THE EQUALITIES OF THE CHERN CLASSES

In this paper we generalize the results of [1]and prove that,for any given 4≤k≤n,theChern classes of hypersurface V_n corresponding to the partitions of k also satisfy some equalities.Furthermore,we obtain the equalities of Chern classes concretely for k=4,5,6.     

ON THE THEORY OF RESOLVENTS AND ITS APPLICATIONS

1.IntroductionSomefrequentlyusedalgebraicalgorithmssharethesamepropertythattheytransformasetofpolynomialequationstoasinglepolynomialequationsuchthatthezerosetofthepolynomialsetandthehypersurfacedefinedbythesinglepolynomialareequivalentincertainsense.FOralgorithmswiththisproperty,wemaymention'thealgorithmtofindaprimitiveelementforafinitelygeneratedalgebraicextensionfield[1],thealgorithmtofindaplanecurvewhichisbirationaltoaspacealgebraiccur.e[2]!etc.Inthispaper,wepresentageneralalgorithmwhichcan…     

不确定多变量线性系统的快速收敛滑模控制

讨论了一类不确定多变量线性系统滑模变结构控制的快速收敛问题,提出一种指数型快速终端滑模变结构控制方案。通过非奇异线性变换将不确定系统化为简约标准型,而后设计了非线性指数型快速终端滑模超曲面,给出了滑模面参数矩阵的选择方法。在此基础上设计了变结构控制律,使系统状态在有限时间内到达滑模面上,随后保持在滑模面上并按指数型终端滑模的规律运动,在有限时间内收敛到平衡点。与普通的快速终端滑模相比,系统状态能以更短的时间到达平衡点。该方法具有全局稳定性和鲁棒性,仿真结果证明其有效性。     

各类Petri网语言间的关系

Petri网语言是Petri网理论的重要组成部分,反映了Petri网的模拟能力;同时,Petri网语言也是分析系统行为的重要手段之一,在许多方面得到了应用。对已有的12类Petri网语言,已经给出了它们之间一个粗略的包含关系。在已有关系的基础上,给出了这12种语言类之间一个更详细的包含关系:有的语言类之间是真包含,有的语言类之间是相交但互不包含,因此,能够较详细地刻画出这12类语言间不同的模拟能力;同时,从证明中也可以了解到一些语言类自身的特点。     

SOME THEOREMS OF THE NORDHAUS-GADDUM CLASS

Let the chromatic number of G, the edge chromatic number of G and thetotal chromatic number of G be denoted by x(G), x_1(G) and x_2(G), respectively. Forany simple graph G of order p and its complement G, the following inequalities of theNordhaus-Gaddum class are obtained:(i)|2p~(1/2)|-ε_1≤x(G)+x_1(G)≤2p-2 and 0≤x(G)·x_1(G)≤(p-1)~2 for p≥2,(ii)|2p~(1/2)|+ε_1≤x(G)+x_2(G)≤2p-1 and 0≤x(G)·x_2(G)≤p(p-1) for p≥3,(iii)p≤x_1(G)+x_2(G)≤2p-1 and 0≤x_1(G)·x_2(G)≤p(p-1) for p≥3,where ε_1=0, if p~(1/2) is an odd integer, 1, otherwise,ε_2=1, if p~(1/2) is an even integer, 0, otherwise,and [x] denotes the ceiling of x. We also show that these bounds are sharp for everypositive integer p.     

ON THE COMPLETION TIME AND THE INTERRUPTION TIME OF A JOB PROCESSED ON AN UNRELIABLE MACHINE

This paper considers the completion time and the interruption time of a job processed on an unreliable machine. By using the general theory of stochastic orderings, we obtain the closure properties of the distribution of the completion time and the interruption time on L^ and PH life distribution classes. We get an exponential bound for the tail probability of the interruption time.     

关于突变论的一点注记

首先指出突变论作为系统科学分支，其发展不尽人意，并建议将其推广，同时初步提出一个具有广泛应用背景的广义突变论概念，讨论了它的特征，以作抛砖引玉．     

保险赔付时间分布函数及其应用

本文根据近几年我国部分省市公开的保险理赔服务质量指标中的数据, 拟合保险理赔服务时间的分布函数, 讨论保险理赔时间分布函数的分布类型和特性, 在分布函数分布不确定的情况下估计其实用的界值. 并且将其性质应用到未决赔款准备金的计提方法中, 得到未决赔款准备金的分布函数和有效的界值. 在此研究基础上, 我们进一步通过几个实例, 验证保险理赔时间分布函数和界值的求解方法, 并应用其分布函数得到所需计提的未决赔款准备金的分布和界值情况.     

