MS代数的极大同态象

该文找到了MS代数的商代数分别为De Morgan代数、Boole代数及Stone代数的最小同余关系,并借助MS代数的对偶理论,得到了MS代数的极大同态象的对偶表示.     

部分相干源实验研究

 在无阶梯诱导空间非相干光束平滑技术中，用作前端的部分相干源是重要的组成部分。介绍了利用准分子激光进行的部分相干源实验，发现聚四氟乙烯是一种较理想的散射材料。研究了聚四氟乙烯散射源对光束的散射性能，给出了光束均匀性、空间相干性和能量转换效率等参数。     

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     

Smoothing Functions and Smoothing Newton Method for Complementarity and Variational Inequality Problems

This paper provides for the first time some computable smoothing functions for variational inequality problems with general constraints. This paper proposes also a new version of the smoothing Newton method and establishes its global and superlinear (quadratic) convergence under conditions weaker than those previously used in the literature. These are achieved by introducing a general definition for smoothing functions, which include almost all the existing smoothing functions as special cases.     

BCK-数的Fuzzy理想的同态象

本短文论证了 BCK-代数有 sup 性质的 Fuzzy 理想的同态象仍是 Fuzzy 理想,Fuzzy 关联理想的同态象仍是 Fuzzy 关联理想。     

滚齿过程棱面度的解析

本文主要讨论滚齿过程中渐开线与包络切线之间形成的棱面度问题。许多文献都引用了F.Pohl的棱面度公式和图表。但是,Pohl公式简化时,忽略了微量计算中渐开线上两点曲率半径之间的差值,致使该公式的计算误差相当于JB179-83齿形公差的1～2级。本文应用矢函数法求解棱面度,提高了计算精度,并取得了棱面度顶点的位置,为平整棱面度提供了依据。