A 2－FACTORIZATION ORTHOGONAL TO A STAR IN A GRAPH

Ａ２－ＦＡＣＴＯＲＩＺＡＴＩＯＮＯＲＴＨＯＧＯＮＡＬＴＯＡＳＴＡＲＩＮＡＧＲＡＰＨ￥ＬＩＵＧｕｉｓｈｅｎ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＳｈａｎｄｏｎｇＵｎｉｖｅｒｓｉｔｙ，Ｊｉｎａｎ２５０１００，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ：Ｌｅ...     

A NECESSARY AND SUFFICIENT CONDITION FOR A POINT TO BE A GLOBAL MAXIMIZER OF A CONSTRAINED OPTIMIZATION

It is difficult to judge whether a given point is a global maximizer of an unconstrained optimization problem. This paper deals with this problem by considering global information via integral and gives a necessary and sufficient condition judging whether a given point is a global maximizer of an unconstrained optimization problem. An algorithm is offered under such a condition and finally two test problems are verified via the offered algorithm.     

一种多目标资源分配方法

本文以大型多用途水库的电能及投资分配问题为背景, 对这类多目标资源分配问题进行了研究。文章提出了这类问题的数学模型, 研究了分配各方对于各个目标的满意度不可定量描述时的分析方法, 并以实例说明了这种方法的应用。     

A MUCLTI-PARAMETER SPLITTING EXTRAPOLATION AND A PARALLEL ALGORITHM

1.IntroductionConsidertheone-dimensionalDirichletproblemwherethecoefficientsoftheproblemaresmoothandsatisfyp(x)2c>0,q(x)30,xE(0,1).Let[0,1]bedividedintopsubintervalsT={(aj--1,aj):j=1,2,'',p},ac=0,ap--1.Oneach(aj--1)aj),auniformmeshrefinementwithsizehiisi…     

A ROBUST DECOMPOSITION OF LINEAR PROGRAMMING USING A GOAL-PARTITIONING METHOD

The Dantzig/Wolfe linear programming decomposition algorithm has had important economicinterpretations as well as a widespread impact on solving large scale linear programming problem.Inthis paper we consider a similar underlying structure,where however there is only one couplinginequality or equation.With this simplification,we demonstrate how to achieve an equitable partitionof the overall coupling resource to individual subproblem constraints through a simple iterationprocedure which appears to be very efficient.     

CORRECTED PROOF OF A THEOREM CONCERNING A CONJECTURE OF SINGH

A theorem concerning a conjecture of Singh is formulated in[2].But the argumentin [2] contains a serious gap which is in fact the essential point of the proof.A correct proofis presented here.     

一种合理猜测下不完全信息协商模型

分析了一种不完全信息协商模型．在这个模型中，一方的交易费用是共同知识，另一方的交易费用是私有信息．一个合理的猜测被提出，在这个猜测假设下，本文刻划了协商模型的序贯平衡．最后与其它猜测假设下的协商模型的序贯平衡结果进行了比较     

一种新的基于策略的联盟分析方法

针对多方冲突现象 ,分析比较了传统联盟分析的不足 ,提出了一种新的基于策略的联盟度量方法 ,新方法在计算机编程以及分析多局中人、多策略的大规模冲突模型方面有独到之处 .     

传统网络总时差计算方法的商榷

本文揭示了传统网络构图模型系统结构的不相容性，从而实现了传统网络总时差的计算是错误的论证。     

A k-HAMILTON-NICE SEQUENCE

Ａｋ－ＨＡＭＩＬＴＯＮ－ＮＩＣＥＳＥＱＵＥＮＣＥＬＩＵＹｉｐｉｎｇ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＮａｎｊｉｎｇＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｎａｎｊｉｎｇ２１００２４，Ｃｈｉｎａ）ＴＩＡＮＦｅｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓ...     

