共轭可交换性及其在集合形式单调类定理中的应用

引入了集列的极限运算与二元集运算之间的共轭可交换性的概念,讨论了常见的和重要的集列的极限运算与集代数运算之间所具有的共轭可交换性质,在一般的情形下证明了共轭可交换性是集类的极限运算生成类对集代数运算具有封闭性的一个充分条件,使得集合形式的单调类定理的理论得到了统一的解释,并且证明更简单,思路更清晰,最后还给出了一个新的集合形式的单调类定理.     

相协样本半参数回归模型估计的矩相合性

考虑半参数回归模型Y(j) (xin,tin) =tinβ g(xin) e(j) (xin) ,1 ≤j≤m ,1 ≤i≤n .利用最小二乘法和权函数估计方法 ,定义 β ,g的估计量βm ,n和gm ,n(x) ,在负相依样本及较弱的条件下证明了这些估计的矩相合性 ,这些结论推广和改进了胡舒合 ( 1 997)关于独立情形的相应结论 .     

Unconventional Coding Technique Applied to Multi-Level Polarization Modulation

A new technique is proposed to improve information confidentiality in optical-fiber communications without bandwidth consumption. A pseudorandom vectorial sequence was generated by a dynamic system algorithm and used to codify a multi-level polarization modulation based on the Stokes vector. Optical-fiber birefringence, usually considered as a disturbance, was exploited to obfuscate the signal transmission. At the receiver end, the same pseudorandom sequence was generated and used to decode the multi-level polarization modulated signal. The proposed scheme, working at the physical layer, provides strong information security without introducing complex processing and thus latency.     

Incorporating additional meta-objectives into the extended lexicographic goal programming framework

This paper introduces two new meta-objectives into the extended goal programming framework. The first meta-objective is the number of unmet goals and the second is a measure of closeness to the pairwise comparisons given by the decision maker. These complement the original two meta-objectives of the weighted sum of deviations and the maximal weighted deviation to provide a flexible four meta-objective framework. Lexicographic and non-lexicographic representations of the framework are developed. An example relating to transportation is solved in both the lexicographic and non-lexicographic forms. Weight sensitivity analysis is applied to the meta-weight parameters for the non-lexicographic case in order to find a range of available distinct solutions.     

曲面调和映照的广义Frenet公式及其应用

本文建立了从曲面到复Grassmamn流形调和映照的广义Frenet公式。作为应用，我们得到了调和映照为强共形的一个等价条件。我们也讨论了等距调和映照的曲率pinching性质。从而改进了有关伪全纯曲线的相应结果。     

同分布两两NQD列的最大值不等式及其应用

设{xn，n≥1}是同分布的两两NQD列，记Sn=∑i=1Xi^n．本文讨论了max ｜Si｜/i（n≥1）的分布函数的上下界．作为应用，获得了随机变量supn≥｜Sn｜/n型的1阶矩及p（〉1）阶矩分别存在有限的充分必要条件，这是一个与独立同分布场合相一致的结果．     

一类抽象算子方程组的迭代解及其应用

在Banach空间中, 利用半序方法讨论了一类抽象算子方程组解的存在唯一性, 推广和统一了以前的一些结果. 然后应用到 Banach 空间非线性积分方程组, 得到了方程组的唯一解, 构造了收敛于方程组唯一解的迭代序列并给出了相应的误差估计.     

The almost periodic type difference equations

In this paper, we study the existence of almost periodic type solutions of difference equations by means of exponential dichotomy and trichotomy of linear difference equations.     

关于可交换随机变量序列的重对数律

本文讨论了可交换随机变量序列{Xn:n≥1}的重对数律。