一致分布

词组短语

uniform distribution

与一致分布相关的网络例句 [注：此内容来源于网络，仅供参考]

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。

Methods:We retrospectively reviewed the helical CT or high-resolution CT features(distribution and size of miliary nodule and attenuation of the lung)of 43 patients with miliary tuberculosis and 28 patients with pneumoconiosis.

结果CT图像上，43例粟粒型肺结核中，结节均匀分布34例(79%)，大小一致31例(72%)，密度均匀31例(72%)以及毛玻璃征32例(74%)。28例尘肺中，粟粒结节均匀分布4例(14%)，大小一致12例(43%)，密度不均匀25例(89%)，毛玻璃征2例(7%)。

We conclude that normalized cubic Gauss sums which modular is primes in arithmetic progressions are uniformly distributed around the circle and we get that there is no rule like quadratic Gauss sums.

并由此得出，模为算术级数中素数的正规化三次高斯和在单位圆周上是一致分布的。因此，在三次情况下不存在类似二次高斯和的判别准则。

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。

As for digenic interaction, 18 pairs of epistatic loci with R2≥5% were resolved with a mean R2 of 6.9%, ranging from 5.1% to 11.8%, which was slightly larger than that of the main-effect QTLs identified for the traits. The majority of the main-effect and epistatic loci detected for seedling vigor related traits were clustered in a few chromosome regions.

种子活力相关性状的大多数主效应和互作QTLs成串分布于少数几个染色体区段（chromosome regions， CRs），并且成串分布在同一染色体区段的QTLs效应的方向总是一致，该结果与这些性状在表型上的正相关相一致。

As for digenic interaction, 18 pairs of epistatic loci with R2 ≥5 were resolved with a mean R2 of 6.9 ,ranging from 5.1 to 11.8 ,which was slightly larger than that of the main-effect QTL identified for the traits.The majority of the main-effect and epistatic loci detected for seedling vigor related traits were clustered in a few chromo-some regions.

种子活力相关性状的大多数主效应和互作QTL成串分布于少数几个染色体区段(Chromosome Regions，CRs)，并且成串分布在同一染色体区段的QTL效应的方向总是一致，该结果与这些性状在表型上的正相关相一致。

To overcome the disadvantage of ordered reduction which is based on the discernibility matrix as the time complexity is increscent exponential along with the size of decision tables,the judgment theorem with respect to distribution reduction is obtained,and a heuristic algorithm is proposed.

在不一致决策表中，以知识的包含度为基础，将一致和不一致对象分开，定义了一种新的属性重要性；为克服区分矩阵法时间复杂度随系统大小增加而指数增长的缺陷，给出分布约简的数学判定定理，提出了一种求分布约简的启发式方法。

In one hand, this kind of distribution enhanced the ability to withstand the adverse environment condition, in another hand, this kind of distribution had no benefit to extend the population and had some effect on the endangered state of Davidia involucrate.

通过对珙桐在湖北五峰后河的空间分布格局的研究，珙桐的种群偏离随机分布显著，由x~2检验和测定的各集聚强度指数也一致反映出琪桐种群的分布格局服从负二项分布，属集聚分布类型，水分和土壤因子是影响其生长进而影响其分布格局的主导因子，这种分布虽然增强了种群抵御不良环境的能力，但不利于琪桐扩散，对珙桐濒危有一定的影响。

This thesis consists of three chapters .In chapter one , the distributions of the last exit time and the corresponding results of Brownian motion in Markov process are introduced ,and previous remarkable achievements on the excursion of Brownian motion are numerated too ,also ,we introduce the main results and the history of elliptic diffusion process; In chapter two ,we summarily describe the excursion in Markov process and the result of the first hitting time of the elliptic diffusion process ; In last chapter ,we study estimates for the distributions of above three maximum excursions and minimum excursion in the elliptic diffusion process on R (d≥3), which leads the excursion of Brownian motion on ball on R (d≥3) to become a particular case .

