| 具有严格上维数测度的定义及等价定义 |
| |
| 引用本文： | 丁华,刘正慈. 具有严格上维数测度的定义及等价定义[J]. 科学技术与工程, 2008, 8(4): 869-872 |
| |
| 作者姓名： | 丁华 刘正慈 |
| |
| 作者单位： | 扬州教育学院数学系,扬州,225000;江苏大学理学院,镇江,212013 |
| |
| 摘 要： | 分形中严格上维数是与填充维数相关的一个概念,可以从不同的角度用三种方式来定义测度具有严格上维数,它们之间都是相互等价的.另一方面,测度具有严格上维数,一定具有相同的点维数,但反之不然.
|
| 关 键 词： | 测度 严格上维数 等价定义 点维数 |
| 收稿时间： | 2007-10-29 |
| 修稿时间： | 2007-10-29 |
On the Definition and Equivalent Definitions of a Measure with Exact Upper Dimension |
| |
| DING Hu,LIU Zheng-ci. On the Definition and Equivalent Definitions of a Measure with Exact Upper Dimension[J]. Science Technology and Engineering, 2008, 8(4): 869-872 |
| |
| Authors: | DING Hu LIU Zheng-ci |
| |
| Abstract: | Exact upper dimension is an associated definition of packing dimension, three definitions of measure with exact upper dimension from different approaches are given. Then it is proved that they are equivalent. On the other hand, It is attained that any measure with exact upper dimension is a measure with point dimension. But it is not the case for the converse. |
| |
| Keywords: | measure exact upper dimension equivalent definition point dimension |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《科学技术与工程》浏览原始摘要信息 |
|
点击此处可从《科学技术与工程》下载全文 |
|
