非整数级整函数零点的一些性质

对有限级整函数的级，零点的收敛指数与零点标准乘积的属性三者之间所满足的相互关系进行了讨论，对整函数的级不是整数的情形，利用Hadamard标准分解定理，进一步明晰其相互关系，并且给出了非整数级整函数的零点的一些性质。     

Bieberbach猜想的一个应用及S族的一个性质

运用Bieherbach猜想及级数收敛的定义获得了S族函数及其导函数的模有上界的简洁证明。同时运用面积原理与极限的定义证明了S族函数在原点附近具有保二维测度微小变化的性质。     

图算力法

受力矩分配法和力法的启发,图算力法发展成为适用广泛、力学概念清晰、计算程式规范的一种精确计算方法.将结构计算图转化为等价的0阶计算图.由构建方法的需要,区分为主、附未知量.边看计算图边计算其主附未知量,图算有收敛计算和复原计算.     

在等距节点处的反周期函数的一类三角插值问题

研究了以π为周期的反周期函数的一类缺项三角插值,解决了在等距节点处的反周期函数的(0,P(D))三角插值问题,得到了解存在的条件、插值函数的显式表达式及其收敛阶.     

AN SQP METHOD BASED ON SMOOTHING PENALTY FUNCTION FOR NONLINEAR OPTIMIZATION WITH INEQUALITY CONSTRAINT

1 IntroductionIn tabs paper, we consider the following nonlinear optbostion problem:where j: Re - R, g: Re - Re are continuously ~ntiable functinns. SoP method forproblem (1) generates a sequence of points which converges to a K--T point of problem (1)through the following iterate formulaxk 1 = x* adds (2)adhere da is the solution of the following quadratic Prograrxuning problemin which Bh is a sylnlnetric positive deflate lllatris and A* is a stepsise obtained by some lineseaxch to redu…     

两两NQD阵列加权和的L^r收敛性

两两NQD列是一类非常广泛的随机变量列，后来的许多负关联列都是在此基础上繁衍出来的．该文讨论了零均值的行两两NQD阵列{Xm；1≤i≤kn↑∞，n∈N}在满足r（1≤r〈2）阶h-可积条件下的L^r收敛性，即：limEn→∞｜kn^-1/rSnkn｜^r=0，获得了与独立情形一致的结果，全面改进了陈平炎关于两两NQD随机序列L^r收敛性的工作．     

LIMIT THEOREMS AND OPTIMAL DESIGN WITH ADAPTIVE URN MODELS

In this paper we study urn model, using some available estimates of successes probabilities, and adding particle parameter, we establish adaptive models. We obtain some strong convergence theorems, rates of convergence, asymptotic normality of components in the urn, and estimates. With these asymptotical results, we show that the adaptive designs given in this paper are asymptotically optimal designs.     

关于J.Rossi定理的评注

主要指出J.Rossi定理中的一个错误,并利用已有事实重新给出了证明.     

ρ~-混合随机变量序列加权和的完全收敛性质

应用ρ-混合随机变量序列截断法、Hlder不等式、Markov不等式、Jensen不等式、Cr不等式及ρ-混合随机变量的Rosenthal型矩不等式,考察在没有同分布假设条件下,ρ-混合随机变量序列加权和的完全收敛性质,并利用Borel-Cantelli引理,给出ρ-混合随机变量序列加权和的Marcinkiewicz-Zygmund型强大数定律.     

IDENTIFICATION OF TIME-VARIANT CONTINUOUS SYSTEM BY A QUASI-NEWTON METHOD

1 IntroductionThis paper presents a quasi-Newton method in infinite-dimensional spaces for identifyingparameters involved in a time-variant continuous, nonlinear system of differential equations.It is well known that quasi-Newton methods are considered to be those of the most success-ful algorithms used for numerically solving optimization problems in finite-dimensional spaces.But, few papers discuss these methods in system identification research. Because many iden-tification problems can be…