The asymptotic behaviors of a stage-structured autonomous predator-prey system with time delay

In this paper, we consider an autonomous predator-prey Lotka-Volterra system in which individuals in the population may belong to one of two classes: the immatures and the matures, the age to maturity is represented by a time delay. By using eigenvalue analysis, principal term analyze method, reduction to absurdity, and iterative method, we obtain some simple conditions for global asymptotic stability of the unique positive equilibrium point. Moreover, a condition that the prey population in the system get extinction and the predator population in the system get permanence will be obtained. Meanwhile the theorems extend the corresponding conclusions in which there have no two stage structures.     

一种快速余弦变换在心电图数据压缩中的应用

用离散余弦变换(DCT)的一种快速算法按“方差准则”实现心电图(ECG)数据压缩.这种算法减少了乘法次数且结构简单.采用分段变换的方法,能有效地进行心电图数据压缩.     

用有效势方法讨论汤川核力场中圆轨道的稳定性

以汤川核力场为例，说明用有效势方法讨论有心力场中圆形轨道的稳定性，数学处理比较简明，物理图象也比较清晰。进而指出非径向微扰引起的速度矩变化对稳定圆轨道半径ｒ＿０的影响，导出两者变化的数量关系，说明在汤川核力场中维持稳定圆运动对微扰量所加的限制。     

An interior trust region algorithm for solving linearly constrained nonlinear optimization

In this paper, an interior point algorithm based on trust region techniques is proposed for solving nonlinear optimization problems with linear equality constraints and nonnegative variables. Unlike those existing interior-point trust region methods, this proposed method does not require that a general quadratic subproblem with a trust region bound be solved at each iteration. Instead, a system of linear equations is solved to get a search direction, and then a linesearch of Armijo type is performed in this direction to obtain a new iteration point. From a computational point of view, this approach may in general reduce a computational effort, and thus improve the computational efficiency. Under suitable conditions, it is proven that any accumulation of the sequence generated by the algorithm satisfies the first-order optimality condition.     

动态模糊随机信息处理的数学方法

本文系统地概述了我们近年来提出的动态模糊随机信息处理的数学方法,内容包括模糊随机变量、模糊随机过程和模糊随机微分方程的基本解法等方面的基本概念、基本定义和某些重要的定理,以及动态系统的模糊随机响应与可靠性分析的方法等。这些方法是为我们研究工程实际问题的需要逐步发展起来的,对于处理某些类型的问题简便实用。     

新型延缓交联体系

用氧氯化锆和柠檬酸钠反应制得一种新型的延缓交联的交联剂──柠檬酸锆。用正交设计和粘度法得到了制备柠檬酸锆的最佳条件，即：氢氯化锆与柠檬酸钠的摩尔比为２：１．ｐＨ值为７．试验结果表明，柠檬酸锆可以延缓锆对聚丙烯酰胺、瓜尔胶、羟甲基瓜尔胶、羟乙基瓜尔胶、羟丙基瓜尔胶的交联速度。交联速度随聚合物浓度、柠檬酸锆对聚合物的质量比、温度、水的矿化度的增加而增加．柠檬酸锆对ＰＡＭ通过羧基交联，对瓜尔胶通过羟基交联。     

原子光谱线变宽的因素分析

分别从经典理论和量子理论的不同角度论述了使原子光谱线变宽的各种主要因素:由于能量的不确定关系导致的自然致宽;多普勒致宽;碰撞致宽;因碰撞过程中原子能级变化而导致的压力致宽、场致宽等.通过分析,阐明了实际光谱线与理想光谱线的不同及其原因.     

Structure–electrical property study of anisotropic polyaniline films

The relationships of the structure and electrical properties of anisotropic HCl‐doped polyaniline (PANI) films cast from N,N′‐dimethylpropylene urea (DMPU) solutions and stretched to different draw ratios were studied. The anisotropic structure of the stretched PANI films was examined by X‐ray diffraction, near‐infrared wave‐guide coupling, and polarized infrared measurements. The PANI emeraldine base (EB) films cast from DMPU solutions had a single‐phase noncrystalline structure, and stretching of the films did not cause crystallization to occur. The transition moment angles of two weakly absorbing infrared bands were determined, and the Hermans' orientation functions for the PANI EB films were calculated. The PANI films were then doped with HCl, and the electrical properties were determined by impedance spectroscopy. With a specially designed test fixture, the in‐plane and through‐plane impedance was obtained. The conductivity along the stretch direction increased with orientation. The in‐plane conductivity was significantly higher than the through‐plane conductivity. © 2003 Wiley Periodicals, Inc. J Polym Sci Part B: Polym Phys 41: 823–841, 2003     

Two long-standing problems in Tsallis’ statistics

On the basis of Tsallis’ entropy and the joint probability factorization condition, two controversial problems existing in Tsallis’ statistics are investigated, where one is whether energy is extensive or not and the other is whether it is necessary to introduce the so-called generalized zeroth law of thermodynamics or not. The results obtained show clearly that like entropy, energy is also nonextensive in Tsallis’ statistics, and that the zeroth law of thermodynamics has been implicitly used in Tsallis’ statistics since 1988. Moreover, it is expounded that the standard energy additivity rule adopted by a great number of researchers is not suitable in Tsallis’ statistics, because its corollary is in contradiction with the zeroth law of thermodynamics.     

“场所に……”与“场所で……”之异同

格助词“に、で、”都可表地点场所,但接续方法及意义不尽相同.“に”主要表示状态、动作的存在点、作用点,表存在性语义特征,具有静态性、结果性、描写性特点,与此对应,其后续的动词多是具有存在性语义特征的动词.而“で”主要强调动作进行的场所,表动作性语义特征,具有动态性（动作性）和非固定性特点,与此对应,其后续的动词多是具有动作性语义特征的动词.