Effect of the Initial Mass Function of Primaries on Binary Stellar Populations

Using evolutionary population synthesis technique, we explore the behaviour of the integrated U-B,B-V, V-R and R - I colours, the integrated spectral energy- distributions (ISEDs) and Lick/IDS absorption-line indices of instantaneous burst solar-metallicity binary stellar populations, as a function of the initial mass function (IMF)of primaries. It is found that the variation of the IMF of primaries produces a small effect on the integrated colours and the Lick/IDS indices, while a significant difference in the absolute ISEDs.     

Pre—Separation Axioms in Fuzzifying Topology

1　 IntroductionYing[5,6 ] introduced and elementally developed so called fuzzifying topology with the semanticmethod of continuous valued L ogic.Shen[7] introduced and studied T0 -,T1-,T2 (Hausdorff) -,T3(regularity) -,T4 (normality) -separation axioms in fuzzifying topology.In [3 ]the concepts of thefamily of fuzzifying pre-open sets,fuzzifying pre-neighbourhood structure of a point and fuzzifyingpre-closure are introduced and studied.It is worth to mention that pre-separation axioms are …     

带有单模糊映射的一般变分不等式解的存在性

众所周知，在各种变分不等式问题中，解的存在性是最基础也是最重要的问题之一．本文的目的是在Hilbert空间中研究带有单模糊映射的一般变分不等式解的存在性．此外，还讨论了几种特殊情况．     

On the 2k-th Power Mean of Inversion of L-functions with the Weight of the Gauss Sum

The main purpose of this paper is to use the estimate for character sums and the method of trigonometric sums to study the 2k-th power mean of the inversion of Dirichlet L-functions with the weight of the Gauss sums，and give a sharper asymptotic formula．     

多目标半定规划的互补弱鞍点和G-鞍点最优性条件

对于含矩阵函数半定约束和多个目标函数的多目标半定规划问题，给出Lagrange函数在弱有效意义下的互补弱鞍点和Geofrrion恰当有效意义下的G-鞍点的定义及其等价定义．然后，在较弱的凸性条件下，利用含矩阵和向量约束的择一性定理，建立多目标半定规划的互补弱鞍点和G-鞍点充分必要条件．     

n元函数极值的探讨

在高等数学或数学分析的教学中，经常遇到这样的问题：如何将二元函数求极值的方法推广到，n元函数中去。这一问题在教材中很小涉及，本在[1]、[2]基础上，讨论了，n(n≥2)元函数极值点的判别法，确立了判别临界点为极值点的一个充分条件。这些条件与[1]、[2]的方法是等价的，但方法简单。     

Second Order Nonlinear Evolution Inclusions Ⅰ： Existence and Relaxation Results

This is the first part of a work on second order nonlinear, nonmonotone evolution inclusions defined in the framework of an evolution triple of spaces and with a multivalued nonlinearity depending on both x（t） and x（t）. In this first part we prove existence and relaxation theorems. We consider the case of an usc, convex valued nonlinearity and we show that for this problem the solution set is nonempty and compact in C^1 （T, H）. Also we examine the Isc, nonconvex case and again we prove the existence of solutions. In addition we establish the existence of extremal solutions and by strengthening our hypotheses, we show that the extremal solutions are dense in C^1 （T, H） to the solutions of the original convex problem （strong relaxation）. An example of a nonlinear hyperbolic optimal control problem is also discussed.     

S3上阿诺德弦猜想中的变分方法

本文使用变分方法证明了三维标准切触球的标准勒让德扭结，至少存在一个弦连结适应于标准切触结构的任何选定切触形式，这部分证明了著名的阿诺德弦猜想。     

线性度对线性调频信号脉冲压缩的影响

对大时带宽线性调频信号的非线性与脉冲压缩的关系进行了理论研究和仿真，分析了误差函数的信号形式，由此得出不同误差形式对脉压结果产生的影响。理论和仿真数据表明：线性度的大小对脉压结果影响很大，能提高旁瓣电平同时造成主瓣展宽，分辨率降低以及主瓣峰值下降。     

PMD补偿反馈控制信息DOP与DGD的数学模型

与电功率反馈控制信息相比,偏振度(DOP)作为偏振模色散(PMD)动态补偿技术中的反馈控制信息在码率透明等方面有其优势.本文以准单色光理论和2×2相干矩阵为基础,推导了DOP与差分群延迟(DGD)之间的一般数学关系,推导中考虑了光脉冲波形函数、脉冲宽度、光在两个偏振主态上分光比等因素对这一关系的影响;给出了表示两偏振主态(PSP)方向上光脉冲交叠程度的相干函数;计算了当脉冲波形函数为高斯型时DOP的表示式,给出了当分光比为0.5和不同高斯脉冲宽度下光偏振度随差分群延迟变化的关系曲线.将理论计算结果与用10Gb/s的伪随机序列在归零码(RZ)下的实验测量数据进行了比较,表明在一定的DGD范围内理论计算与实验结果一致.