查询词典 random

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。

The following conclusions have been made in this paper.(1) Based on CO_2 flux data of eddy covariance, variation characteristics of gross primary productivity in four flux observation stations were studied, which are an alpine meadow, an alpine shrub meadow, a swamp alpine meadow and a steppe alpine meadow at Dongxiong. The results show that photosynthetic capacity of the alpine meadow is the highest, and the annual total GPP is 652.2g C/m~2. Daily-differencing approach is used to analyze the random error of CO_2 fluxes measurements. The results show that the distribution of random error follows more closely follows a double-exponential, rather than a normal distribution, capturing the high peak and thick tail, and the random error varies with environment variables, which violates the assumptions for the ordinary least squares fitting with normality and homoscedasticity, consequently, we introduce maximum likelihood method for parameter optimization.

本文主要在以下几个方面开展工作并获得了一些认知和结论：(1)通过分析样带区域内高寒草甸、高寒灌丛、沼泽化湿地和草原化高寒草甸四个通量观测站点草地生态系统总初级生产力变化特征，研究结果表明HBBT矮嵩草草甸生态系统植被光合作用能力较强，年GPP总量为652.2 gC/m~2，明显高于其他三种生态系统；通过利用"单塔日变化法"获得四站点通量观测数据随机误差，结果表明通量观测随机误差概率分布呈现尖峰厚尾的特征，与正态分布相比，更服从双边指数分布，进一步分析表明通量观测随机误差随环境变量(风速、温度和光合有效辐射)的变化而变化，这违背了普通最小二乘法进行生态过程模型参数优化正态分布且误差同质的假设，因此本研究中引入最大似然法进行生态过程模型参数优化。

In Chapter 3, using the distribution theory, we discuss the precise largedeviations of heavy-tailed random sums and the integral representation of the tailasymptopics of the maximum on a random time interval of a random walk with heavytailed increments.

在第三章，我们利用分布理论对重尾随机和的精致大偏差以及重尾随机游动随机时的最大值的尾渐近性的积分表示讲行了讨论。

Firstly, the article expatiates the concept of fuzzy reliability and the relation between random and fuzzy. It presents a list of random-finite element formula that is suitable for the reliability analysis for mechanical rigid frame system. Secondly, it presents two arrangements' reliability analysis methods that fit for component and fabric system. Finally, according to the characteristic of engineering mechanical, the article first brings forward half random-half fuzzy"stress-intensity intermeddle model"for mechanical intensity analysis, and according to Gerber equation for weariness intensity calculation, the article presents fuzzy number's calculating principle and the fuzzy reliability analysis method for engineering structure weariness intensity.

首先阐述了模糊可靠性概念、随机性与模糊性的关系；在导出摄动随机有限元法随机变量的变分原理、随机有限元控制方程和递归方程组基础上，给出了适合于工程机械刚架系统可靠性分析的随机有限元列式；给出了构件和结构体系两个层次的可靠性分析方法；根据工程机械的特点，首次提出机械强度分析的半随机半模糊"应力-强度干涉模型"，并依据疲劳强度计算的Gerber方程，给出了模糊强度的模糊数运算法则及工程结构疲劳强度模糊可靠性分析计算方法，该方法具有简便实用的特点和普遍意义。

This project also obtained several limit theorems for some important dependent random variables and stochastic processes, such as the Strassen law of the iterated logarithm for negatively dependent random variables, strong limit theorems for mixing random vectors in Banach spaces, sample path properties for two-parameter fractional Wiener processes, and so on.

随机环境中的随机变量与随机过程的研究在国内外相当活跃，本项目主要研究它们的极限性质，着重研究了随机风景中随机变量与随机过程的极限性质，主要取得了以下几个结果：首先对简单对称的Kesten-Spitzer随机游动在低阶矩的条件下给出了强逼近，大大减弱了前人要求任意阶矩的条件，然后对独立风景中的一般随机变量给出了强逼近的一般性结果，由此导出在风景和随机变量都只具有低阶矩的条件下的独立但不同分布、混合相依变量的强逼近，在只有弱高于二阶矩的条件下得到了重相对数律和弱收敛；给出了连续时间参数的Brown风景中Brown运动和稳定风景中稳定过程的滞后增量和连续模等精确样本轨道性质；同时给出了一些重要的相依随机变量和过程的若干极限定理，如负相关随机变量的Strassen重对数律、抽象空间上混合相依变量的一些强极限定理成立的充分必要条件、两参数分数Wiener过程的样本轨道性质等。

Good on a random number generator, including normal, lognormal distribution, uniform distribution of many random distribution of random selection.

很好用的随机数产生器，包含正态分布，对数正态分布，均匀分布等好多随机分布的随机数产生方法。

Phage display of recombinant human lymphotoxin mutation librariesand receptor affinity screeningContraction of conformable large molecule mutation library is pivotal for molecular evolution study in vitro. In order to extend the range of the screening region of amino acid in LT gene, several receptor binding sites of LT were mutated randomly by overlap PCR amplification with the random nucleotide primers, the R46, S106, L130 combined site-directed random mutation library and R46~A52, S106~F110, R46~A52 + S106~F110 region random mutation libraries of rhLT were constructed successfully.

二。重组人淋巴毒素噬菌体库的构建及受体亲和筛选构建适合的大容量生物大分子变异体文库是进行体外分子进化研究的关键，为了扩大LT基因序列中被筛选的氨基酸范围，我们采用含随机核苷酸序列的引物，通过Overlap PCR的方法对LT的受体结合区域进行多点随机突变，分别构建了rhLT R46+S106+L130三点随机突变组合文库和R46～A52、S106～F110、R46～A52+S106～F110区域随机突变体库。

Based on chapter two, In chapter three, the method of multiple scales is introduced to the study of the multiple-dimensional nonlinear stochastic systems under random external excitation. Using method of multiple scales, we strictly deduce the equation of modulation of amplitude and phase. The effects of random excitations are analyzed; numerical simulations verify the results. Theoretical and numerical simulations show that when the intensity of the random excitation increases, the nontrivial steady state solution may be changed from a limit cycle to a diffused limit cycle.

在第二章基础上，第三章将多尺度法引入到相应的随机系统的研究中；严格推导了系统的约简方程，用矩方法求出稳态解应满足的方程，获得一些结果；并且数值模拟结果与理论推导的结果是一致的；并注意到，与其对应的确定性系统相比较，系统响应从周期解变为近似周期解，系统的相轨线从极限环变为扩大的近似极限环；随着激励带宽的增大，此扩大的近似极限环的宽度将增大。

The results obtained in the thesis are as follows: Firstly, the thesis proves that the inner measure and outer measure which defined by Fagin and Halpern are a kind of random sets, generalizes the concept of random sets to Boolean algebra's, and hence establishes the theory of the generalization of random sets.

本文的主要结果如下：①本文证明了Fagin和Halpern提出的内、外测度可表示为一种随机集合，并把随机集合的概念从幂集合推广到了布尔代数上，从而提出了广义随机集合理论。

Objective To investigate the effects of interleukin-1 β converting enzyme gene on the biologic characteristics of ovarian cancer cells.

目的 探讨白细胞介素-1 β转换酶的表达，对卵巢癌细胞生物学特性的影响。

Campylobacter: This illness is the most commonly identified cause of diarrheal illness in the world.

弯曲：这种病是最常见的原因查明腹泻病，在世界上。