Results 21 to 30 of about 153,301 (238)
Fractal Dimension of Digital 3D Rock Models with Different Pore Structures
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
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]
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
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
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
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
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 On account of the complexity of the fractal set, the traditional Euclidean dimension is no longer applicable and the ...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]
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
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]
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

