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分形维数计算结果的可靠性
引用本文:张军.分形维数计算结果的可靠性[J].地球物理学进展,1995,10(3):106-117.
作者姓名:张军
作者单位:安徽省地震局
摘    要:本文以大量分形维数计算结果的实例为基础,着重讨论了影响分维值可靠性的因素,特别指出对于未知动力学系统的自然界中的分形,很难获得真正的分形维数,若研究统计分形维数的变化特征,在采取了某些措施之后,其分维值可比,可用。

关 键 词:分形维数  可靠性  计算结果

RELIABILITY OF CALCULATED VALUES OF FRACTAL DIMENSIONS
Zhen Zhaobi, Zhang Jun.RELIABILITY OF CALCULATED VALUES OF FRACTAL DIMENSIONS[J].Progress in Geophysics,1995,10(3):106-117.
Authors:Zhen Zhaobi  Zhang Jun
Abstract:In the paper influence elements on reliability of calculated values of fractal dimensions are discussed based on the many calculating examples. In particular we point out it is difficult to obtain real fractal dimensions for natural fractals with unknown dynamic system. When we study variation characters of dimensions of statistical fractal, some calculated values are applicable and comparable, but it is necessary to adopting some effective approachs.
Keywords:fractal dimensions  reliability  
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