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Approximation by the linear fractal interpolation functions with the same fractal dimension
A continuous function defined on a closed interval can be of unbounded variation with certain fractal dimension. Fractal interpolation functions are...
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Explicit relation between Fourier transform and fractal dimension of fractal interpolation functions
This paper provides an explicit representation for the Fourier transform of different kinds of fractal interpolation functions. The construction of...
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Constraining the fractal Chern–Simons modified gravity with astronomical observations and estimation of the fractal dimension of the universe
We study the late-time cosmological dynamics of the Friedmann-Robertson-Walker fractal universe based on power counting renormalizable field in...
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A novel fractal interpolation function algorithm for fractal dimension estimation and coastline geometry reconstruction: a case study of the coastline of Kingdom of Saudi Arabia
AbstractFractal dimension represents the geometric irregularity of an object with respect to the underlying space and is used for several...
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Comparative analysis of fractal dimension of CdS, CdZnS and CdZnS:Ce thin films
CdS, CdZnS, and CdZnS:Ce thin films are prepared by using the chemical bath deposition (CBD) technique. Thin films were prepared on glass substrates....
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Evolution of the fractal dimension of granular materials in fragmentation tests
One can simulate the fragmentation of the grains in the road sector through various tests such as Los Angeles, Micro-Deval, fragmentability and...
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Fractal analysis of the mandible cortical bone: correlation among fractal dimension values obtained by two processing methods from periapical radiograph and micro-computed tomography with cone-beam computed tomography
The objectives of the present study were to assess Fractal Dimension (FD) values in the mandible cortical bone obtained from digital periapical...
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Fractal Dimension Behaviour of Maze Domain Pattern in Ferrite-Garnet Films During Magnetisation Reversal
Experimental results of the study of magnetic bismuth-containing ferrite-garnet films grown on substrates from gadolinium-gallium garnet are analysed...
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Fractal dimension analysis of stock prices of selected resulting companies after mergers and acquisitions
This study focuses on the short-run wealth of listed firms’ shareholders. Currently, all of the resulting organizations offer competitive pricing...
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Fractal dimension of Katugampola fractional integral of vector-valued functions
Calculating fractal dimension of the graph of a function not simple even for real-valued functions. While through this paper, our intention is to...
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Entropy and Fractal Dimension
It seems reasonable to describe the chaotic and unpredictable nature of a dynamical system with probabilistic concepts. It turns out that this is...
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An Analysis Based on Non-linear Fractal Dimension of the Center of Pressure
Time series related to the center of pressure are utilized in nonlinear measurement techniques that assess motor behavior by examining deviations in...
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Contact Mechanics Analysis of Fractal Surfaces Considering Elliptical Asperity with Elliptical Geometry
AbstractThe purpose of this paper is to present a fractal model of normal contact stiffness of joint surfaces based on elliptical asperity. The...
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Interrelation Between the Fractional Dimensions of Measurands and Fractal Dimensions
The article examines the possibility of an informal relationship between the two concepts of dimensions — dimension of the measurand and the fractal...
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Analysis of the Fractal Structure of Rough Friction Surfaces to Establish Transient Regimes of Frictional Contact
AbstractIt is shown that friction fracture surfaces can be self-affine with a local fractal dimension. However, the intersection of such a...
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A fractal LTB model cannot explain dark energy
We revisited the problem of describing, on average, a fractal distribution of matter using a Lemaitre–Tolman–Bondi (LTB) solution. Here we study the...
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Properties of Fractal Speckle-Like Structures
AbstractProperties of fractal speckle-like images used in art therapy and ophthalmology are considered. A traditional approach based on using...
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Fractal Analysis of Magneto-Optical Visualization of the Remagnetization of a Permanent Magnet in a Pulsed Field
AbstractResults are presented from a fractal analysis of images of the surface of a KC-37 permanent magnet, obtained via the polar Kerr effect using...
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Relationship Between Physical and Mechanical Properties of a Polymer Composite and Fractal Dimension of Structural Elements of its Surface
The paper shows the promising use of the “fractal dimension” parameter for qualitative and quantitative analysis of the surface structure of samples...
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Fractal characterization for conductivity mechanism of single-walled carbon nanotube doped composites
The investigation of physical properties such as the electrical conductivity of vinyl ester/carbon nanotube/polymer systems with different ratios of...
