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几乎必然

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First, we present various new convergence concepts for sequence of fuzzy random variables, including convergence sure, convergence almost sure, uniform convergence, uniform convergence almost sure, almost uniform convergence, convergence in chance measure, and their corresponding weak convergence. Second, the relations among some types of convergence are studied. Finally, we design some algorithms about fuzzy random simulations to compute the mean chance of fuzzy random event, find the optimistic value of a return function, and evaluate the expected value of a fuzzy random variable.

首先,提出了几类模糊随机变量序列的收敛性概念,包括:必然收敛、几乎必然收敛、一致收敛、几乎必然一致收敛、近一致收敛、依机会测度收敛以及与以上概念相对应的弱收敛;其次,讨论了收敛性之间的关系;最后我们设计了模糊随机模拟算法,用于计算模糊随机事件的平均机会,寻找收益函数的乐观值,以及估计模糊随机变量的期望值。

First, we present various new convergence concepts for sequence of fuzzy random variables, including convergence sure, convergence almost sure, uniform convergence, uniform convergence almost sure, almost uniform convergence, convergence in chance measure, and their corresponding weak convergence.

首先,提出了几类模糊随机变量序列的收敛性概念,包括:必然收敛、几乎必然收敛、一致收敛、几乎必然一致收敛、近一致收敛、依机会测度收敛以及与以上概念相对应的弱收敛;其次,讨论了收敛性之间的关系;最后我们设计了模糊随机模拟算法,用于计算模糊随机事件的平均机会,寻找收益函数的乐观值,以及估计模糊随机变量的期望值。

For certain random Dirichlet series in the right half plane, we prove that almost surely every point on the imaginary axis is Borel point with no exceptional small functions.

研究了涉及小函数的随机Dirichlet级数,证明了对于右半平面上的随机Dirichlet级数,它几乎必然以虚轴上每一点为其没有例外小函数的Borel点; 3。

In chapter 2, we studied the type of two kinds of general random Dirichlet series, and obtained the type in whole plane of these two kinds of random Dirichlet series is almost surely equal to the in whole plane of the corresponding Dirichlet series, as well as the type in horizontal line and in horizontal zone is almost surely equal to the type of the corresponding Dirichlet series in whole plane respectively.

几乎必然等于相应的Dirichlet级数在全平面上的型,以及在水平直线上和水平带形上的型也a.s。等于相应的Dirichlet级数在全平面上的型。

This paper proves that the random Dirichlet series of infinite order do not have almost surely arbitrary finite order deficient function on the right-half plane.

证明了右半平面上无限级随机Dirichlet级数几乎必然无任意有限级的亏函数。

He alone has admitted his deeds and will almost certainly point the finger to implicate others, says Alex Hinton, of Rutgers University's Centre for the Study of Genocide and Human Rights.

罗格斯大学人权及灭族研究中心的亚历克斯亨顿说:"他自己已经认罪,而且他几乎必然会指证其他的牵连人。"

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。

Some algebraic criterion of almost sure exponential stability are obtained when the disturbance term of the network satisfies the Lipschitz condition.

当细胞神经网络模型的抚动项满足Lipschitz条件时,得到一些几乎必然指数稳定的代数准则。

You will almost surely have to renege on some of these promises.

你却几乎必然将违背你的一些诺言。

In Chapter 3 Firstly, the exponential stability in mean square and almost sure exponential stability for neutral stochstic neural networks with time-varying delay can be discussed by using the linear matrix inequality and the semimartingale convergence theorem; And our sufficient conditions are less conserative; Secondly, by utilizing the fixed point theorem, some sufficient and necessary conditions ensuring the asymp- totic stability in mean square for neutral stochastic neural networks with time-varying delays can be given.

第三章首先,利用线性矩阵不等式方法和半鞅收敛定理,考虑了一类具变时滞中立型随机神经网络的二阶矩指数稳定性和几乎必然指数稳定性,所得到的条件保守性要好;其次,采用不动点方法,给出了具变时滞中立型随机神经网络的二阶矩渐近稳定性的充要条件。

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