Likelihood analysis of spatial inhomogeneity for marked point patterns

An objective method is developed for estimations of both spatial intensity of the point locations and spatial variation of a characteristic parameter of the distributions for the attached marks. Its utility is demonstrated by means of analyses of seismological and ecological data sets.     

中国综合时号改正数系统世界时中短周期项的检测

为了检测中国综合时号改正数系统世界时中的潮汐短周期项,本文应用中国《授时年报》和《BIH年报》的有关资料,归算得到一个1967—1978年期间中国时号改正数系统中世界时的连续序列。然后用自相关功率谱分析检测这个序列中的短周期项,没有发现这些项的存在。进一步用互相关功率谱分析检验这个序列,也证实了同一结论。作为对照,用自相关功率谱分析检测短周期项的理论值序列和BIH的世界时序列,都得到了显著的短周期项功率谱。看来测时处理中的过度平滑是导致这一结果的原因。因此,建议在平滑测时结果时,选取合适的平滑因子,减弱平滑强度,以保留短周期项。     

基于估计共振峰走向的汉语韵母识别方案

本文提出了一个基于估计共振峰走向的汉语韵母识别方案。实验中利用倒频谱的性质对语音的短时谱进行同态平滑处理,分析了复合韵母共振峰走向现象与语音学理论的一致性。根据频谱分析的结果建立了一个以共振峰走向为识别模型的韵母识别系统。对10位发音人的860个韵母(单韵母、双元音和三元音韵母)发音进行识别测验,平均识别率达到88.1%。本文为复韵母的不认人识别提供了一种合理的方法。     

Global Linear and Quadratic One-step Smoothing Newton Method for P 0-LCP

We propose a new smoothing Newton method for solving the P ₀-matrix linear complementarity problem (P ₀-LCP) based on CHKS smoothing function. Our algorithm solves only one linear system of equations and performs only one line search per iteration. It is shown to converge to a P ₀-LCP solution globally linearly and locally quadratically without the strict complementarity assumption at the solution. To the best of author's knowledge, this is the first one-step smoothing Newton method to possess both global linear and local quadratic convergence. Preliminary numerical results indicate that the proposed algorithm is promising.     

On the Haefliger-Hirsch-Wu invariants for embeddings and immersions

We prove beyond the metastable dimension the PL cases of the classical theorems due to Haefliger, Harris, Hirsch and Weber on the deleted product criteria for embeddings and immersions. The isotopy and regular homotopy versions of the above theorems are also improved. We show by examples that they cannot be improved further. These results have many interesting corollaries, e.g.? 1) Any closed homologically 2-connected smooth 7-manifold smoothly embeds in .? 2) If and then the set of PL embeddings up to PL isotopy is in 1-1 correspondence with?. Received: July 6, 2000     

内蒙古伊盟某旗劳动力、粮食总产量的预测

该文利用指数平滑、一无二元线性回归法对我国内蒙古自治区某旗的人口、劳动力和农业总产量进行了预测,作者还进行了效果检验;这是一份比较完善的预测计算成果,对实际进行预测计算和教学工作都有一定的参考价值.     

求解非线性互补问题的一种修正的光滑Newton法

针对非线性互补问题,给出了一种修正的光滑Newton法,该方法不仅放宽了对函数F的要求,而且光滑因子的选择形式简单．在适当的条件下,证明了该算法具有全局收敛性．     

Forecasting item-level demands: an analytical evaluation of top-down versus bottom-up forecasting in a production-planning framework

Rajesh Piplani School of Mechanical and Aerospace Engineering, Nanyang Technological University, Singapore 639798, Republic of Singapore Email: vish{at}pmail.ntu.edu.sg Received on 12 January 2007. Accepted on 19 November 2007. We compare the performance of top–down (TD) and bottom–up(BU) strategies for forecasting the demand of an item that belongsto a product family. The TD strategy forecasts the sum of theitem demands and distributes it to the individual item basedupon the historical demand proportion of each item in the family.The BU strategy forecasts each item demand individually usingthe historical demand data for the particular item. All theitem demands, which may be correlated with each other, are assumedto follow a first-order univariate moving average process. Asis common in a production-planning environment, the forecastingunder both strategies is carried out using the exponential smoothingtechnique. We show that the performance of the two forecastingstrategies is nearly identical, regardless of the coefficientof correlation between the item demands, the items' proportionin the family and the coefficient of the serial correlationterm of the demand process. We further investigate the relativeperformance of the two strategies when a fixed (rather thanthe optimal) smoothing constant is used for forecasting thedemand under both strategies.     

A note on economic equilibrium and financial networks

Nagurney （1999） used variational inequalities to study economic equilibrium and financial networks and applied the modified projection method to solve the problem. In this paper, we formulate the problem as a nonlinear complementarity problem. The complementarity model is just the KKT condition for the model of Nagurney （1999）. It is a simpler model than that of Nagurney （1999）. We also establish sufficient conditions for existence and uniqueness of the equilibrium pattern, which are weaker than those in Nagurney （]999）. Finally, we apply a smoothing Newton-type algorithm to solve the problem and report some numerical results.     

光波导器件应用及其表面光滑化研究综述

光波导器件在许多领域都有着广泛的应用和良好的发展前景。而波导器件表面粗糙度影响传输光损耗和环形腔Q值,制约光波导器件的发展和应用。目前常用波导器件表面和侧壁光滑化方法有热氧化法、激光束法和氢退火法,其中氢退火法有较好的光滑化效果,但对于氢退火工艺的机理并不清楚,无法进一步优化实验参数,达到最佳实验效果。在对上述内容进行综述的基础上,通过Materials Studio仿真分析,初步研究了退火机理,基于仿真研究结果,分析氢气环境对退火过程的意义,为应用氢退火工艺对波导器件光滑化实验提供理论指导。