层次分析积因子方法的保序性

在应用传统的层次分析方法时，不论采用相对测量还是绝对测量，都存在逆序现象。而产生逆育现象的根源是决策方案集的封闭性及反映决策者主观认识的判断方法对客观存在的决策方案集的严重依赖性。文章介绍了一种保存的层次分析方法－积因子法，证明了在一定的条件下，积因子法是唯一可选用的保序方法。     

EXACT CONTROLLABILITY OF A CLASS OF DISTRIBUTED PARAMETER SYSTEMS

The exact controllability of a class of distributed parameter systems governedby Petrowsky equations is considered.On the basis of the Hilbert Uniqueness Methodproposed by J.L.Lions,it is found that the Petrowsky systems with Dirichlet boundarycontrol are exactly controllable.     

导引头角闪烁抑制方法探究

雷达目标角闪烁(即视在角位置的变化)是目标后向散射波中的一种干扰现象,它是由复杂目标的多散射中心引起的一种相位迭加畸变效应。在导引头的末段制导过程中,角闪烁将成为主要的角误差因素,它严重地降低了导引精度,甚至可能导致对目标的失踪。 选用一架实际的T-33飞机建立目标模型。近似模型由8个散射中心构成。利用矢量相干求和及坡印亭矢量概念,导出了目标RCS和角闪烁线偏差公式,并得出了几条特定轨迹上导引头跟踪目标的模拟结果。RCS与角闪烁间的负相关性得到了验证。此外,给出了临界去相关频率,概率密度函数以及角闪烁功率谱。为抑制角闪烁,模拟了频率捷变与极化分集时的六种RCS加权处理方法。结果表明,对那些利用了RCS与角闪烁间负相关性的加权方法,经加权处理后,角闪烁的均方根线偏差将被抑制到一个较小的量级。其中频率捷变方法可望得到更好的结果。     

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。     

F-117A飞机外形隐身性能的研究

本文简要地介绍了美国隐身战斗机F—117A的有关情况,并模拟了F-117A的外形,制作了模型,经雷达测试后,得出在各姿态角下的雷达散射截面,用突防理论对F—117A进行隐身性能分析。并据此得出了应加强具有隐身性能材料研究的结论。     

NATREX AND DETERMINATION OF REAL EXCHANGE RATE OF RMB

1 IntroductionIn the past decades, a lot of 1iteratures appeared in the determination of excfiange rate, boththeoretic and empirical. One preValing paradigm is that the puxchasing power parity (PPP)holds in the long run either in weak--fOrm or in strongform. Under this hyPothesis, fluctuationsin real exchange rates are often regaJrded as temporary deviations from the long--run equllibriumexchange rate. However, these ekisting models fail to eXPlain the 1arge fluctuations in the realexchang…     

VIBRATIONAL SYSTEMS OF A CLASS OF THIN CYLINDRICAL SHELLS

The vibration of thin circular cylindrical shells has been studied extensively.In this paper, the existence and uniqueness of the solution of this system are proved bymeans of semigroup theory on the Hilbert space, and the eigenvalue problem is discussed.This offers a theoretical basis for solving this kind of engineering problems.     

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).     

CONVERGENCY OF THE MAXIMUM OF PERIODOGRAM

ＣＯＮＶＥＲＧＥＮＣＹＯＦＴＨＥＭＡＸＩＭＵＭＯＦＰＥＲＩＯＤＯＧＲＡＭ￥ＨＥＳｈｕｙｕａｎ（ＤｅｐａｒｔｍｅｎｔｏｆＰｒｏｂａｂｉｌｉｔｙａｎｄＳｔａｔｉｓｔｉｃｓ，ＰｅｋｉｎｇＵｎｉｖｅｒｓｉｔｙ，Ｂｅｉｊｉｎｇ１００８７１，Ｃｈｉｎａ）Ａｂｓｔ...     

商业市场信息随机预测模型的研究和计算机实现

本文针对商业市场信息的特点，选用了随机预测模型ＡＲＩＭＡ的基本模式；深入研究ＡＲＩＭＡ模型建立的全过程，开拓性地采用了功率谱估计方法，确定市场预测模型的阶数ｐ和ｑ；利用多种高级语言的混编程序技术，在微机上完全实现了商业市场信息预测系统；运行结果表明；该模型及其实现系统是可行的。     

THE POSITIVITY OF THE CHERN CHARACTERS OF A HYPERSURFACE WITH SINGULARITIES

The Chern characters of a hypersurface with singularities are appropriatecombinations of Ehresmann characters of this hypersurface.The Chern characters are usualChern numbers when the hypersurface is smooth.Some sorts of inequalities for these Cherncharacters of an n-dimensional hypersurface are derived.     

