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From the analysis of the spectrum of black-body radiation, the concept of quantization is introduced and the duality of matter and wave is also introduced.

从黑体辐射之频谱分析开始，引入量子化的概念；进而推出物质与波动之二象性。

English Description From the analysis of the spectrum of black-body radiation, the concept of quantization is introduced and the duality of matter and wave is also introduced.

Chinese Description 从黑体辐射之频谱分析开始，引入量子化的概念；进而推出物质与波动之二象性。

The paper contains four parts. In the first chapter, the application back ground and the main algorithms of the complementarity problems is introduced. In Chapter 2, some basic definitions and theories of complementarity problems are introduced. The 3rd chapter is the most important part of this paper, in which a modified smoothing Newton method is detailed; also the global convergence is established for the method.

全文共分为四章，各部分内容安排如下：第一章是绪论部分，介绍了互补问题的应用背景和近年来有关互补问题求解方法的研究成果；第二章是预备知识，介绍了与求解互补问题有关的一些定义以及相关的定理和推论；第三章是本文的重点，提出了求解互补问题的一种修正的光滑Newton算法，从理论上对算法的全局收敛性了证明；第四章是这种修正的光滑Newton法用于求解广义非线性互补问题中，同样证明了算法的全局收敛性。

ABSTRACT In the first chapter, the basic theory and developing phases of spread spectrum communication are introduced. Smart antennas technology is introduced based on comparison of different multiple address methods. The main technical character of smart antennas and the progress in the application are also summarized.

本论文讨论了移动通信CDMA系统中智能天线技术的应用，论文第一章介绍了扩频通信的理论基础及发展阶段，在比较不同多址通信方式的同时引入智能天线技术，归纳了智能天线的主要技术特点，总结了目前智能天线技术在理论和应用中的进展，最后介绍了本文所做的主要工作。

Secondly, three kinds of mathematics model of optical vortex beams were introduced here. Then the propagation dynamics of optical vortex beams through the non-axis symmetry system is studied, this chapter includes the introduction of the symmetry vortex beam and the non- symmetry vortex beam, the deduction of the Collins diffract integral formula for the non-axis symmetry system, and the transformation of the vortex beam passing through the non-axis symmetry system has been described by using the numerical simulation. Then the general calculation for the orbit momentum of vortex beams, the matrix form for the orbit momentum of vortex beams, and the photon method to describe the orbit momentum of vortex beams are also introduced here. Finally, the interference about optical vortex beams was studied.

本文对涡旋光束进行了较为全面的介绍和研究，主要内容包括：（1）光学涡旋光束的基本理论，主要是介绍了单个光学涡旋光束在柱坐标中的一些表征，涡旋光束的奇异相位和光学涡旋的相位结构；（2）光学涡旋光束的三种数学模型；（3）光学涡旋光束在非轴对称光学系统中的传播动力学，其中介绍了对称涡旋光束与非对称涡旋光束，推导了非轴对称光学系统的 Collins 衍射积分公式，并利用计算机模拟图描述了对称涡旋光束经过非轴对称光学系统后涡旋形态的改变；（4）涡旋光束轨道角动量的一般计算，涡旋光束轨道角动量的矩阵形式，光子法描述涡旋的轨道角动量；（5）涡旋光束的干涉。

In chapter one, the background and current situation of the nonlinear operator theory in probabilistic metric spaces are introduced, and the preliminaries of probabilistic metric spaces are given. The main problems studied in the thesis, the expected conclusions and the study and research significance of this thesis are introduced.

第一章，介绍了概率度量空间中非线性算子理论发展的历史背景、现状以及概率度量空间中的预备知识；介绍了本文所研究的主要问题、预期取得的结果以及研究意义。

At present,the hybridization of Differential Evolution with local search method confines to DE with a crossover based local search method.A novel differential evolution algorithm with best-individual based Local Search strategy is proposed.In LSDE,a normal distribution operator is introduced to automatically modify search length,and time-varying factors are introduced to modify the two parameters of DE.

针对目前差分进化与局部搜索相结合仅局限于基于交叉的局部搜索的方法，提出了一种基于最佳个体局部搜索策略的差分进化算法，并引入正态分布算子自动调整搜索步长和时变差分进化因子调整DE的两个参数。

The general introduction part is divided into four sections, in section 1, a survey of culture and geography of LongChuan County, especially the town of LaoLong in souther part, CheTian in center, MaBugang in norther part are introduced. We briefly review the research of time adverbs in morden Chinese and hakka dialect in section 2; In Section 3 we gives a brief introduction of research content and point out the meaning of this paper, the methods are also introduced; In section 4 we introduce the source of materials and special symbols used in this paper.

引言部分分四节，第一节介绍了龙川县人文地理概况，重点介绍了南部老隆镇、中部车田镇、北部麻布岗镇的人文地理概况；第二节简单回顾了现代汉语和客家方言的时间副词研究，说明系统描写分析客家方言时间副词的重要性；第三节介绍了本课题的研究对象，说明了本课题研究的意义和方法；第四节介绍了论文的语料来源及文中将会出现的特殊符号。

The theory of north finding is first introduced, and the measuring method of north azimuth is brought forward according to a fast north finding theory based on analysis method; the hardware structure of northing finding system is introduced too, which provides the theory basis and hardware environment for north finding system software design.

文中首先介绍了寻北系统的工作原理，根据基于解析方法的快速寻北原理，提出了北向方位角的测量方法；介绍了寻北系统硬件平台的构成，为寻北系统软件设计提供了相关理论基础和硬件环境。

This article introduced the C # language used to generate a straight line of three commonly used method: numerical differentiation, in line and stipple Bresenham algorithm, and then introduced the mid-point algorithm Circle, the polygon algorithm.

本文主要介绍了用C＃语言生成直线的三个常用算法：数值微分法、中点画线法和Bresenham算法，然后介绍中点画圆算法、多边形的生成算法。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。