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. 2018 Dec 19;20(12):991. doi: 10.3390/e20120991

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© 2018 by the authors.

Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).

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The global multifractal spectrums based on moment order parameter and change curves of global dimensions. Note: Based on different linear sizes of functional boxes, i.e., r=1/2, 1/4, 1/8, 1/16, 1/32, 1/64, 1/128, and 1/256, and the corresponding Renyi entropy M_q(r) values, the generalized correlation dimension D_q can be evaluated. Multifractal parameter values depend on moment order q, but are independent of spatial scale r. (a) Global multifractal dimension spectrums; (b) Global fractal dimension changes.