ON THE CRITERIA AND ENUMERATION OFBOOLEAN FUNCTIONS USEDIN STREAM CIPHERS

1.IntroductionInstreamciphers,booleanfunctionf:Z7~ZZhasbeenusedtoproducekeysequences.Butwhichkindofbooleanfunctionisbettertogeneratekeysequencesisnotcertain,andweshouldconsideritaccordingtodifferentcriteria.In[1],C.Mitchellgavesomecriteriaandenumeratedthe…     

ACCURACY ANALYSIS OF 12-PARAMETER RECTANGULAR PLATE ELEMENTS WITH GEOMETRIC SYMMETRY

1. IntroductionAs for triangular thin plate element, it is observed in practice that the numerical accuxacyof the two unconventional plate elemellts, namely, the nine parameter quasi--conforming[1] andgeneralized conforming elements[2], is better than that of the usual Zienkiewicz's elemellt andSpecht's element[3], although all these elements have the same asymptotical rate of convergenceO(h) in the energy norm. How to explain the discrepancy between the theoretical analysis andnumerical comp…     

THE NORMALITY OF CAYLEY GRAPHS OF FINITE ABELIAN GROUPS WITH VALENCY 5

1. IntroductionLet G be a finite group and S a subset of G not colltaining the idelltity elemellt 1. TheCayley digraph X ~ Cay(G, S) of G on S is defined byV(X) = G, E(X) ~ {(g, sg)jg E G, s E S}.Immediately from the definition there are three obvious facts: (1) Ant(X), the automorphismgroup of X, contains the right regular representation GR of G; (2) X is connected if and onlyif G = (S}, (3) X is an undirected graph (by coalescing each pair (g, sg) and (sg, g) of directededges int…     

EXPLICIT EXPRESSIONS FOR THE VALUATION AND HEDGING OF THE ARITHMETIC ASIAN OPTION

On the basis of a result in Yor (1992), this paper gives explicit expressions for the valuation and hedging of the arithmetic Asian option.     

THE ALGEBRAIC CRITERIA FOR THE ASYMPTOTIC BEHAVIOR OF COOPERATIVE SYSTEMS WITH CONCAVE NONLINEARITIES

For the discrete dynamical system on the nonnegative orthant generated bya cooperative and concave map T, we present an algebraic criterion of its asymptoticbehavior. The global behavior of such a system is completely determined by the sign of allprincipal minors of the matrix I-DT(0). This criterion applies to the cooperative systemwhich is concave, time-dependent and periodic in t. We give the sufficient conditions thatthe zero solution of such a system is globally asymptotically stable and that it possesses anonzero periodic solution which attracts all initial conditions in the nonnegative orthant.except at the origin. The results of Smith under weaker conditions and some applicationsare included.     

THE CRITERIA OF ULTIMATE BOUNDEDNESS FOR NONAUTONOMOUS DIFFUSIVE LOTKA-VOLTERRA SYSTEMS IN TWO HETEROGENEOUS PATCHES

1 Introduction and PreliminariesSince the interrelations between the orgachms and the environment seem to be essentialto the system's stabilityll], the effect of diction on the possibility of species coechtence in anecological community has been an haportat subjeCt in population biology. EXcept for someexamples known as ~ive instability or diffusion-induced instability especially in aquaticsystems (see [2]), a diffusion process generally tends to promote stability in ecological systems.Numero…     

EQUIVALENT CONDITIONS FOR THE UNIFORM CONTINUITY OF DUALITY MAPPING

InII],T.Katogaveasufficientconditionfortheuniformcontinuityofdualitymapping,in[2],MaShaoqinpointedoutthattheconversepropositionofthisresultholdstoo.[3]gotthattheuniformcontinuityofdualitymappingF(x)isequivalenttothat(F(x ty),y),(F(x),y),(t~0)uniformlyforx…     

相似集群分析方法及其应用

提出一种相似集群分析方法及其在系统分析中的指标筛选与结构相似分类中的应用．该方法在本文中称为ＩＧＧＴ．它能同时完成结构相似分类与类主特征提取的功能，在本文中介绍该方法的原理、算法及在指标筛选中的应用．     

ASYMPTOTIC ANALYSIS OF THE OPTIMAL CONTROL OF AN ELASTODYNAMIC SYSTEM

Based on the idea of the reduction of optimal control systems in singularperturbations of Lions and a priori estimates in [4], we prove the convergence of theoptimal control, state and the cost function between a singular linear elastodynamic systemand a limit system. Our asymptotic analysis is applicable to the optimal control of flexiblerobotic manipulators.     

