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A note on the fractal dimension [PDF]
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1995 We give a generalization of a theorem from Barnsley [1 ] whiclı simplifies the computation of the fractal dimension.
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Fractal Dimension of Particle Showers Measured in a Highly Granular Calorimeter
, 2013 We explore the fractal nature of particle showers using Monte-Carlo simulation. We define the fractal dimension of showers measured in a high granularity calorimeter designed for a future lepton collider.
Boudry, Vincent +4 more
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Fractals with optimal information dimension [PDF]
Circuits, Systems, and Signal Processing, 2020 Relevant data is included in the paper.
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The scattering from generalized Cantor fractals
, 2010 We consider a fractal with a variable fractal dimension, which is a generalization of the well known triadic Cantor set. In contrast with the usual Cantor set, the fractal dimension is controlled using a scaling factor, and can vary from zero to one in ...
A. I. Kuklin +28 more
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From rock microstructure to macromechanical properties based on fractal dimensions
Advances in Mechanical Engineering, 2019 Basic rock mechanical parameters, that is, the uniaxial compressive strength σ c and elastic modulus E , have close relationships with the fractal dimension and inhomogeneity.
Dongmei Huang +4 more
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The Solutions to the Uncertainty Problem of Urban Fractal Dimension Calculation
Entropy, 2019 Fractal geometry provides a powerful tool for scale-free spatial analysis of cities, but the fractal dimension calculation results always depend on methods and scopes of the study area. This phenomenon has been puzzling many researchers.
Yanguang Chen
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Fractal Dimension of Digital 3D Rock Models with Different Pore Structures
Energies, 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
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Fractal dimension of lightning discharge [PDF]
Nonlinear Processes in Geophysics, 1995 Abstract. Using a stochastic model, we simulate the process of dielectric breakdown in the atmosphere and calculate the fractal dimension of 3-dimensional lightning patterns. Finite-size effects have been studied. The projections of our patterns on vertical planes fit the experimental fractal dimension obtained from photographic analysis.
Sañudo, J. +3 more
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Multi-fractal analysis of weighted networks [PDF]
, 2014 In many real complex networks, the fractal and self-similarity properties have been found. The fractal dimension is a useful method to describe fractal property of complex networks.
Chen, Xiaowu +5 more
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Applied Sciences, 2021 In this work, the complex geometry of beams obtained from topology optimization is characterized through the fractal dimension (FD). The fractal dimension is employed as an efficiency measure of the mass distribution in the beams, that is, the capacity ...
Pablo Pavón-Domínguez +3 more
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