Results 11 to 20 of about 5,790 (264)
Fractals: An Eclectic Survey, Part-I
Fractal and Fractional, 2022 Fractals are geometric shapes and patterns that may repeat their geometry at smaller or larger scales. It is well established that fractals can describe shapes and surfaces that cannot be represented by the classical Euclidean geometry.
Akhlaq Husain +2 more
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Fractals: An Eclectic Survey, Part II
Fractal and Fractional, 2022 Fractals are geometric shapes and patterns that can describe the roughness (or irregularity) present in almost every object in nature. Many fractals may repeat their geometry at smaller or larger scales.
Akhlaq Husain +2 more
exaly +3 more sources
Two-dimensional coronene fractals: modified reverse degree indices, comparative analysis of information entropy and predictive modeling of spectral properties [PDF]
Frontiers in ChemistryTopological characterization through graph-theoretical methods translates chemical and structural data into quantitative values that represent the molecular system.
A. R. Abul Kalaam, A. Berin Greeni
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Journal of Fractal Geometry, Mathematics of Fractals and Related Topics, 2021 Davis and Knuth in 1970 introduced the notion of revolving sequences, as representations of a Gaussian integer. Later, Mizutani and Ito pointed out a close relationship between a set of points determined by all revolving sequences and a self-similar set, which is called the Dragon.
Kawamura, Kiko, Allen, Andrew
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The mutual singularity of the relative multifractal measures
Nonautonomous Dynamical Systems, 2021 M. Das proved that the relative multifractal measures are mutually singular for the self-similar measures satisfying the significantly weaker open set condition. The aim of this paper is to show that these measures are mutually singular in a more general
Douzi Zied, Selmi Bilel
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Regular, Singular and Hypersingular Integrals over Fractal Contours
Mathematics, 2023 The paper is devoted to the approximate calculation of Riemann definite integrals, singular and hypersingular integrals over closed and open non-rectifiable curves and fractals.
Ilya Boykov +2 more
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FRACTAL RADIOPHYSICS. 1. THEORETICAL BASES [PDF]
Radio Physics and Radio Astronomy, 2020 Purpose: Currently, there is a tendency to “fractalize” the science. Radiophysics is no exception. The subject of this work is a review of the basic ideas of “fractalization”, the mathematical foundations of modern fractal methods for describing and ...
O. V. Lazorenko, L. F. Chernogor
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Incomplete fractal showers and restoration of dimension [PDF]
EPJ Web of Conferences, 2019 The S ePaC and BC methods are used in the fractal analysis of mixed events containing incomplete fractals. The reconstruction of the event distribution by the dimension DF is studied.
Dedovich Tatiana, Tokarev Mikhail
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Nanoscale Research Letters, 2008 Abstract Self-similar patterns are frequently observed in Nature. Their reproduction is possible on a length scale 102–105 nm with lithographic methods, but seems impossible on the nanometer length scale. It is shown that this goal may be achieved via a multiplicative variant of the multi-spacer patterning technology, in this way permitting ...
Cerofolini, GF +3 more
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