Results 31 to 40 of about 21,689 (298)
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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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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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 ...
Fernández-Martínez, M. +1 more
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The geometry of self-affine fractals [PDF]
, 2008 In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number of notions from fractal geometry, in particular, dimensions, measure properties and iterated functions systems.
Miao, Jun Jie
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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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Fractal Pharmacokinetics [PDF]
Computational and Mathematical Methods in Medicine, 2009 Pharmacokinetics (PK) has been traditionally dealt with under the homogeneity assumption. However, biological systems are nowadays comprehensively understood as being inherently fractal. Specifically, the microenvironments where drug molecules interact with membrane interfaces, metabolic enzymes or pharmacological receptors, are unanimously recognized ...
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3D Printing Hypercomplex Fractals [PDF]
, 2022 This paper describes a method to efficiently define and 3D print unique kaleidoscopic hypercomplex fractals. The proposed method allows the user to easily edit fractals in three ways: changing the power the fractal is raised to, changing the number of ...
Fryazinov, Oleg, Fogarasi, Emma
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Artificial Intelligence, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keith McGreggor +2 more
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A Brief Survey of Paradigmatic Fractals from a Topological Perspective
Fractal and Fractional, 2023 The key issues in fractal geometry concern scale invariance (self-similarity or self-affinity) and the notion of a fractal dimension D which exceeds the topological dimension d.
Julián Patiño Ortiz +3 more
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Maple Transactions, 2023 An exponential tower is obtained by repeatedly raising a number to itself, as in xˣ, x^{x^x}, and so on. When formulated as an iterative process, it may converge to a single value, diverge to infinity, cycle between multiple values, or wander forever. Representing this property graphically leads to a beautiful fractal object.
Johan Joby +2 more
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