Results 21 to 30 of about 135,666 (260)

Some Dimensional Results of a Class of Homogeneous Moran Sets

Journal of Mathematics, 2021
In this paper, we construct a class of special homogeneous Moran sets: mk-quasi-homogeneous perfect sets, and obtain the Hausdorff dimension of the sets under some conditions.
Jingru Zhang, Yanzhe Li, Manli Lou
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Fast stabbing of boxes in high dimensions [PDF]

Theoretical Computer Science, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Persistent Homology and the Upper Box Dimension [PDF]

Discrete & Computational Geometry, 2019
39 pages, 8 ...
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Bilinear fractal interpolation and box dimension

Journal of Approximation Theory, 2015
In the context of general iterated function systems (IFSs), we introduce bilinear fractal interpolants as the fixed points of certain Read-Bajraktarević operators. By exhibiting a generalized "taxi-cab" metric, we show that the graph of a bilinear fractal interpolant is the attractor of an underlying contractive bilinear IFS.
Barnsley, Michael F., Massopust, Peter R.   +1 more
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Experimental Study of the Multiple Fractalisation of Coal and Rock Failure Subjected to the Coupled Effects of Water, Temperature and Dynamic Loads

Applied Sciences, 2023
The mechanical properties of water-rich coal and rock in a subzero environment are very different from those at room temperature, which causes many unexpected hazards for projects.
Tingxu Jin, Xiaoyuan Sun, Kai Liu, Shurong Lin, Shaoqiang Yang, Jianlin Xie   +5 more
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Coastline Fractal Dimension of Mainland, Island, and Estuaries Using Multi-temporal Landsat Remote Sensing Data from 1978 to 2018: A Case Study of the Pearl River Estuary Area

Remote Sensing, 2020
The Pearl River Estuary Area was selected for this study. For the past 40 years, it has been one of the most complex coasts in China, yet few studies have analyzed the complexity and variations of the area’s different coastlines.
Xinyi Hu, Yunpeng Wang
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Research on Influencing Factors of Box Dimension by Simulating Grain Storage Accumulation

Liang you shipin ke-ji, 2022
In order to study the influencing factors of grain pile permeability, the influencing factors of fractal dimension closely related to permeability were explored based on fractal theory.
CHEN Xiao-yu, LU Xin
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Fractal Analysis of Overlapping Box Covering Algorithm for Complex Networks

IEEE Access, 2020
Due to extensive research on complex networks, fractal analysis with scale invariance is applied to measure the topological structure and self-similarity of complex networks. Fractal dimension can be used to quantify the fractal properties of the complex
Wei Zheng, Qianjing You, Fangli Liu, Fengyu Yang, Xin Fan   +4 more
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Assouad dimension influences the box and packing dimensions of orthogonal projections [PDF]

Journal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2021
We present several applications of the Assouad dimension, and the related quasi-Assouad dimension and Assouad spectrum, to the box and packing dimensions of orthogonal projections of sets. For example, we show that if the (quasi-)Assouad dimension of F \subseteq\mathbb{R}^n
K. J. Falconer, Jonathan M. Fraser, Pablo Shmerkin   +2 more
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Some typical properties of dimensions of sets and measures

Abstract and Applied Analysis, 2005
This paper contains a review of recent results concerning typical properties of dimensions of sets and dimensions of measures. In particular, we are interested in the Hausdorff dimension, box dimension, and packing dimension of sets and in the Hausdorff ...
Józef Myjak
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