Results 41 to 50 of about 6,037,193 (187)
Fractal and Fractional, 2022 We introduce several q-differential equations of higher order which are related to q-Bernoulli polynomials and obtain a symmetric property of q-differential equations of higher order in this paper. By giving q-varying variations, we identify the shape of
Cheon-Seoung Ryoo, Jung-Yoog Kang
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Ultrasound in Obstetrics &Gynecology, EarlyView.ABSTRACT Objective The primary aim was to evaluate pre‐ and postnatal morphological changes in large simple fetal ovarian cysts following in‐utero aspiration compared with expectant management. Secondary aims were to assess postnatal outcome in terms of surgical intervention and to evaluate complications associated with in‐utero aspiration.
V. Peyronnet +10 more
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Application of the Fractal Geometry in Development Surya Majapahit Batik Motif
JTAM (Jurnal Teori dan Aplikasi Matematika)The Mandelbrot and Julia sets are generated through iterative mathematical functions applied to points in the complex plane. These operations enable the detailed and intricate patterns characteristic of these fractals, allowing for modifications and ...
Juhari Juhari +1 more
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The simplicity of physical laws
Noûs, EarlyView.Abstract Physical laws are strikingly simple, yet there is no a priori reason for them to be so. I propose that nomic realists—Humeans and non‐Humeans—should recognize simplicity as a fundamental epistemic guide for discovering and evaluating candidate physical laws.
Eddy Keming Chen
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Equivalence between subshrubs and chaotic bands in the Mandelbrot set
Discrete Dynamics in Nature and Society, 2006 We study in depth the equivalence between subshrubs and chaotic bands in the Mandelbrot set. In order to do so, we introduce the rules for chaotic bands and the rules for subshrubs, as well as the transformation rules that allow us to interchange them ...
G. Pastor +4 more
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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
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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
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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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What Was Homer Honing in the Odyssey?
Perspectives of Earth and Space Scientists, Volume 6, Issue 1, December 2025.Abstract We summarize the data provided in Homer's the Odyssey concerning Odysseus' journey and suggest a completely new view of what was Homer trying to convey to us. We suggest that Homer was honing the idea of synergy between rules (determinism) and chance (randomness), an idea deeply rooted in natural processes as well in mathematics.
Anastasios A. Tsonis +2 more
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Fractals: Exploring Mandelbrot Coordinates and qualitative characteristics of the corresponding Julia Set [PDF]
, 2022 Edward Thomas, Samuel Williams
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