查询词典 stochastic dependence

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。

Stochastic control system ; limited control ; exact controllability ; backward stochastic differential equation

本文组织如下，第二节引入主要定义，介绍倒向随机微分方程及彭有关随机精确能控性

Studies on statistical properties of spontaneous spike trains of single auditory nerve have shown that the distributing patterns of interval in spike trains represent Poisson distribution. Since Poisson distribution is one of the simplest stochastic processes, previous studies on spontaneous spike trains of single auditory nerve were performed primarily by assuming them as stochastic processes. Recently, further studies on nonlinear dynamic system show that we have not enough evidence to demonstrate the process, whose distribution of probability density is exponential, is Poisson process.

中文题名豚鼠听神经单纤维放电序列的非线性特性分析副题名外文题名 Analysis on nonlinear properties in spike trains of single auditory nerve fiber in guinea pig 论文作者林龙年导师孙心德教授学科专业生理学研究领域\研究方向听觉神经生物学学位级别博士学位授予单位华东师范大学学位授予日期2001 论文页码总数91页关键词听神经听觉神经生理豚鼠馆藏号BSLW /2001 /Q42 /41 对听神经单纤维自发放电序列的统计特性研究表明，听神经单纤维放电间隔呈泊松分布，而泊松过程是最简单的随机过程之一，因此以往的研究主要将听神经单纤维自发放电序列作为随机过程来处理。

Thus far, little has been known for the extreme value distribution of general structural dynamic stochastic responses, except for some special results, say, the Rayleigh distribution in the case of narrow - banded Gaussian stochastic processes.

由于基于首次超越破坏准则的结构动力可靠度问题可以转化为相应动力反应极值分布的积分问题，获取结构动力随机反应的极值分布具有重要的意义川。

Basic concepts of stochastic processes: family of finite dimensional distribution functions, numerical characteristics of stochastic processes.

随机过程的基本概念：有限维分布函数族，随机过程的数字特征。

Advanced course covering topics selected from: semimartingale theory, stochastic integrals, homogeneous chaos expansions, stochastic differential equations, Malliavin calculus, infinite dimensional processes, functional central limit theorems, Feynman-Kac formula, Feynman integral.

随机分析：高级课程，包括：半鞅理论，随机积分，齐次混沌展开，随机差分方程， Malliavin 微积分，，有限维过程，泛函中心极限理论， Feynman-Kac公式， Feynman积分，过滤理论的应用，无限粒子系统，量子力学，神经学中的随机模型。

A convergence of the section sum in stochastic sequence under finite state is produced with the help of same distribute and comparative function of stochastic sequenct.

利用随机序列的同分布性及比较函数，导出了有限状态随机序列部分和的一个收敛性质。

The weather and climate comply with the fluid dynamical equation and appear stochastic. In order to explore the relationship between weather and climate, the fractional derivative and integration are introduced. Physically, the stochastic degrees of weather and climate are different.

天气和气候虽然遵从流体力学规律，但是却显示出随机性，研究天气和气候之间的关系必须引入分数阶的导数和积分，从物理上讲不外乎说明天气和气候的随机程度是不相同的。

SPNAnalyzer software system has a very friendly man-machine interaction interface, so the visualized modeling of stochastic Petri net is very intuitional and convenient. The response and handling of the Windows messages is extended to the graph tool module, so it is very easy to maintain. The class design of the element object module and the graph tool module guarantees the expansibility of the system. The crucial technologies including the reachability set algorithm of the stochastic Petri net model, the constitution of the homogeneous Markov chain, and the computation of the steady state probability are implemented. The design of the data structure adopts the linked list, so the execution of the algorithms is very efficient.

SPNAnalyzer软件系统具有非常友好的人机交互界面，使可视化的随机Petri网建模变得非常直观方便；将各种Windows消息的响应和处理延伸至图形工具模块，使系统的维护变得容易；元素对象模块和图形工具模块的类的设计使系统的可扩展性很好；实现了随机Petri网模型的可达集生成算法和同构马尔可夫链的构造及其稳定状态概率的求解等关键技术；数据结构的设计采用链表的形式，使各种算法都具有较高的执行效率。

The computation of the infinitesimal generator matrix of the stochastic marking process underlying the First order FSPN model is described, which accounts for the transition rates among discrete tangible states. After that the transient state and steady state equations for the probability density functions describe the stochastic marking process are presented.

在说明了一阶流体随机 Petri 网随机标识过程在离散实存状态空间的转移速率矩阵等的计算方法后，给出了描述随机标识过程状态的概率密度函数在暂态和稳态情况下满足的方程。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。