带外扰的不连续系统关于部分变元的实用稳定性

研究不连续系统在外扰作用下,部分变元的实用稳定性问题,给出了主要的判别准则,这些准则对于全部变元亦适用,因而有关全部变元的结果为本文的特别。     

非均匀Cantor型集的Hausdorff维数和测度

计算了非均匀Ｃａｎｔｏｒ型集的Ｈａｕｓｄｏｒｆｆ维数，并给出了其Ｈａｕｓｄｏｒｆｆ测度的上界。     

函数Lebesgue可积的一个Riemann和判别准则

使用 Riemann 和给出了实变函数 Lebesgue 可积的判别准则。     

基于熵理论的上市公司信息披露质量测度

上市公司信息披露质量的测度关系到资本市场稳定、健康发展。通过建立二层结构的信息披露质量测度指标体系，应用熵理论构建了信息披露质量测度模型，提高了信息质量测度结果的客观性和有效性，并得到实证结果的支持。     

正四面体生成的一般Sierpinski块的Hausdorff维数与Hausdorff测度的估计

该文引入正四面体生成的一般Sierpinski块Er(0＜r≤0.5)的概念及其构造.通过求出Er计盒维数得到其Hausdorff维数,并得到了它们的Hausdorff测度的较好估计,其主要结果改进了现有文献的相关结果.     

非线性K—集压缩映象的定量刻划—R（T）数

引进了反映非线性Ｋ－集压缩映象的压缩特性的定量刻划－Ｋ（Ｔ）和Ｒ（Ｙ）数。研究表明：Ｒ（Ｙ）数与空间的等价范数无关，它仅由Ｔ本身的性质所决定。     

The convergence of statistically self-similar sets and the upper bound and lower bound of Hausdorff measure

We constructed a class of self-similar sets and proved the convergence in this paper. Besides these, the upper bound and lower bound of Hausdorff measures of them were given too. Supported by the National Natural Science Fundation and the Doctral Programme Fundation of China Hu Dihe: born in May 1935, Professor     

测度空间的等价扩张

引入测度空间的强、弱等价扩张的概念，并讨论了它们的性质．由此，在某种意义下推广了工作［2］的结果．     

The structure and the sufficint and necessary conditions for generalized statistically self-similar sets

We constructed a class of generalized statistically self-similar sets and give the necessary and sufficent conditions to ensure a random recursive set being a generalized statistically self-similar set. The statistically self-similar sets defined by Hutchinson, Falconer, Graf are the special cases of ours. Foundation item: Supported by the National Natural Science Foundation of China Biography: DENG Ai-jiao (1974-), female, Ph.D. candidate, research interes: is in stochastic process and random ractal     

The fractal structures of the sample path of a general subordinator and the random re-orderings of the Cantor set

In this paper we have found a general subordinator,X, whose range up to time 1,X([0, 1)), has similar structure as random re-orderings of the Cantor setK(ω).X([0, 1)) andK(ω) have the same exact Hausdorff measure function and the integal test of packing measure. Supported by the National Natural Science Foundation, the Excellent Young Faculty Foundation of the State Education Commission of China and the Foundation for the Scholars Coming Back from Abroad Hu Xiaoyu: born in Apr. 1964, Professor