摘要
康托尔三分集是一类简单的分形集,其局部与整体彼此相似,本文主要对其进行了一些推广,得到了更一般的自相似集,并阐述了这类集合的若干性质.
The middle third Cantor set is a class of simple fractal set, which the local and the whole are similar to each other. In this paper, some generalizations are made, more general self-similar sets are obtained, and some properties of such sets are also described.
出处
《山西师范大学学报（自然科学版）》
2017年第3期23-25,共3页
Journal of Shanxi Normal University(Natural Science Edition)
基金
山西省大学生创新性实验项目(2017437)
长治学院教学研究项目(JY201602)
长治学院科研项目(201606)
关键词
自相似集
开集条件
维数
self-similar sets
open set condition
dimension
