关于一个矩阵迹的不等式的注记

本文修正了［２］中的一个矩阵迹的不等式的一些错误，证明了ｔｒ［（Ａａ一Ｂａ）（Ａ一β一Ｂβ）］＜０当且仅当αβ＞０且Ａ≠Ｂ，ｔｒ［（Ａａ－Ｂａ）（Ａ－β－Ｂ－β）］＞０当且仅当αβ＜０且Ａ≠Ｂ，这里Ａ，Ｂ是ｎ×ｎ的Ｈｅｒｍｉｔｅ正定矩阵．     

广义Brandt半群结构定理的新证明

本文对一类重要的纯正半群－－广义Ｂｒａｎｄｔ半群的结构定理，给出了一个简捷的新证明。     

A Class of Linear Biased Estimators of Regression ParameterMatrix in the Growth Curve Model

ＡＣｌａｓｓｏｆＬｉｎｅａｒＢｉａｓｅｄＥｓｔｉｍａｔｏｒｓｏｆＲｅｇｒｅｓｓｉｏｎＰａｒａｍｅｔｅｒＭａｔｒｉｘｉｎｔｈｅＧｒｏｗｔｈＣｕｒｖｅＭｏｄｅｌ￥ＧｕｉＱｉｎｇｍｉｎｇ（ＺｈｅｎｇｚｈｏｕＩｎｓｔｉｔｕｔｅｏｆＳｕｒｖｅｙｉｎｇａｎｄＭａ...     

线性模型参数矩阵的二次型的经验Bayes估计的收敛速度

本文构造出正态线性模型误差协差阵的逆矩阵的二次型的经验Ｂａｙｅｓ（ＥＲ）估计，在一定条件下证明了这种ＥＢ估计的收敛速度可任意接近于１．最后，给出了一个实例．     

Ar＋TlF体系的转动非弹性散射

本文用一种新的方法求解A+BC体系的转动非弹性散射问题,即在径向耦合方程的势能耦合项中只取对角项,并用Morse势拟合Lennard-Jones势,从而可得去耦合径向方程的两个解集。渐近分析表明,此两个解集分别相应于入射波和出射波。将总波函数按总角动量的本征函数展开,展开系数为常数乘以上述得到的径向函数。再将总波函数代入Schrdinger方程,则可得到散射矩阵。计算结果表明,本法比IOS法更接近CC法,但计算量比后者少得多,且方法严谨。     

Flavour democracy calls for the fourth generation

It is argued with the help of an illustrative model, that the inter species hierarchy among the fermion masses and the quark mixing angles can be accommodated naturally in the standard model with (approximate) flavor democracy provided there are three exactly massless neutrinos and four families of sequential quark-leptons with all members of the fourth family having roughly equal masses. The special problem of light neutrino masses (if any) and possible solutions are also discussed.     

关于对称矩阵的β-性质

本文讨论了一个在对称矩阵计算中有用的概念:β-性质.给出了对称矩阵具有β-性质的一个充分必要条件，以及在对称矩阵A具有β-性质时，其常数β的确定.     

The MacLaurin expansion for a G/G/1 queue with Markov-modulated arrivals and services

Consider a Markov-modulated G/G/1 queueing system in which the arrival and the service mechanisms are controlled by an underlying Markov chain. The classical approaches to the waiting time of this type of queueing system have severe computational difficulties. In this paper, we develop a numerical algorithm to calculate the moments of the waiting time based on Gong and Hu's idea. Our numerical results show that the algorithm is powerful. A matrix recursive equation for the moments of the waiting time is also given under certain conditions.     

Structure-property relationships in a reactively coupled ductile matrix/brittle dispersed phase blend

Blends of t-butylaminoethyl methacrylate grafted polyethylene (PE-g-tBAEMA) with methyl methacrylate-methacrylic acid copolymer (PMMA-MAA) and polymethyl methacrylate (PMMA) were prepared in a Banbury type batch mixer. The effects of component proportions and processing conditions on the melt flow index, morphology, impact, and tensile properties of the resulting polymer blends were investigated. The interfacial chemical reaction was studied using Fourier transform infrared (FTIR) technique. It was observed that the melt index of the blends was reduced with increasing melt processing temperature and mixing time, indicating the formation of PE-g-PMMA block copolymer. New IR bands at 1554, 1628, 1800, and 1019 cm^?1 were observed only for PE-g-tBAEMA/PMMA-MAA, the reactive blends, but not for PE-g-tBAEMA/PMMA, the nonreactive blend. These IR bands were attributed to the amide, carboxylate anion and methacrylimide formation resulting from the chemical reaction between the secondary amine on the PE-g-tBAEMA/PMMA moiety and the carboxylic acid on PMMA-MAA segment. The morphology of the blends in various compositions was examined using scanning electron microscopy (SEM) and related to their mechanical properties. All of the blends have a domain structure whose morphology is strongly dependent on the concentration of the dispersed phase. Furthermore, the PE-g-tBAEMA/PMMA-MAA reactive blends were shown to have much finer morphology than the corresponding nonreactive blends. For the reactive polymer blends consisting of brittle particles dispersed in the ductile matrices, the PE-g-tBAEMA/PMMA-MAA, impact and tensile result higher than predicted by the additivity rule were observed. The toughening of polyethylene by PMMA was explained by a “cold-drawing” mechanism. The Young's modulus of the blends and the extent of interfacial adhesion were analyzed with Takayanagi and Sato-Furukawa's theories. © 1993 John Wiley & Sons, Inc.     

Direct and inverse multichannel scattering problems

We consider small oscillations of a system of pairwise interacting particles in an external field near a stable equilibrium. The system is assumed to consist of finitely many channels, i.e., semi-infinite linear chains of particles, attached to a scatterer, which is a finite system of interacting particles. Direct and inverse scattering problems are considered. In particular, an algorithm finding characteristics of the channels on the basis of scattering data is given.