平稳过程

Chapter 1 gives the background,current research process of relatedproblems and summarizes this thesis\'s work.In chapter 2,we study the Brownian motion with holding and jumping on the boundary.We use the resolvent method to obtain the infinitesimal generator because the domain of the infinitesimal generator is essentially the same as the range of the resolvent.Knowledge of this range and of the differential operator determines uniquely the infinitesimal generator.Since the semigroup generated by the DHJ is not strongly continuous,to use the nice property of strongly continuous semigroup in analytic theory,in chapter 3 we show that the dual is strongly continuous and derive ergodicity through spectral radius formulas and finally obtain the ergodic theorem by duality. In chapter 4,we discuss a class of a more general process---one dimensional Feller diffusion proposed by W.Feller in 1954.The Feller diffusion allows the possibility of jumps from boundary to boundary,not only from boundary to the interior.We give the stationary distribution of this process.

具体地，本文的结构如下：第一章给出了问题产生的背景，研究现状及本文的主要工作；第二章研究了在边界上逗留后随机跳的布朗运动，我(来源：3dABC论文网www.abclunwen.com)们用预解算子的方法得到其无穷小生成元，因为无穷小生成元的定义域本质上就是预解算子的值域，知道这个值域和微分算子形式就能唯一地决定无穷小生成元；由于DHJ过程产生的半群不是强连续的，为利用强连续半群的一些漂亮性质，在第三章中我们证明其对偶半群是强连续的，然后由谱半径公式得到遍历性并且最后由对偶得到遍历定理；第四章讨论了Feller在1954年引入的更广的一类过程----一维Feller扩散过程，Feller扩散过程允许有从边界到边界的跳发生，即不仅仅局限于从边界到内部的跳，在这一章中，我们给出了一维Feller扩散过程的平稳分布；在第五章，我们讨论了一些相关的问题，给出了DHJ过程对应的PDE问题及特征值与收敛速度的关系。

The earthquake ground motion model is simulated as nonstationary stochastic process model that is used as equivalent stationary stochastic process.

将地震地面运动模型模拟为非平稳随机过程模型，对其进行等效平稳化。

An approximation method of queueing networks in series with exponential servers with buffers, Poisson arrivals and block ing is presented.

本文讨论产品以Poisson过程到达，有K道加工工序，每加工点是有限容量且服务服从指数分布带受阻的排队网络，并给出了平稳条件和在平稳条件下以三节点组合逼近方法得到平均队长。

An online mixture of experts is used to divide the HRRP data into several regions within which online Gaussian process classifier make predictions.

通过一种在线混合专家将HRRP数据在线地分割成若干个近似平稳的区域，在各个区域内使用平稳协方差函数的在线高斯过程分类器。

The results indicate that the flow stress of the alloy increases with increasing strain rate and decreasing deformation temperature. The flow stress increases with increasing strain until the stress reaches the peak value, then the flow stress remains constant, which indicates that dynamic recrystallization happens during deformation. The flow behaviors are described by the hyperbolic sine constitutive equation, and the activation energy calculated is 337.75 kJ/mol. The as-forged microstructure consists of refined α2/γ and γ grains, and the grains are much homogeneous than before. The B2 phase distributes uniformly at the grain boundary of α2/γ and γ grains. The B2 phase decreases with increasing deformation temperature.

结果表明：流变应力随着应变速率提高和变形温度降低而增大；在变形过程中，流变应力随着变形量增大而增大，当流变应力达到峰值后趋于平稳，表明合金在变形过程中发生了动态再结晶；热变形过程的流变应力可采用双曲正弦本构关系来描述，平均激活能为337.75 kJ/mol；从合金的组织演化过程中可以看出，合金中不均匀的原始组织得到明显均匀化，变形后的组织是由α2/γ层片晶团和γ晶粒组成的双态组织，在α2/γ层片晶团和γ晶粒的晶界交界处发现分布均匀的B2相，并且随着变形温度升高B2相数量逐渐减少。

Methods The definition of stationary random processes and joinly stationarity and the method of mathematics induction are used.

方法利用了平稳随机过程和联合平稳性的定义及数学归纳法。

In this paper, the stationary and non-stationary random wind-induced response, dynamic reliability and optimization under the dynamic reliability constraint of structures with foundation rotation and tall building with TMD or TLD is studied systematically. Three achievements are gained. 1. According to the situation that Davenport wind spectrum is irrational fraction, the equivalent wind spectrum is generated by linear filtered process.

本文对基础转动结构、带TMD或TLD结构的高层建筑和高耸结构的平稳与非平稳随机风振响应、动力可靠性分析以及基于动力可靠性约束的优化设计方法进行了系统的研究，取得了以下成果：1、针对Davenport脉动风谱为非有理分式风谱，通过线性滤波过程和三参数拟合，生成了与Davenport风谱等效的脉动风谱。

The processing route, technology and characteristics of the MTBE unit in Harbin Refinery are presented. The main operation factors, such as catalyst packing and performance, reaction temperature and pressure, and the effects of alcohol/alkene ratio on isobutylene conversion and MTBE quality, are discussed. The problems occurred during production and their solutions are also summarized.

介绍了哈尔滨炼油厂MTBE装置的工艺路线、新技术的应用及特点；催化剂的装填及应用情况；总结了生产过程中遇到的一系列问题及解决办法；探索了平稳生产的新徐径，以保证装置安全、平稳、长周期运行；同时对反应器操作温度、催化蒸馏塔操作压力、原料中醇烯比等因素对异丁烯转化率及MTBE产品的影响做了简单的总结。

Some methods to arise the calculating efficiency for multi-dimensional random earthquake vector processes were proposed. To one dimensional process, the influences of all models to simulated target PSD and mean response spectrum were studied. The importance of frequency properties to models was demonstrated.

还对一维随机过程的平稳与非平稳情形，研究了频率特性对拟合目标功率谱的影响和对单自由度振子反应谱的影响，由此证明了频率特性在拟合模型中的重要性。

However, almost all the current theories for climate prediction, including the ones in statistics and nonlinear science, are based on assumption that the process is stationary which is contrary to the nature of the climate process.

在大气运动中，气候正是一个典型的非平稳系统，但是现有的气候预测理论，包括统计预测理论和非线性预测理论，几乎都无一例外地建立在平稳性假定的基础之上，这有悖于气候过程的基本性质，因此它有可能是导致气候预测水平低下的重要的理论原因。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。