摘要
本文依据分形信息论基本原理,给出函数分形的确切定义,考察分形函数的构造方法,导出函数分形示性数与函数分形维数的计算公式,讨论它们与经典维数之间的关系。
According to the principle of fractal information theory,the exact definition of fractal of function is given.Methods to construct fractal function and formulas to caculate the fractal index and fractal dimension of function are introduced. Relations befween fractal funcfion measurement and classical Hauseorff dimension are discussed.
出处
《华东师范大学学报(自然科学版)》
CAS
CSCD
1994年第2期33-46,共14页
Journal of East China Normal University(Natural Science)
关键词
函数分形
分形函数
度量
fractal of function fractal function fractal index of function fractal dimension of function