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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 Renyi entropy spectrums based on moment order parameter and different spatial scales of measurement. Note: From the bottom to the top, the linear size of functional boxes are r = 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, 1/128, and 1/256, respectively. Different linear sizes of the boxes represent different spatial scales of measurements, and different Renyi entropy spectral lines based on different box sizes reflect the scale-dependence of spatial entropy. (a) 1984; (b) 1994; (c) 2006; and (d) 2015.

The Renyi entropy spectrums based on moment order parameter and different spatial scales of measurement. Note: From the bottom to the top, the linear size of functional boxes are r = 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, 1/128, and 1/256, respectively. Different linear sizes of the boxes represent different spatial scales of measurements, and different Renyi entropy spectral lines based on different box sizes reflect the scale-dependence of spatial entropy. (a) 1984; (b) 1994; (c) 2006; and (d) 2015.