查询词典 iterated integral

Algorithm for determining the lower limit of the iterated times in IFSP;2. Stratigraphical division and lower limit of the Quaternary in Hunan;3. At present, the approximate solution of Voigt and Reuss's upper limit or lower limit and the calculating formula of Hashin and Shtrikman's upper limit or lower limit are accurate.

计算复合材料有效弹性模量上、下限的方法中，Voigt和Reuss的上、下限近似解及Hashin和Shtrikman的上、下限计算公式较为精确，但Voigt-Reuss近似解通常忽略了各向异性非均匀体的研究，是一个不全面的结果。

This dissertation consists of five chapters, in which we discuss the complete convergence and the iterated logarithm under dependent random variables.

本文分为五章，讨论了在相依变量的情形下的完全收敛性和重对数律。

In chapter 1,by the general methods of summability methods,we establish Chover-type law of the iterated logarithm for Abel's weighted sumsand certain power series weighted sums of stable random variables.

第一章利用可和方式的典型方法，讨论了稳定随变量序列的Abel加权和及较广泛的幂级数加权和的Chover型重对数律。

In this paper,the law of iterated logarithm for product sums of positive as- sociated sequences with the strong stability and the strong law of large numbers for product sums of positive associated sequences with different distributions are proved.

证明了强平稳正相协列乘积和的重对数律与不同分布正相协列乘积和的强大数律，指出了部分和服从强大数律但乘积和未必服从强大数律这一事实，并讨论了定理2中一个条件的必要性。

Classical limit theory includes the central limit theory, the law of large numbers, and the law of iterated logarithm etc.

经典的极限理论包括中心极限定理，大数律，重对数律等等，相对于收敛性来讲，就是依分布收敛，依概率收敛，和几乎必然收敛等等。

Based on the results of the iterated logarithm law and the uniform modulus of continuity for Brownian motion, Orey and Taylor(1972) discussed the multifractal decomposition of one dimension white noise.

但有关多维白噪音的重分形分解问题，即多指标Wiener过程样本轨道的重分形分析性质至今仍未见有讨论，本文旨在讨论多指标Wiener过程样本轨道的重分形分析性质。

For example, Burton and Dehling (1990) have obtained a large deviation principle for the linear processes, Yang (1996) has established CLT and the law of the iterated logarithm, Li et al.

其实，关于相依随机变量的极限性质的研究可以追溯到二十世纪二、三十年代，当时就有Bernstein(1927)、Hopf(1937)和Robbins(1948)等学者相继对其进行研究。

For general point process model,we pose the mild condition under whichthe maximum likelihood estimateof the parameter possesses the strongconsistency and the convergence rate of iterated logarithm type.

首先对一般的点过程模型我们研究了随着观测时间的增加，参数极大似然估计的渐进性质。我们提出了相当广泛又便于验证的一组条件，足以保证极大似然估计具有强相合性及重对数型收敛速度。

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。

Given some probability exponential inequalities of maximal partial sums for sequences of NQD random variables, some Laws of Logarithm and Laws of the Iterated Logarithm for Nonidentity Pairwise NQD Sequences are obtained.

通过建立两两NQD随机变量列最大部分和的概率Levy型指数不等式，给出两两NQD列的Petrov型对数律与重对数律，文献中相应结果成为其特殊情形，并得到加强。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。