查询词典 one parameter family of curves

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 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。

One Wild Night It's a hot night, the natives are restless We're sweating by the light of the moon There's a voodoo mojo brewing at the go-go That could knock a witch off her broom We slither on in and shed our skin Make our way into the bump and the grind So I'm passing by, she gives me the eye So I stop to give her a light Chorus: One wild night One wild night (24 hours of midnight) One wild night (I stepped into the twilight zone And she left my heart with vertigo) One wild, one wild, one wild, one wild night Havin' as much fun as you can in your clothes Margarita had me feelin' alright It just might be that I found religion I've been on my knees for half of the night Then I'm rolling the bones with Jimmy 'no dice' Gonna take him for a couple weeks' pay Man, if you lose this roll I take your girlfriend home So I stopped But you're not gonna believe who comes walking out Chorus: One wild night One wild night (24 hours of midnight) One wild night (I stepped into the twilight zone And she left my heart with vertigo) One wild night (hey, c'est la vie) One wild night One wild night (life is for the living so You gotta live it up, come on let's go) One wild, one wild, one wild, one wild night Guitar solo Chorus: One wild night One wild night (24 hours of midnight) One wild night (I stepped into the twilight zone And she left my heart with vertigo) One wild night (hey, c'est la vie) One wild night One wild night (life if for the living so You gotta live it up, come on let's go) One wild, one wild, one wild, one.. One wild night One wild night (24 hours of midnight) One wild night (I stepped into the twilight zone) For one wild night One wild night (hey,c'est la vie) One wild night One wild night All we've got is one wild night One wild night (4x) One wild night blinded by the moonlight One wild night 24 hours of midnight One wild night stepped into the twilight zone for One wild, one wild, one wild, one wild night.

一狂放的夜它是热的夜，当地人是不安定的由那里月亮的光冒汗是巫毒教mojo酿造在可能敲巫婆她的笤帚的去去的我们我们滑行并且流洒我们的皮肤做我们的方式成爆沸和研磨，因此我通过，她给我眼睛，因此我停下来给她轻的合唱：一狂放的夜一狂放的夜(24个小时午夜)一狂放的夜(我跨步入暮色区域和她左我的心脏以眩晕)一狂放，一狂放，一狂放，一狂放的夜 Havin同样多乐趣，象您在您的衣裳玛格丽塔酒能有我feelin它也许行是我发现了我是在我的膝盖为夜的一半的宗教我然后滚动骨头与吉米'没有模子' 去采取他为几星期的薪水人，如果您丢失我采取您的女朋友家的这卷，因此我停止了，但您不相信谁来走出去 Chorus： One wild night One wild night (24 hours of midnight) One wild night (I stepped into the twilight zone And she left my heart with vertigo) One wild night (hey， c'est la vie) One wild night One wild night (life is for the living so You gotta live it up， come on let's go) One wild， one wild， one wild， one wild night Guitar solo Chorus：一狂放的夜一狂放的夜(24个小时午夜)一狂放的夜(我跨步入暮色区域和她左我的心脏以眩晕)一狂放的夜(嘿， c'est la竞争)一狂放的夜一狂放的夜(生活，如果为生活，因此您得到居住它，进展我们是)一狂放，一个狂放，一个狂放，一个一狂放的夜一狂放的夜(24个小时午夜)一狂放的夜为一狂放夜一个狂放的夜(嘿， c'est la竞争)一狂放的夜一狂放的夜我们有的全部是一狂放的夜一狂放的夜(4x)一狂放的夜由月光蒙蔽了一狂放的夜24个小时午夜狂放的夜跨步入暮色区域为一狂放的一，一狂放，一狂放，一狂放的夜。

First make the subjects give either right or wrong responses to the same question with different b value. When estimating the abilities of the subjects with the use of one-parameter or two-parameter Logistic model, it is found that there exists two kinds of unfits.(2) Estimate the abilities of the subjects after introducing c parameter on the basis of the two-parameter model. The first unfit can be rectified. However, the second unfit still exists and the third unfit appears.(3) Then estimate again after introducing y parameter. It is discovered that the second unfit is rectified, but the first unfit still exists and the fourth unfit appears.(4) Form Logistic four-parameter model by introducing c parameter and y parameter at the same time and estimate one more time. This model makes all kinds of unfits, including the first, second, third and fourth unfits, rectified.

1设计这批被试分别做对或做错一道b值不同的试题，用Logistic单、双参数模型对被试进行能力估计时，发现被试能力估计存在着两类失拟现象；(2)在双参数模型基础上增加c参数，对被试进行能力估计，发现c参数能有效纠正第一失拟现象，然而仍然存在第二失拟现象，同时还存在第三失拟现象；(3)在双参数模型基础上增加γ参数，再对被试进行能力估计，发现γ参数能有效纠正第二失拟现象，而仍然存在第一失拟现象，同时还存在第四失拟现象；(4)同时增加c、γ参数形成Logistic四参数模型，再对被试进行能力估计，这时该模型对各类失拟现象，包括第一、第二、第三、第四失拟现象都具有良好拟合能力。

Calculating results show that variation of the propellant inlet pressure makes little impact on engine performance parameters, and the engine will transit to a new stable state. The parameter transition curves are smooth. When the engine thrust is adjusted in a small range within a short period, the parameter transition curves are also reposeful. But when the adjusting range becomes large, the parameter transition curves will fluctuate acutely. Thus, when large range adjusting is required, the time of adjusting should be lengthened or the adjusting should be divided into adequate steps.

