Results 31 to 40 of about 295,150 (372)
A Generalization of the Hausdorff Dimension Theorem for Deterministic Fractals
Mathematics, 2021 How many fractals exist in nature or the virtual world? In this paper, we partially answer the second question using Mandelbrot’s fundamental definition of fractals and their quantities of the Hausdorff dimension and Lebesgue measure.
Mohsen Soltanifar
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Acta Scientiarum: Biological Sciences, 2011 Fractals seemed to have permeated most scientific fields, including ecology. In fact, biodiversity and ecological processes are affected by spatial complexity, and fractals can help understand patterns at multiple scales.
André Andrian Padial +1 more
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Momentum: Physics Education Journal, 2023 In undergraduate classrooms, while teaching chaos and fractals, it is taught as if there is no relation between these two. By using some non linear oscillators we demonstrate that there is a connection between chaos and fractals.
Prasanth Pulinchery +2 more
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Fractal Pharmacokinetics [PDF]
Computational and Mathematical Methods in Medicine, 2009 Pharmacokinetics (PK) has been traditionally dealt with under the homogeneity assumption. However, biological systems are nowadays comprehensively understood as being inherently fractal. Specifically, the microenvironments where drug molecules interact with membrane interfaces, metabolic enzymes or pharmacological receptors, are unanimously recognized ...
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Fractal Modeling and Fractal Dimension Description of Urban Morphology
Entropy, 2020 The conventional mathematical methods are based on characteristic length, while urban form has no characteristic length in many aspects. Urban area is a scale-dependence measure, which indicates the scale-free distribution of urban patterns.
Yanguang Chen
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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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Projections of measures with small supports
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2021 In this paper, we use a characterization of the mutual multifractal Hausdorff dimension in terms of auxiliary measures to investigate the projections of measures with small supports.
Bilel Selmi
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The Study Geometry Fractals Designed on Batik Motives
Cauchy: Jurnal Matematika Murni dan Aplikasi, 2019 This research was conducted to gain some patterns of fractals Julia set and Seirpinski that applied on Batik then creating Batik that has many varied motives and multifaceted. There are three steps in formulating the patterns of fractals of Julia set and
Juhari Juhari
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Morphology-driven gas sensing by fabricated fractals: A review
Beilstein Journal of Nanotechnology, 2021 Fractals are intriguing structures that repeat themselves at various length scales. Interestingly, fractals can also be fabricated artificially in labs under controlled growth environments and be explored for various applications.
Vishal Kamathe, Rupali Nagar
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Construction of Three Branches Fractal Trees Using Iterated Function System
Jurnal Ilmu Dasar, 2022 There are two types of fractal: natural fractals and fractals set. The examples of natural fractals are trees, leaves, ferns, mountain, and coastlines. One of the examples of fractals set is Pythagorean tree.
Kosala Dwidja Purnomo +2 more
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