基于遗传进化的聚类分析新方法

提出了一种基于遗传进化策略的聚类分析新方法，将聚类问题转换为实数空间的优化问题．用遗传策略在连续的实数空间寻找最优类中心，既可避免求解组合优化问题，减少计算量，又可避免在优化过程中陷入局部最优．此遗传聚类方法用于对4组实际数据进行硬分类和模糊分类，结果令人满意．     

A discrete velocity model of a gas: Global in time solutions of the BBGKY hierarchy

In the present paper we study the evolution of a system of hard disks moving in the plane with a finite number of velocities as in the framework of a discrete velocity model of the Enskog equation, proposed in previous papers. Starting from the BBGKY hierarchy of such a system we give existence and uniqueness results for the initial value problem in suitable Banach spaces. In particular, the main result presented is the global in time weak solution to the BBGKY hierarchy for local equilibrium initial data, in the thermodynamic limit.     

疲劳损伤演化方程约束条件的探讨

本文着重讨论疲劳损伤演化方程应满足的条件,指出损伤演化方程不仅必须遵循热力学准则,还应满足一定的物理条件.如果忽略了这一点,可能导致严重的误差,并造成很大的分散性.     

Asymptotic distribution of some quadratic functionals of linear stochastic evolution systems

A function space asymptotic distribution of quadratic functionals induced from an unknown system is obtained in terms of a multi-dimensional Wiener process where the control is a linear transformation of the state that depends smoothly on the unknown parameters. The result is easily specialized to the asymptotic distribution of the family of random variables formed as the upper limit of the integrals of the quadratic terms is varied.The result provides a measure of the dependence of such a quadratic functional on a family of strongly consistent estimates of the unknown parameters, and in some cases it provides an interesting contrast with the case of all known parameters. In this paper, it is shown that, for some linear stochastic evolution systems, there are special feedback control laws where the variance of the asymptotic normal distribution of the average costs is less for the control law based on the estimates of the parameters than for the control law based on the true parameter values. This phenomenon does not occur if the feedback control laws are optimal stationary controls.This research was supported by NSF Grants Nos. ECS-87-18026 and ECS-9113029.The author thanks Professor Alain Benssousan for his great hospitality in INRIA, where this paper was written, and Professors Tyrone Duncan, Pravin Varaiya, and the anonymous reviewer for their very useful comments.     

再谈含时Schrdinger方程的求解方法

介绍了线性耦合含时量子系统厄米不变量算符的构造方法，并运用Ｌｅｗｉｓ－Ｒｉｅｓｅｎｆｅｌｄ量子不变量理论得到了一些含时薛定谔方程的精确解．同时也给出了系统时间演化算符的构造方法     

析氢反应动力的交流阻抗法研究

利用交流阻抗法测定析氢电化学动力参数，得到与极化曲线法一致的结果，为确定复杂析氢过程速决定步骤提供了判据。     

Approximate Controllability for a Class of Abstract Second-Order Functional Evolution Equations

Results providing sufficient conditions for the approximate controllability of a class of second-order abstract functional evolution equations governed by the generator of a strongly continuous cosine family of linear operators, together with nonlocal initial conditions, are developed. This work extends results included in recent work by Naito, Park, Zhou, and others. The abstract theory is then applied to a parabolic partial integrodifferential equation.     

一般变换下的Jacobi椭圆函数展开法及应用

将在行波变换下的Jacobi椭圆函数展开法推广到范围非常广泛的一般函数变换下进行，利用这一方法求得了一些非线性发展方程的精确周期解，这些解包括了在行波变换下所求得的周期解. 证明了一些非线性发展方程的周期解一定是行波解. 关键词： 非线性发展方程 周期解 行波解 Jacobi椭圆函数     

Structural Evolution of a Formamide Modified Sol—Spectroscopic Study

We investigated the influence of formamide on the acid-catalyzed sol-gel process at 40°C, by Fourier transformed infrared spectroscopy. Two silica sols were studied: one containing formamide and one without. Following the time evolution of both the Si−O(H) stretching vibration at around 950 cm⁻¹ and the Si−O(−Si) vibration between 1080 and 1200 cm⁻¹, we were able to describe the structural evolution of each sol. We thus observed, in the case of the formamide containing sol, a peculiar two-step structural evolution which eventually resulted in a highly interconnected gel.     

氢气在贮氢合金电极上析出反应机理的研究

贮氢合金电极上氢气的析出反应分为水分子的放电和吸附氢原子复合脱附两个步骤，即反应按Ｖｏｌｍｅｒ－Ｔａｆｅｌ机理进行，反应的超电势η可以区分为η１和η２两个组成部分，反映了Ｖｏｌｍｅｒ和Ｔａｆｅｌ反应的极化特征。析氢反应的速度由二者混合控制，在高超电势区，主要则由Ｖｏｌｍｅｒ反应所控制。