维度函数
分形维数
维数(图论)
箱式计数
Minkowski–Boul尺寸
数学
有效尺寸
网络的分形维数
产品(数学)
分形
填料尺寸
关联维数
多重分形系统
复杂尺寸
豪斯多夫维数
数学分析
分形分析
纯数学
几何学
作者
PEIZHI LIU,YUMENG DU,YONGSHUN LIANG
出处
期刊:Fractals
[World Scientific]
日期:2023-03-08
标识
DOI:10.1142/s0218348x23500214
摘要
This paper investigates fractal dimension of product of continuous functions with Box dimension on [Formula: see text]. For two continuous functions with different Box dimensions, the Box dimension of their product has been proved to be the larger one. Furthermore, the Box dimension of product of two continuous functions with the same Box dimension may not exist. Definitions of regular fractal and local fractal functions have been given. Product of a regular fractal function and a local fractal function with the same Box dimension must still be the original Box dimension.
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