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.

本文研究利用橢圓曲線構造的偽隨機序列国产日韩入口一区二区三区，主要利用有限域上橢圓曲線有理點群的指數(shù)和估計討論橢圓曲線序列的密碼性質——分布、相關性精品久久久一级毛片、線性復雜度等日本亚洲欧美日韩工程，得到如下主要結果：(1)系統(tǒng)討論橢圓曲線-線性同余序列的一致分布性質，即該類序列是漸近一致分布的911影视免费看，并給出了它的非線性復雜度下界www.十八岁A片；(2)討論兩類由橢圓曲線構造的二元序列的"良性"分布與高階相關性(correlation of order κ)，這兩類序列具有"優(yōu)"的密碼性質国产亚洲精久久久久久无码，也正面回答了Goubin等提出的公開問題中国AAAA片爽快免费；(3)利用橢圓曲線及其撓曲線構造一類二元序列，其周期為4p(其中橢圓曲線定義在有限域F_p上)国产成人在线无码视频，0-1分布基本平衡富婆按摩高潮对白在线观看，線性復雜度至少為周期的四分之一；(4)討論了剩余類環(huán)Z_上的橢圓曲線的有理點的分布估計大片女人a黄片，并用于分析一類由剩余類環(huán)Z_上橢圓曲線構造的二元序列的偽隨機性老师成人痴汉在线视频；(5)討論橢圓曲線-冪生成器序列的相關性及橢圓曲線-二次生成器序列的一致分布；(6)討論橢圓曲線-子集和序列的一致分布毛片网址网站；(7)討論橢圓曲線上的線性反饋移位寄存器序列的分布人人操人人玩人人看，線性復雜度等性質。

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.

結果CT圖像上yinの方程式第二话樱花，43例粟粒型肺結核中色视频在线观看无码视频，結節(jié)均勻分布34例(79%)91精品自产拍不卡，大小一致31例(72%)超碰在线永久，密度均勻31例(72%)以及毛玻璃征32例(74%)狼友视屏在线。28例塵肺中98自拍视频，粟粒結節(jié)均勻分布4例(14%)，大小一致12例(43%)一级毛片免费毛片，密度不均勻25例(89%)免费的日韩精品视频在线观看，毛玻璃征2例(7%)欧美亚洲韩国视频一区。

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.

并由此得出欧美婬片一级视频播放，模為算術級數(shù)中素數(shù)的正規(guī)化三次高斯和在單位圓周上是一致分布的欧美老妇乱又伦A片。因此，在三次情況下不存在類似二次高斯和的判別準則免费看性顶级A片。

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.

本文研究利用橢圓曲線構造的偽隨機序列，主要利用有限域上橢圓曲線有理點群的指數(shù)和估計討論橢圓曲線序列的密碼性質——分布91在线精品免费一区欧美、相關性精品偷拍日韩第一页视频、線性復雜度等久久器只，得到如下主要結果：(1)系統(tǒng)討論橢圓曲線-線性同余序列的一致分布性質，即該類序列是漸近一致分布的激情狠狠文学网，并給出了它的非線性復雜度下界美女黄网址；(2)討論兩類由橢圓曲線構造的二元序列的&良性&分布與高階相關性(correlation of order κ)，這兩類序列具有&優(yōu)&的密碼性質激情说，也正面回答了Goubin等提出的公開問題久久99视频只有这里精品；(3)利用橢圓曲線及其撓曲線構造一類二元序列，其周期為4p(其中橢圓曲線定義在有限域F_p上)国内精品免费一二三区三，0-1分布基本平衡国产一级黄片不卡免费视频，線性復雜度至少為周期的四分之一；(4)討論了剩余類環(huán)Z_上的橢圓曲線的有理點的分布估計91免费免费国产在线观看，并用于分析一類由剩余類環(huán)Z_上橢圓曲線構造的二元序列的偽隨機性一级精品视频在线观看；(5)討論橢圓曲線-冪生成器序列的相關性及橢圓曲線-二次生成器序列的一致分布；(6)討論橢圓曲線-子集和序列的一致分布免费看涩涩的网站h；(7)討論橢圓曲線上的線性反饋移位寄存器序列的分布国产youjizz，線性復雜度等性質。

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.

種子活力相關性狀的大多數(shù)主效應和互作QTLs成串分布于少數(shù)幾個染色體區(qū)段（chromosome regions乱伦日韩一区二区， CRs）黑人一级a毛片免费视频观看，并且成串分布在同一染色體區(qū)段的QTLs效應的方向總是一致，該結果與這些性狀在表型上的正相關相一致爱搞.com。

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.

種子活力相關性狀的大多數(shù)主效應和互作QTL成串分布于少數(shù)幾個染色體區(qū)段(Chromosome Regions自拍偷拍日韩欧美，CRs)，并且成串分布在同一染色體區(qū)段的QTL效應的方向總是一致韩国a级电影在线观看，該結果與這些性狀在表型上的正相關相一致国产精品免费无码专区。

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.

在不一致決策表中，以知識的包含度為基礎九九99久久精品国产麻豆，將一致和不一致對象分開在线观看免费无码A片视频，定義了一種新的屬性重要性；為克服區(qū)分矩陣法時間復雜度隨系統(tǒng)大小增加而指數(shù)增長的缺陷无码秒播成人影视在线观看免费视频，給出分布約簡的數(shù)學判定定理99爱精品1，提出了一種求分布約簡的啟發(fā)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.

