曲线拟合问题的空间理论基础

曲线拟合问题至今尚未确立精确度概念．本文利用泛函分析理论，确立了曲线拟合问题的空间理论基础，给出了曲线拟合间题的精度概念和构造满足指定精度要求的拟合曲线的方法．     

数列极限的“反话”教学

本文探讨了数列极限的“反话”教学,并以实例严格地纠正学生经常出现的错误.     

媒介融合背景下函授教学实施的挑战与机遇

网络时代媒介融合在知识的组织与传播方面的碎片化、扁平化等特点对函授教学实施有着深刻的影响,这种影响使得函授教学实施的三个环节都产生了新的特点,如学习时间碎片化、自学方式个性化、考核形式多样化、考核内容情境化、考核组织人性化、教学内容问题化、内容组织短小化、辅导过程互动化等。媒介融合对函授教学实施的一线教师与管理者都带来了不同程度的挑战,同时也为教师教育教学水平的提升,为函授站点、主办高校核心竞争的提升带来了机遇。     

Teaching databases in compliance with the European dimension of higher education: Best practices for better competences

The Convergence process in which European Union (EU) universities are at present involved supposes that these institutions not only have to re-structure their degree programmes, but also their teaching and learning methodologies. We study the impact of this EU process on Database teaching, comparing the practices of three different European universities and using the Convergence goals as criteria. In our discussion, we identify which aspects in each university are closer to the Convergence goals, and which are likely to help in achieving these goals.     

一类包含Riemann Zeta函数的求和公式及其估值

本文给出了一类包含Riemann Zeta函数的求和计算公式及其估值.     

Adaptive terminal sliding mode control for high-order nonlinear dynamic systems

An adaptive terminal sliding mode control (SMC) technique is proposed to deal with the tracking problem for a class of high-order nonlinear dynamic systems. It is shown that a function augmented sliding hyperplane can be used to develop a new terminal sliding mode for high-order nonlinear systems. A terminal SMC controller based on Lyapunov theory is designed to force the state variables of the closed-loop system to reach and remain on the terminal sliding mode, so that the output tracking error then converges to zero in finite time which can be set arbitrarily. An adaptive mechanism is introduced to estimate the unknown parameters of the upper bounds of system uncertainties. The estimates are then used as controller parameters so that the effects of uncertain dynamics can be eliminated. It is also shown that the stability of the closed-loop system can be guaranteed with the proposed control strategy. The simulation of a numerical example is provided to show the effectiveness of the new method. Project supported by the National Outstanding Youth Science Foundation of China (NSFC:69725005) and the Zhejiang, Provincial Natural Science Key Foundation of China (ZD9905)     

混沌优化方法的改进及其收敛性分析

针对混沌优化方法存在的问题提出了一种改进方法。在神经网络训练问题中的应用表明 ,改进的混沌优化方法对复杂优化问题搜索效率更高 ,效果更好。对算法的全局渐进收敛性分析说明 ,算法具有全局渐近收敛性     

微分方程解的唯一性定理的再证明

在文[1]的基础上运用序列的一致收敛性及两个区间相合的概念再给出微分方程解的唯一性定理的三种证法．     

关于和函数分析性质的几个问题的讨论

通过反例说明了一致收敛是和函数分析性质的充分而非必要条件,由此看出在数学分析教学中合理恰当地运用反例会收到很好的教学效果;同时给出和函数连续性的三种等价形式,而且在使用时,各有好处,最后给出判断一个函数项级数非一致收敛的判别法.     

关于数列a_n=(1 (n/1))~n收敛的几种证明构建

本文对数列an＝（1＋）n收敛的证明分别用平均值不等式法,贝努力不等式法以及两个特殊不等式共四种方法给出证明。