一致收敛的

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。

Two-dimensional Bernstein type operators on simplex are constructed, and a necessary and sufficient condition of uniform approximation by mem is obtained, at the same time, the degree of approximation is characterized by two-order moduli of smoothness.

并且构造出单纯形上推广的二元Bernstein型算子，给出其一致收敛的一个充要条件，同时用二阶连续模刻划了它们的逼近度性质。

This paper is aimed at functions, function and a series of parameter improper integral uniform convergence of discriminate method to make a brief summary.

本文主要是针对函数列、函数项级数以及含参量反常积分的一致收敛的判别方法作出一个简单的总结。

The first part is mainly expounds some basic concepts, including the concept of parameter improper integral, the various concepts and the uniform convergence in the concept of need.

第一部分主要是阐述一些基本概念，这里包括含参量反常积分的概念、一致收敛的多种概念以及文章中需要的概念。

This includes function of uniform convergence, function series and the uniform convergence of parameter improper integral. We uniform convergence.

这包括函数列的一致收敛，函数项级数的一致收敛以及含参量反常积分的一致收敛。

This includes function of uniform. convergence, function series and the uniform. convergence of parameter improper integral. We uniform.

这包括函数列的一致收敛，函数项级数的一致收敛以及含参量反常积分的一致收敛。

The third part is the criterion of uniform convergence, commonly used methods.

第三部分就是本文的正题，判别一致收敛的常用方法。

In this paper a decision method of uniform convergence for function sequence is given, and a few of properties for the uniformly convergent function-sequence are obtained by this method, which is used in the construction of a new uniformly convergent function-sequence by others known.

给出了一个定理用于判定函数列的一致收敛，通过此判定定理，又得出了由一致收敛函数列构造新的一致收敛函数列的几个性质。

By using the definition of equidiffrential,a sufficient condition of commutating order in connection with the limit and derivation of a sequence of diffrential function is obtained.

利用等度可导的概念代替较强的函数列的导函数是一致收敛的条件，得到了极限运算与求导运算可以交换的一个充分条件。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。