We also studied the stopping time defined by T〓. Finally, we investigated the limit theorem of record value and gave an affirmative answer to an open question.

我們還研究了基于T〓所定義的停時(shí)及其漸進(jìn)正態(tài)性国产91精品专区，以及記錄值之部分和的極限定理人人操日韩超碰，回答了文獻(xiàn)中提到的一個(gè)懸而未決的問(wèn)題。

According to superior limit theorem of ultimate analysis ,the power equation of entire structure will be transformed into the power equation of subdmain by using the concept of plastic hinge line.

根據(jù)極限分析的上限定理欧美亚洲图片小说，利用塑性鉸線的概念精品欧美一区综合在线，將整體結(jié)構(gòu)的功率方程轉(zhuǎn)化為子域的功率方程，利用王洪生提出的分配系數(shù)法国产精品强奸乱伦贵州，進(jìn)而得出子域的平衡方程国产日韩精品一区二区久久。

Based on the old algorithm, introduce new Linear Feedback Shift Register, new Central Limit Theorem, Maclaurin Equation to generate uniform distribution, gaussian distribution, exponential distribution's random number respectively and analyze them, compares the difference between new algorithm and old algorithm.

在原有算法的基礎(chǔ)上，提出了改進(jìn)型線性反饋移位寄存法在线观看免费的黄色视频、改進(jìn)型中心極限定理法和麥克勞林展開(kāi)法XNXX视频，并對(duì)其作測(cè)試仿真，比較傳統(tǒng)算法與改進(jìn)型算法之間的優(yōu)缺點(diǎn)草榴论坛最新地址。

A strong limit theorem on gambling strategy for Bernoulli sequences is extended to the sequences of arbitrary dependent random variables which take numberable values by using the conditional moment generating function .

利用條件矩母函數(shù)將關(guān)于Bernoulli序列賭博策略的一個(gè)強(qiáng)極限定理推廣到取可列值的任意相依隨機(jī)變量序列的情況求手机在线看黄色视频的网站，并且通過(guò)允許選擇函數(shù)在一個(gè)區(qū)間中取值，推廣了隨機(jī)選擇的概念特级a爱片免费观看。

According to the central limit theorem,the writer analyses the using case of air splicer,and clarifies the using distribution of air splicer,obtains the statistic on air consumption of air splicer.

運(yùn)用中心極限定理對(duì)空氣捻接器的使用情況進(jìn)行分析wwwzaixianavcom，明確了空氣捻接器的使用分布情況，得出了空氣捻接器耗氣量的統(tǒng)計(jì)數(shù)據(jù)日韩欧亚自拍视频在线播放免费观看。

The strong law of large numbers for the state frequency and the strong limit theorem of arbitrary function for the Markov chain field on the arbitrary Cayley tree are investigated.

主要研究任意Cayley樹(shù)上馬爾可夫鏈場(chǎng)的狀態(tài)出現(xiàn)頻率的強(qiáng)大數(shù)定律以及Cayley樹(shù)上任意函數(shù)的一類(lèi)強(qiáng)大數(shù)定律抠逼黄片15.0。

Thirdly, proper probabilistic model is built for the bilateral stop-and-go generator and the probability properties of its output sequence are studied. It is proved that the output sequence obey strong law of large numbers and central limit theorem and that, however, the distributions of 0 and 1 in the output sequence are imbalanced, which implies that this generator cannot be used as keystream generator directly. The rate of coincidence between the output sequence and corresponding LFSR sequences, together with their first derivatives are obtained, which reveal the existence of correlation between these sequences.

最后，建立了雙側(cè)停走生成器的概率模型av免费体验区试看，研究了雙側(cè)停走生成器輸出序列的概率分布性質(zhì)和大數(shù)性質(zhì)，證明了生成器輸出序列服從強(qiáng)大數(shù)定律和中心極限定理亚洲av人妻不卡，得到了生成器輸出序列中0www黄视频在线观看，1分布是不平衡的結(jié)論，由此指出不能將這種生成器直接作為密鑰流生成器黄色性爱视频亚洲可以看的；給出了雙側(cè)停走生成器輸出序列和相應(yīng)的線性移位寄存器序列之間的符合率以及一階差分序列之間的符合率视频A黄，得到了符合率的表達(dá)式，揭示了這些序列的對(duì)應(yīng)比特和對(duì)應(yīng)序列段之間存在相關(guān)性免费a片视频网站。

Our results show that the rate of correlation among the random variables of those output sequences are low although they are not independent; in addition, the output sequences of those combined generators are homogeneous Markov chains which are strictly stationary processes with ergodicity; the output sequences of those combined generators are also proved to summit to the strong law of large numbers and the central limit theorem; finally the computation formula of the rate of the accordance between the output sequences and input sequences of those combined generators is given.

我們的研究結(jié)論表明：雖然這些序列中隨機(jī)變量之間不具有相互獨(dú)立性2022中文字幕在线观看，但它們的相關(guān)程度卻比較低；證明了"停走"生成器，KM_1M_2型組合生成器和加法型組合生成器的概率模型輸出序列都是強(qiáng)平穩(wěn)的和遍歷的齊次馬氏鏈一级黄片免费看视频；討論了這些序列的概率極限性質(zhì)黄页网站免费视频福利区，證明了它們均服從強(qiáng)大數(shù)定律和中心極限定理；還分別給出了各類(lèi)生成器的輸出序列與輸入序列之間的符合率的計(jì)算公式自拍视频精品。

Secondly, the properties of output sequences of stop-and-go clocked combiners are discussed. It is proved that the output sequences are stationary and obey strong law of large numbers and central limit theorem. Using the probabilistic model properly built, we analyze the rate of coincidence between the output sequences of two kinds of generators with basic operations and corresponding LFSRs sequences. All the computational formulae are derived. A recursive algorithm for efficiently computing the poster probability of partial input strings and corresponding joint probability is introduced. Moreover, divide-and-conquer attacks on this kind of generators which reconstruct the initial states of the input stop-and-go generators individually are proposed.

其次国产乱了在线观看，分析了一般鐘控停走組合生成器輸出序列的概率分布性質(zhì)，證明了生成器的輸出序列是嚴(yán)平穩(wěn)的九九色这里只有精品首页，且服從強(qiáng)大數(shù)定律和中心極限定理能直接在线看的网址你懂的；考察了鐘控加法型組合生成器和鐘控乘法型組合生成器的輸出序列和相應(yīng)的常規(guī)鐘控下線性移位寄存器序列之間的符合率，給出了符合率的具體計(jì)算公式歐美特級精品尤物黃片視頻；給出了組合器輸出序列段和輸入序列段之間的聯(lián)合分布以及部分輸入序列段的后驗(yàn)概率的有效遞歸算法美屄网站，進(jìn)一步提出了利用后驗(yàn)概率對(duì)鐘控組合生成器進(jìn)行分別征服相關(guān)攻擊的方法。

This paper introduced the appliance of probability and statistics in reality,including classical model,formula of total probability, normal distribute,mathematics expectation and the central limit theorem.While it also discusses the widely uses of probability and statistics and the close relationship with the real life.Therefore,it lays the theoretical foundation for the practical uses with probability and statistics,and the basis of mathematics model.

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