LAWS OF THE ITERAFED LOGARITHM FORTRIMMED SUM

1.IntroductionLetX,X1,X2,''beasequenceofn0n-degenerateindependelltidenticallydistributedra-n-domVarableswithcommondistributionfunctionF,andletXl,'',X2beanarrangementofXl,'Xnindecreasingorderofmagnitude,i.e.IX:l2''2IX2I.SetS;=Z:. ,X;.Forx>0,defineandforx=0,setG(O)=Q(O)=P(IXI>O),K(0)=0-DeAneLetrnbeanynon-decreasingsequenceofilltegerssuchthatwheref>0andwewritel2nforloglogn.By(1.1)and(l.2),forsufficientlylargentwecandeflneasequenceb.byP.S.Griffinl1Jobtainedthefollowingtheorem:R…     

THE LINEAR ARBORICITY OF COMPOSITION GRAPHS

The linear arboricity la(G) of a graph G is the minimum number of linear forests which partition the edges of G. Akiyama, Exoo and Harary conjectured that la(G) = [△(G) 1/2] for any regular graph G. In this paper, we prove the conjecture for some composition graphs, in particular, for complete multipartite graphs.     

关于争夺制天权的思考

当今世界,新技术革命的大潮汹涌澎湃,政局激烈动荡,战略格局正处在重新组合与调整时期。战略核武器的存在和持续发展与航天技术巨大成就和飞速进步交织在一起,使世界进入了“天核重叠”时代。地球上的缓和与对话,掩盖着太空的对抗与争夺。随着美国“战略防御倡议”计划的推进和实施,“星球大战”的设想和前景给未来太空的开发和利用罩上一层朦胧的阴影。未来的太空景象如何?随着航天技术的发展,开发太空将对人类社会的经济生活、政治生活和军事对抗态势产生何种影响?本文从宏观战略和科学技术角度,对有关问题做了分析、论述。     

重建目标特性的逆散射方法

本文综述由空间局部区域所测得的散射数据重建目标特性的逆散射方法,分别介绍分层介质特性剖面反演,波不可透入目标的形状重建,以及波可透入目标特性反演等问题。     

ON CONVERGENCE AND RATE OF CONVERGENCE OF ALGORITHMS IN THE MOVER－STAYER MODEL

ＯＮＣＯＮＶＥＲＧＥＮＣＥＡＮＤＲＡＴＥＯＦＣＯＮＶＥＲＧＥＮＣＥＯＦＡＬＧＯＲＩＴＨＭＳＩＮＴＨＥＭＯＶＥＲ－ＳＴＡＹＥＲＭＯＤＥＬＷＡＮＧＤｏｎｇｑｉａｎ；Ｌａｗｏｋｏ，Ｃ．Ｒ．Ｏ．（ＤｅｐａｒｔｍｅｎｔｏｆＳｔａｔｉｓｔｉｃｓ，ＭａｓｓｅｙＵｎ...     

THE RATE OF UNIFORM CONVERGENCE OF THE SURVIVAL FUNCTION ESTIMATOR FOR TRUNCATED AND CENSORED DATA

1 Illtroduction and Main ResultsIn medical follow-up or engineering life testing studies one may not be able to observethe variable of inferest, referred to hereafter as the lifetime. Among the differellt forms inwhich incomplete data appears right censoring and left truncation are two common ones. Lefttruncation mad occur if the time origin of the lifetime precedes the time origin of the study.Only subjects that fail after the start of the study are being followed, otherwise they are lefttru…     

ON THE INVARIANT FOR A FAMILY OF DEFORMED HALLEY METHODS

In this paper,an invariant determined by a function used to guarantee the convergence of all members with ι≤κ in the family of deformed Halley iterative methods for solving nonlinear equation in complex field is given.Results include some known ones as this special cases.We get not only the error estimates of the iterative sequences ｛zn,ι｝ but also those of f(zn,ι) for all ι≤κ.     

A ROBUSTNESS ANALYSIS OF THE MUSIC AND THE MINIMUM－NORM ALGORITHMS WITH RESPECT TO CORRELMED NOISE

ＡＲＯＢＵＳＴＮＥＳＳＡＮＡＬＹＳＩＳＯＦＴＨＥＭＵＳＩＣＡＮＤＴＨＥＭＩＮＩＭＵＭ－ＮＯＲＭＡＬＧＯＲＩＴＨＭＳＷＩＴＨＲＥＳＰＥＣＴＴＯＣＯＲＲＥＬＭＥＤＮＯＩＳＥ￥ＪＩＡＰｅｉｚｈａｎｇ（ＩｎｓｔｉｔｕｔｅｏｆＳｙｓｔｅｍｓＳｃｔｅｎｃｅ，Ａｃ...     

UMVUE OF POLYNOMIALS OF (EX)~(-1) FOR SEVERAL NATURAL EXPONENTIAL FAMILIES ON THE POSITIVE LINE

1. IntroductionBecause of its applications ill biological science and econometrics as well as in experimental nuclear physics, some authors[1'2] have studied the unbiased estimation of the inverse ofpopulation mean! 1/m. Srivatava and Bhatnagar used the statisticXti '~ ~ k > 0, (1.1)X. k(4)'where k is a scalar constant abed s: is the unbiased sample variance, to estimate 1/m forany distribution with the third moment. They proved that ti is an asymptotically unbiasedestimator with bias of or…     

任意点源相干/非相干干扰对单脉冲雷达跟踪的影响

本文研究了任意点源相干/非相干干扰的远区场分布及相位波前的畸变区及非畸变区分布,并给出了在非畸变区中单脉冲雷达的跟踪原则及跟踪时方位和俯仰角误差公式。