determinant of matrix, because it is very difficult to calculate the value of permanent.

不变积和式(permanent)在组合数学特别是图论中占有重要的位置,一直受到人们的关注。

In this paper, the differential and integral formulas for area coordinates in quadrilateral elements are presented.

文献［１］系统地论述了四边形单元面积坐标理论，本文是文献［１］的续篇，补充论述采用四边形单元面积坐标时的微分和积分公式。

The main purpose of this paper is using the Fourier expansion of the Bernoulli Polynomial to study the reciprocity formula of Dedekind sums and give a new and easiest proof for it.

利用Ｂｅｒｎｏｕｌｉ多项式的Ｆｏｕｒｉｅｒ展开式给出著名的Ｄｅｄｅｋｉｎｄ和互反公式的一个新的并且最简单的证