1) product measurable set

积可测集
2) Jordan measurable set

可求积集
1.
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。
3) measurable set

可测集
1.
The approximation from the complete and nowhere dense set to the measurable set;

关于可测集用疏朗完备集逼近问题
2.
This paper gives some equivalent definitions for linear limited set of points E being measurable set and proves the equivalent relation,then gives the structure of measurable set.
首先通过一维有界点集E为可测集的几个等价定义及其有界点集E为可测集的一组充要条件给出了可测集的结构,然后对有界点集E为可测集的几个等价定义及一组充要条件给出了具体的证明。
3.
It gives an equivalent description of convergence in measure about the subsequence,the counter example and a sufficient condition about the proposition that the sequence convergent in measure on countable measurable sets may not converge in measure on their union set,three theorems of convergence in measure about the limit of integral sequence.
主要研究函数序列测度收敛的性质,包括测度收敛的等价子列刻画;在可列个可测集上均测度收敛的序列在并集上未必测度收敛的反例以及使其成立的一个充分条件;测度收敛意义下积分序列极限的三大定理等。
4) non-measurable set

不可测集
1.
A note about two dimension non-measurable set;

二维不可测集的一个注记
2.
A Lebesgue non-measurable set with characteristic function that is somewhat similar to Dirchlet function is given,according to the properties of the essentialization theorem on Lebesgue measurable function.
利用勒贝格可测函数的本性化定理的性质,给出一个特征函数与狄里克莱函数有些相仿的勒贝格不可测集。
5) Lebesgue measurability set L

L可测集
6) Lebesgue Measurable Set

Lebesgue可测集
补充资料:积集
1.积聚汇集。
说明:补充资料仅用于学习参考,请勿用于其它任何用途。
参考词条