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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。

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。

Article 15 A local government at or above the county level shall compile the draft budget and draft final accounts at the corresponding level, makes report on the draft general budget at the corresponding level to the people's congress at the corresponding level, submit for the record the totalized general budget submitted by the next lower level to the standing committee of the people's congress at the corresponding level for the record, organize the implementation of the general budget at the corresponding level, make decisions to draw on reserve funds of the budget at the corresponding level, work out the adjustment plan for the budget at the corresponding level, supervise the budget implementation by the departments at the corresponding level and by the government at the next lower level, alter or annul inappropriate decisions and orders made by the departments at the corresponding level and the government at the next lower level on budget or final accounts, and submit report to the people's congress at the corresponding level or its standing committee on the implementation of the general budget at the corresponding level.

第十五条县级以上地方各级政府编制本级预算、决算草案;向本级人民代表大会作关于本级总预算草案的报告;将下一级政府报送备案的预算汇总后报本级人民代表大会常务委员会备案;组织本级总预算的执行;决定本级预算预备费的动用;编制本级预算的调整方案;监督本级各部门和下级政府的预算执行;改变或者撤销本级各部门和下级政府关于预算、决算的不适当的决定、命令;向本级人民代表大会、本级人民代表大会常务委员会报告本级总预算的执行情况。

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。

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。

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。

UDZ Series liquid level indicator of flap disassembly fast and convenient, the installation position can be arbitrary choice, free to change the direction of observation, thus instrumented great visibility; UDZ series of cost-effective liquid level was significantly higher than that used multiple sets of glass plate liquid level of cost performance; UDZ series of liquid level indicator, the sender's device, as well as the liquid level with the main transmission medium within the complete separation of the measured structural design, so that level gauge in the job has pressure (up to 320KG), toxic and inflammable conditions, with absolute safety and reliability; UDZ-3 type uses innovative design, improve the sensitivity of the sensor, and its near-zero drift FarEasTone signals and long-term stability so that it has always been at the scene consistent level instructions; sensors and the main body has a certain interval, which can be solved effectively under high-temperature liquids (up to 480 ) remote detection and control; antifrost type UDZ Series Level Gauge, are I plant the patented product (Patent No.: ZL00221022 3), guarantees that the use of cryogenic liquid level gauge is not freezing (such as liquid CO2), the effective guarantee of the level of a normal job.

UDZ系列液位计的翻板指示器拆装快捷方便,安装方位可任意选择,观察方向可随意改动,因而仪表指示的可视度很大;UDZ系列液位计的性能价格比明显高于采用多组玻璃板式液位计的性能价格比;UDZ系列液位计的指示器,发讯器、以及液位变送均与主体内被测介质完全隔离的结构设计,使液位计工作在有压(可达320KG)、有毒和易燃的工况下,具有绝对的安全性和可靠性;UDZ-3型采用了新颖设计,提高了传感器的灵敏度,其远传信号近乎零温漂和长期稳定性使其始终于现场液位指示保持一致;传感器和主体有一定的间隔,因而能有效地解决高温液体(可达480℃)远距离检测和控制;防霜型UDZ系列液位计,是我厂的专利产品(专利号:ZL00221022·3),保证了在低温液体上使用液位计不结冰(如液体CO2),有效的保证了液位计的正常工作。

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。

The gray balance curves were obtained by the gray balance function and regression analysis. The main works: The parameters in the mathematic models were ascertained, as well as all the regression functions. The models included the relation between the ink quantity and the solid density, the relation between the gamma and printing contrast, the printing reproduction curves, the dot-gain curves and the dot-gain compensation curves. The fitting accuracies of the regression models were checked out by the correlation coefficient or multiple correlation coefficients. The effect that the ink had on the solid density and the gamma on the printing contrast were analyzed. And the methods of choosing the ink and gamma were gained.

主要工作:确定了墨量与样张实地密度、γ与相对反差、阶调复制曲线、网点扩大曲线以及网点扩大补偿曲线各自数学模型中的参数,得到了回归表达式;得到了各个回归表达式的相关系数或复相关系数,检验了回归模型的拟合程度;分析了墨量对实地密度的影响以及γ对相对反差的影响,并提出了墨量和γ的选取方法;得到了喷墨印刷质量控制的灰平衡控制、网点扩大以及扩大补偿规律。

The first class of curve contains the quartic Wang-Ball and Said-Ball curve and many curves locating between them. The second class of curve contains the quartic Said-Ball and Bézier curve and many curves locating between them. By analyzing the relation between the new curves and the quartic B6zier curve, the geometric meaning of the shape parameters is obtained, and the geometrical drawing method of the new curves is given.

第一种曲线包含了四次Wang-Ball和Said-Ball曲线以及介于它们之间的无数曲线;第二种曲线包含了四次Said-Ball和Bézier曲线以及介于它们之闻的无数曲线;通过分析新曲线与四次Bézier曲线之问的关系,得出了形状参数的几何意义,并给出了它们的几何作图法。

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