Fractal Dimension
المؤلف:
Rasband, S. N.
المصدر:
"Fractal Dimension." Ch. 4 in Chaotic Dynamics of Nonlinear Systems. New York: Wiley
الجزء والصفحة:
pp. 71-83
18-9-2021
1432
Fractal Dimension
The term "fractal dimension" is sometimes used to refer to what is more commonly called the capacity dimension of a fractal (which is, roughly speaking, the exponent 
in the expression 
, where 
is the minimum number of open sets of diameter 
needed to cover the set). However, it can more generally refer to any of the dimensions commonly used to characterize fractals (e.g., capacity dimension, correlation dimension, information dimension, Lyapunov dimension, Minkowski-Bouligand dimension).
REFERENCES:
Rasband, S. N. "Fractal Dimension." Ch. 4 in Chaotic Dynamics of Nonlinear Systems. New York: Wiley, pp. 71-83, 1990.
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