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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。

During the four years study on the project, we develop a dynamical forecast model that describing the subtropical ridge surface. A new theory on the role of the land-sea thermal difference on the formation of the Subtropical High is advanced. It is concluded that in the summer subtropics over each continent and its adjacent ocean LO, SE, CO, and a double-dominant heating from west to east compose a LOSECOD heating quadruplet. The influence of the Eurasia continent on SH varies according to the seasonal variation. From the ideal numerical simulation it is shown the important role of the Eaiuan continent and the huge topography on the mechanism of formation and mantanence of the SH during the summer. It is verified by the numerical simulation that the extension of the subtropical continent into the tropics greatly enhances the " East Asian monsoon". Through the Rossby energy dissipation theory it is verified that the deep latent convective heating induces the onset of the South China Sea monsoon over the Bay of Bengal. The relationship and mechanism between the precipitaiton over the East Asia and the Subtropicla high is illustrated by the data. It is also found the close phase lock between the east-west shift of the SH and the disturbence of the east wind belt over the tropical troposphere. The interaction between the structure and activity feature of the SH and the Meiyu over the Yangtze-Huaihe river valley is revealed from the data. The numerical simulation verified the impact of the different SH pattern on the path of the typhoon.

本项目的研究发展了描述副热带高压脊面变化的动力模型，提出了夏季副热带地区四叶型非绝热加热分布型及相应环流拼图的创新理论；明确了大陆尺度的海陆热力差异在副热带高压形成中的作用；指出欧亚地形对副热带高压和气候的影响随季节变化而变化，通过数值试验证明春季青藏高原的感热加热对亚洲夏季风的爆发地点起了"锚定"的作用，进一步证实了副热带高压断裂和亚洲夏季风的最早爆发地点发生在孟加拉湾东岸；利用Rossby波能量频散理论证明了孟加拉湾深对流潜热释放诱导南海季风爆发的机制；揭示了东亚季风降水的季节内变化与西太副高的关系及机理；揭示了西太副高与东西风带中扰动之间的相互作用过程，指出西太副高的东西活动与热带对流层上空东风带扰动和中纬度西风带扰动的移动和锁相密切相关；研究了夏季淮河流域梅雨期间副高结构和活动特征及其与江淮暴雨的相互作用；验证了不同副热带高压形态对台风路径的不同影响；通过数值试验证明了欧亚大陆和青藏高原等大地形对副热带高压形成和维持的重要作用。

The array consisted of 8 piezoelectric crystal sensors, each coated with an adsorptive material with unselective, but different response characteristics. The frequency shift data obtained from the array as the response to mixed vapour of common organic solvents of small molecular size were treated by using stepwise discrimination analysis, and five coatings that provided the maximum level of analyte discriminating ability were selected. The array constructed from these solvents was applied to recognizing alcoholic hydroxyl, carbonyl from other organic functional groups. The principal component analysis was applied to the original and autoscalled data. The two-dimensional display of the data showed well-defined clusters for solvents containing different functional groups separated from each other. The array was applied to identifying spirits and beverages.

该阵列由八个压电晶体传感器组成，每个传感器涂以具有广谱响应性能的不同吸附活性材料，阵列对常见小分子有机溶剂混合蒸气的响应频移数据采用逐步判别分析处理，选出五个供信能力最佳的判别变量，以此构成的阵列用于小分子有机溶剂混合蒸气中醇羟基、羰基与其它官能团的识别，并采用主成分分析法降维投影，在二维空间含相同官能团的物质聚为一类；阵列可用于酒类、软饮料的识别。

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 Galactic Records shows that the first extraterrestrial race to arrive on Earth was the Draconian Federation from the Alpha Draconis star system, but they failed in the attempt to shift the Earth's eco-system from oxygen-based into hydrogen-based, so they left and later a different fraction of the Draconian A11iance came back to set-up the Lemurian collective in cooperation with other two races from the Alpha Canis and Taurus constellations.

银河记录里显示，第一个到达地球的地外种族是来自Alpha Draconis星系的联盟。但是它们没有能够将地球的生态系统从氧气星球转化成氢气星球，所以他们离开了，之后一部分又返回与另两个种族Alpha Canis 和金牛座，一起建立了姆文明Lemurian。

The results show that the phase shift angle transits from random state to a relatively stable along state with the formation process of cutting chatter and the phase shift angle becomes stable in the early stage of cutting chatter growth.

结果表明，随着颤振的产生，该相位差由无序状态逐渐过渡到相对稳定的状态，并且相位差在颤振产生初期就已经相对稳定。

The results show that the phase shift angle transits from random state to a relatively stable along state with the formation process of cutting chatter and the phase shift angle becomes stable in the early stage of cutting chatter growth.

再生型切削颤振是切削颤振的主要形态，通常所说的切削颤振控制技术从某种意义上说就是控制再生型切削颤振孕育成长的技术。

The furnace body's ф2200×1500 outer covering main body is made of 12mm steel plate,installed sensor in the lower part 45°of furnace body, the sensor is weight 2 ton induction iron cores made from top gear's W-151 the cold rolling 0.35m/m made by Wuhan Steel Silicon steel plate Factory, primary manufactured the water cooling coil from 10×10×2 copper pipe, and installed stainless steelwater cooling cover, the power Frequency Induction melting Furnace 's metal melting fluid namely the sensor sencondary loop, the entire electric furnace is a transformer actually, match a 6 grades self regulating transformer, shift gears by the electric tank control, the voltage may from low to high,divide 6 grade to rise to 380V, each grade of voltage is different, the output power is also different, the furnace temperature is also different along with different grade,so can suit smelting colored or black and so on different melting point metals, and may use as new furnace lining fireproof to smeltdiamantine drying furnace.

