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In the study of the stochastic chaos in simple pendulum, the random Melnikov process is derived and the mean-square criterion is used to determine the threshold amplitude of the bounded noise excitation for the onset of the chaos or random chaos in the system. For the coupled simple pendulum and harmonic oscillator, the Melnikov function is used to determine the condition for the onset of chaos in the case of Hamiltonian perturbations. In the case of non-Hamiltonian perturbation, the generalized random Melnikov process and mean-square criterion are used to determine the threshold amplitude of the bounded noise for the onset of random chaos.

在随机混沌研究中,应用随机Melnikov过程的均方准则研究了单摆在有界噪声激励下发生混沌或随机混沌时有界噪声激励的临界幅值;对于耦合的单摆-谐振子系统,先用Melnikov函数研究了在哈密顿扰动下发生混沌的必要条件;然后用推广的随机Melnikov过程方法研究了在非哈密顿扰动下发生随机混沌的必要条件;用最大Lyapunov指数及Poincaré截面方法结果与上述理论结果作了对比。

In the third part, we study an application of stereographic projection transformation in statistics, deriving Box-Muller formula (use two independent uniform random number to generate two independent standard normal random number) and spherical symmetric distribution (a product of a positive random variable and a random vector with uniform distribution) in multivariate statistical analysis.

第3章,研究了球极投影变换在统计中的应用,通过球极投影变换获得了利用两个相互独立的均匀随机数生成两个相互独立的标准正态随机数的Box-Muller公式以及多元统计分析中的球对称分布(一个正的随机变量和一个与之相互独立的均匀分布的随机向量的乘积)。

And according to Krashen's (1980) Input Hypothesis, different learners at different levels should be given different suitable input. So the present thesis studies what kind of listening input is comprehensible for the intermediate college students and hypothesizes that the memory for random digits is subcomponent of primary memory, and that the memory for random words and for phrases are the subcomponents of speech-processing memory; these components rank in order of phrases contributing the most to an explanation of the variance in listening scores, random words the second and the random digits the least.

因此本论文旨在研究什么样的听力输入适合中级水平中国大学英语学习者,并且假设对随机数字的记忆是基础记忆的成分;而对单词的记忆和对词组的记忆是语言处理记忆的组成部分,并且以上各成分对听力理解的影响依次是对词组的记忆影响最大,对单词的记忆位于第二位,对数字的记忆位于最后。

The local averaging method is used to discretize the random field, correlated random variables are transformed to a set of uncorrelated normalized random variables, combining viscoelastic stochastic finite element method with H-L algorithm, the reliability of solid propellant grain is studied with different random parameters.

为了讨论各类随机因素对药柱结构可靠性的影响,采用局部平均法离散参数随机场,并通过相关结构分解成归一化的独立随机变量,将可靠度指标算法和粘弹性随机有限元法相结合,进行了固体推进剂药柱的结构可靠性分析。

The random errors of main factors in flood regulation process are identified; and combining flood forecast, the randomnesses of main parameters such as initial reservoir level, inflow flood, outflow flood, etc., are analyzed. By using the first order second moment method and theoretic distribution, the random distributions of parameters are described then the routing process of a certain preflood limit water level is random, which can well reflect the random preflood influences in actual regulation.

对防洪调度过程各主要相关参数进行了随机误差识别,结合洪水预报对起始水位、人库洪水、泄流等主要参数的随机性进行分析,应用一次二阶矩法和相应的理论分布函数描述事件的随机分布,对应某一汛限水位的调洪过程不再是一确定过程,而是具有随机分布特性,反映了实际防洪调度中各随机因素的影响作用。

Our main result is for any immigration-emigration birth and death matrix random environment, q, with birth rateless than death rate, there are a unique q-process in random environment P9*(0;t and a bi-immigration birth and death process in random environment with random transition matrix P(9*{Q);t such that P9*(0;t is ergodic and X* is a strictly stationary process.

在这一部分,我们将经典的生灭过程理论推广到了随机环境下,证明了对任意给定随机环境移入-移出-生灭密度矩阵q,当生率小于死率时,存在一个唯一的随机环境下的q过程—θ~*(0;t和随机环境下的移入-移出-生灭过程,使得严平稳,遍历,其随机转移阵为?

A new data management algorithm for anycast based random sampling in sensor networks;2. Composite random sampling algorithm for scheduling concurrent projects;3. In the existing methods of random summing of total resource,the shape of the total resource curve sometimes distributes skewly,in view of which,the new method was put forward to improve random sampling .

针对现有的资源总量随机求和中存在的资源总量曲线形态有时呈偏态分布的问题,提出了对其随机抽样方法的改进方案,即把随机抽样入口由原来定义在(0,1)区间上改为定义在(0,ki)区间上(ki为第i个局部地质单元的石油资源量保险系数),利用(0,ki)区间上均匀分布的随机数对风险分析后的资源总量分布函数进行随机抽样。

Throughout comparing the above estimating methods, we have the following results: the estimators of the moments of the errors does not depend on the random effects, and that of the random effects does not depend on the errors, and then the corresponding asymptotic variances are very simple and optimal; when the random effects are multivariate, we can not construct different estimating equations for the random effects and errors respectively, which results that the asymptotic covariances of estimation are very complex and then the estimating efficiency is bad.

比较上述两种估计法,我们发现:当随机效应是一维的时侯,误差的各阶矩的估计不依赖不可观测的随机效应,随机效应的估计也不依赖误差,因此,估计的渐近方差结构特别简单也是最优的;而当随机效应是多维的,因为随机效应的协变量的影响,我们没有办法针对随机效应和误差的各阶矩分别建立估计方程,这导致所得的估计的渐近方差或者协方差矩阵特别复杂,从而估计的效果不是很好。

Simple random sampling is the case where n objects are selected at random from a population, and each member of the population is equally likely to be included in the sample.

简单随机抽样是指从总体中随机取样n次,使得总体中的每个元素在样本中的出现的可能性相同。

C. albicans bar1 a cells were shown to secrete both a and mating pheromones;-pheromone activated self-mating in these cells in a process dependent on Ste2, the receptor for -pheromone.

现在,另外一种新颖的有性生殖模式已在"白念珠菌"中被发现:在特定情况下,即在没有为一种分泌出的蛋白酶编码的BAR1基因存在的情况下,高效同性交配可在a-型细胞之间进行。

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推荐网络例句

Vishnu entered a dark fourth dimensional dream that did not support his field or continued life.

毗瑟挐进入了一个第四密度的黑暗梦想,那里并不支持他的能量场或继续生命。

Leaders and decision-making persons use it to collect the data, including the information of unit work, handing in fee, oweing fee, prepaying fee,changing and afterpaying and account transfering of joining-insurance employee, and account paying of all kinds of insurances from hospitalization insurance institutions.The collected data is picked up, organized, switched and showed to user.

该子系统主要面向各级领导、决策分析人员;从各个医疗保险经办机构和定点医疗机构采集数据,包括在各个医疗保险经办机构处理的单位办公信息,单位缴费、欠费、预缴费信息,参保职工变更信息,参保职工增减变动信息,参保职工补缴信息,参保职工帐户划拨信息:包括各定点医疗机构处理的各险种帐户支出信息,各险种的统筹金支付信息等;将采集的数据提取,组织和转换,然后展示给用户。

BaTan focus on the town in order to speed up the construction of the town as an opportunity to carry first to target in order to handle the project for a breakthrough to achieve industrialization and urbanization as a development engine.

八滩镇以加快重点镇建设为契机,以进位争先为目标,以项目突破为抓手,把实现工业化、城镇化作为发展的重要引擎。