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This dissertation investigates the construction of pseudo-random sequences (pseudo-random numbers) from elliptic curves and mainly analyzes their cryptographic properties by using exponential sums over rational points along elliptic curves. The main results are as follows:(1) The uniform distribution of the elliptic curve linear congruential generator is discussed and the lower bound of its nonlinear complexity is given.(2) Two large families of binary sequences are constructed from elliptic curves. The well distribution measure and the correlation measure of order k of the resulting sequences are studied. The results indicate that they are "good" binary sequences which give a positive answer to a conjecture proposed by Goubin et al.(3) A kind of binary sequences from an elliptic curve and its twisted curves over a prime field F_p. The length of the sequences is 4p. The "1" and "0" occur almost the same times. The linear complexity is at least one-fourth the period.(4) The exponential sums over rational points along elliptic curves over ring Z_ are estimated and are used to estimate the well distribution measure and the correlation measure of order k of a family of binary sequences from elliptic curves over ring Z_.(5) The correlation of the elliptic curve power number generator is given. It is proved that the sequences produced by the elliptic curve quadratic generator are asymptotically uniformly distributed.(6) The uniform distribution of the elliptic curve subset sum generator is considered.(7) We apply the linear feedback shift register over elliptic curves to produce sequences with long periods. The distribution and the linear complexity of the resulting sequences are also considered.

本文研究利用椭圆曲线构造的伪随机序列，主要利用有限域上椭圆曲线有理点群的指数和估计讨论椭圆曲线序列的密码性质——分布、相关性、线性复杂度等，得到如下主要结果：(1)系统讨论椭圆曲线-线性同余序列的一致分布性质，即该类序列是渐近一致分布的，并给出了它的非线性复杂度下界；(2)讨论两类由椭圆曲线构造的二元序列的"良性"分布与高阶相关性(correlation of order κ)，这两类序列具有"优"的密码性质，也正面回答了Goubin等提出的公开问题；(3)利用椭圆曲线及其挠曲线构造一类二元序列，其周期为4p(其中椭圆曲线定义在有限域F_p上)，0-1分布基本平衡，线性复杂度至少为周期的四分之一；(4)讨论了剩余类环Z_上的椭圆曲线的有理点的分布估计，并用于分析一类由剩余类环Z_上椭圆曲线构造的二元序列的伪随机性；(5)讨论椭圆曲线-幂生成器序列的相关性及椭圆曲线-二次生成器序列的一致分布；(6)讨论椭圆曲线-子集和序列的一致分布；(7)讨论椭圆曲线上的线性反馈移位寄存器序列的分布，线性复杂度等性质。

In the end, the main content of this dissertation is addressed.In chapter 2, based on the analysis of present vibrators principle and structure, two kinds of transfer functions and frequency response curves of the vibrator, driven by voltage feedback power amplifier and current feedback amplifier, are given separately. And turnover frequencies between different frequency rangs are also given.

第二章分析了标准振动台的工作原理和结构，在此基础上，建立了标准振动台的机械和电气方程，给出了恒压源和恒流源功放激励下的振动台传递函数及幅频、相频特性曲线，列出了不同频段间的转折频率。

Before the city was even fully secured, Manstein was given the rank of field marshal for the victory, and was given a vacation in Romania for him to rest.

在塞瓦斯托波尔还未完全被德军占领以前，曼斯坦因就因为这场胜利被晋升为元帅，他还获得了在罗马尼亚休假的机会。

For a bishop must be blameless, as the steward of God; not selfwilled, not soon angry, not given to wine, no striker, not given to filthy lucre

1：7 监督既是神的管家，必须无可指责，不任性，不暴躁，不因酒滋事，不打人，不贪无义之财

For a bishop must be blameless, as the steward of God; not selfwilled, not soon angry, not given to wine, no st***ker, not given to filthy lucre

1：7 ***既是神的管家，必须无可指责，不任性，不暴躁，不因酒滋事，不打人，不贪无义之财

For a bishop must be blamele, as the steward of God; not selfwilled, not soon angry, not given to wine, no striker, not given to filthy lucre

1：7 监督既是神的管家，必须无可指责，不任性，不暴躁，不因酒滋事，不打人，不贪无义之财

In the second part, we give the definition of Loeb measure space ofσ- finite measure space, discuss its properties; Then the Loeb measure space of image measure has been constructed; Finally, the definition of Loeb counting measure is given, by which, a construction of Lebesgue measure has been given, and discuss some simple properties of Lebesgue measurable and integrable function.

