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Fractal dimension for fractal structures
Topology and its Applications, 2014 The main goal of this paper has a double purpose. On the one hand, we propose a new definition in order to compute the fractal dimension of a subset respect to any fractal structure, which completes the theory of classical box-counting dimension. Indeed, if we select the so called natural fractal structure on each euclidean space, then we will get the ...
Fernández-Martínez, M. +1 more
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Predictive modeling of low-temperature performance of SMA-13 cold-patching asphalt mixtures based on fractal theory [PDF]
E3S Web of ConferencesIn order to study the relationship between the low-temperature performance of cold-patching asphalt mixtures and the fractal of gradation, 13 groups of SMA-13 gradations were designed, and then the low-temperature performance test of cold-patching ...
Sun Zhao-Hui, Xie Jie-Ru, Guo Ke
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, 2022 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. This paper is devoted to discussing the problem of uncertainty of fractal dimension estimation and the potential ...
Bekmirzayev D.A, Uralova I.A
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Signal Pattern Recognition Based on Fractal Features and Machine Learning
Applied Sciences, 2018 As a typical pattern recognition method, communication signal modulation involves many complicated factors. Fractal theory can be used for signal modulation feature extraction and recognition because of its good ability to express complex information. In
Chang-Ting Shi
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Research on a Fractal Dimension Calculation Method for a Nano-Polymer Microspheres Dispersed System
Frontiers in Chemistry, 2021 Polymer microspheres (PMs) are a kind of self-similar volume expansion particle, and their fractal dimension varies with hydration swelling. However, there is no unique fractal dimension calculation method for their characteristics.
Wenyue Zhao +6 more
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Using fractal characteristics to analyze the development of whole-rolled wheel destruction [PDF]
MATEC Web of Conferences, 2020 Purpose: Determination of mechanical characteristics of wheel steel by analyzing the development of destruction of solid-rolled wheels. Methods: Determination of the crack resistance of all-rolled wheels by testing samples from wheel steel for off-center
Kononov Dmitry +3 more
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Applied Sciences, 2019 This study investigates the effects of basalt–polypropylene fibers on the compressive strength and splitting tensile strength of concrete and calculates the fractal dimension of the pore structure of concrete by using a fractal model based on the optical
D. Niu +5 more
semanticscholar +1 more source
Stochastic models which separate fractal dimension and Hurst effect [PDF]
, 2001 Fractal behavior and long-range dependence have been observed in an astonishing number of physical systems. Either phenomenon has been modeled by self-similar random functions, thereby implying a linear relationship between fractal dimension, a measure ...
Constantine A. G. +7 more
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Oscillatory integrals and fractal dimension [PDF]
Bulletin des Sciences Mathématiques, 2021 We study geometrical representation of oscillatory integrals with an analytic phase function and a smooth amplitude with compact support. Geometrical properties of the curves defined by the oscillatory integral depend on the type of a critical point of the phase. We give explicit formulas for the box dimension and the Minkowski content of these curves.
Rolin, Jean-Philippe +2 more
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Polish Maritime Research, 2018 The dredger fill of Shanghai Hengsha Island Dongtan is solidified by curing agents with different fly ash content, and the shear strength index of solidified dredger fill is measured by the direct shear test.
Shuai Yang, Wenbai Liu, Hongwei Liu
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