Results 71 to 80 of about 263,389 (315)

Generation of Julia and Mandelbrot fractals for a generalized rational type mapping via viscosity approximation type iterative method extended with s-convexity

AIMS Mathematics
A dynamic visualization of Julia and Mandelbrot fractals involves creating animated representations of these fractals that change over time or in response to user interaction which allows users to gain deeper insights into the intricate structures and ...
Arunachalam Murali , Krishnan Muthunagai
doaj   +1 more source

Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration

Journal of Function Spaces, 2022
In this paper, utilizing the Fibonacci-Mann iteration process, we explore Julia and Mandelbrot sets by establishing the escape criteria of a transcendental function, sinzn+az+c, n≥2; here, z is a complex variable, and a and c are complex numbers.
Nihal Özgür, Swati Antal, Anita Tomar
doaj   +1 more source

Accelerated Progression of Gait Impairment in Parkinson's Disease and REM Sleep Without Atonia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective People with Parkinson's disease (PD) and rapid eye movement (REM) sleep without atonia (RSWA) often have more severe gait disturbances compared to PD without RSWA. The association between the presence and expression of RSWA and the rate of progression of gait impairment in PD is unknown.
Sommer L. Amundsen‐Huffmaster, Jae Woo Chung, Maria E. Linn‐Evans, Matthew N. Petrucci, Chiahao Lu, Destiny J. Weaver, Joshua De Kam, Scott E. Cooper, Paul J. Tuite, Aleksandar Videnovic, Michael J. Howell, Colum D. MacKinnon   +11 more
wiley   +1 more source

Generalized Logistic Maps in the Complex Plane: Structure, Symmetry, and Escape-Time Dynamics

Axioms
In this paper, we introduce a generalised formulation of the logistic map extended to the complex plane and correspondingly redefine the classical Mandelbrot and Julia sets within this broader framework.
Krzysztof Gdawiec, Muhammad Tanveer
doaj   +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, Waqas Nazeer, Muhmmad Tanveer, Abdul Aziz Shahid   +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

Fixed Point Results for Fractal Generation of Complex Polynomials Involving Sine Function via Non-Standard Iterations

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, Muhammad Tanveer, Waqas Nazeer, Yuming Chu   +3 more
doaj   +1 more source

Holomorphic Removability of Julia Sets [PDF]

, 1998
Let $f(z) = z^2 + c$ be a quadratic polynomial, with c in the Mandelbrot set. Assume further that both fixed points of f are repelling, and that f is not renormalizable.
Kahn, Jeremy
core  

Higher Amyloid and Tau Burden Is Associated With Faster Decline on a Digital Cognitive Test

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective A 2‐min digital clock‐drawing test (DCTclock) captures more granular features of the clock‐drawing process than the pencil‐and‐paper clock‐drawing test, revealing more subtle deficits at the preclinical stage of Alzheimer's disease (AD). A previous cross‐sectional study demonstrated that worse DCTclock performance was associated with
Jessie Fanglu Fu, Talia Robinson, Marina Rodriguez Alonso, