讨论

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。

This paper begin with a review of curves and surfces modeling, then we discuss the parametric polynomial minimal surface. This is followed by a discussion of the representations of catenoids and helicoids. Next, we discuss the numeric approximations to the minimal surfaces with piecewise polygons and B-Spline surfaces.

全文安排如下首先，我们简要回顾曲面造型历史和发展现状在第二和第三章，讨论参数多项式极小曲面；在第四章讨论悬链面和螺旋面的表示；在第五章讨论极小曲面的分片线性逼近；在第六章讨论极小曲面的B-样条逼近；最后，我们对全文做简单的总结。

The first chapter discusses the origin of poly-choral style, including historical background on the tradition of psalms singing. The second chapter focuses on Renaissance time at Venice, and discusses the politics, artistic, glass craft, mosaic art synopsis at that time. The third chapter discusses poly-choral music of Venetian school in the early times of 16th century, and main composers of Venetian school including: Andrian Willaert, Andrea Gabrieli, Giovanni Gabrieli, and Claudio Monteverdi in early time of Baroque period. The fourth chapter discusses poly-choral works, the effects of the acoustics "stereo sound", questions of chorus establishment, textures, and questions of annotation and questions when conducting these pieces based on the discussion and summary from the previous three chapter.

第一章讨论的是复合唱风格的源起，包括诗篇对唱式唱法的传统溯源；第二章讨论文艺复兴时期的威尼斯，包括政经情况，及艺术、玻璃工艺、马赛克艺术的简介；第三章讨论威尼斯乐派在十六世纪早期的复合唱雏型，及盛期的主要作曲家，包括：威拉尔、安德拉E噶布里埃利、乔望尼E噶布里埃利，及巴罗克早期的孟特威尔第…等复合唱作曲家的风格；第四章整合前三章的论述，由实际的复合唱作品，讨论「立体声」的音响效果、合唱团的编制、织度问题，以及诠释及指挥上会遇到的问题。

First mostly contraposing hull deck structure it goes along FEA analysis, discuss the different influence degree of calculational results between the different simplifications of the mathematical model, thereinto mostly analyse five different simplifications of the deck model; Second contraposing hold section and hull deck structure it goes along FEA analysis together, discuss the different influence degree of calculational results between the different elements style, gridding number and gridding density, thereinto mostly analyse the difference between adopting 8 node shell element and 4 node shell element, nondense gridding and thick gridding, and numerous gridding number and few gridding number, In the end mostly contraposing hold section structure it goes along FEA analysis, discuss the different influence degree of calculational results between the different boundary conditions, thereinto mostly analyse the difference between adopting CCS boundary conditions and LR boundary conditions.

首先主要针对船体甲板结构进行分析研究，讨论结构简化不同对有限元计算结果的影响程度，其中主要研究分析了五种不同甲板结构简化模型；紧接着针对舱段与甲板结构一起进行分析研究，讨论单元类型，网格数量与密度的不同对有限元计算结果的影响程度，其中主要研究分析了分别采用8节点板壳单元与4节点板壳单元的不同，以及分别采用疏的网格与密的网格，多的网格数量与少的网格数量的计算结果的差异。最后主要针对舱段模型进行分析研究，讨论不同的边界条件对有限元计算结果的影响程度，其中主要研究分析了分别采用CCS舱段边界条件与LR舱段边界条件进行有限元计算而带来的结果上的差异。本文第二部分为港工建筑物中的大直径薄壁圆筒结构的有限元比较分析。在研究大圆筒的有限元比较分析中，主要讨论用不同的网格密度与数量来划分网格引起的差异。其中用了网格密，数量多与网格疏，数量少两种模型进行大圆筒结构的有限元分析对比

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。

A detector array target of laser distant-field detect system is designed, and two key factors are analyzed. To determine the size of the array target, the laser diffract effect and the influence of atmospheric turbulence are discussed, three factors that influence the resolution of the array target are analyzed. Three factors are the dimension of laser speckle resulted by atmospheric turbulence, space sampling frequency based on sampling theory and the loss of the frequency spectrum function of the array detector.

