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Meanwhile, important random acute angle principle、theorem of random full mapping and theorem of random one-one mapping are proved.

同时我们证明了重要的随机锐角原理、随机满射定理和随机一一映射定理。

Then, both the stationary and non-stationary random response of hysteretic system with cubic rigidity and sticky damp were deduced and calculated. In the research of colored white noise, the filter for shaping the power spectral density was designed and the random state response of enlarged vector was gotten. With this, the experimental power spectral curve was changed into colored white noise and the random response could be easily calculated.

对平稳白噪声,给出了平稳响应的求解方法并对平稳状态下的模型参数对响应的影响进行了比较与分析;在有色白噪声的研究里,通过有色白噪声的扩阶方法和构造成型滤波器来计算有色白噪声的响应,从而解决一类工程实际振动问题的仿真模拟。

As for continuous random variable, the connection of distribution function between random variable and its function -- a new random variable can be obtained first according to the definition of distribution function, then the connection between distribution densities can be obtained by derivation; thus the distribution density is solved.

对于连续型随机变量ξ来说,可由分布函数的定义先求出随机变量ξ和它的函数η=f这个新的随机变量的分布函数之间的联系,然后通过求导,得到密度函数之间的联系,从而求得η的分布密度。

The faults of pipelines were separately treated in discrete random variable and continuous random variable using the probability analysis method and choosing the reasonably different probability models based on the fault statistics data of pressure pipelines extracted from random inspection, and the fracture failure probability of pressure pipelines was calculated using the fracture failure risk analysis system for pressure piping system containing defects.

以抽检得到的压力管线缺陷统计数据为依据,采用概率分析方法,通过合理选取不同概率模型,将缺陷分别按离散型及连续型随机变量进行处理,应用在役压力管道失效风险分析系统计算出管线的断裂失效概率。

A decimator receives a feedback random bit sequence and provides an output random bit sequence that is representative of a selective outputting of the feedback random bit sequence.

抽取器接收反馈随机比特序列并且提供输出随机比特序列,所述输出随机比特序列表示所述反馈随机比特序列的选择输出。

Content: In this paper, we investgated the type of two kinds of random Dirichlet series and the order and the type of two kinds of B-valued random Dirichlet series by use the methods of complex analysis, probability and random series.

本文运用复分析、概率论及随机级数的知识与研究方法,研究了两类随机Dirichlet级数的型和两类B-值随机Dirichlet级数的级和型,全文共分三个部分:第一章:简单介绍本研究方向的发展历史,研究现状以及一些必要的预备知识及其记号。

Based on the equivalent transformation from fuzzy possibility distribution to random probability density distribution, the fuzzy random failure probability calculation can be formulated easily, and a First Order and Second Moment method for fuzzy - random analysis is established.

提出了模糊随机可靠性分析的近似解析和数字模拟综合方法,基于模糊变量的等价随机化变换,可以方便地得到模糊随机失效概率的计算公式,并建立了模糊随机可靠性分析的一次二阶矩法。

The mechanical parameters in the model are treated as random variables and it is then resolved with Taylor extension stochastic finite element method, The distribution characteristics of the pore pressure, the effective stress and the displacement are researched by treating the mechanical parameters of the rock as random variables. The sensitivities of the pore pressure, the effective stress and the displacement to the random mechanical parameters are also analyzed.

视模型中的参数为随机变量,采用Taylor展开随机有限元法对该模型进行数值模拟,研究参数具有随机性情况下耦合场中孔隙压力、有效应力,位移等场变量的随机分布特征及孔隙压力、位移等场变量对参数的灵敏度。

By regarding fuzzy random variables as the particular case of measurable fuzzy setvalued functions and systematizing the achieved results [55~56] , opening further up the study, the paper introduces the concepts of complex fuzzy random variable, the distribution function and fall-shadow distribution function of complex fuzzy random variable, and investigates their fundamental properties.

6将动态模糊集合与模糊集值函数的概念推广到了动态复模糊集合和复模糊集值函数的情形,并且讨论了它们的若干基本性质

In order to improve the validity and reliability of the model, the random state of weapon systems after accomplishing the mission at random time is regarded as a random process, and the computing model of the dependability matrix is established by using Kolmogorov backward and forward equations of the continuous time homogeneous Markov chain. The transfer probability is found by solving the matix differential eguation.

为了提高模型的有效性和可信度,将武器系统在执行任务后任意时刻处于某种状态看作是一个随机过程,应用连续时间齐次马尔可夫桩的柯尔莫哥洛夫向前和向后方程建立可信赖度矩阵计算模型,求解矩阵微分方程得到转移概率。

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"Yes, now you can give yourself airs," she said, you have got what you wanted.

"对了,您现在高兴了,"她说道,这是您所期待的。

Then the LORD said to me: Rebel Israel is inwardly more just than traitorous Judah.

上主于是对我说:"失节的以色列比失信的犹大,更显得正义。

I do my best to guide my congregation,ok?

我尽了全力引导会众明白吗?