Results 11 to 20 of about 295,150 (372)
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 +3 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 +3 more
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Explicit Spectral Decimation for a Class of Self-Similar Fractals [PDF]
Abstract and Applied Analysis, 2013 The method of spectral decimation is applied to an infinite collection of self-similar fractals. The sets considered are a generalization of the Sierpinski Gasket to higher dimensions; they belong to the class of nested fractals and are thus very ...
Sergio A. Hernández +1 more
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Perceptual and Physiological Responses to Jackson Pollock's Fractals
Frontiers in Human Neuroscience, 2011 Fractals have been very successful in quantifying the visual complexity exhibited by many natural patterns, and have captured the imagination of scientists and artists alike.
Richard P Taylor
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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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On the construction of recurrent fractal interpolation functions using Geraghty contractions
Electronic Research Archive, 2023 The recurrent iterated function systems (RIFS) were first introduced by Barnsley and Demko and generalized the usual iterated function systems (IFS). This new method allowed the construction of more general sets, which do not have to exhibit the strict ...
Najmeddine Attia , Hajer Jebali
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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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Fractals in the Nervous System: Conceptual Implications for Theoretical Neuroscience [PDF]
Front. Physiology, 2009 This essay is presented with two principal objectives in mind: first, to document the prevalence of fractals at all levels of the nervous system, giving credence to the notion of their functional relevance; and second, to draw attention to the as yet ...
Gerhard Werner
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