基于拉格朗日插值的签名方案的研究

提出基于拉格朗日插值的签名方案存在小数位问题,并通过引入向量计算机制以消除数字签名中的小数位问题,最后对其进行了证明.     

ROLE OF α-PSEUDO-UNIVEX FUNCTIONS IN VECTOR VARIATIONAL-LIKE INEQUALITY PROBLEMS

In this paper, we introduce a new class of generalized convex function, namely, a-pseudounivex function, by combining the concepts of pseudo-univex and α-invex functions. Further, we establish some relationships between vector variational-like inequality problems and vector optimization problems under the assumptions of α-pseudo-univex functions. Results obtained in this paper present a refinement and improvement of previously known results.     

常曲率空间中具有平行平均曲率向量子流形的不等式

设Mn是等距浸入在常曲率黎曼流形Nn p(c)中的n维紧致子流形,若Mn是极小的,有著名的Simons不等式.李安民等人改进了此不等式,现在进一步把它推广到常曲率黎曼流形的具有平行平均曲率的子流形的情形.     

Unit roots versus other types of time heterogeneity,parameter time dependence and superexogeneity

This paper stresses the restrictive nature of the standard unit root/cointegration assumptions and examines a more general type of time heterogeneity, which might characterize a number of economic variables, and which results in parameter time dependence and misleading statistical inference. We show that in such cases ‘operational’ models cannot be obtained, and the estimation of time‐varying parameter models becomes necessary. For instance, economic processes subject to endemic change can only be adequately modelled in a state space form. This is a very important point, because unstable models will break down when used for forecasting purposes. We also discuss a new test for the null of cointegration developed by Quintos and Phillips (1993), which is based on parameter constancy in cointegrating regressions. Finally, we point out that, if it is possible to condition on a subset of superexogenous variables, parameter instability can be handled by estimating a restricted system. Copyright © 2002 John Wiley & Sons, Ltd.     

Остроградский──Gauss定理的一个注记

本文给出在一定条件下，即使在闭曲面围成的空间区域内有奇点公式也同样成立。     

矩阵范数的界和方阵的ρ-条件数

本文给出了长方矩阵的p-范数及更广一类矩阵范数的上、下界又给出了方阵的p-条件数等于1的条件。(1≤p≤ ∞)。文[1]则是p=2的情况。前三节讨论p-条件数,第四节讨论长方矩阵范数的界。     

统计模式识别的研究

模式识别的基本目标就是在有监督和无监督的情况下进行分类,在模式识别的各种模型中,基于统计的方法已经被广泛的研究并应用于实际.一些新的技术和方法的引入（神经网络和支持向量机方法）也促进了该领域发展,文章研究了基于统计的模式识别的进展情况,给出了模式识别的概念、原理、方法并对各种方法进行了相关的评述.     

On Vector Quasi-Variational Inequality Problems in H-Space

The purpose to this paper is to study the existence problem of solutions to the vector quasi-variational inequality for vector-valued functions in H-space.     

关于极值问题的一个注记

本首先把一元函数极值从本质上推广到多元函数极值，进一步给出了以往教材中没有提到的，关于三元函数极值的有效的具体判别方法。     

R.C.曲线交叉粱系双目标优化设计的研究

本文对R.C正交直线-曲线粱系进行双目标优化设计,取结构造价和钢筋用量两类指标构造目标函数,建立了此类结构的基于Pareto最优性准则的数学模型,并对“线性加权和算法”进行改进,由此求得的综合最优解与一般算法的解答基本重合,而迭代计算的工作量却显著减少。对数值计算结果进行分析、讨论,得出一些比单目标优化设计更有理论和实际意义的结论。