查询词典 random deviate

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。

So the research of the independency on binary random variable is an important task in probability theory,In this paper,the plenitudinous-indispensable condition distinguishingly the independency on binary random varable is given.

随机变量的独立性是概率论中最基本的概念之一，通过对它的研究可使许多实际问题的具体计算得到简化。

Methods: Adoption random check against experiment, sieving the qualified stroke sufferer press in brief random the method is divided into: The chifukangkoufuy combined errorless learning group, errorless learning group, the feminine gender matched control.

研究方法：采用随机对照的研究方法，将筛选合格的中风后记忆障碍患者按简单随机法分为：痴复康口服液结合无错性学习组，无错性学习组，阴性对照组。

Five of fifty random primers amplified DNA polymorphism hands in RAPD analysis of seed-derived seedlings and of in vitro regenerated plantlets taken at random. One primer eyen amplified the difference between the regenerated plants. This suggested that there was some variation in DNA in plants of M. sativa regenerated in vitro.

随机选取实生苗和下胚轴愈伤组织再生苗进行RAPD分析，结果表明，所用的50个随机引物中有5个扩增出差异性条带，甚至再生植株之间也有1条引物扩增的条带有差异，这说明经组织培养所得到的再生植株与实生苗相比，在DNA水平上发生了一定程度变异，并且这种变异也存在于再生植株之间。

As the complexity of random fatigue, maney mechanism is not yet clear, the method to use the concept of stochastic process in fatigue is now one of the tendency of random fatigue field.

由于随机疲劳问题的复杂性，许多机理性的问题尚需进一步探讨，但是把随机过程的概念应用于疲劳问题的研究乃是目前随机疲劳课题的发展趋势之一。

The two methods had accurate results in forecasting Cricetulus barabansis, but not in Meriones unguiculatus. It was mainly because Meriones unguiculatus population was affected by environment factors at random, and the dynamic tendency was not obvious. It meant that the two time series methods were accurate for the populations which were little affected by environment factors at random.

两种方法对黑线仓鼠捕获率的预测都比较准确，对长爪沙鼠捕获率的预测结果不准确，主要是因为长爪沙鼠种群数量受周围环境因素的影响随机性较大，趋势不太明显，说明此两种时间序列分析方法适用于受随机因素的影响较小，去掉随机因素的影响后有较好的趋势变化的种群。

The third chapter talked about two different treatments of quantum decoherence in V〓 system. For one the decoherence factor is been expressed in the form of a random external field. And the mean density matrix is calculated to signal the decoherence by showing its nondiagonal elements to approach to zero. In another numerical work done by us, random interaction between system and environment is imposed to mimic the decoherence factor.

第三章讨论了V〓体系中量子相干性研究的两个工作，一个用随机外场来代表消相干因素，采用对系统的密度矩阵进行随机平均的解析方法得到一些结果，一个是我们用数值计算方法的处理，其中消相干因素考虑成系统和环境的相互作用。

A negotiable document having enhanced security for deterring the generation of counterfeit photocopies of the negotiable document, said negotiable document comprising: a front face; a signature area located on the front face; a first pantographic background design creating a seemingly random background covering a first area of the negotiable document; and a second pantographic design creating a seemingly random background covering the signature area of the negotiable document; and a warning clause, located in the signature area, having a background and print that is visible prior to and after any photocopying of the negotiable document and describing the second pantographic design of the signature area.

可协商文档由于加强了安全性可以防止产生影印的赝品可协商文档。这种可协商文档通常由一个封面，封面上的签名区，一个覆盖可协商文档首部的可缩放的背景设计产生一个表面上随机的背景和一个位于签名区的警告条款，这一条款的背景对于影印的可协商文档是可见的并且在影印文档的前面描绘签名区的第二种缩放设计。

The genetic relationships of 11 cultivars and lines in Pennisetum were analyzed using random amplified polymorphic DNA markers. A total of 82 reproducible RAPD fragments were produced using 8 random primers.

利用RAPD分子标记技术分析狼尾草属11个品种12份材料间的遗传关系，结果发现7个引物共扩增出82条带，其中多态性条带为60条，多态位点达73.2%，表明在这11个品种间具有较高的遗传多样性。

Next, the existence of random fixed point for random semiclosed 1-set-contractive operator is discussed.

第二章首先研究了随机半闭1-集压缩算子的随机不动点指数。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样