炉体由12mm钢板制成Ф2200×1500外壳主体，炉体下部45°安装有感应器，感应器由武钢硅钢片厂生产的最高档的W-151冷轧0.35m/m取向硅钢片制成重2吨感应铁心，初级由10×10×2铜管制成水冷线圈，并安装不锈钢水冷保护套，工频有芯熔炼炉的金属熔液即为感应器的次级线圈，整个电炉实际就是一个变压器，配套一台6档的自耦调压变压器，由电柜控制换档，电压可由低到高，分6级升到380V，每档电压不同，输出功率也不同，炉温也随档位不同而高低不同，以适应熔炼有色或黑色等熔点不同的金属，并可作新炉衬耐火冶金砂烘炉之用。

Hence the G20's most concrete promise, that 5% of the IMF's quotas (which determine countries' share of the votes at the institution) will shift away from overrepresented rich countries. Coming on the back of another shift in quotas in April 2008, this promises to alter the balance of power within the fund quite substantially.

因此，20国集团最明确的承诺就是将从发达国家的过多的投票权中拿出5%的份额给发展中国家。2008年4月曾有过在IMF内部进行投票权转移的承诺，这个承诺到现在最终实现了。

And he also deduces the complete systemic universal theory that the comic's circling movement from the ancient and it graduated layer upon layer and to evolve from the beginning to the end, and grow out of nothing empty to solid; and the universe formula:E = mn1+n2+…nn + mc2 ;and the truth of the gravitation origin; and the extragalactic nebula red shift phenomenon is the result of its galaxy quality structure and the magnitude characteristic attraction, mutually by no means was far away but explodes, and he obtained the universe theory different from the large explosion completely. At the same time it will explain the abstract cultural natural sciences knowledge truth secret something like: Pan-Gu heaven and earth, the River-Chart and the Luo-River-Book, primal chaos and Yi Gua, the profound and abstruse principles of Daoism, the symbolism number of Yi-ology and so on, and it is so broad and profound mystical that it is to be lost many years in Chinese eternity civilization. Then, he establishment the law of myriad things with one method; and deciphered the method that CongzhiZu instantaneously obtained the girth quotient density earlier near millennium than the European at the Han Dynasty, and broke the misunderstanding that all to think he has use shearing the round technique method in the world; and expounded the Pan Gu truth that the world occurs and forms with, broke the thought Pan Gu was the god superstition which the folk spread; and has cleared the-River-Chart and Luo-river-book is the nature objective reflection appearance of the universe transportation principle; and has opened the universe code numeral secret; and explained the scientific truth Fu Xi drawing the ancient divination symbol, furthermore, the writer has drawn all the ancient divination symbol order orientation diagram that had lost the thousands years of the pre-heaven Lian-shan, the midst Gui-cang, the after earth Qian-kun,and the after heaven Zou-Yiology. Through the universe laws and regulations law of from the beginning to the ultimate and myriad things all out of Pangu River-chart Luo river book primal chaos, explained thoroughly the digital code of the universe myriad things' transports and constitution. The digital code only a digital odd and even, but the binary system code deduced the world myriad things' number.

推论出宇宙万物从无到有、由虚化实、由始到终、从一到万、盘旋古衡地层层量级运动演化完备系统的万有理论；推算出了宇宙万有品质及能量公式 E = mn1+n2+…nn +mc2；论述了万有引力、磁力、电流、微观中的强力弱力诸能量的由来，以及宇宙万有物质和三大力等统一为一体的道理；推论出一切物质构成存在皆是能量结晶体，得出&一切物质皆是能量实在&，&物质本身即是能量&的理论；讲明了银河外星系的红移现象是其盘旋圆合成的星系巨大品质结构和量级特性的引力所致，并非相互远离而爆炸，得出了与大爆炸完全不同的理论；同时破解了中国博大精深神秘玄奥的华表准天、八节太极、弇兹九宫、盘古天地、河图洛书、太极易卦、天机道秘、象数彖爻等自然科学知识道理奥秘；释解并创立了万物同准法理论；解密了古代祖冲之早於欧洲近千年，瞬间得出圆周率密率的方法，打破了世界上都认为密率是用割圆术等推算出的误解；阐明了盘古天地发生形成的宇宙自然之道，以及日晷观天历纪二十四节气等等，许多天地万物万事的科学同准方法，揭秘了认为盘古是民间流传的神话迷信；理清了河图洛书是天地垂象万物负图之客观自然规律出现的宇宙物有运化成物的基本道理的数理定律；解开了现代专家教授都迷惑不解的太极易卦天地编码万物数理秘密；释解了伏羲画卦的科学道理，把失传数千年的先天连山易、中天归藏易、后地乾坤形易以及后天周易的遗失卦象次序方位数学矩阵图全都补画出来；通解了宇宙天地万有运化构成的基因数码，只用一这个最简单元始数字，奇偶一二进位地组成编码天地数字推演万物。

What would he tell Judith and the children?

他将怎样告诉朱迪丝和孩子们呢？

I this is at that time, the opinion with peacockish true girl is full of in a heart.

这就是当时的我，一个心中布满虚荣的女孩子真实的想法。