一种超曲面拟合方法及其应用研究

根据已知的输入数据和输出结果，用超曲面拟合方法，建立一个数学模型，并用该方法建立汽轮发电机密封油温调节系统的数学模型。数值仿真结果令人满意，从而证明用这种方法所建立的数学模型能够较理想的描述系统。     

现代工业工程理论研究与发展概况

本文阐述了工业工程产生与发展的原因，现代工业工程的基础概念和国际上研究与应用的主要理论内容及特征，并分析了工业工程发展的趋势，以及我国工业工程的研究与应用在国民经济建设中的意义与作用。     

基于椭圆RHM的扩展目标伯努利滤波算法

与传统点目标跟踪不同,扩展目标跟踪既要估计目标的运动状态,还需估计目标的扩展状态,包括目标的形状、大小、方向等信息。针对扩展目标跟踪中存在的扩展状态估计不准确和非线性问题,提出一种基于随机超曲面模型(random hypersurface model, RHM)的扩展目标伯努利滤波算法。该算法首先采用RHM对目标量测源建模;然后,在扩展目标伯努利滤波框架下,实现对单扩展目标运动状态和扩展状态的实时估计;最后,引入Gamma分布以提高量测率估计的准确性。此外,为了降低计算复杂度,在量测更新中采用距离划分来减少所有可能的划分总数。实验结果表明,所提滤波算法在估计目标运动状态、扩展状态和量测率等方面优于现有的滤波算法,并且可用于实际视频跟踪场景。     

不确定奇异系统的Terminal滑模控制

针对一类不确定奇异系统,研究其Terminal滑模控制问题。通过非奇异线性变换把不确定奇异系统变换成受限等价形式,利用Lyapunov函数方法,首次提出了一种新的Terminal滑模控制策略,给出了特殊的Terminal滑模超曲面,设计了相应的滑模控制器,实现了滑模运动,保证了系统状态变量在有限时间内收敛到平衡点。给出数值算例,说明了方法的有效性。     

寿命型产品可靠性的管理工程

本文采用系统工程方法,为寿命型产品的可靠性管理建立了一个连续和离散模型,以用来预测和评估可靠性。供实现产品科学管理和小子样系统可靠性研究之用。     

中值滤波器性能研究

本文应用概率理论分析了中值滤波器的性能。从随机变量的序分布入手,导得了中值滤波器在一般分布情况下的性能参数公式和指数分布及正态分布两种特殊情况下的滤波器性能参数。分析方法和导出的公式对实际应用环境中的中值滤波器的设计和应用具有指导意义。     

相控阵天线应用中的两个问题

本文从功率谱的基本定义出发,导出了随机初相对天线方向图的影响。所得到的公式,物理概念清楚,应用方便。另外,推导出相控阵天线在正弦空间中单脉冲状态下差支路的信号特征,并得出了误差信号的公式。     

THE EQUILIBRIA OF THE SIZE STRUCTURED POPULATION MODEL

In this paper the existence and stability of the positive equilibrium of the size-structured population model are proved by Rabinowitz‘s theorem and the local linearization method.The result here shows that near the bifurcation point where a branch of positive equilibria appears,the stability of the positive equilibrium on the branch is dcpendent on the direction of the bifurcation.The argument for the model of age-structured population is generalized in this paper.     

一种新的优化方法:β算法

提出了一种新的求解全局最优问题的算法。该算法适合求解非线性、非凸、包含多个局部最优解的最优化问题,且对所求解的问题没有很强的前提条件,适用范围宽广,该算法利用了目标函数超曲面在可行域中的起伏,对可行域进行分割压缩,并最终收敛于某个全局最优解。最后通过实例与模拟退火算法进行了比较,检验了其优异的鲁棒性和收敛速度。     

THE COMPOSABILITY PROBLEM OF THESEMANTICS OFXYZ/BE-COMMUNICATING PROCESSES

1.Introduction"Awell-knownproblemfortheverificationandtheconstructionofconcurrentprogramsisthatspecificationthatwouldbesatisfiedbyagivenprocessviewedinisolationmightbeinvalidatedbyactionsperformedbyotherprocessesexecutinginparallel"lll."Arigorousmodularspecificationmethodrequiresaproofruleassertingthatifeachcomponentbehavescorrectlyinisolation,thenitbehavescorrectlyinconcertwithothercomponents"[2].Thecomposabilityproblemwhetheraparpllelcompositionprocesscontinuestohavethepropertiesofitscompone…     

THE J STRUCTURE IN ECONOMIC EVOLVING PROCESS

The economic evolution exhibits complexity. Behind the variable and fluctuant economic data there exists basic characters and rules. One basic structure in economic evolving process called as “J“ structure is studied by us. This kind of structure exists in a wide area, such as economic growth, technology innovation, international trade, education,human capital, ecology and environment etc. From the view of economic evolution, J structure has the character that system should suffer the pressure of initial investment with profit decreasing but get larger return afterwards. It is a kind of adaptation in complexe conomic systems; it reflects the adaptive and reformative ability of the system under the surrounding change. We illustrate the J structure by discussing economic growth. Based on a two-dimension dynamic system the geometric character and mechanism of J structure are studied, also the phase graphs with its condition are given. Also some further works are discussed.     

STABILITY OF STEADY－STATE SOLUTIONS OF THE COMPETITION MODEL IN THE CHEMOSTAT

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