Gamma型算子的收敛速度

对Gamma算子的变形，得到新的Gamma型算子．证明了新的Gamma型算子对导数是有界变差函数的逼近，得到了其点态逼近速度．     

产业融合对信息产业规制政策的影响

首先分析发达国家信息产业的产业融合现象,在此基础上探讨产业融合对信息产业规制体制的影响,最后研究信息产业的规制改革。     

多种方法巧妙计算积分integral from n=0 to +∞((sinx/x)dx)

通过二重积分、含参变量无穷积分、黎曼引理、傅立叶级数展开及复变函数中利用留数计算实积分integralfromn=0to+∞((sinx/x)dx)     

Analysing the differential impact of the Bologna Process: Theoretical considerations on national conditions for international policy convergence

Although there is a growing interest of policy makers in higher education issues (especially on an international scale), there is still a lack of theoretically well-grounded comparative analyses of higher education policy. Even broadly discussed topics in higher education research like the potential convergence of European higher education systems in the course of the Bologna Process suffer from a thin empirical and comparative basis. This paper aims to deal with these problems by addressing theoretical questions concerning the domestic impact of the Bologna Process and the role national factors play in determining its effects on cross-national policy convergence. It develops a distinct theoretical approach for the systematic and comparative analysis of cross-national policy convergence. In doing so, it relies upon insights from related research areas—namely literature on Europeanization as well as studies dealing with cross-national policy convergence.

迫敛性的一些推广

首先将数列极限与函数极限的迫敛性定理依据Cauchy准则进行了推广，其次将迫敛性定理推广到了广义积分、数项级数、函数项级数与含参变量的无穷积分．     

Solving convex quadratic programming by potential-reduction interior-point algorithm

The solution of quadratic programming problems is an important issue in the field of mathematical programming and industrial applications. In this paper, we solve convex quadratic programming by a potential-reduction interior—point algorithm. It is proved that the potential—reduction interior-point algorithm is globally convergent. Some numerical experiments were made.     

四阶杆振动方程隐式辛格式的迭代解法

对四阶杆振动方程uu uxxxx=0构造了一个以tanh(x)为基础的隐式辛格式，然后对此格式建立了一种选代解法，并讨论了此迭代解法的收敛条件，数值例子表明：文章所给出的迭代解法是有效的，理论分析与实际计算相吻合。     

空间解析几何中的三垂线定理

本文中利用空间坐标和空间向量把立体几何中的"三垂线定理"推广到空间解析几何中,并证明。     

Lebesgue判别法蕴含Jordan判别法

本文证明了判别傅里叶级数的Lebesgue判别法蕴含Jordan判别法.     

一种变步长LMS自适应滤波算法及分析

讨论了变步长自适应滤波算法,给出了一种新的变步长LMS自适应算法,建立了步长因子μ与迭代次数n及输入信号之间的一种新的非线性函数关系。该算法与传统LMS算法相比,在计算量增加不太大的情况下,具有更快的收敛速度和较小的稳态误差,而且无须去关心步长因子的大小。通过Matlab模拟仿真的结果与理论分析相一致,证实了该算法的优越性。