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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 this dissertation, two methods were adopted to build dynamics model for vehicle ride comfort analysis: one is eight freedom vehicle ride comfort differential equation model in which lateral movement of driver and vehicle body was considered. Combined with time domain model of random road input, we got the driver and vehicle's moving displacement. The other method, we built a Forland truck virtual prototyping using ADAMS, it is a 3D machine model, totally with 596 freedom degrees, every factor that influences the vehicle ride comfort was considered, finally complete the time domain simulation on random road input.

本文采用两种方法建立了车辆平顺性分析的动力学模型:8自由度车辆平顺性分析的微分方程模型,考虑了驾驶员和车体的侧倾,结合随机路面激励的时域模型,在B级路面输入条件下,进行了时域仿真求解,得到车辆和驾驶员在汽车坐标系中各个方位上随时间历程的运动位移;利用ADAMS软件建立的福田小卡汽车,共计596个自由度的三维实体整车虚拟汽车模型,全面地考虑了影响平顺性的各种因素,然后通过对路面功率谱的变换生成适合于ADAMS/Tire的路面文件,实现了整车虚拟样机在随机输入激励下,车辆振动模型的时域仿真求解。

For example, promises that are purely gifts are not considered enforceable because the personal satisfaction the grantor of the promise may receive from the act of giving is normally not considered adequate consideration.

比如,许诺赠与礼物的行为就不是一个可强制执行的合同,因为赠与者从赠与行为中得到的个人满足感在法律上并不认为是一个充分的对价。

However, I believe he is an overrated player due to the fact that he is considered a hands-down first ballot Hall of Famer and considered one the best guards to play the game, when I'm not sure he really is.

然而,我始终坚信他被高估的理由是:名人堂的第一轮投票对他来说唾手可得。同时他被认为是比赛中最好的的后卫,这一点我抱怀疑态度。

Limited partnership interests are considered to be securities, while general partnership interests are generally not considered to be securities.

有限责任合伙公司的利益,被认为是证券,而一般合作伙伴的利益,通常不被认为是证券。

As observed in the Pleistocene, thick intervals of negative δ13C values occur in the Neoproterozoic but are considered to record profound perturbations to the global marine carbon cycle unique to the Neoproterozoic rather than being considered in terms of normal mixed meteoric/marine lithification or decarboxylation.

更新世的观察表明,新元古代存在着一个较长时期的δ13C负值,这些负值记录了全球海洋碳同位素的波动循环是新元古代独有的,而并非通常意义下的大气海洋水混合产生的岩化作用和脱羧基作用。

Three aspects of work are considered: The first aspect: we considered the error bound of the maximum likelihood estimation estimator for a class of nonstationary diffusion processes with parameters in both drift and diffusion parts.

论文的主要内容由以下三个部分组成:第一部分:我们考虑一类非平稳扩散过程参数极大似然估计的误差界。

Marcella Mora:It's not considered cheating, it's considered part of the game.

这个球没有被看作是欺骗,而被看作是比赛的一部分。

In Western culture, where Objectivism rules in most areas, metaphor has long been considered marginal, because it is considered to be irrational.

传统观点认为隐喻只是一种用来修饰语言的工具。比较理论是其中最重要的一种,它长期以来占据着统治地位。

The research results show as follows. As plastic deformation increases, the Young's modulus of material continuously changes. This variation law is able to be described using a piecewise linear function .Hardening model and whether the variation is considered or not make great effet on springback prediction. It is proved that the springback prediction result which adopts the elastic-plastic constitutive model based on INLK hardening model and the variation of Young's modulus is considered, is more close to experimental result. After the sheet metal undergoes multiple bending, the corner radius and bending height also affect springback greatly.But the effect trend is different. At the same time, the reliability of springback research using numerical simulation is proved.

研究结果表明:材料弹性模量随塑性变形的变化是不断变化的,该变化规律可用分段线性函数进行描述;强化模型及考虑弹性模量变化与否对回弹预测有很大的影响,基于INLK强化模型和考虑弹性模量变化的弹塑性本构模型对回弹的预测结果与试验最接近;多次弯曲中圆角半径与弯曲高度对板料变形后的回弹有较大影响,但影响趋势不同;证明了数值模拟方法对回弹研究的可靠性。

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However, there is estimated to only be a 10 year supply of indium left on Earth.

早在1990年代初,铟在液晶显示器上广泛应用,铟价在国际市场上一度超过500美元/公斤。

A 2 minute bell at half-time could be introduced just like the theatre, how posh !

半场时,有可能会采用2分钟的铃声

This aion gold will allow you to have your most productive week all the time.

这会让你始终都有最富有成效的一周。