查询词典 convergence in measure

Similarly, we discuss the relation between fundamental convergence in fuzzy measure and fuzzy mean fundamental convergence of fuzzy integrals.

类似地，还讨论了"依测度基本"与"广义模糊积分平均基本"的关系。

First, the partial derivative is defined, based on the convergence in probability measure in the probability measure space.

本文首先在概率测度空间上，利用依概率测度收敛，定义了多随机变量函数的偏导数，并且偏导数的计算式可以通过替换实值函数的对应的偏导数中所有的实变量替换为随机变量得到。

In chapter 3, we study the relation between convergence in fuzzy measure of nonnegative fuzzy measurable functions and fuzzy mean convergence of fuzzy integrals.

研究了非负模糊可测函数列依测度收敛与广义模糊积分平均收敛之间的关系。

On the other hand, we also give several terse sufficiency conditions where the fuzzy mean convergence of fuzzy integrals implies the convergence in fuzzy measure and making them equivalent.

另一方面，文中还给出了广义模糊积分平均收敛蕴涵依测度收敛的几个简洁的充分性条件，以及使两者等价的条件。

Furthermore, as its corollary, we still get several terse and pragmatic sufficiency conditions where the convergence in fuzzy measure implies the fuzzy mean convergence of fuzzy integrals.

作为这一结果的推论，还得到了依测度收敛蕴涵广义模糊积分平均收敛的几个简洁、实用的充分性条件。

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。

Properties of measurable functions; approximation by simple functions and by continuous functions; convergence in measure; Egoroff's theorem; Lusin's theorem; Jensen's inequality.

可测函数。可测函数的性质；简单和连续函数逼近；测度收敛；叶果洛夫定理；鲁津定理；詹森不等式

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。

In order to measure scattering rate and judge optical properties of a laser mirror film,a setup with a photoelectric systen and a spherical mirror as a convergence element is developed.It is used to measure the film scattering in a relative measure method.

为了测量激光反射镜薄膜的散射率，评定激光反射镜薄膜的光学性能，研制一种以球面反射镜为聚光元件和利用光电接收转换系统通过相对测量方法测量薄膜散射的装置。

In this paper,fuzzy complex numbers,limits of the sequence of fuzzy complex numbers,the metrical convergence and levelwise convergence,the continuity offuzzy complex functions,the calculus of fuzzy complex functions,theseries whose terms are fuzzy complex numbers,the series whose terms arefuzzy complex functions,the fuzzy complex measure and fuzzy differentialequation are investigated in details.All this may be a foundation forfurther researching fuzzy complex analysis.

本文对模糊复数、模糊复数列的极限、度量收敛与水平收敛、模糊复函数的连续性、模糊复函数的微积分、模糊复数项级数、模糊复函数项级数、模糊复测度及模糊微分方程理论进行了详细的研究，为模糊复分析的进一步研究打下一定基础。

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。