强函数

The propagation equations for oblique and off-axial Gaussian beams passing through cat-eye optical lens are deduced by using the theory of matrix optics and expanding the aperture function into a finite sum of complex Gaussian functions.

运用矩阵光学理论以及将硬边光阑窗口函数展开为有限个复高斯函数之和的方法，进一步推导了倾斜离轴高斯光束通过猫眼光学镜头的解析传输公式，通过数值计算分析得到了倾斜系数和离轴量对猫眼效应反射光光强分布的影响规律。

It consists of fitting seismic ray traveltimes and positions to data calculated by ray tracing. In order to improve inversion stability and efficiency, seismic ray is described by Hamilton function and ray tracing is done in phase space. Validation tests on synthetic and practical data are analyzed. The tests show that this tomographic method is effective for estimating velocity field in complex media.

为提高反演的稳定性和计算效率，引入了Hamilton函数描述射线，在相空间计算反演所需的射线路径和目标函数对模型参数的导数，对理论模型和实际地震资料进行了试算，试算表明该方法对复杂介质具有较强的适应能力。

The solitary wave can be generated considering Goring and Raichlen's movement of a paddle. The proposed original linear solution for the solitary wave generation is expressed in the hypergeometric function. Two disadvantages of the original solution with large trailing wave and skewed wave profile are found by comparing with the theory of solitary wave derived from Boussinesq's equation.

本文并以弱非线性的孤立波造波问题做为解析之对象，由於孤立波造波板速度为一超越函数，造成解析上的困难；本文以 hypergeometric 函数推求常微分方程式之全解，并与理论波形解比较后，发现由於未考虑非线性及分散性过强等问题，使得线性暂态解较理论波形拉长与歪斜，可能无法有效描述孤立波造波问题，故针对线性之分散关系做出修正。

The solitary wave can be generated considering Goring and Raichlen's movement of a paddle. The proposed original linear solution for the solitary wave generation is expressed in the hypergeometric function. Two disadvantages of the original solution with large trailing wave and skewed wave profile are found by comparing with the theory of solitary wave derived from Boussinesq's equation. The difference between the original linear solution and the solitary wave theory results from the nonlinearity and dispersion of generated waves in the flume.

本文并以弱非线性的孤立波造波问题做为解析之对象，由於孤立波造波板速度为一超越函数，造成解析上的困难；本文以 hypergeometric 函数推求常微分方程式之全解，并与理论波形解比较后，发现由於未考虑非线性及分散性过强等问题，使得线性暂态解较理论波形拉长与歪斜，可能无法有效描述孤立波造波问题，故针对线性之分散关系做出修正。

This paper analyses the homogenous tendency of open-end fund at first,pointing out that unperfect development of market and investors' immature investment opinions is the origin of such phenomena. Secondly,having compared the fund sizes and purchase fee rates of 25 open-end funds in China,conclude that there are problems of diseconomy of scale and indistinctive relativity between fees and achievement in Chinese open-end funds. Then this paper introduces benefit and cost function to analyze the problem of lack of motivation and constrain mechanism towards fund managers because of unreasonable fees in China. Thirdly,this paper analyze funds managers' normal hazards by static game model,and then points out fund managers have serious tunneling behaviors in Chinese open-end fund industry. In the end,this paper analyzes the causes of liquidity risk of open-end fun and the particularity of liquidity risk of open-end fund in China,and concludes that liquidity risk in Chinese open-end fund industry is higher through calculating the rates of share change and comparing the portfolio selections of top 20 open-end funds in China.

本文首先分析了我国目前存在的基金产品同质化现象，指出市场发展的不完善以及投资者投资理念的不成熟是同质化的根源所在；其次对比了我国现有的25只开放式基金的规模和申购费率，得出了我国开放式基金存在着规模效应不明显以及基金业绩与费率相关性不强的问题，并引入效益函数和成本函数分析了由于我国开放式基金费率不合理引发的基金管理者激励约束机制缺失的问题；再次，应用静态博弈模型分析了基金管理人面临的道德风险，指出目前我国开放式基金由于监管机制脆弱而存在着较为严重的管理者利益输送行为；最后，分析了开放式基金流动性风险的形成原因以及我国基金市场流动性风险的特殊性，并通过计算目前我国基金资产规模前20位的开放式基金的份额变动率以及比较它们的投资组合结构，得出了目前我国开放式基金流动性风险偏大的结论。

In chapter 3 constructs firstlya new differential merit function by a perturbation structure of VIP and study theproperties of this merit function.Based on this merit function,a continuation-typeNewton method is proposed,which use the technique of inexact linear search forassuring its global convergence,and improves essentially the method of Taji,Fukushima and Ibaraki which can only solve the strong monotone VIP,and has locallyquadratic convergent rate under some condition.

第三章利用变分不等式问题的一种扰动结构构造了新的可微效用函数，并研究了效用函数的性质；在此基础上，给出了一类求解一般单调变分不等式问题的连续型Newton方法CN，方法采用了不精确的线性搜索技术以确保整体收敛性，从本质上改进了Taji、Fukushima和Ibaraki方法只能求解强单调变分不等式问题的局限性，同时又保持了局部二次收敛率。

Some limit properties of the multivariate function sequences of the nonnegative integer-valued random variables are studied by using the differentiation of measures on a net and the conditional moment generating function s, and some strong limit theorems related to the conditional expectations are obtained.

利用测度关于网的微分法和条件矩母函数的工具研究非负起值随机变量多元函数序列的极限性质，得到了若干与条件数学期望有关的强极限定理

A strong limit theorem on gambling strategy for Bernoulli sequences is extended to the sequences of arbitrary dependent random variables which take numberable values by using the conditional moment generating function .

利用条件矩母函数将关于Bernoulli序列赌博策略的一个强极限定理推广到取可列值的任意相依随机变量序列的情况，并且通过允许选择函数在一个区间中取值，推广了随机选择的概念。

In this paper, by using some characteristic quantities such as value function, trust region radius, etc. in trust region method, we present a global error bound for the distance between a feasible solution and the optimal solution under the condition that the gradient vector of the objective function is strongly monotone.

本文利用信赖域方法中的几个特征量（由预测下降量给出的价值函数与信赖域半径等），在目标函数的梯度向量是强单调的条件下，为约束最优化问题的可行解与最优解之间的距离提供了一个全局误差界。

According to the relation between intensity Autocorrelation Function and normalized light field ACF,the effect of different baseline values on the results measured by using Photon Correlation Spectroscopy was presented.

针对光强自相关函数与归一化光场自相关函数之间的关系，指出基线值的不同会影响到颗粒粒径和分散度的测量结果。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。