测度空间

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。

Secondly,at satisfying certain conditions, we obtain some convergence theorem,which is similar with the classical Lebesgue integral.

最后，在模糊测度空间上针对这种积分讨论了T—模糊值积分方程，获得一些重要结果。

Ube a finite internal finitely additive measure space.

μ是内有限可加测度空间。

By studying measure theory, the students are asked to understand σ-algebras, measure, measurable functions, integral, the measure theory of product spaces, Fubini theorem, and the representation theory of Boolean algebras.

通过本课程学习，使学生掌握σ-代数、测度、可测函数、积分，初步掌握乘积测度空间的构造及Fubini定理，以及布尔代数的表示理论。

In the third chapter,two different methods which construct the Loeb measure are researched,and their consistency is proved.Next some basic natures of Loeb measurable function and Loeb integration have been discussed.

在第三章中，我们主要研究由确界法和内逼近法这两种不同的方法构造Loeb测度空间，并证明了它们的一致性，然后讨论了Loeb可测函数和Loeb积分的一些基本性质。

The relations among three kinds of structural characteristics of fuzzy measure:(1) pseudometric generating property;(2) pseudometric generating property of type p;(3) null-null additivity,and the convergence for sequence of measurable function on semi-continuous fuzzy measure space are discussed.

李军讨论了下半连续模糊测度的3种结构特性：(1)伪距离生成性质；(2)p类型伪距离生成性质；(3)零-零可加性与半连续模糊测度空间上可测函数序列的收敛性之间的关系。

These constructions have been shown to produce objects with the desired properties with probability 1 in an appropriately defined measure space.

这些建筑已显示出物体的产生所期望的性能与概率1在一个适当的定义测度空间。

Comparing to the deterministic case, the base space of RDS is one probability space without any topology, which is one of the essential difficulties from the deterministic case to random case. We conquer the difficulty in this paper.

随机动力系统和确定性动力系统相比，它的底空间是一个没有任何拓扑结构的概率测度空间，这一点恰是从确定性系统到随机动力系统的一个本质困难之一，无论是对有限维的情形还是对无穷维的情形。

Each kind of theory and technology about health safeguard can be integrated into a grading describable system. The 5 kinds basic space, which is derived sequentially from topological space, regular space, metric space, measured space and continuous space, are the mathematical base to structure the method of health safeguard.

从泛函分析的角度全面总结了各种健康保障理论与技术，将其统一到一个递级的描述系统中，由拓扑空间、规则空间、度量空间、测度空间和连续空间逐步继承而来的5类基本空间是构造健康保障方法的数学基础。

We research fuzzy complex measure and the relation on convergence of measurable functions sequence on fuzzy complex measure space.

研究模糊复测度及模糊复测度空间上可测函数列几种收敛性之间的关系。

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。