非相对论短波长激光的1/3分频共振及其摄动解

在牛顿力学框架内和小振幅近似下,把非相对论粒子在时空周期场中的运动方程化为含有阻尼项和受迫项的Duffing方程.利用多尺度法分析了系统的1/3分频共振；利用Poincare方法讨论了系统的稳定性；找到了系统的临界条件；揭示了共振曲线的后弯现象；讨论了系统的跳跃现象.结果表明,系统的临界条件与它的物理参数有关,只需适当...     

基于本体的CBR及其在旅游产品智能推荐系统的应用研究

针对传统CBR存在的案例库难以扩展,表述词表不统一等异构问题,将本体技术引入CBR,对推理系统结构进行了分析设计.研究基于本体CBR的旅游产品案例表示方法,以及案例检索策略.并将该系统应用于旅游产品智能推荐过程中.实验证明该推理系统能有效地提高CBR中案例的查全率,提高旅游产品智能推荐的推荐精度.     

量子力学中几个基本概念的教学

探讨了量子力学中几个基本概念的教学问题     

基于非线性变换的图表示优化

优化是模式识别系统中必不可少的组成部分,优化的效果在一定程度上决定最终的识别结果.本文针对图表示的模式识别系统,提出了基于非线性函数的优化方法,使图表示模式识别更符合可视化与交互式原则.     

Study on the System Design of Multiple Expert Systems Integrated Decision Support System

There has been an increasing interest in integrating decision support systems (DSS) and expert systems (ES) to provide decision makers a more accessible, productive and domain-independent information and computing environment. This paper is aimed at designing a multiple expert systems integrated decision support system (MESIDSS) to enhance decision makers' ability in more complex cases. The basic framework, management system of multiple ESs, and functions of MESIDSS are presented. The applications of MESIDSS in large-scale decision making processes are discussed from the following aspects of problem decomposing, dynamic combination of multiple ESs, link of multiple bases and decision coordinating. Finally, a summary and some ideas for the future are presented.     

Cn中具逐块光滑边界的有界域上的一个积分表示

为建立Cn空间中具有逐块光滑边界的有界域上的一个抽象的积分公式.主要利用积分表示理论中构造新的单位分解和新的积分核的方法.得到了具有逐块光滑边界的有界域上Cauchy-Leray公式和Cauchy-Fantappiè公式的一种拓广形式,这个公式的特点是新的积分核中含有一系列向量函数以及实参数.由这个拓广的积分公式,当适当选取其中的实参数以及向量函数时,可以得到Cn空间中许多已有的积分公式及它们的各种拓广形式.由这个拓广的积分公式可得到文献[1,2]中的全部结果.     

Representation of 3D Woven Structures by Parametric Method

A parametric method is developed to quantitatively represent the microstructure of 3D woven structures. Different binding patterns, such as angle interlock and orthogonal interlock with through-thickness or layer-to-layer bindings, are classified. A unit cell of 3D woven structure is defined with four constituent yarn systems represented by nine structural parameters. A mapping relationship between the 3D woven structure and corresponding representative parameters is thus established. The study indicates that four out of the nine parameters are necessary to represent a 3D woven structure with an angle interlock binding, and that five parameters are required to describe a 3D woven structure with an orthogonal interlock binding. Once the structural parameters are determined, the pattern of 3D woven structures can be unambiguously identified, and vice versa. In addition to the purpose of structure presentation, the method can be further used as a means for designing 3D woven structure to meet the performance requirements of 3D woven composites.     

复数的历史发展及在中国早期的传播

目的分析复数的历史发展进程,澄清复数在中国的早期传播过程。方法运用文献考证、历史分析和比较研究的方法对复数的发展进行研究。结果复数起源于代数方程求解,随着函数概念与微积分的发展而得到发展,并通过其几何表示最终为人们所接受。随着西学东渐,19世纪中期复数被引入中国。结论复数的产生是人们传统思想上的一次真正的变革,它表现为理性和理想之间的某种神秘结合,反映了自由创造领先于形式化和逻辑基础的一种一般现象,其接受过程艰难曲折。复数的引入促进了中国现代数学的发展。复数在物理学、电工学等其他领域的应用须进一步研究。     

一类新的孤子方程族的换位表示

利用谱梯度方法，首先给出谱问题（１）的Ｌｅｎａｒｄ算子对，由此获得一类新的孤子方程族。之后，通过求解一个关键性算子方程，得到此类孤子方程族的换位表示     

Short communication Approximate merging of multiple Bézier segments

This paper deals with the approximate merging problem of multiple adjacent Bezier curves with different degrees by a single Bezier curve, which is a frequently seen problem in modeling. The unified matrix representation for precise merging is presented and the approximate merging curve is further derived based on matrix operation. Continuity at the endpoints of curves is also discussed in the merging process. Examples show that the method in this paper achieves satisfying merging results.