Results 21 to 30 of about 153,301 (238)

Fractal Dimension of Digital 3D Rock Models with Different Pore Structures

open access: yesEnergies, 2022
The macroscopic physical properties of rocks are profoundly determined by their microstructure, and the research of accurately characterizing rock pore structure has been extensively carried out in the fields of petroleum engineering and geoscience ...
Xiaobin Li   +3 more
doaj   +1 more source

Study on rolling bearing fault diagnosis approach based on improved generalized fractal box-counting dimension and adaptive gray relation algorithm

open access: yesAdvances in Mechanical Engineering, 2016
Aiming at the nonlinear and nonstationary characteristics of bearing vibration signals as well as the complexity of condition-indicating information distribution in the signals, a novel rolling element bearing fault diagnosis approach based on improved ...
Yunpeng Cao   +4 more
doaj   +1 more source

Sets which are not tube null and intersection properties of random measures [PDF]

open access: yes, 2014
We show that in $\mathbb{R}^d$ there are purely unrectifiable sets of Hausdorff (and even box counting) dimension $d-1$ which are not tube null, settling a question of Carbery, Soria and Vargas, and improving a number of results by the same authors and ...
Alberti   +15 more
core   +2 more sources

The linkage between box-counting and geomorphic fractal dimensions in the fractal structure of river networks: the junction angle

open access: yesHydrology Research, 2020
In the past, a great deal of research has been conducted to determine the fractal properties of river networks, and there are many kinds of methods calculating their fractal dimensions. In this paper, we compare two most common methods: one is geomorphic
Xianmeng Meng   +4 more
doaj   +1 more source

A Study of Fractality and Long-Range Order in the Distribution of Transposable Elements in Eukaryotic Genomes Using the Scaling Properties of Block Entropy and Box-Counting

open access: yesEntropy, 2014
Repeats or Transposable Elements (TEs) are highly repeated sequence stretches, present in virtually all eukaryotic genomes. We explore the distribution of representative TEs from all major classes in entire chromosomes across various organisms. We employ
Labrini Athanasopoulou   +2 more
doaj   +1 more source

Local box-counting dimensions of discrete quantum eigenvalue spectra: Analytical connection to quantum spectral statistics

open access: yes, 2017
Two decades ago, Wang and Ong [Phys. Rev. A 55, 1522 (1997)] hypothesized that the local box-counting dimension of a discrete quantum spectrum should depend exclusively on the nearest-neighbor spacing distribution (NNSD) of the spectrum.
Nieminen, John M., Sakhr, Jamal
core   +1 more source

Fractal Dimension Analysis of the Julia Sets of Controlled Brusselator Model

open access: yesDiscrete Dynamics in Nature and Society, 2016
Fractal theory is a branch of nonlinear scientific research, and its research object is the irregular geometric form in nature. On account of the complexity of the fractal set, the traditional Euclidean dimension is no longer applicable and the ...
Yuqian Deng   +2 more
doaj   +1 more source

An Improve Differential Box Counting Method to Estimate Fractal Dimension [PDF]

open access: yesEngineering and Technology Journal, 2015
The mathematical concept that used to measure the complexity of the fractal sets is known as fractal dimension. It is considered as a global feature for fractal images.
N.M.G. Alsaidi, W.J. Abdulaal
doaj   +1 more source

Spatio-Temporal Fractal Dimension Analysis from Resting State EEG Signals in Parkinson’s Disease

open access: yesEntropy, 2023
Complexity analysis of electroencephalogram (EEG) signals has emerged as a valuable tool for characterizing Parkinson’s disease (PD). Fractal dimension (FD) is a widely employed method for measuring the complexity of shapes with many applications in ...
Juan Ruiz de Miras   +9 more
doaj   +1 more source

Generalised Cantor sets and the dimension of products [PDF]

open access: yes, 2015
In this paper we consider the relationship between the Assouad and box-counting dimension and how both behave under the operation of taking products. We introduce the notion of ‘equi-homogeneity’ of a set, which requires a uniformity in the cardinality ...
Assouad   +9 more
core   +1 more source

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