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.     

THE GEOMETRIC PROPERTIES OF THE SET OF LYAPUNOV MATRICES AND THE STABILITY OF THE MATRIX FAMILY

Given a stable matrix A∈C~(n×n),there are some simple simultaneous inequalities whosecoefficients rely on A.For (?)P~H=P∈C~(n×n),if P satisfies these inequlities,then PA A~HP<0.As anapplication of the main results,the stability of the matrix family is treated.Besides,some geometricproperties of the set of all the Lyapunov matrices of a given stable matrix are considered.     

人口模型中的分岔现象

在非线性动态系统中可能出现分岔现象,分岔理论为我们研究社会经济系统中的某些异常现象提供了一种新方法。本文研究了人口模型的分岔现象,以此作为示例,体现了用分岔理论研究社会经济系统的过程与步骤。     

转换开关完全可靠的贮备系统的模糊可靠性

本文将普通可靠性推广到模-精型模糊可靠性,并求出了贮备系统的各项模糊可靠性指标。     

基于动态沉没成本的更新时机优化模型

将沉没成本概念动态化后构建出设备更新时机选择的系统分析模型。该模型有助于设备更新进机优化问题的正确解决。     

THE TAIL ESTIMATION FOR THE DISTRIBUTION OF THE SUPREMA OF A P-BRIDGE

Let X_1,X_2,…be a sequence of independent random vectors which take values in IR~2 and X_i～P.By the projection pursuit (PP) method,we canconstruct PP type Kolmogrov-Smirnov statistics:K_n=(?) 1/n~(1/2)|sum from i=1 to n(I_|a~rX_(?)(?)t|-P(a~rX_1(?)t))|,where I_([·]) is the indicator function of the set [·] and P is a probability distribution.The limit distribution of K_n is the distribution for the suprema of a P-bridgewhose index is the set of all half spaces in IR~2.Let{W_p([0,(?)])∶(?)∈[0,1]~2} be atwo parameter Brownish bridge.The main result of this paper is(?)for all λ,provided P is the uniform distribution on [0,k_1]×[0,k_2],0相似文献   

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.     

THE ESTIMATE AND TEST IN THE SYMMETRICAUXILIARY INFORMATION

1.IntroductionLetX,XI,X2,''lXui.i.d.~FO.TheempiricaldistributionFn=Z::,6x./niswellknowntobethenonparametricmaximumlikelihoodestimateofFObasedonXI,X2,'')Xu.Here6:denotesapointmassatx.ThelikelihoodfunctionthatFimaximizesisL(G)=fi:=,G{xi},whereG{xi}istheprobabilityoftheset{xi}underG,xiistheobservedvalueofXiandGisanyprobabilitymeasureonCP.WedefinetheempiricallikelihoodfunctionnL(G)=fiG{xi},whereG<相似文献   

IMPROVEMENT ON THE TEST IN THE EXPONENTIAL FAMILY

Let x_1,…, x_n be the life spans of n items. Suppose that we start the experi-ment at the time t=0 for all the items simultaneuously aud stop the experiment at the timet=r, where r is a stopping time. The observed data set is Z_n=(x_(1),…, x_(k), r(x)),where x_(i)(i=1,…, n) is the order statistic of x_i, i=1,…, n and k=k(x) is the num-ber of the observed data. Suppose that the distribution family of x_i, i=1,…, n is i.i.d.exponential with life expectation θ>0. For testing the hypothesis H_0: θ≤θ_0 againstH_1: θ>θ_0, we use the total time of experiment S_r=sub from i=1 to k x_(i) +(n-k)r (x) as the teststatistic. We reject H_0 as large value of S_r is observed. In this paper for a given stoppingtime r we construct a stopping time ro so that the resulting test is a best improvement ofthe one, which is based on r, in the sense that the power functions of the two tests are thesame but the test based on r_0 is the one which has the minimnm total experiment time.     

系统可靠度分配的最优决策

运用模糊数学原理和多阶段决策算子法,提出了两种适用的系统可靠度分配的新方法．     

区间迭代法的“最优”收敛性分析

本文提出了区间迭代法的“最优”收敛性概念,对Krawczyk类区间迭代法的“最优”收敛性进行了分析,证明了Krawczyk—Moore算法是具有“最优”收敛性的区间迭代法。最后,还给出了一个关于Krawczyk类区间迭代法收敛的必要条件。     

系统生长模型和群组综合决策

本文提出了系统生长模型和群组综合决策法,用以解决高层次系统分析,宏观规划决策和中长期预测问题。     

THE ATTAINABILITY OF THE PORTFOLIO OPTIMIZATION UNDER TRANSACTION COSTS

1.IntroductionConsideraninvestorwhoisinafricti0nalmarket,moreconcretely,heisinamarketwithproportionaltransactioncosts.nansacti0ncostsmaybeanessentialpropertyofthecontemporarymarkettrading.Uptonow,intheliteraturesofmathematicalfinancetherehaveealsteds0mearticlesonit,suchas[1-4]whicharerepresentativeamongthem.Infact,itisverysignilicient,whentheinvestorfacingmultiplestocksinthemarket,howtoobtainhisportfoliooptimizationundertransactioncostsathisterminalinvestingtimeT.However,theabovearticlesareno…     

THE EIGEN-PROBLEM AND PERIOD ANALYSIS OF THE DISCRETE-EVENT SYSTEM

In this paper we provide a sufficient and necessary condition for the eigenvalueand eigenvector of a general reducible matrix in a discrete-event system described by the“max”algebra,analyse the steady periodical performance of the system,and obtain ananalytic solution of the dynamic equation.We propose the conception of“order-d-(?)-block-periodical matrix”and obtain its sufficient and necessary condition and provide an algorithmof (?) matrix.     

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。     

美国空中防御计划(ADI)分析

美国继SDI计划之后又提出了ADI计划。本文叙述了这一防空计划的发展背景与内容,分析了它与SDI计划的关系以及对防空技术产生的影响。     

用联系数描述和处理网络计划中的不确定性

通过把集对分析（ＳＰＡ）中的联系数引入到网络计划技术之中，为工程中因各种情况变化引起的工期不确定性提供了一种新的表达和处理方法．研究表明，这种基于联系数的网络计划与调控方法，比传统的网络计划方法提供了更多有价值的信息，如关键路线、次关键路线和再次关键路线及其转化关系等，具有更灵活的表达和处理能力且符合工程实际．新方法思路清晰、操作方便，是一种值得推广的新型网络计划方法     

遗传算法时间复杂性的研究

遗传算法的时间复杂是目前研究的焦点之一。本文以模式生存的概念为基础,将模式风险函数引入遗传算法的分析中,建立了一种随机可靠性模型,分析了遗传算法的时间复杂性。     

有联系数描述和处理网络计划中的不确定性

通过对集对分析（ＳＰＡ）中的联系数引入到网络计划技术之中,为工程中因各种情况变化引起民的工期不稳定性提供了一种新的表达和处理方法,研究表明,这种基于联系数的网络计划与调控方法提供了更多有价值的信息,如着急路线、次关键路线和再次关键路线及其转化关系等,具有更灵活的表达和处理能力且符合工程实际新方法思路清晰、操作方便,是一种值得推广的新型网络计划方法。     

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。