在第二部分里，首先给出σ-有限测度空间的Loeb测度空间的定义，讨论该空间上的一些简单性质；接着讨论了像测度的Loeb测度的构造及其性质；随后定义了L(来源：A14BC论文网www.abclunwen.com)oeb计数测度，并用Loeb计数测度给出Lebesgue测度的一种构造形式，同时讨论了Lebesgue可测和可积函数的一些简单性质。

In this paper,the nonstandard analysis theory is used for inducing a metric space by a Loeb measure space.On this basis,a metric space is induced by a internal finitely additive measure space.The close relationship between the metric space induced by a Loeb measure space and the metric space induced by a internal finitely additive measure space is illustrated with the concepts and some properties of Loeb measure.Then,some properties of the metric space that induced by a internal finitely additive measure space are studied.In the first two chapters,we first Succinctly present the origin,development and research states of the nonstandard analysis.Then,the theoretical foundation of nonstandard analysis as well as the axiomatic nonstandard analysis are given.Finally, the nonstandard model and the saturation model are discussed,as well as some natures of the nonstandard model and several equivalent conditions of saturation model are given.

本文利用非标准分析理论，在由Loeb测度空间导出度量空间的基础上，由内有限可加测度空间导出了度量空间，并借助Loeb测度的概念和若干性质证明了由标准的测度空间导出的度量空问和由内有限可加测度这个非标准的测度空间导出的度量空间有着密切的关系，在此关系的基础上还研究了由有限可加测度这个非标准的测度空间导出的度量空间的性质在第一、第二章里，我们首先简单介绍了非标准分析的产生、发展及研究现状，接着给出了非标准分析的理论基础以及公理化的非标准分析，进而讨论了非标准模型和饱和模型，并给出了非标准模型的一些性质和饱和模型的若干等价条件。

Such notices shall be given either personally or by first-class mail or other means of written communication, addressed to the shareholder at the address of such shareholder appearing on the stock transfer books of the corporation or given by the shareholder to the corporation for the purpose of notice.

此种通知书应亲自投送或按公司股票转让登记簿上所登记的股东地址或该股东所提供的用于通知的地址通过一级邮件或其他书面方式投送。

Firstly, the background and the significant of the research is discussed, modern software engineering and its development is also outlined, and the present states and the reason of using the modern software engineering in power systems are also analyzed. Secondly, related theories and methods of the modern software engineering are systematically given in details, which establish the basis of the software development with the software engineering in power systems. Thirdly, the necessity of the developed power system software with the software engineering is analyzed deeply and the key techniques in carrying out the software development with the software engineering are discussed. Based on these, a concrete approach about the software development with the software engineering is proposed. And then, the software design process of 'GPS synchronous monitoring system of Hunan power grid'is given to demonstrate the utilization of the approach proposed. Subsequently, quality and efficiency of the software is analyzed, which indicates the validity of the method used. At last, the main work and fruitage of the thesis is concluded, and the further research is also pointed out.

论文首先论述了课题研究的背景和意义，概述了现代软件工程及其发展，分析了现代软件工程在电力系统中的应用现状及其原因；然后系统地阐述了现代软件工程的相关理论和方法，奠定了电力系统软件工程化开发的理论基础；接着分析了电力系统软件工程化开发的必要性，探讨了实施工程化开发涉及到的关键技术，结合现代软件工程的理论和方法，提出了一种电力系统软件工程化开发的具体方法；之后以湖南电力系统状态GPS 同步监测系统软件的开发为例，详细地阐述了该工程化方法在电力系统软件开发中的具体实践过程，并分析了软件开发的结果，指出了该方法是解决软件开发质量和效率问题的有效途径；论文最后对主要工作和成果进行了总结，并指出了有待进一步开展的工作。

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。