ESTIMATING EXTREME-VALUE INDEX FROM RECORDS

1.IntroductionLet{X.,n21}beasequenceoflidry'swithanondegeneratedistributionfunctionF(x).Supposethereexistsomeconstantsan>0,b.6RandsomeacERsuchthatwhereG.standsforoneoftheextremevaluedistributions:Heretheindex7ERisarealparameter(interpret(1 box)--'/ryase--"for7~0).Theestimationoftheextreme-valueindex7isveryimportantbothintheextremevaluetheoryandinpractice.Manystatistics,suchasHillestimator(forcaseac>0),PickandsestimatorandDekkers-EinmahLdeHaan'smomentestimatorwhicharebasedonafinitesample,…     

A Generalization of the Mean Size Formula of Wavelet Packets in Lp

The purpose of this paper is to investigate the mean size formula of wavelet packets in Lp for 0 〈 p ≤ ∞. We generalize a mean size formula of wavelet packets given in terms of the p-norm joint spectral radius and we also give some asymptotic formulas for the Lp-norm or quasi-norm on the subdivision trees. All results will be given in the general setting,     

象质评价中光学孔径与波象差的最佳匹配

导出了光学孔径与波象差共同决定成象质量的一些关系式，并从理论和实践两方面找出上述两参数的最佳匹配范围。文中得出的结果与以往传统的象质评价判据有明显的区别。     

圆锥曲线

1)重点：三种圆锥曲线的定义、标准方程、几何性质(包括范围、轴、顶点、焦点、离心率、准线，对于双曲线还有渐进线)及其应用；直线与圆锥曲线相交弦的中点轨迹问题；待定系数法、运动变化思想、数形结合思想的应用．     

OPTIMAL HARVESTING POLICY FOR INSHORE-OFFSHORE FISHERY MODEL WITH IMPULSIVE DIFFUSION

This article studies the inshore-offshore fishery model with impulsive diffusion. The existence and global asymptotic stability of both the trivial periodic solution and the positive periodic solution are obtained. The complexity of this system is also analyzed. Moreover, the optimal harvesting policy are given for the inshore subpopulation, which includes the maximum sustainable yield and the corresponding harvesting effort.     

ASYMPTOTIC BEHAVIOR OF THE DRIFT-DIFFUSION SEMICONDUCTOR EQUATIONS

This paper is devoted to the long time behavior for the Drift-diffusion semi-conductor equations. It is proved that the dynamical system has a compact, connected and maximal attractor when the mobilities are constants and generation-recombination term is the Auger model; as well as the semigroup S(t) defined by the solutions map is differential. Moreover the upper bound of Hausdorff dimension for the attractor is given.     

界面反射偏振象差分析

在光学没计中,一般认为在同一光波面上,光束具有相同的振幅和偏振状态。事实上,光束经过许多光学元件后,偏振状态会发生变化,特别是入射角和光程的不同,会导致出射光波面上偏振分布不再均匀,形成偏振象差。本文主要就轴上物点发出的光束经过界面反射后的偏振象差方面进行了分析。     

离轴光学系统中象散和焦点的纵向漂移

在许多激光应用中,用光学系统对只部分地通过系统孔径的离轴光束进行聚焦。本文在衍射理论的基础上得出了若干分析表达式,对于因象散和纵向焦点偏移象差而受损的光学系统中的均匀和高斯离轴光束而言,这些公式给定了衍射焦点、归一化峰值强度以及容限条件。其结果可用在激光束聚焦系统的设计中。     

求解P0函数互补问题的一种微分方程方法

本针对P0函数互补问题，给出了一种微方程方法，并且证明了P0函数互补问题的解是微分方程系统的渐进稳定平衡点。在适当的假设条件下，证明了所给出的算法具有二次收敛速度。几个数值例子表明了该算法的有效性。     

光学系统自动设计中应用动态规划的个算法

本文用动态规划方法求解具有等式和不等式约束的光学系统的最优化问题,以Kuhn-Tucker条件为基础,利用牛顿迭代法提出最优决策的一个算法,并证明其局部收敛性。