可靠性概率

Then the FPK equation governing the joint probability density of amplitude and phase, the backward Kolmogorov equation governing the conditional reliability function, and the Pontryagin equation governing the mean first passage time are established, respectively.

随机微分方程。在此基础上，建立联合概率密度满足的Fokker-Planck-Kolmogorov方程、条件可靠性函数满足的后向Kolmogorov方程以及平均首次穿越时间满足的Pontryagin方程，分别求解这些方程得到联合概率密度、条件可靠性函数以及平均首次穿越时间。

Based on the flaw of the probability reliability model in the case of small amount of information,non-probability and mixed probability/non-probability reliability models are presented. When the uncertainty of the basic random variable is described by convex, analytical and numerical methods are constructed to calculate the convex of response variable. The infinite norm index, which is the minimal infinite norm distance from original coordinate point to the surface of the limit state in the standard interval space, is presented to measure the safety of the structure.

针对概率可靠性模型在小子样信息下的缺陷，建立了非概率可靠性模型及概率—非概率混合可靠性模型；给出了用集合来描述变量不确定性时，极限状态变量变化集合的解析解和数值迭代解法；提出了物理概念明确且十分易于工程应用的度量结构、机构安全程度的无穷范数指标，它是标准区间空间中坐标原点到极限状态表面的最小无穷范数距离。

In the paper, based on the hypothesis that the failure of every poles is independent and by the method of reliability assign and reassign, the difficult problem of disposing the structure system reliability constraints is solved. Based on sensitivity information, the given system failure probability can be replaced by the sum of every element failure probability.

针对基于体系可靠性约束优化设计的关键问题一结构体系可靠性的分析和计算，在基于结构各单元失效相互独立假设的基础上，提出了以各单元失效概率摘要之和近似体系失效概率的处理方法，并给出了体系可靠性分配和再分配的方法，以确保结构体系在优化过程中的可靠性，实现了结构基于体系可靠性的优化设计。

In the paper, based on the hypothesis that the failure of every poles is independent and by the method of reliability assign and reassign, the difficult problem of disposing the structure system reliability constraints is solved. Based on sensitivity information, the given system failure probability can be replaced by the sum of every element failure probability. And then the structural optimization design based on system reliability is preceded.

针对基于体系可靠性约束优化设计的关键问题一结构体系可靠性的分析和计算，在基于结构各单元失效相互独立假设的基础上，提出了以各单元失效概率之和近似体系失效概率的处理方法，并给出了体系可靠性分配和再分配的方法，以确保结构体系在优化过程中的可靠性，实现了结构基于体系可靠性的优化设计。

By using Visual Basic, based on NASTRAN finite element analysis, this paper developed an efficient and convenient software which can process automatically the result of NASTRAN analysis and establish the database, and compute the failure probability of structural element and system, plot the contour of failure probability.

在NASTRAN有限元分析结果的基础上，以Windows95为开发平台，以VisualBasic为开发工具，开发了一个效率高，使用方便的结构可靠性分析软件该软件可以自动处理NASTRAN的计算结果，建立数据库，计算结构单元和系统的失效概率，绘制结构失效概率分布云图等，为工程人员在有限元计算的基础上进一步进行可靠性分析提供了一个方便、快捷的工具

Because of high speed and large amount of services, protection becomes very important for SDH system design.

分析了四种典型自愈环的结构，保护原理，建立了其概率模型，分析比较了它们的网络可靠性及链路可靠性随故障概率及节点数变化的情况。

The uncertain parameters of cylindrical spiral spring fatigue strengthen analysis are analyzed and described as interval variables, and an interval analysis model is established, and the non-probabilistic reliability index of cylindrical spiral spring fatigue strengthen is presented.

分析圆柱螺旋弹簧疲劳强度分析中的不确定性，将圆柱螺旋弹簧设计中不确定参数描述为区间变量，建立圆柱螺旋弹簧疲劳强度非概率可靠性分析的区间模型，提出圆柱螺旋弹簧疲劳强度非概率可靠性的指标。

Then we introduced transition probability kernel for the hidden state process and the confederated process. In the deep research, we found that some similar parameters of state transition probability, observation symbol probability and initial state probability were involved in the transition probability kernel of the confederated process. So we can complete the training of traditional HMM parameters by training the transition probability kernel of the confederated process. To our surprised, we got the consistency of transition probability kernel of the confederated process. Meanwhile, we proved the rationality and reliability of the parameters estimation equations under the classical B-W algorithm.

然后对联合过程的转移概率核展开研究，我们根据过程的取值空间的不同，引入了隐状态空间和联合过程空间上的转移概率核，研究中发现在联合空间上的转移概率核包含了在一般的隐马氏模型的参数估计中的所有类似的三组参数(转移概率，观测概率和初始概率)，因此对传统的隐马氏模型的参数训练我们可以通过联合过程的转移概率核的训练来完成，更令我们惊奇的是联合过程的转移概率核还具有一致性；同时对于Baum提出的经典的B-W算法给出的关于模型的参数重估计公式，证明了它的合理性和可靠性，即模型经过重估计后的参数能够满足给定的单观测序列在模型下发生的概率是单调递增的。

It's necessary to study probabilistic fatigue life curve and probabilistic crack growth curve of welded steel components in order to design fatigue reliability and to evaluate fatigue life in service of steel constructions.

焊接钢构件的概率疲劳寿命曲线和概率裂纹扩展速率曲线是进行钢结构疲劳可靠性设计和服役期间剩余疲劳寿命可靠性评估所必须的。

Secondly, in spite of the reliability of software and control system, the mechanical system reliability of automatic yarn evenness tester is researched using FTA, and fault trees of each unit and system are established by analyzing its structure and function. According to system reliability theory and events probability, the mechanical system fault tree is analyzed by means of qualitative analysis and quantitative calculation, the system weak parts are found , and the ways are put forward to improve the mechanical system reliability.

其次，在不考虑软件及控制系统可靠性的情况下，利用故障树分析的方法，对全自动条干仪机械系统可靠性进行了分析研究，通过对其结构、功能的分析，建立了单个单元的故障树和系统的故障树；并根据系统可靠性的原理和事件发生的概率，进行了定性分析和定量计算，找出了系统的薄弱环节，提出了提高机械系统可靠性的途径。

Fancy gold-plated dangling earrings with facetted White Opal crystals.

花式镀金悬垂耳环与facetted白欧泊水晶。

This essay chooses the study aim from biology teachers in middle school in Shi Jiazhuang which tells us that most of the middle school biology teachers in Shi Jiazhuang have the"burnout", lower successfulness, individualize.

本文选取石家庄市初中生物教师作为研究对象，运用问卷调查的方法对石家庄市初中生物教师职业倦怠的现状进行调查，调查结果发现，石家庄市初中生物教师这一群体普遍存在职业倦怠，情感枯竭程度偏高，成就感偏低，去个性化程度最为严重。