Results 41 to 50 of about 2,419 (215)
, 2016 Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPESThe purpose of this dissertation is to present an introductory approach to the complex dynamics and fractal geometry, especially the Mandelbrot set.
Reis, Márcio Vaiz dos
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Julia and Mandelbrot Sets for Dynamics over the Hyperbolic Numbers
Fractal and Fractional, 2019 Julia and Mandelbrot sets, which characterize bounded orbits in dynamical systems over the complex numbers, are classic examples of fractal sets. We investigate the analogs of these sets for dynamical systems over the hyperbolic numbers.
Vance Blankers +3 more
doaj +1 more source
Fractal and Fractional, 2022 We investigate Benford’s law in relation to fractal geometry. Basic fractals, such as the Cantor set and Sierpinski triangle are obtained as the limit of iterative sets, and the unique measures of their components follow a geometric distribution, which ...
Filippo Beretta +5 more
doaj +1 more source
Journal of Plant Nutrition and Soil Science, EarlyView.We provide a historic overview of microscopic soil structure characterization from its founding father, Walter Kubiëna, to several technical revolutions like automation, digitalization, and artificial intelligence. In addition to technical advancements, we explore how concepts and research questions have evolved in time.
Steffen Schlüter +3 more
wiley +1 more source
Generalized Scheme For Fractal Based Digital Signature (GFDS). [PDF]
, 2007 This paper describes a new development in the cryptographic digital signature scheme based on Mandelbrot and Julia fractal sets. Recently it has been shown that it is possible to have digital signature scheme based on fractal due to the strong connection
Alia, Mohammad Ahmad, Samsudin, Azman
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Julia sets and the Mandelbrot set [PDF]
, 2016 Educação Superior::Ciências Exatas e da Terra::MatemáticaEach Julia set on the right corresponds to a quadratic polynomial of the form f(z)=z²+c. You can use the locator to choose the complex number c from the picture of the Mandelbrot set on the left ...
McClure, Mark
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Land Degradation &Development, EarlyView.ABSTRACT Coal remains a major global energy source despite ongoing environmental controversies, particularly, regarding climate change and landscape transformation. This study investigates the spatiotemporal dynamics of land use and land cover (LULC) in the Moatize Coal Basin (MCB), Mozambique, between 1990 and 2024, with a specific focus on land ...
Ivan Latinho Naite +2 more
wiley +1 more source
Benoît B. Mandelbrot – 100 years since birth [PDF]
summary:Benoît Mandelbrot, narozený ve Varšavě v roce 1924, je považován za otce fraktální geometrie. Mandelbrotův koncept fraktálů významně ovlivnil matematiku i řadu dalších oborů.
Fabián, Tomáš
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Training Deep Learning Based Dynamic MR Image Reconstruction Using Synthetic Fractals
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To investigate whether synthetically generated fractal data can be used to train deep learning (DL) models for dynamic MRI reconstruction, thereby avoiding the privacy, licensing, and availability limitations associated with cardiac MR training datasets.
Anirudh Raman +10 more
wiley +1 more source
Is the Mandelbrot set computable? [PDF]
, 2003 We discuss the question whether the Mandelbrot set is computable. The computability notions which we consider are studied in computable analysis and will be introduced and discussed. We show that the exterior of the Mandelbrot set, the boundary of the
Hertling, Peter
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