ON THE NUMBER OF FIXED POINTS OF NONLINEAR OPERATORS AND APPLICATIONS

In this paper, the famous Amann three-solution theorem is generalized. Multiplicity question of fixed points for nonlinear operators via two coupled parallel sub-super solutions is studied. Under suitable conditions, the existence of at least six distinct fixed points of nonlinear operators is proved. The theoretical results are then applied to nonlinear system of Hammerstein integral equations.     

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 NEW CHARACTERIZATION OF NBU CLASS OF LIFE DISTRIBUTIONS WITH APPLICATION

Assume an unreliable workstation performing jobs with a random service time, namely, it occasionally breaks down because of unexpected interruptions. As an interruption really occurs, the station is instantaneously repaired and the uncompleted job is restarted again from the beginning till a job is completed without being interrupted. The total service time is shown to be NBU if and only if the total time it takes to finish each job with interruptions is stochastically larger than that without them, irrespective of when and how the breakdowns occur. As an application, a nonparametric procedure is developed to test for the strict NBU property of the service time. Finally, some numerical simulations are presented as well.     

THE COMPLEXITY OF LIMIT LANGUAGES OF CELLULAR AUTOMATA: AN EXAMPLE

1 IntroductionCellular automata (abbreviated as CA) are typical complex systems that their global behaviors cannot be PrediCted from the Properties of their componellts (i.e. cells or automata)which are identically located on the nodes of a periodic lattice and have the same updatingrules.Historicallys the first cellular automaton was proposed by von Neumann to formalize thereproductivity phenomena in living systems[IJ. Since then cellular automata as mathematicalmodels have been used to si…     

ON THE CONDITION FOR CONSISTENCY OF RESAMPLING ESTIMATORS OF VARIANCE OF TRIMMED L-STATISTICS

1.IntroductionLetXI,X2,''tX.beani.i.d.randomsamplewithcommondistributionfunction(c.d.f.)F(unknown),andFibetheempiricaldistributionfunction(e.d.f.)basedonthesample.ConsiderthefollowingfunctionalofFwhereF--'(t)ginf{x:F(x)2t}istheinversefunctionofF(inversef…     

DIVERGENCE RATE OF STATE OF AR SYSTEMS WITH UNSTABLE UNIT ROOTS

The order of weighted sum of noise sequence for stochastic system is estimated by using limit theory in probability. Then the divergence rates of state of unstable AR system driven by noise of martingale difference sequence are established.     

复杂目标外形拟合及散射截面计算

本文用修正的双三次参数样条拟合目标外形,可直接使用飞机外形CAD设计数据库,可拟合绕射点坐标,主曲率半径及主方向,短程线及其它一些几何参数,用一致几何绕射理论计算目标的雷达散射截面。计算精度为1dB左右,理论计算与实验结果吻合好。     

ON PAIRED PRIORITIZATIONS OF CRITERIA IN THE PERSPECTIVE OF DIAGRAPHS

It is not usually independent among criteria in multi-criteria decision making(MCDM),and various dependences of criteria greatly influence the results of decision making.If an exact decision is desired,we must make clear the role of the dependences of criteria.Prioritizations,a new kind of dependences of criteria proposed recently,imply that the importance weights of criteria with lower priority for an alternative rely on whether the alternative satisfies the decision maker under criteria with higher priority.It has been validated that there exist lots of relevant applications in our daily activities.However,most existing literatures focus on how to deal with the problems of MCDM with ordered prioritizations among criteria(a special form of prioritizations).The characteristics of prioritizations are not dug deep.This paper constructs a new form of prioritizations,called paired prioritizations,so as to reduce or even avoid imperfect rationality of decision makers hidden in the ordered prioritizations.We first represent binary paired prioritizations as a digraph,based on which we discover two kinds of imperfect rationality(inconsistency and incompleteness) produced in the period that the decision maker supplies the binary paired prioritizations.After the given paired prioritizations are consistent and complete,we develop an approach to transform the paired prioritizations to ordered prioritizations.The latter can be used to handle prioritized MCDM problems.Moreover,uncertainty,another kind of imperfect rationality,is considered when the decision maker provides the fuzzy paired prioritizations based on a set of linguistic labels.We construct a fuzzy digraph whose fuzzy relations are just the fuzzy paired prioritizations.The ordered prioritizations can then be derived with the aid of the fuzzy digraph.Two use cases are taken to show the process of transformations from binary/fuzzy paired prioritizations to ordered prioritizations.     

DESIGN OF NONLINEAR OBSERVERS

ＤＥＳＩＧＮＯＦＮＯＮＬＩＮＥＡＲＯＢＳＥＲＶＥＲＳ￥ＺＨＥＮＧＹｕｆａｎ；ＣＨＥＮＳｈｕｚｈｏｎｇ（ＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓＲｅｓｅａｒｃｈＬａｂｏｒｕｔｏｒｙ，ＥａｓｔＣｈｉｎａＮｏｒｍａｌＵｎｉｖｅｒｓｉｔｙ，Ｓｈａｎｇｈａｉ２００...