计算结果表明，当发动机在某一个稳定工况工作时，发动机入口推进剂压强的变化对发动机性能参数的影响不大，发动机的参数都能比较平稳的过渡到一个新的稳定工况；当发动机在短时间内进行小范围的推力调节时，发动机参数的过渡过程的曲线也比较平稳，但是当在短时间内进行大范围推力调节时，参数的过渡过程的曲线振动比较剧烈，因此应当在进行大范围推力调节时，应当对调节时间进行适当延长，或者分级进行推力调节。

Experiments show that C-B spline curve, uniform B-spline with shape parameter, hyperbolic polynomial uniform B-spline with shape parameter and trigonometric polynomial uniform B-spline with shape parameter can be used to produce some frequently used free form curves in the industrial field when the shape parameter is assigned with some specific values. This process is simpler than producing these free form curves by using controlling vertex.

实验证明，C-B样条曲线、带形状参数的均匀B样条曲线、带形状参数双曲多项式的均匀B样条曲线、带形状参数三角多项式的均匀B样条曲线都可利用形状参数的特定取值表示一些工业领域常用的自由曲线，这比起用控制顶点表示同样的自由曲线更为简单。

As the complete characteristic curves of reversible pump turbine are often used to calculate the instantaneous parameters, this paper studies the characteristic curve and the wicket closure and opening law in pumped storage plants.Chapter 1 presents the importance and the necessity of this study and reviews the previous related research on hydraulic transient process and valve regulation in pumped storage plants.Chapter 2 analyzes the six collected characteristic curves of reversible pumped turbine and studies their diversification from the point of view of specific speed. The six collected discharge and moment curves with maximum efficiency have been fitted to piecewise continuous curves. This curve-fitting procedure is listed.Chapter 3 takes Liyang Pumped storage plant as an example and analyzes the effect of different characteristic curves on regulation guarantee parameters and the variety of its trochoid during the same operation status.Chapter 4 takes three pumped storage plants with different heads as examples and studies the characteristic of coordinated closure with wicket gate and ball valve and its effect on dynamic pressure in the spiral case, inlet pressure in the draft tube and the rise of rotating speed.Chapter 5 summarizes this paper and point out what should be done in the future research.

由于在过渡过程分析计算中，需要频繁利用可逆式机组的全特性曲线推求机组的瞬时参数，所以本文就特性曲线及关闭规律问题进行了研究，其主要内容如下：第1章，指出本文研究的意义和目的，回顾前人对水力过渡过程、抽水蓄能电站及阀调节的研究成果，在此基础上提出本文的研究内容；第2章，针对收集到的六套特性曲线，从比转速的角度出发来研究可逆式机组特性曲线的变化规律；并对六套曲线的最高效率流量和力矩曲线进行分段拟合，得到各分段函数的具体形式，再通过举例说明最高效率曲线的拟合步骤；第3章，以溧阳抽水蓄能电站为实例，分析讨论不同比转速特性曲线对调保参数造成的影响及对于相同工况其轨迹线的变化；第4章，结合高、中、低三水头段抽水蓄能电站，在导叶直线关闭的基础上，研究导叶与球阀协联关闭规律的特点及对蜗壳动水压力、尾水管进口压力及转速上升造成的影响；第5章，总结全文，提出今后研究的重点和方向。

Analyzing the relationships among the initial yielding point, significant yielding point, ultimate point and other key point in parameterless pushover curves, considering the seismic design level, the parameterless pushover curves are transformed to general pushover curves. Then the general pushover curves are converted to a spectral capacity curves for building, that is, a plot of spectral acceleration versus spectral displacement, using the simplified nonlinear static analysis method to estimate the seismic vulnerability of multistory brick structure and multistory and high rise reinforced concrete.

分析了无量纲坐标描述的推倒曲线中初始屈服点、明显屈服点及极限点等关键点之间的关系，考虑建筑物地震设防水准，将无量纲坐标描述的推倒曲线还原为以侧力及其位移描述的推倒曲线，进而将其转换为以谱加速度及谱位移表示的承载能力曲线，采用简化结构静力非线性分析方法，估计我国多层砖房及缺乏震害经验的多、高层钢筋混凝土框架结构房屋的地震易损性。

However,there have been no papers which have investigated Minkowski and Minkowski slant helices and Minkowski conical geodesic curves so far as.In this paper,our major study is to give the definition of Minkowski general helix and Minkowski slant helices and Minkowski conical geodesic curves in indicators 1 in pseudo-Euclidean three-space (that is, three-dimensional Minkowski space), and study the definition of equivalence Minkowski general helix, By considering geometric invariants of these space curves, we can estimate the order of contact with those special curves for general space curves.

本篇文章主要研究在指标数为1的3维伪欧氏空间(即三维Minkowski空间)中，我们给出Minkowski一般螺线、Minkowski斜螺线和Minkowski锥面测地线的定义，研究Minkowski一般螺线的等价定义，给出Minkowski斜螺线和Minkowski锥面测地线作为三维Minkowski空间中的特殊曲线所特有的性质，并通过考虑三维Minkowski空间曲线的几何不变量，估计Minkowski斜螺线和Minkowski锥面测地线这两种特殊曲线和一般Minkowski空间曲线切触的阶数。

Methods Through the triaxial creep test, the triaxial creep curves and isochorounous stress-strain curves have been obtained, then the creep characteristics of mica-quartzose schist have been obtained by analyzing the triaxial creep curves, and the isochrounous stress-strain characteristics of mica-quartzose schist have been obtained by analyzing the isochorounous stress-strain curves. Finally, an empirical formula of creep curve is obtained by data fitting and the analysis of the relation between time and parameter of fitting formula.

通过三轴蠕变试验首先得到了云母石英片岩的蠕变曲线和应力应变等时曲线，然后对试验曲线进行分析得到云母石英片岩的蠕变特性和云母石英片岩的等时应力应变特性，最后拟合应力应变等时曲线，并分析时间和拟合公式中参数的关系，得出了蠕变经验公式。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。