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Therefore,in order to simplify the proving process of these inequalities.Though reading a lot of relevant resource,we begin with the basic concept of math,and use an ingenious way――probabilistic method, which means that according to the main features of inequality theory,combining the basic concepts and formulas of probability,through creating one suitable probability model,giving some concrete meanings of random events or random variables,proving through probability theory,we discuss the Cauchy inequality,Class inequality,Jensen inequality,and several common inequality's proofs.

因此,为了简化这些不等式的证明过程,通过阅读大量的相关资料,本文从数学的基本概念入手,运用了1种巧妙的方法——概率方法,即根据不等式的主要特征,结合概率论的1些基本概念和公式,通过建立1个适当的概率模型,赋以1些随机事件或随机变量的具体含义,再利用概率论的理论加以证明,讨论了柯西不等式,级数不等式,詹森不等式和几个1般不等式的证明。

Because the time series generated from finite difference equation with chaos may also possess exponential distribution of probability density. Additionally, irregular dynamics has ever been attributed to the presence of stochastic noise in many systems, but actually it may result from chaotic process in deterministic system.

近年来对非线性动力系统的深入研究发现:观察到某一过程具有指数型概率密度事件分布并不足以确定它就是泊松过程,由具有混沌行为的有限差分方程所产生的时间序列也可具有指数型概率密度分布;在许多系统中,过去归因于随机噪声的不规则动力学特性,实际上很有可能是由确定性系统中的混沌过程所致。

Occurrence of accidents will be made into tree map of event in accordance with logic relation so as to analyse the time order and main cause.

将事故发生条件按前后逻辑关系绘制成事件树形图,并根据参考发生概率计算事故发生概率,从而分析事故发生的时序和主要致因,为事故预防、预测提供依据。

Result-level criteria contain kill-to-loss ratio, kills per engagement, percentage of engagements survived, first shot opportunity, percentage of engagement time offensive/defensive, shots of engagement, kills per firing attempt, air-to-air related accidents, incidence of fratricide.

其中任务级准则包括任务目标完成准则,作战结果级准则包括:击毁/损失比、每次交战所击毁敌机数量、交战生存百分比、首次开火机会、交战中的攻防时间比、每次交战的射击次数、每次射击的击毁概率、空/空作战相关事件、击毁已方飞机的发生概率。

This paper, the future market conditions as a random event, according to the probability of higher mathematics in the theory of the future market and the level of information, analysis and evaluation of mathematical expectation of random variable as a random variable reflects the average level, it is important to the probability of random variable characteristics.

本文把未来市场状况作为随机事件,依据高等数学中的概率理论,对未来市场和信息的水平作出分析和评价,由于随机变量的数学期望体现了随机变量的平均水平,它是随机变量的重要概率特征。

By means of the combination of queue theory and all probability event theory,the paper analyzes the service probability of air defense system in differentgun and missile combination mode.

利用排队论全概率事件理论相结合的方法,分析了弹炮可能的组合方式下的防空体系服务概率。

155 The minimal unit for a probability proposition is this: The circumstances--of which I have no further knowledge--give such and such a degree of probability to the occurrence of a particular event.

5.155 概率命题的最小单元是:诸情况——我对它们别无所知——对一特定事件的发生给与某一概率度。

R. t routing changes is also studied, a transformation method for the calculation of sensitivity of sojourn time w. r. t routing changes is presented. The problem of calculating the performance sensitivity w. r. t buffer siaes in general queueing networks is also solved by using finite event time perturbation analysis.

对计算性能指标对路径概率灵敏性的转换法也进行了研究,提出了一种计算逗留时间对路径概率灵敏性的转换法,本文还应用事件时间摄动的有限摄动分析解决了一般排队网络的性能指标对缓冲器容量灵敏性的计算问题。

On the basis of that,the probability of rear-end collision which is used to express the risk of car-following is calculated by the method of total probability.

首次将追尾事故发生的过程分为前车减速与前车减速条件下的碰撞两起事件,运用条件概率的思想求出追尾事故发生的概率来表征跟车风险。

To the question of non-Nash equilibrium in prisoners' dilemma, this paper makes an analysis to Game Theory's hypothesis: complete rationality, complete information and probability, and gets a result: systems thinking style in complete rationality, the happen of the event of zero probability, and the uncertainty that is brought out when complete information is concordant beliefs, all can bring the appearance of non-Nash equilibrium, and the probability of appearance is decided by the proportion of men who think in systems thinking style.

本文就"囚徒困境"中非纳什均衡出现的问题,对博弈的前提假设完全理性、完全信息以及概率进行了分析,得出的结论是:完全理性中的整体思维方式和概率为零的事件的发生以及完全信息等于一致信念时引起的不确定性,都可能导致非纳什均衡出现,而其出现的可能性则取决于采取整体思维方式的人的比例。

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I am accused of being overreligious," she said in her quiet, frank manner,"but that does not prevent me thinking the children very cruel who obstinately commit such suicide.""

客人们在卡罗利娜·埃凯家里,举止就文雅一些,因为卡罗利娜的母亲治家很严厉。

Designed by French fashion house Herm è s, this elegant uniform was manufactured in our home, Hong Kong, and was the first without a hat.

由著名品牌 Herm è s 设计,这件高贵的制服是香港本土制造,是我们第一套不配帽子的制服。

Do not 'inflate' your achievements and/or qualifications or skills .

不要 '夸大' 你的业绩或成果,条件或者技能。