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Showing 1 to 15 of 15 for “"Mandelbrot"”.
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Exploring the Mandelbrot Set
The Mandelbrot set is a mathematical mystery. Finding its home somewhere be-<br />tween holomorphic dynamics and complex analysis, the Mandelbrot set showcases<br />its usefulness in fields across the many realms of math—ranging from physics to nu-<br />merical methods and even biology. While …
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Contribución al estudio de la estructura interna del conjunto de Mandelbrot y aplicaciones en criptografía
El conjunto de Mandelbrot suele proponerse como paradigma de los sistemas caóticos discretos. Sin embargo, los fenónemos no lineales asociados a estos sistemas no son suficientemente comprendidos. En este trabajo se profundiza en el estudio de la estructura interna del conjunto de Mandelbrot y se …
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Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set
The Mandelbrot set M is a subset of the parameter plane for iteration of the complex quadratic polynomial Q c ( z ) = z 2 + c . M consists of those c values for which the orbit of 0 is bounded. This set features a basic cardioid shape from which hang numerous 'bulbs' or 'decorations'. Each of these …
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Video Popularity Metrics and Bubble Cache Eviction Algorithm Analysis
… was done to assess which model, Zipf or Zipf-Mandelbrot, is best suited to replicate video popularity distributions and the results of these tests conclude that Zipf-Mandelbrot is the most appropriate model to replicate video popularity distributions. The work concludes that the novel cache …
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FRACTALS IN PUPILLARY OSCILLATION PATTERNS: FROM GRAY IMAGES TO JACKSON POLLOCK PAINTINGS
… & Stanley, 2002; Kiselev, Hahn, & Auer, 2003; Mandelbrot, 1982). Fractals are structures which are self-similar at varying magnification and can be either statistical (meaning they are not identical when magnification varies but are self-similar by some statistical measure) or mathematical (the …
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Spatial design thinking in the age of multimedia
… design thinking. As a result, Chaos theory and Mandelbrot Set can be used to support new spatial design thinking and design models. Finally, this study examines Prezi, a multimedia-based tool, to integrate design thinking and communication.</p>
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Use of the fractal dimension in characterization of terrestrial surfaces
… of a "fractal dimension" as described by Benoit Mandelbrot and utilized by many others in various cartographic applications. Relationships involving the resolved surface area and volume of digital elevation models were utilized in evaluating the fractal dimension. Three digital elevation models …
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Dynamical statistics for power series and polynomials with restricted coefficients
… coefficients equal to ±1. Motivated by the Julia–Mandelbrot correspondence, we construct a natural measure in the parameter space satisfying analogous properties for this family. Viewing the natural measure as an average root-counting measure, we establish its asymptotics and angular …
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Investigations on Multiscale Fractal-textured Superhydrophobic and Solar Selective Coatings
… fractal asperity model based on the Weierstrass-Mandelbrot function. Using this description, a model is presented to evaluate the apparent contact angle in different wetting regimes. Experimental validation of the model predictions is presented on various hydrophobic and superhydrophobic surfaces …
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Mineral ecology and network analysis of chromium, platinum, gold and palladium
… Several functions such as the finite Zipf-Mandelbrot (fZM), chord diagrams and mineral network diagrams, processed data and provided information on the estimation of minerals at different localities and interrelationships between chromium, platinum, gold and palladium-bearing minerals. The …
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Fractal relationships and spatial distribution of ore body modelling
… to model many natural phenomenon successfully (Mandelbrot 1983, Burrough 1981), but until now fractal modelling techniques have not been able to match the versatility and accuracy of geostatistical methods. Fractal ideas and use of the fractal dimension may in certain cases provide a better …
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A epidemia de HIV/AIDS no Brasil: um estudo semântico cognitivo sócio-histórico-cultural da conceptualização da morte no século XX.
… years 1980 to 2000, based on the Fractal Theory (MANDELBROT, 1982; PAIVA, 2011, 2010) and the Theoretical Saturation Technique (FLAQUETTO et al., 2018; FONTAELLA, 2011; SANTANA, 2019). The results were organized based on the found Matrix Domains and the Conceptual metaphors identified in the …
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On Gaussian Multiplicative Chaos
… a mathematical foundation for Kolmogorov-Obukhov-Mandelbrot theory of energy dissipation in developed turbulence. It has attracted a lot of attentions from the mathematics community in the last decade, playing a pivotal role in the probabilistic formulation of Liouville conformal field theory, as …
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FRACTAL BASED FRAMEWORK FOR TIME SERIES VOLATILITY PREDICTION
… developments include fBm defined through Mandelbrot–Van Ness kernels, and advanced mathematical tools such Molchan martingale and BDG inequalities ensuring rigorous theoretical validity. These different concepts are combined to model uncertainties such as sudden market shocks and investor …