Results 11 to 20 of about 6,127 (265)
ON THE MUTUAL MULTIFRACTAL ANALYSIS FOR SOME NON-REGULAR MORAN MEASURES
Проблемы анализа, 2023 In this paper, we study the mutual multifractal Hausdorff dimension and the packing dimension of level sets 𝐾(𝛼, 𝛽) for some non-regular Moran measures satisfying the so-called Strong Separation Condition.We obtain sufficient conditions for the valid ...
B. Selmi, N. Yu. Svetova
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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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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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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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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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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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