A RIS treatment of the mean-square dipole moment of PMMA chains in consideration of the pendant ester group orientations

According to the six-state scheme proposed by Vacatello and Flory, the mean-square dipole moments 〈M²〉/x (x: number of monomeric units) of poly(methyl methacrylate) (PMMA) chains and their temperature dependence were calculated by the matrix algebra method of rotational isomeric state theory. To take account of the orientation effect of polar ester groups, the statistical weight matrices, U′ and U″, were recast into an expanded form. A Bernoullian probability λ introduced to measure the preference between the two alternative orientations (χ=0 and χ=π) of the side ester groups was found to give rise to a large effect on the mean-square dipole moment of polymers. When the skeletal bonds of a meso dyad are both in trans, an exceptionally strong dipole-dipole interaction may take place. If the two adjacent ester groups adopt the same orientation, the dipoles must be situated nearly parallel to each other in a close proximity. Such repulsive interactions may be alleviated by taking a staggered conformation, i.e. (χ,χ′)=(0,π) or (π,0). Such neighbor-dependent correlation inherent to the meso dyad is considered by assigning a parameter λ′ to the proper element of the U_m″ matrix. The values of 〈M²〉/x observed at 30 °C were satisfactorily reproduced by adopting λ=0.270 and λ′=0.865. The thermal coefficients were found to be reconciled with the available experimental data by allowing the orientation parameters λ and λ′ to be slightly temperature dependent. The stereochemical characteristics of the chain terminals were examined in order to extend the treatment to include the dipole moment of PMMA oligomers.     

C*-代数中Moore-Penrose逆及Bott-Duffin逆的扰动分析

设A为C*-代数,a,-a=a δa∈A并且a 存在,‖a ‖‖δa‖<1。定义-a是a的稳定扰动,当且仅当-aA∩(1-aa )A={0}。此时-a 存在,并且‖-a ‖的上界被给出。对于B-D广义逆a p,在给出一般表达式的前提下,对于一类具有“p-零”性质的B-D广义逆,得到了‖-a p‖的一个上界。     

The generalized Riemann problem method for the shallow water equations with bottom topography

This paper extends the generalized Riemann problem method (GRP) to the system of shallow water equations with bottom topography. The main contribution is that the generalized Riemann problem method (J. Comput. Phys. 1984; 55 (1):1–32) is used to evaluate the midpoint values of solutions at each cell interface so that the bottom topography effect is included in numerical fluxes, and at the same step the source term is discretized with an interface method in which only mid‐point values are plugged in. This scheme is well balanced between the flux gradient and bottom topography when incorporating the surface gradient method (SGM) (J. Comput. Phys. 2001; 168 (1):1–25) into data reconstruction step, and it is also suitable for both steady and unsteady flow simulations. We illustrate the accuracy of this scheme by several 1‐D and 2‐D numerical experiments. Copyright © 2005 John Wiley & Sons, Ltd.     

通用网在模拟无序信息传输中的应用

传输信息常涉及到不同的难题。当保护信息免受非控制访问时，一个新的似然性可能得以应用，即无序。由于在安全通信中实施无序的兴趣日见增加，已经提出许多设计方案。本文提出了建立非线性动态无序系统模型的方法，并进行了通用网的设计与访真。     

Improved estimation of defocus blur and spatial shifts in spatial domain: a homotopy-based approach

This paper presents a homotopy-based algorithm for the recovery of depth cues in the spatial domain. The algorithm specifically deals with defocus blur and spatial shifts, that is 2D motion, stereo disparities and/or zooming disparities. These cues are estimated from two images of the same scene acquired by a camera evolving in time and/or space. We show that they can be simultaneously computed by resolving a system of equations using a homotopy method. The proposed algorithm is tested using synthetic and real images. The results confirm that the use of a homotopy method leads to a dense and accurate estimation of depth cues. This approach has been integrated into an application for relief estimation from remotely sensed images.     

基于广义模糊双曲正切模型的自适应控制器

针对一类非线性函数未知的非线性离散系统，提出一种新的基于广义模糊双曲正切模型的参考模型自适应控制器设计方法，并利用Lyapunov稳定性理论证明了该控制器是全局渐近稳定的．仿真例子证明了该方法的有效性．     

混沌Lorenz系统延迟反馈控制的机理分析

利用广义Hamilton系统理论的Melnikov方法,严格分析了延迟反馈方法控制混沌Lorenz系统到周期解的机理,揭示了延迟时间与控制混沌的关系.延迟反馈项实际上是一个作用明显的扰动项,通过选择合适的参数,使得系统的稳定流形与不稳定流形不再横截相交,Smale意义下的混沌受到抑制,将Lorenz混沌系统引导到各种不同的周期轨道;可见,延迟时间关系到控制扰动量的大小,但不必是混沌吸引子内嵌不稳定周期轨道的周期整数倍.另外,通过数值仿真,其结果与理论分析相符,从而表明了该分析方法的有效性.     

广义稳态的工业过程及其优化控制

阐述了工业过程中出现的拟周期和混沌等动态行为，并分析了形成的原因和条件．介绍了与之密切相关的非线性科学中的混沌、微分动力学系统以及遍历论等理论，综述了工业过程的广义稳态优化控制的研究成果、理论意义和实用价值及其发展方向．     

关于Poisson分布高阶矩的几个定理的推论

本文对笔者曾撰文〔1〕推出的 Poisson分布高阶矩的几个定理作进一步的研究 ,给出几个推论。     

广义逆的计算与最小二乘估计

给出了某些广义逆的计算方法,将这些结果应用于观测系统的参数估计,给出了系统无加权和加权最小二乘的最新估计结果,推广了[1]的工作,同时简化了[2]中求多个相容矩阵方程公共解的算法。