零测度

依零测度的Fuzzy集运算

Operation of Fuzzy Set Depended on Zero Measure Sets

可测函数与零测度集

Measurable Function and Zero Measure Set

C上不能引其外向测地法线的点组成C上的零测度集合3.C上几乎处处存在内侧的测地曲率。

The set of all the points on C has no exterior geodesic normal and no set of measure of zero can be formed on C. 3 . There nearly exists everywhere on C the inner side geodesic curvature .

我们考虑一致完全度量空间中在加倍测度意义的零测度集和正测度的集合，这些集合分别称为胖集和瘦集。

We consider sets in uniformly perfect metric spaces which are null for every doubling measure of the space or which have positive measure for all doubling measures . These sets are called thin or fat , respectively .

在非零有穷测度的条件下，近似空间中的一个广义粗集，是其扩展的测度空间中的不可测集。

Under the condition of non zero and finite measure , a generalized rough set is a nonmeasurable set in its extended measure space .

以法国数学家波莱尔的有关工作为核心，重点考察了他提出零测集的思想背景，提出零测集渐近测度和稀疏度的思想演变过程、思想方法及影响。

It carefully investigates thought background of proposing zero measure set , thought process of proposing asymptotic measure and rarefaction of proposing zero measure set , and influences on M.