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Approximate resolutions and box-counting dimension

open access: yesApproximate resolutions and box-counting dimension
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FRACTAL DIMENSION OF PRODUCT OF CONTINUOUS FUNCTIONS WITH BOX DIMENSION

Fractals, 2023
This paper investigates fractal dimension of product of continuous functions with Box dimension on [Formula: see text]. For two continuous functions with different Box dimensions, the Box dimension of their product has been proved to be the larger one. Furthermore, the Box dimension of product of two continuous functions with the same Box dimension may
Liu, Peizhi, Du, Yumeng, Liang, Yongshun
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Learning boxes in high dimension

Algorithmica, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beimel, A., Kushilevitz, E.
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BOX DIMENSIONS OF α-FRACTAL FUNCTIONS

Fractals, 2016
The box dimension of the graph of non-affine, continuous, nowhere differentiable function [Formula: see text] which is a fractal analogue of a continuous function [Formula: see text] corresponding to a certain iterated function system (IFS), is investigated in the present paper.
Akhtar, Md. Nasim   +2 more
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Box Dimension Type Models

2019
The main goal of this chapter is to generalize the classical box dimension in the broader context of fractal structures. We state that whether the so-called natural fractal structure (which any Euclidean subset can be always endowed with) is selected, then the box dimension remains as a particular case of the generalized fractal dimension models.
Manuel Fernández-Martínez   +3 more
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Box-counting dimensions of popcorn subsets

Journal of Mathematical Analysis and Applications, 2023
Let \(S\) be a subset of \(\mathbb N\).
Du, Yali, Wei, Chun, Wen, Shengyou
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