查询词典 coordinate 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。

First introduced highway alignment's definition, the significance, the developing process and the CASIO series calculator in the highway surveying computation application; Using the traverse survey computation's two basic mathematical model (azimuth calculation, coordinate calculation), compile the corresponding procedure to solve echo the wire coordinate computation; With the aid in the mathematical model which three, four and so on leveling's field operations calculate, compiles the corresponding procedure to solve the road elevation survey computation; According to relaxes the circular curve principal point and the detail coordinate computation mathematical model, based on this programs the solution to relax the circular curve coordinate principal point and the detail coordinate computation, then further develops this procedure to use to calculate the circular curve principal point and the detail coordinate computation.

首先介绍了公路线路的定义、意义、发展过程和CASIO 系列计算器在公路测量计算的应用；利用导线测量计算的两种基本数学模型，编写相应的程序以解决附和导线坐标计算；借助于三、四等水准测量的外业计算的数学模型，编写相应的程序以解决公路高程测量的计算；根据缓和圆曲线主点及细部点的坐标计算的数学模型，在此基础上编程解决缓和圆曲线坐标主点及细部点坐标的计算，然后进一步开发此程序用以计算圆曲线主点及细部点的坐标计算。

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。

We analyzed and proved that this kind of mounting can cover all useful sky area and has much lower and smoother angular velocity and acceleration than the altazimuth one. IN THIS PAPER WE ALSO DISCUSSED THE RELATIONSHIP BETWEEN TWO MOST OFTEN USED ALT-ALT coordinate systems (SN-ALT-ALT, EW-ALT-ALT coordinate system) and the sidereal hour-angle coordinate system, the horizon coordinate system.

本文推导了ALT-ALT跟踪机架光电人卫跟踪仪原理，分析证明了它在要求的跟踪区域内不存在观测盲区，对同一目标的跟踪角速度和角加速度比地平式机架跟踪仪小且平滑，可实现全天覆盖。

Usually the data from GPS coordinates WGS - 84 system, and the geocentric coordinate system is used BJ54 coordinate our plane right-angled coordinate system, to the needs of work, we must coordinate transformation.

通常GPS测量所得数据的坐标是WGS -84系统的地心坐标系统，而我们常用的BJ54坐标是平面直角坐标系统，为了工作的需要，我们必须进行坐标转换。

Evaluation of three-dimensional surface roughness need to measure the three-dimensional coordinates of the points in the surface assessment region, the horizontal coordinates (x-coordinate), vertical coordinate (y-coordinate) and elevation data (z-coordinate).

三维表面粗糙度的评定需要测量出表面评定区域内各点的三维坐标，即横向坐标、纵向坐标和高度数据。

The project is proposed to improve the scale parameters of method 2 coordinate system conversion and a reasonable assessment of the local coordinate system to achieve local and national geodetic coordinate system conversion, changing the original control net all kinds of construction projects can only choose to independent local coordinate system, but not with the national geodetic datum unification.

该项目提出用改进的尺度参数法进行两坐标系的合理转换与评估，实现了地方局部坐标系与国家大地坐标系的转换，改变了原来各类工程建设控制网只能选择地方独立坐标系，而不能与国家大地基准统一的局面。

A carrier gas such as nitrogen is directed through line 20 and valve 22 to connect with line 26 and mix with the gas sample.

如氮气之类的载体通过管线20和阀22引入，与管线26相通，与气体样品混合。

But for the most part, knaves and parasites had the command of his fortune

然而支配他的家产的大多是恶棍和寄生虫。