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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。

The main results are as follow:(1) Systematically discussed the methods that built up the DEM by the contour line, we put forward new algorithms of auto-adding characteristic points that eliminated the "plane triangle" in constructing TIN and approximating important characteristic points by Lagrange interpolation polynomial.

主要成果有：(1)系统地论述了基于等高线建立DEM的方法，提出新的消除TIN构造中出现"平三角形"的算法——自动增加特征点和利用拉格朗日插值多项式拟合重要地形特征点，并验证算法对TIN结构的优化。

Hot money is not the main drag 4,000 points 5,000 points, or let you get out on the stock market

热钱并不是主要的阻力4000点5000点，或者让你对股市进行

In the main-process, the coordinates of nodal points on part outline curve can be calculated by replacing this curve with a linear approximation. The codes expressed in NC program form which can be recognized by NC machine tool are got according to the coordinates of these nodal points in the post-process.

在前置处理中，用直线逼近零件轮廓，得到轮廓曲线的节点坐标：在后置处理中，根据这些节点坐标按照数控程序的格式得到数控机床可以辨认的程序代码。

The storage method utilizes the periodic orbits embedded in chaotic attractors for information storage. The main idea is to map periodic points on the UPO inside the attractors to some specific information alphabet according to some mapping rule, and thus represent an information string as a sequence of periodic points.

这种存储方法利用离散时间混沌系统中的周期态进行信息存储，其核心思想是将吸引子中周期轨道上的周期点按照一定的规则映射为一定的信息符号，进而用混沌系统的一个周期点序列来代表一个信息串或字符串。

Its theory is based on spherical astronomy and error theory, the main research on the ground coordinates of the points and ground connections between two points, the determination of the azimuth principle, measurement method, calculation method of operating procedures and go.

它的理论基础是球面天文学和误差理论，主要研究地面坐标点和地面两点之间连线的方位角的测定原理、测定方法、操作程序和归算方法。

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。

Based on the research done by previous scholars, the article dwellsupon the following aspects, with the main thread of the development ofXuantian Heaven Emperor belief: probe into the origin of XuantianHeaven Emperor belief and points out Xuantian Heaven Emperor belief isa product of celestial body worship, animal worship and water worship;discuss the relationship between the Xuantian Heaven Emperor belief andpolitics in the Ming Dynasty and points out the flourishing of XuantianHeaven Emperor belief in the Ming Dynasty results from the promotion bytheir rulers, esp, Emperor Ming Cheng Zhu; probe into the relationshipbetween Xuantian Heaven Emperor belief and civil secret society andtouch upon the influnce of Xuantian Heaven Emperor belief in civil secretsociety; discuss the relation between Xuantian Heaven Emperor belief andliterature and formatire arts, as well as elaborate the mutual influencebetween Xuantian Heaven Emperor belief and formatire arts.

本文在前人研究成果的基础上，以玄天上帝信仰的历史发展为主线，主要探讨了以下几个方面的内容：玄天上帝信仰的由来，指出玄天上帝信仰是天体崇拜、动物崇拜和水崇拜的产物；明代玄天上帝信仰与政治的关系，认为明代玄天上帝信仰之所以兴盛的原因在于明代统治者，特别是明成祖对玄天上帝的推崇；玄天上帝信仰与民间秘密社会的关系，初步探讨了玄天上帝信仰在民间秘密社会中的影响力；玄天上帝信仰与文学、造型艺术的关系，从文学与造型艺术两个方面，阐明玄天上帝信仰与文学、造型艺术之间存在着互动影响的关系。

The testing points in the three main sections are quite obvious, so for the well-learned testees, they can easily catch the points without the disruption of the incorrect items.

试题测验的重点相当明确，因此对於学习成效佳的学习者而言，较易抓住试题重点而能避免其他选项的误导。

To adopt the main-line method in Electric and Electronic teaching,that is the model as aim,aim into questions,questions into points,points into practice,practice into application,by the five steps,we can take good advantage of the students abilities and develop their intelligence fully.

在电工电子课程教学过程中采取&五化&教学法，即：&模块目标化———目标问题化———问题要点化———要点练习化———练习应用化&的&主线贯穿式&教学法，有利于挖掘学生的学习潜能，最大限度地发挥及发展学生的聪明才智。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。