符号计算与非线性偏微分方程精确行波解

In this paper, with the aid of the symbolic computation, a further extended tanh function method was presented. Based on the new general ansatz, many nonlinear partial differential equation（s）（NPDE（s）） can he solved. Especially, as applications, a compound KdV-mKdV equation and the Broer-Kaup equations are considered successfully, and many solutions including periodic solutions, triangle solutions, and rational solutions are obtained. The method can also be applied to other NPDEs.     

部分积累制养老保险模式存在问题分析

养老保障制茺是我国基本经济社会制度的重要组成部分，养老保障制度的建立与完善，将对经济社会发展起到积极的促进作用，反之也有可能成为经济社会发展的桎梏。本文首先对部分积累制养老保险模式进行了财务分析，阐述了该养老保险模式存在的主要问题，并提出了相应的解决对策。     

Schrdinger方程单内点精细积分法与差分法比较研究

可用单内点子域精细积分法求解Schrdinger方程初值问题。当单内点精细积分中的传递函数即指数函数用Taylor展开式的一阶近似来替代时,精细积分转化为差分方程。文章研究了这一对应关系。各种常见差分格式均找到了对应的单点精细积分格式,并在单点精细积分一般公式中得到了统一表达式。     

Particles in a Box with One Sticky Wall: From ODE to PDE

Abstract

We present noncompetitive adsorption as “particles in a box with one sticky wall.” We start with a general model that can be modeled as a simple ordinary differential equation (ODE). To verify the ODE students run a computer simulation. The ODE’s solution imperfectly fits the simulation’s data. This leads to the diffusion partial differential equation. We show how to determine the diffusion constant from theory; how to determine how many terms in the Fourier series solution need to be summed; and the use of nonlinear regression. As a bonus, the physics of the model will lead us to a series representation of π.     

具饱和信号传输函数的二元离散神经网络收敛性与周期解的存在性

利用Lyapunov函数和Lasalle不变集原理讨论了一类具标准饱和信号传输函数的二元离散神经网络模型,得到了系统的稳定性和周期解的存在性等相关结论,改进了有关结果.     

Models for Semiordered Data to Address Not Applicable Responses in Scale Measurement

The purpose of this study is to develop and evaluate unidimensional models that can handle semiordered data within scale items (i.e., items with multiple ordered response categories, and one additional nominal response category). We apply the models to scale data with not applicable (NA) responses to compare the model performance to conditions in which NA responses are treated as missing and ignored. We also conduct a small simulation study based on the operational study to evaluate the parameter recovery of the models under the operational conditions. Findings indicate that the proposed models show promise for (a) reducing standard errors of trait estimates for persons who select NA responses, (b) reducing nonresponse bias in trait estimates for persons who select NA responses, and (c) providing substantive information to practitioners about the nature of the relationship between NA selection and the trait of measurement.     

一个偏积分微分方程的数值解

x方向采用有限元法,t方向用拉普拉斯的数值逆,求解一个偏积分微分方程的数值解,简便易行,而且该方法选择适当的求导阶数n可以达到所要求的精度。     

静态变量与静态数据成员

本文从作用域和生命周期的角度解析了静态全局变量、静态局部变量、静态数据成员的含义，指出了它们本质上的特点和区别。     

关于二元函数可微条件的再探讨

给出了较弱条件下的二元函数可微的一个新定理及其证明.     

多变量统计过程控制的现状与展望

统计过程控制是过程监控与故障诊断的方法。在多变量统计过程控制中,传统的方法主要包括主元分析和偏最小二乘,这些方法存在着诸多缺陷。设计时可以应用非线性主元分析、非线性偏最小二乘、动态主元分析、自适应主元分析、多尺度主元分析等方法进行改进。研究中要重视带噪声的监控模型、过程模型信息与经验知识相结合等问题,同时可以把一些新的降维技术用于统计过程控制中。