介绍了用古典概率和随机变量的数字特征来解决数学分析中的一些恒等式问题。
This paper introduces the problems of some identical equation solved by the numerical characters of the classic probability and stochastic variable.
畅通可靠度是在考虑交通供给和交通需求的随机变化特性的基础上，借鉴网络可靠性分析方法，提出的概率型指标。
On the basis of randomness analysis of traffic demand and supply and the reliability analysis of network, the concept of unblocked reliability was presented.
利用概率分析和随机模型的密度演化方法，导出了系统的一些新的可靠性指标和最优检测策略。
The new system reliability indices and the optimal inspection policy are obtained by using probability analysis and the density evolution method in stochastic.
依据随机性和模糊性的基本概念，提出了当量概率密度函数的模糊可靠性分析方法。
Based on the concepts of randomness and fuzziness, a fuzzy reliability analysis method of probability density function equivalent is proposed in this article.
考虑到混凝土碳化的随机性，提出了混凝土碳化寿命的概率分析方法。
Considering the randomness of concrete carbonation, the paper put forward a probability analysis method of concrete carbonation span-life.
对这两种极限状态，应分别采用随机事件和模糊随机事件概率的数学模型进行其可靠度分析。
The mathematical models of probability of random event and fuzzy random event should be taken to analyze the reliability of a structure for these two kinds of limit state.
针对随机压电智能桁架结构研究了基于概率的结构闭环控制系统动力响应分析模型与方法。
The problems of dynamic response analysis of closed loop control system based on probability for the random intelligent truss structures are studied.
FSQTL能够建模实时系统中的确定时间、概率时间、随机时间和模糊时间，并利用可能性实现对性能需求的分析。
FSQTL can model the deterministic time, probability time, stochastic time and fuzzy time, and analyze the performance by possibility in real-time systems.
通过概率密度函灵数及平均相轨线的分析，指出该系统在这两种情况下作所谓的混沌随机运动。
Through the analysis of their probability density function and mean trajectory, it shows that this system in these two cases can occur chaotic stochastic motion.
文中分析了在白高斯随机噪声情况下，系统的虚警概率和捕获概率。
Propabilities of false alarm and acquisition of the system in white gaussian noise are discussed.
文中针对随机参数压电智能桁架结构研究了基于概率的结构动力特性分析方法。
The problem of dynamic analysis based on probability for the intelligent truss structures with random parameters are studied in this pap er.
通过对放矿随机过程的分析，提出了以布朗运动为理论基础的放矿过程散体颗粒移动的概率密度方程。
Based on the principle of Brownian motion, the ore drawn stochastic processes are analyzed and the probability density equation of loose bodies is thoroughly discussed and given in this paper.
方法采用非概率随机抽样方法，选取283户家庭进行调查，并对调查结果进行统计、分析。
METHODS: a total of 283 families were investigated by random sampling, and the results of investigation were analyzed statistically.
针对随机参数压电智能桁架结构研究了基于概率的结构闭环控制系统动力响应分析模型与方法。
The problems of dynamic response analysis of closed loop control system based on reliability for the intelligent truss structures with random parameters were studied in this paper.
基于随机安装偏差模式，利用空间有限单元法和概率方法，分析了网架结构由于安装偏差引起的初始应力和初始位移。
Based on the assumption of random installation deviation, the finite element met hod analyzing the initial displacement and stress of grid structures was set up.
分析过程中，运用了定量风险评估技术和多维随机变量联合概率随机模拟技术。
In the analysis, the "quantitative risk assessment" technology and "stochastic simulation technique for non-Guassian multivariate random variables with different correlations" technology are used.
随机分形是融概率论、经典分析和几何学于一体的新兴数学分支。
Random fractal, which involves probability, classical analysis and geometry, is a new mathematics branch.
运用概率和统计的方法对有代表性的光束随机抖动测试结果进行了二元统计分析。
With adopting means of probability and statistics, the representative testing result of the beam random jittering is analyzed by dualistic statistics.
分析引起射弹散布的原因，选取初速和射角作为建立随机概率模型的初始参数。
The reason of the projectile dispersion is analyzed and the initial velocity and elevation Angle are taken as the initial parameter to formulate the random mathematic model.
然后综合利用概率论、随机过程、移位寄存器理论等知识分析了该生成器各相关序列的性质。
Then each correlative sequence of this generator is analyzed by the knowledge of Probability, Stochastic Processes, Feedback Shift Register, etc.
同时，分析了储油罐震害预测中影响较大的随机性因素，并建议了主要随机变量的概率模型和统计特征值的选取方法。
The most important random factors in the earthquake disaster prediction is analyzed, the probabilistic model and statistical characteristic value of the primary random variables are also put forward.
概率性抗震分析方法中的随机振动虚拟激励法。
Seismic analysis of probability includes: the random vibration and the pseudo excitations method.
热疲劳；随机变量；概率分析；焊点；对数正态分布；
Thermal fatigue Random variable Probabilistic analysis Solder joint Lognormal distribution;
提出了地基沉降分析中的不确定因素，简述了地基沉降的直接概率分析法、随机有限元法。
Uncertain factors of foundation subsidence were put forward. Direct probability method and random finite element method for foundation subsidence analysis were presented.
在此基础上提出的裂纹扩展失效概率分析方法，能考虑夹杂空间位置随机性及扩展过程中的裂纹合并情况。
Based on the model, a failure probability analysis method of crack growth is presented which takes the randomness of inclusions' position into consideration.
由于地震灾害具有强烈的随机性和不确定性，因此采用概率风险分析技术对地震灾害风险进行分析和评估是自然的选择。
Because of the randomness and uncertainties of earthquakes and structures, it is a natural choice to analyze and evaluate the risk of earthquake in the way of seismic risk analysis.
在进行岩土工程可靠度分析时，首要问题是确定土性参数各随机变量的概率特性。
In the analyses on the reliability in geotechnical engineering, the principle problem is to decide the probabilistic characteristics of soil indexes.
由此给出了人误概率的可能性分布函数，建立了基于人误概率可能性分布的结构模糊随机可靠度分析模型。
In this paper, the analysis model of structural fuzzy-random reliability of considering human error probability possibility distribution function is derived.
本文通过大量的试验、调查分析，得到了组成铁路桥梁永久作用各分随机变量的统计特征值，并进一步分别得到了钢桥、混凝土桥桥上永久作用的概率分布。
In this paper the probability distribution curve of the dead Loads acting on railway Bridges is obtained through a great number of experiments, investigations and analyses.
针对电压稳定概率评估中难以考虑支路故障随机性的问题，提出了基于点估计法的电压稳定分析方法。
The problem of taking random branch outages into account in probabilistic evaluation of voltage stability is studied, and an efficient point estimate method based is proposed.
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