分形维数
网络的分形维数
维数(图论)
数学
分形
纯数学
分形分析
数学分析
出处
期刊:Oxford University Press eBooks
[Oxford University Press]
日期:2013-09-01
卷期号:: 35-60
标识
DOI:10.1093/actrade/9780199675982.003.0003
摘要
‘Fractal dimension’ shows how fractals are measured as we examine them ever more closely. Traditional geometric methods in three dimensions are inadequate for measuring fractals, so a fractal dimension is needed. The box-counting method gives an approximation of the fractal dimension, which can then be found more exactly using logarithms. Self-similarity is also evident when measuring fractal dimensions. Whilst mathematical fractals can be scaled infinitely, real world fractals have a range of fractality outside of which their fractal properties are lost. Whilst fractal dimensions give useful information about the character of fractals, other topographical information cannot be conveyed in this way.
科研通智能强力驱动
Strongly Powered by AbleSci AI