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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 ...
Manuel Fernández-Martínez +1 more
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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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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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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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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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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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Inovasi Matematika, 2022 To support learning process during Covid-19 pandemic, digital literacy skills which is 21st century skill, is an important skill in learning. This research aimed to describe digital literacy skills of prospective mathematics teacher during the covid-19 ...
Eka Sulistyawati, Dwi Shinta Rahayu
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Spectra of Reduced Fractals and Their Applications in Biology
Fractal and Fractional, 2022 Fractals with different levels of self-similarity and magnification are defined as reduced fractals. It is shown that spectra of these reduced fractals can be constructed and used to describe levels of complexity of natural phenomena.
Diana T. Pham, Zdzislaw E. Musielak
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Generación de fractales a partir del método de Newton
Modelling in Science Education and Learning, 2013 A large number of fractals known, as Julia fractals and Mandelbrot, can be generated from an iterative method. In this paper we present a virtual laboratory developed as a Graphical User Interface (GUI) of Matlab that allows us to study and visualize in ...
María José Marín +2 more
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Comptes Rendus. Mathématique, 2020 This appendix gives a lower bound of the Billingsley-Hausdorff dimension of a level set related to Birkhoff average in the “non-compact” symbolic space $\mathbb{N}^{\mathbb{N}}$, defined by Gibbs measure.
Selmi, Bilel
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