作修饰语的"中国"之英译

对"中国"作为修饰语时的广泛使用给予关注,探讨了它的使用规律,并总结和归纳了多种英译表达方式.     

A study on cyclic bandwidth sum

Suppose G is a graph of p vertices. A proper labeling f of G is a one-to-one mapping f:V(G)→{1,2,…,p}. The cyclic bandwidth sum of G with respect to f is defined by CBS _f (G)=∑ _uv∈E(G)|f(v)−f(u)| _p , where |x| _p =min {|x|,p−|x|}. The cyclic bandwidth sum of G is defined by CBS(G)=min {CBS _f (G): f is a proper labeling of G}. The bandwidth sum of G with respect to f is defined by BS _f (G)=∑ _uv∈E(G)|f(v)−f(u)|. The bandwidth sum of G is defined by BS(G)=min {BS _f (G): f is a proper labeling of G}. In this paper, we give a necessary and sufficient condition for BS(G)=CBS(G), and use this to show that BS(T)=CBS(T) when T is a tree. We also find cyclic bandwidth sums of complete bipartite graphs. Dedicated to Professor Frank K. Hwang on the occasion of his 65th birthday. Supported in part by the National Science Council under grants NSC91-2115-M-156-001.     

The robust economic statistical design of the Hotelling's T2 chart

ABSTRACT

Economic statistical designs aim at minimizing the cost of process monitoring when a specific scenario or a set of estimated process and cost parameters is given. But, in practice the process may be affected by more than one scenario which may lead to severe cost penalties if the wrong design is used. Here, we investigate the robust economic statistical design (RESD) of the T² chart in an attempt to reduce these cost penalties when there are multiple scenarios. Our method is to employ the genetic algorithm (GA) optimization method to minimize the total expected monitoring cost across all distinct scenarios. We illustrate the effectiveness of the method using two numerical examples. Simulation studies indicate that robust economic statistical designs should be encouraged in practice.     

关于网络计划技术中结点时间的求解

指出网络计划技术中求解结点时间是网络时间计算的重点．抓住结点，就可突破网络．在笔者多年实践的基础上向读者推荐一有利于读者学习和使用的简易口诀和简图．最后举例加以说明．     

具有迟滞的Volterra方程的周期解分歧条件

本又给出方程其中R，γ，α，β，δ，σ为非负常数，出现周期解分歧现象条件．     

关于三角形内角和定理证明的教法反思

新课程标准的出现，意味着教法坐标体系或者教学深层价值目标的建立．但是在教材与标准之间有如一片广阔的创造地带，它提供给教师前所未有的展示教学智慧的空间，而在创新教法的构想和实施之前，需要对传统教法、新课程标准、教材等有清醒的认识．通过对三角形内角和定理证明教法的剖析，提出了有关新的教学智慧的思考和教学构想．     

国内大中型客车市场需求预测

为从理论上探析大中型客车市场需求问题,运用图表分析法和直线趋势预测法分析了近几年中国大中型客车市场的销售情况和市场特点,同时预测2008年大中型客车的市场需求。分析认为：在公交优先政策的实施、旅游业的快速发展等一系列相关因素影响下,大中型客车市场将稳步发展,但竞争也会日趋激烈。分析结果表明：大中型客车企业应当建立完善的销售网络和售后服务体系,生产适销对路的产品,努力拓展海外市场。     

Inference in the presence of ranking error in ranked set sampling

The author proposes inference techniques for ranked set sample data in the presence of judgment ranking errors. He bases his analysis on the models of Bohn & Wolfe (1994) and Frey (2007a, b), of which parameters are estimated by minimizing a distance measure. He then uses the fitted models to calibrate confidence intervals and tests. He shows the validity of his approach through simulation and illustrates its application through the construction of distribution‐free confidence intervals for the median area of apple tree leaves covered by a spray.     

Monitoring and change-point estimation for spline-modeled non-linear profiles in phase II

In some applications of statistical quality control, quality of a process or a product is best characterized by a functional relationship between a response variable and one or more explanatory variables. This relationship is referred to as a profile. In certain cases, the quality of a process or a product is better described by a non-linear profile which does not follow a specific parametric model. In these circumstances, nonparametric approaches with greater flexibility in modeling the complicated profiles are adopted. In this research, the spline smoothing method is used to model a complicated non-linear profile and the Hotelling T² control chart based on the spline coefficients is used to monitor the process. After receiving an out-of-control signal, a maximum likelihood estimator is employed for change point estimation. The simulation studies, which include both global and local shifts, provide appropriate evaluation of the performance of the proposed estimation and monitoring procedure. The results indicate that the proposed method detects large global shifts while it is very sensitive in detecting local shifts.