Results 71 to 80 of about 29,416 (289)
ALTERNATED JULIA SETS AND CONNECTIVITY PROPERTIES [PDF]
International Journal of Bifurcation and Chaos, 2009 In this work we present the alternated Julia sets, obtained by alternated iteration of two maps of the quadratic family [Formula: see text] and prove analytically and computationally that these sets can be connected, disconnected or totally disconnected verifying the known Fatou–Julia theorem in the case of polynomials of degree greater than two. Some
Marius-F. Danca, M. Romera, G. Pastor
openaire +2 more sources
Intelligent Tutoring Systems for Adult Learning in STEM Disciplines
New Directions for Adult and Continuing Education, EarlyView.ABSTRACT Intelligent tutoring systems (ITS) are reshaping adult learning in STEM by providing adaptive, data‐driven instruction across classrooms, workplaces, and informal environments. In the context of ITS, this article compares generative AI, which creates personalized explanations and practice materials, with explainable AI, which focuses on ...
Jill Zarestky, Amanda R. Lager Gleason
wiley +1 more source
Eigenvalues in Filled Julia Sets [PDF]
, 2011 We show how Julia sets can be introduced very naturally in a junior-level linear algebra course, as a way of exposing students to the contemporary area of complex dynamics. The standard definition of the filled Julia set of a polynomial is generalized to
Jonathon E. Fassett +1 more
core +1 more source
Developmental and Epileptic Encephalopathy due to Biallelic Pathogenic Variants in PIGM
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective PIGM encodes a critical enzyme in the glycosylphosphatidylinositol (GPI)‐anchor biosynthesis pathway. While promoter‐region mutations in PIGM have been associated with a relatively mild phenotype characterized by portal vein thrombosis and absence seizures, recent evidence suggests that coding‐region mutations result in a more severe
Júlia Sala‐Coromina +11 more
wiley +1 more source
Effect of Stochastic Noise on Superior Julia Sets [PDF]
, 2010 Julia sets are considered one of the most attractive fractals and have wide range of applications in science and engineering. The strong physical meaning of Mandelbrot and Julia sets is broadly accepted and nicely connected by Christian Beck (Physica D ...
Mamta, Rani, Agarwal, Rashi
core +1 more source
Mandelbrot and Julia Sets of Transcendental Functions Using Picard–Thakur Iteration
Fractal and Fractional, 2023 The majority of fractals’ dynamical behavior is determined by escape criteria, which utilize various iterative procedures. In the context of the Julia and Mandelbrot sets, the concept of “escape” is a fundamental principle used to determine whether a ...
Ashish Bhoria +2 more
doaj +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objectives Acute kidney injury (AKI) is a common but often underrecognized complication in ischemic stroke patients undergoing mechanical thrombectomy, particularly among those with pre‐existing renal impairment. This study evaluated the incidence, risk factors, and clinical impact of AKI in this high‐risk population.
Michał Borończyk +10 more
wiley +1 more source
New Fixed Point Results for Fractal Generation in Jungck Noor Orbit with s-Convexity
Journal of Function Spaces, 2015 We establish new fixed point results in the generation of fractals (Julia sets, Mandelbrot sets, and Tricorns and Multicorns for linear or nonlinear dynamics) by using Jungck Noor iteration with s-convexity.
Shin Min Kang +3 more
doaj +1 more source
Comparative Study of Some Fixed-Point Methods in the Generation of Julia and Mandelbrot Sets
Journal of Mathematics, 2020 Fractal is a geometrical shape with property that each point of the shape represents the whole. Having this property, fractals procured the attention in computer graphics, engineering, biology, mathematics, physics, art, and design.
Hao Zhou, Muhammad Tanveer, Jingjng Li
doaj +1 more source
IEEE Access, 2020 Due to the uniqueness and self-similarity, fractals became most attractive and charming research field. Nowadays researchers use different techniques to generate beautiful fractals for a complex polynomial zn + c.
Hengxiao Qi +3 more
doaj +1 more source