积分微分方程组的若干求解公式

提出三类积分微分方程组,利用迭代法及变上限函数的求导法则,论证其可积性,给出这些积分微分方程组的求解公式,是对文献中内容的深化与拓广.     

构造球面逼近算子的一种方法

借助于经典球面分析的Bochner-Riesz平均,Cesàro平均及有关球调和多项式的Gauss积分公式构造出了两类球面平移算子,并且以K-泛函为工具给出了逼近的上界估计.     

Singular integral on bounded strictly pseudoconvex domain

Kytmanov and Myslivets gave a special Cauchy principal value of the singular integral on the bounded strictly pseudoconvex domain with smooth boundary. By means of this Cauchy integral principal value, the corresponding singular integral and a composition formula are obtained. This composition formula is quite different from usual ones in form. As an application, the corresponding singular integral equation and the system of singular integral equations are discussed as well.     

谈谈“线性回归”的教学

新教材选修Ⅱ概率与统计第六节线性回归,介绍了变量间的相关关系中最简单的一种形式:一元线性相关关系.教学要求学生通过学习,了解线性回归的基本思想和方法.但在教学实践中,许多教师往往回避线性方程的意义和形成过程,只简单扼要地引出公式和结论,把教学的重点     

差角余弦公式

欲求差角余弦，单角交替出现；配上柯柯赛赛，中间加号相连． 说明：差角余弦公式就是cos（α-β）=cosαcosβ＋sinαsinβ.     

三元调和函数的几个性质

在几个引理的基础上,利用曲面积分的性质证明了三元调和函数的几个性质.     

The Asymptotic Behavior for Numerical Solution of a Volterra Equation

Long-time asymptotic stability and convergence properties for the numerical solution of a Volterra equation of parabolic type are studied.The methods are based on the first-second order backward difference methods.The memory term is approximated by the comvolution quadrature and the interpolant quadrature.Discretization of the spatial partial differential operators by the finite element method is also considered.     

Counting SL2（F2^s） Representations of Torus Knot Groups

In this paper,we count the number of SL2(F2^s)-representations of torus knot groups up to a conjugacy.For the finite field F2^s with character 2,the counting method is similar to that in out previous work[1].Explicit formulae of the effective counting are given in this paper.Twisted Alexander polynomials related to those reprsentations are discussed.