全文共分三章，第一章介绍对称Markov过程中布朗运动的未离时分布及相关研究结果，列举了前人对布朗运动的游程问题的研究成果，并用较多篇幅介绍了一类特殊且非常重要的扩散过程——一致椭圆扩散过程的研究历史和本文的主要研究结果；第二章介绍Markov过程有关停时及游程的概念，叙述了一致椭圆扩散过程的定义，并给出了一致椭圆扩散过程有关首中时的结果；第三章是本文的核心部分，详细讨论了暂留一致椭圆扩散过程关于R~d(d≥3)上球的三类极大游程和极小游程的分布估计，使得布朗运动关于球的游程问题成为特例。

The simulation results of the cylinder-block model were given in the article, consistent with that of Middlemen"s. It was shown that the block part could improve the uniformity of the flow distribution. The analysis of the flow field of some materials with different power-law factor in the die designed by Mckelvey was close to that of Mckelvey"s. It was shown that the flow distribution was uniform in the die that can producesheets with 1200mm in width. During the analysis the flow channel was divided into several parts to get the details about the fluid flow in each area. A conclusion was drawn after analyzing the influence of the die pressure on the flow distribution, that the higher pressure is good for the output and bad for the uniformity of the distribution. Simulation of the die applying the cylindrical main runner showed the fact that when the cylinder replaced the cone the change of uniformity was trivial. The uniformity of the non-block flow channel was so poor that the block in the proper position of the die channel was necessary. The project of the die for the wider sheet was put forth, and the analysis of the fluid flow in the die was shown.

本文模拟了圆柱管缝隙流模型的三维流动场，得到了与Middlemen结论一致的流动均匀性，并通过模拟直观地展示了采用阻尼块可以改善挤出均匀性的现象；分析了多种幂率指数的流体在Mckelvey等人设计的流道模型中的流动分布，得到了与Mckelvey的分析结果接近的压力降和流量偏差；本文建立了1200mm幅宽机头流道的三维有限元模型，并逐个分析各个区域和多个截面的流动分布状况，由此揭示了1200mm幅宽L-型机头流道内的流北京化工大学硕士学位论文动分布基本均匀，并在分析了机头压力对于挤出流动分布的影响后得出结论：较高的机头压力可以获得较大的产量，但是不利于物料均匀分布；模拟了采用圆柱管主流道时机头流道内的流动分布，得出结论：主流道由圆锥管改为圆柱管时对流动均匀性影响不大，通过设置适当的阻尼仍然可以达到挤出平衡；模拟了两端进料式圆柱管无阻尼流道的流动均匀性后得到结论：两端进料式无阻尼结构的流动均匀性较差，宽机头中仍然有必要设置阻尼块；确定宽幅机头流道的基本方案，并设计了一种宽幅防水卷材挤出机头流道的结构，通过流动模拟表明该种结构的流动均匀性较好；考察了宽幅机头对于不同厚度片材的挤出适应性，得到结论：当生产不同厚度的片材时，阻尼块高度需要调整。

与一致分布相关的网络解释 [注：此内容来源于网络，仅供参考]

best uniform approximation：最佳一致逼近

best test 最佳检验 | best uniform approximation 最佳一致逼近 | beta distribution 分布

strongly consistent estimator：强一致估计量

强大数法则 strong law of large numbers | 强一致估计量 strongly consistent estimator | 强分布不拘的 strongly distribution free

uniform equicontinuity：一致同等连续性

uniform distribution 均匀分布 | uniform equicontinuity 一致同等连续性 | uniform invariant 一致不变量

uniformly equicontinuous set：一致等连续集

uniformly distributed load 均布荷载,均布荷载,均匀分布载荷,均匀分布载荷 | uniformly equicontinuous set 一致等连续集 | uniformly equivalent distance 一致等价距离

inconsistent fiducial distribution：不一致置信分布

inconsistent equations 不相容方程 | inconsistent fiducial distribution 不一致置信分布 | inconsistent formula 全假公式

uniformly placed：分布匀称的乳头

uniformly optimal plan for moving target 动目标的一致最优方案 | uniformly placed 分布匀称的乳头 | uniformly primitive recursive function 一致原始递归函数

uniform convergence：一致收敛(性),均匀收敛(性)

uniform 一致的,均匀的 | uniform convergence 一致收敛(性),均匀收敛(性) | uniform distribution 一致分布,均匀分布

uniform cover：一致覆盖

uniform convergence 一致收敛 | uniform cover 一致覆盖 | uniform distribution 均匀分布

uniformly distributed random variable：均匀分布随机变量

一致凸空间 uniformly convex space | 均匀分布随机变量 uniformly distributed random variable | 一致椭圆算子 uniformly elliptic operator

uniformly elliptic operator：一致椭圆算子

均匀分布随机变量 uniformly distributed random variable | 一致椭圆算子 uniformly elliptic operator | 一致同等连续的 uniformly equicontinuous