设计了一种激光远场直接探测系统，对系统中的两个关键问题进行了讨论，一、在探测器阵列靶板尺寸的确定问题上讨论了激光的衍射效应和大气湍流的影响；二、在探测器阵列靶板分辨率的确定问题上讨论了激光的衍射效应和大气湍流的影响；对第二问题讨论了对其有影响的三个方面：大气湍流引起激光碎斑尺寸，由采样定理决定的空间采样率，由阵列探测器的频谱函数引起的损失。

In chapter Ⅰ, a historial review of structure control is given; In chapter Ⅱ, A discussion of the controllability and observablity of flexible structures is given, Two kinds of controllability and observablity index are defined, and applied to actuator allocation; chapter Ⅲ considers the reduction of high order flexible structure mode; the content of chapter Ⅳ is about the basic problem of distributed parameter control system design. It is proved that a stable controllor in mode space may be unstable in real use in distributed paramater systems, also, by closed loop mode concept, a pole assignment method of flexible structure controllor design is given; chapter Ⅴ is about the low-authority controllor design, it is pointed out by use of high order eigenvalue/eigenvector perturbation, a better controllor can be designed; chapter Ⅳ considers flexible structure reduced order control; chapter Ⅶ disscusses the basic problem of flexible structure computer control, analyses discreate controllablity and observablity and its computing, the sample period and coefficient wordlength; chapter Ⅷ is on the problem of low flexibility compensation; chapter Ⅸ is a design example.

在第一章简要回顾了挠性结构控制的历史，并且指出控制中的一些问题；第二章讨论了挠性结构的能控性与能观性，定义了两类能控性程度和能观性程度指标，还将能控性程度概念应用于执行器位置的确定；第三章论述了高阶模型的降价问题，比较了适于挠性结构模型降阶的方法，指出其适用范围；第四章内容是分布参数系统设计的基本问题，首先证明在模态空间中设计的稳定的控制器在实际分布系统上可能是不稳定的，进而根据闭环模态的概念，获得挠性结构控制器设计的极点配置方法；第五章的内容是关于低权控制器的设计问题，指出利用特征值高价摄动和特征向量的摄动，可以设计出更加完善的低权控制器；第六章讨论挠性结构降阶控制问题；第七章讨论挠性结构计算机控制的基本问题，分析了时间离散化模型的能控性和能观性及其计算问题，讨论了采样周期选择和系数字长问题；第八章讨论低挠性结构的补偿问题；第九章的设计例子用来说明第二章和第四章的结果。

Research findings indicate that: 1 most students like SGD; 2 those most highly ranked causes of SGD failures are: poor preparation, others inactiveness, and low proficiency of English 3 those most highly ranked facilitating factors are: a respect, self confidence, sense of achievement and patience of students, b morale boosting, appropriate body language, praise, and good personalities of teachers, c interesting and relevant topics, appropriate time allocation and variety in discussion content for the activity itself.

研究结果表明：1大部分学生喜欢小组讨论；2导致小组讨论失败的因素主要是：准备不充分、别的同学的不积极、英语水平的不够高等；3最能促进小组讨论的因素有：同学的尊敬、自信、成就感和耐心等；教师的表扬、合适的身体语言、好的个性等；有趣的并且与学生有关的话题、合适的时间安排、讨论内容的多样化等。

In this paper,using the method of,we discuss septic Lacunary interpolation spljne,which is a generalization of,we derive some results on asymptotic representation,approximation degree and saturation

1—[3]讨论了五次缺插值问题，而[4]对它提出了一种分析方法，用这种方法来进一步讨论高次的缺插值问题是成功的，本文就是用这种方法讨论七次的问题，可以得到它的一些渐近式、逼近阶及饱和度的若干结果我们所讨论的七次样条 S_n它满足下列条件

The sixth chapter studies the relationship between MMs and stylistic feature, taking a dynamic perspective to study style, with the second section of this chapter analyzing the usages of MMs in report text and comment text of news style, the third comparing the different usage of three Chinese translations of Uncle Toms Cabin, the fourth analyzing the usage of MMs in three kinds of modern Chinese text , the fifth comparing the usage of MMs in three disciplines academic text and The sixth discussing the interactional rehtorical model, including the establishment of self-identity of speaker/writer, the expectation to reader/hearer, and the intertextuality interaction.

第六章讨论元话语和各语体语篇语体特征的关系，认为从元话语的角度来分析语体是从动态的角度来探讨言语行为和语体类型之间的关系，第二节讨论了报道体和时评体语篇中元话语使用情况，第三节比较了Uncle Tom's Cabin的文言文、古代白话和现代汉语三个译本中元话语标记使用的差异，第四节比较现代汉语三种语体文本中元话语标记使用情况，第五节讨论三个专业的学术论文中元话语标记的使用差异；第六节讨论元话语与语篇的互动修辞，讨论了语篇中表达者自我身份的确立、语篇对接受者的期待和呼吁和语篇的互动模式，说明元话语研究对探讨语篇的修辞互动模式和结构具有重要的意义。

Neither the killing of Mr Zarqawi nor any breakthrough on the political front will stop the insurgency and the fratricidal murders in their tracks.

在对危险的南部地区访问时，他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

实际上 我们已接通卫星可视电话了