A complexity architecture for information technologies: A three-year didactic experiment

One medium-term strategy for helping in the management of complexity is the introduction of a conceptual complexity component in the very centre of university curricula. In very few areas is the growth of complexity as evident as in the information technologies (ITs), the focus of the work presented in the current paper. We have therefore developed an integrated way of tackling the specific field of information technologies by means of an approach to complexity. The content of this paper describes the guidelines of our research effort, placing an emphasis on informatics. Concepts of complexity based on the system metaphor have been substantially drawn upon in this exercise and are thus presented in some detail. Also described is a didactic experiment conducted by the author and designed to provide a new and integrating approach to University curricula for future professionals. The students' discovery of complexity is the focal point of the experiment. The findings of this effort are encouraging and call for the continuation and expansion of this experiment.     

A MULTI－PARAMETER SPLITTING EXTRAPOLATION AND A PARALLEL ALGORITHM FOR PARABOLIC PROBLEM

ＡＭＵＬＴＩ－ＰＡＲＡＭＥＴＥＲＳＰＬＩＴＴＩＮＧＥＸＴＲＡＰＯＬＡＴＩＯＮＡＮＤＡＰＡＲＡＬＬＥＬＡＬＧＯＲＩＴＨＭＦＯＲＰＡＲＡＢＯＬＩＣＰＲＯＢＬＥＭＬＩＵＸｉａｏｑｉ（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＸｉａｎｇｔａｎＴｅａｃｈ...     

OBSERVING THE HEAT EQUATION ON A TORUS ALONG A DENSE GEODESIC

Several authors have considered observability problems for the heat equation and relatedpartial differential equations.A basic problem is to determine what kinds of sampling providesufficient information to uniquely determine the initial heat distribntion.We address the case wherethe temperature is measured while travelling along a curve.We consider the special case where the space is a flat torus(of arbitrary dimension)and thecurve is a geodesic.It is shown that,in this case,the observed temperature is sufficient informationto uniquely determine the initial heat distribution if and only if the geodesic is dense in the torus.In the case of a torus,Fourier analysis techniques can be used to write down the solution of theheat equation.This allows us to derive an explicit representation of the observed temperature interms of the initial distribution.We use this representation and some ideas from the theory ofalmost periodic functions to show that the Fourier coefficients of the initial distribution can berecovered from the observation.     

计量经济中一类单指标模型的建模

本文基于对统计学中广义线性模型的分析、详细研究了计量经济中一类单指标模型的建模问题，提出了相应的参数估计与推断算法，并加以实施。实例分析说明该模型及其方法在实际应用中具有优越性。     

A CRITERION FOR DISCRETE SPECTRUM OF A CLASS OF DIFFERENTIAL OPERATORS

In this paper,a sufficient and necessary condition is obtained to ensure that the spectrum of a class of 2n-order weighted differential operators is discrete.The proof is based on the method of certain weighted Sobolev spaces to be compactly embedded in weighted L^2(R).     

A Biography of Bela H. Banathy: A Systems Scholar

This article reflects a biographical account of Bela H. Banathy's life, providing a recorded history of his accomplishments, personally and professionally. Professor Banathy made significant contributions to systems design theory and practice throughout his life. The author chronicles Bela's lifework as a systems scholar, drawing from personal communication, autobiographical documents, and published works to create a biographical portrait.     

基于短期AGC指令的负荷系统预见预测控制

针对目前火力发电单元机组负荷增减频繁、扰动因素较多的情况，在充分利用自动发电挂制(AGC)的负荷指令资源的基础上，提出一种协调控制系统的负荷预见预测控制方案。该方法以多变量预测控制为核心，将预见控制思想融入到预测控制的设计之中，从而构成一种新的负荷协调控制策略。仿真结果表明，该方法集预测控制、预见控制二者的优点，使得机组负荷具有良好的跟踪性能，主蒸汽压力也具有很好的系统动、静态调节品质，而且控制量变化非常平稳，在对象动态特性较大范围内变化的情况下，系统具有较强的鲁棒性。     

一种新型卫星多址方式的分离新算法

在介绍一种新型的卫星多址方式—PCMA（成对载波多址）技术的基础上，利用Fisher矩阵得到信道参数估计的克拉美罗限，并结合ML（最大似然准则）和锁相环技术提出了一种无需单独发送训练序列的新分离算法。仿真结果证实了该算法的有效性和可行性。     

A Shortest Path Problem

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