Über diesen Artikel
Online veröffentlicht: 08. Sept. 2016
Seitenbereich: 437 - 472
Eingereicht: 12. Apr. 2016
Akzeptiert: 08. Sept. 2016
DOI: https://doi.org/10.21042/AMNS.2016.2.00037
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© 2016 M. Fernández-Martínez, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
The table above summarizes all the theoretical properties satisfied by each definition of fractal dimension explored throughout this paper_ We set 1 to denote that the corresponding property is satisfied by each fractal dimension and 0 otherwise (c_f_ [42])_
Theoretical properties | dimB | dimH | ||||||
---|---|---|---|---|---|---|---|---|
Monotonicity | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
Finite stability | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 |
Countable stability | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 |
Countable sets | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 1 |
Closure dimension | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 1 |