通過對珙桐在湖北五峰后河的空間分布格局的研究欧美口交网站，珙桐的種群偏離隨機分布顯著狼友黄色视频，由x~2檢驗和測定的各集聚強度指數(shù)也一致反映出琪桐種群的分布格局服從負二項分布，屬集聚分布類型狼友色成人网在线播放视频网站免费，水分和土壤因子是影響其生長進而影響其分布格局的主導因子不卡一级片，這種分布雖然增強了種群抵御不良環(huán)境的能力，但不利于琪桐擴散欧美五区，對珙桐瀕危有一定的影響欧美激情一区二区三区在线免费看。

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 .

全文共分三章欧美大片aaaaa级，第一章介紹對稱Markov過程中布朗運動的未離時分布及相關研究結果，列舉了前人對布朗運動的游程問題的研究成果免费看全过程曰批40分钟，并用較多篇幅介紹了一類特殊且非常重要的擴散過程——一致橢圓擴散過程的研究歷史和本文的主要研究結果免费看羞羞漫画；第二章介紹Markov過程有關停時及游程的概念，敘述了一致橢圓擴散過程的定義黄片av毛片伊人久久，并給出了一致橢圓擴散過程有關首中時的結果男人天堂.com免费；第三章是本文的核心部分，詳細討論了暫留一致橢圓擴散過程關于R~d(d≥3)上球的三類極大游程和極小游程的分布估計日韩新片免费无码观看，使得布朗運動關于球的游程問題成為特例久久激情免费视频。

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.

本文模擬了圓柱管縫隙流模型的三維流動場，得到了與Middlemen結論一致的流動均勻性欧美在线a免费观看，并通過模擬直觀地展示了采用阻尼塊可以改善擠出均勻性的現(xiàn)象日日摸夜夜添高潮出水毛片；分析了多種冪率指數(shù)的流體在Mckelvey等人設計的流道模型中的流動分布，得到了與Mckelvey的分析結果接近的壓力降和流量偏差大学生一级一片第一次一级莫；本文建立了1200mm幅寬機頭流道的三維有限元模型黄色国产区视频，并逐個分析各個區(qū)域和多個截面的流動分布狀況，由此揭示了1200mm幅寬L-型機頭流道內的流北京化工大學碩士學位論文動分布基本均勻国模高清，并在分析了機頭壓力對于擠出流動分布的影響后得出結論：較高的機頭壓力可以獲得較大的產(chǎn)量,国产男靠女免费视频网站，但是不利于物料均勻分布；模擬了采用圓柱管主流道時機頭流道內的流動分布尤物成人高清在线观看网址大全，得出結論：主流道由圓錐管改為圓柱管時對流動均勻性影響不大国产操B在线视频，通過設置適當?shù)淖枘崛匀豢梢赃_到擠出平衡；模擬了兩端進料式圓柱管無阻尼流道的流動均勻性后得到結論：兩端進料式無阻尼結構的流動均勻性較差人妻少妇视频一区中文字幕，寬機頭中仍然有必要設置阻尼塊一级黄色网站A片；確定寬幅機頭流道的基本方案，并設計了一種寬幅防水卷材擠出機頭流道的結構在线观看中文字幕2022，通過流動模擬表明該種結構的流動均勻性較好免费看黄色三级网站；考察了寬幅機頭對于不同厚度片材的擠出適應性，得到結論：當生產(chǎn)不同厚度的片材時欧美天天搞网站，阻尼塊高度需要調整一级毛片视频在线看。

best uniform approximation：最佳一致逼近

best test 最佳檢驗 | best uniform approximation 最佳一致逼近 | beta distribution 分布

strongly consistent estimator：強一致估計量

強大數(shù)法則 strong law of large numbers | 強一致估計量 strongly consistent estimator | 強分布不拘的 strongly distribution free

uniform equicontinuity：一致同等連續(xù)性

uniform distribution 均勻分布 | uniform equicontinuity 一致同等連續(xù)性 | uniform invariant 一致不變量

uniformly equicontinuous set：一致等連續(xù)集

uniformly distributed load 均布荷載,均布荷載,均勻分布載荷,均勻分布載荷 | uniformly equicontinuous set 一致等連續(xù)集 | uniformly equivalent distance 一致等價距離

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：分布勻稱的乳頭

uniformly optimal plan for moving target 動目標的一致最優(yōu)方案 | uniformly placed 分布勻稱的乳頭 | uniformly primitive recursive function 一致原始遞歸函數(shù)

uniform convergence：一致收斂(性),均勻收斂(性)

uniform 一致的,均勻的 | uniform convergence 一致收斂(性),均勻收斂(性) | uniform distribution 一致分布,均勻分布

uniform cover：一致覆蓋

uniform convergence 一致收斂 | uniform cover 一致覆蓋 | uniform distribution 均勻分布

uniformly distributed random variable：均勻分布隨機變量

一致凸空間 uniformly convex space | 均勻分布隨機變量 uniformly distributed random variable | 一致橢圓算子 uniformly elliptic operator

uniformly elliptic operator：一致橢圓算子

均勻分布隨機變量 uniformly distributed random variable | 一致橢圓算子 uniformly elliptic operator | 一致同等連續(xù)的 uniformly equicontinuous