Measurable set

The concept of double conditional expectation for B-valued random variable and measurable set Γ is introduced . We investigate the properties of the related double conditional expectation and obtained several important inequalities . Furthermore the convergence theorems with respect to double conditional expectation are proved .

引进了B值随机变量及可测集Γ的双条件期望的概念，研究了双条件期望的主要性质，得到了双条件期望下的几个重要不等式，进而证明了双条件期望的有关收敛定理。

There are two kinds of definition of the measurable set in Real Variable Function .

在实变函数中，可测集的定义有两种。

Approach of structure of the non Lebesgue measurable set

Lebesgue不可测集构造法

The Structure of Measurable Set

可测集合的结构

Several Properties on Jordan Measurable Set

可求积集的若干性质

Several properties of Jordan measurable set are issued and an important conclusion on the partition of Jordan measurable set is generalized .

研究可求积集与可求积集的分割，给出了一组性质，推广了关于分割的一个重要结论。

On finite measurable set , convergence in measure of the measurable function sequence can be multiplicated and divided under appropriate condition .

有限测度集上，可测函数列依测度收敛乘除在一定条件下恒成立。

In Chapter 2 , we study the geometric properties of tangent measures and the flatness properties of a measure , and give out an existence theorem of a micro tangent set of a measurable set by using the " blow-up " technique and the idea of duality theory .

第二章讨论切测度的几何特征及测度与切测度的平坦性特征。利用blow-up技巧和对偶性原理，我们证明了切集的存在性定理。

In L2 ( R2 ), the measurable transversal set is defined and its properties are classified .

中可测横截集被定义，它的性质被刻画，与之相联系一个标准正交基也被导出。

The Measurable Selection of Set - Valued Markov Processes

集值马氏过程的可测选择

Relationship of Continuous function and Measurable function in measurable set

可测集合上连续函数与可测函数的相关性

To ensure the quality of the services provided , measurable performance standards are set in the contracts .

为确保承办商提供服务的质素符合标准，本署批出的合约订明可量度的服务表现标准。

Based on the mass properties of each component of a flapping vehicle are generally measurable and constant we set up the corresponding equations of motion for flapping flight .

基于各部件质量的可测性且为常数的特点建立相应的扑翼运动方程。

The condition of multiplicating and dividing the convergence in measure of the measurable function sequence on infinite measurable set

可测函数列在无限测度集上依测度收敛乘除成立的条件

Lebesgue measure is introduced in knowledge base , knowledge measure and knowledge measurable sets are defined . In contrast to Lebesgue measure , the properties of knowledge measure are studied , and some more powerful properties are achieved , such as Borel set is equal to knowledge measurable set .

在知识库中引入勒贝格测度，定义了知识测度和知识可测，对比勒贝格测度研究了知识测度的性质，并得出了波雷耳集与知识可测集等价等强于勒贝格测度的性质。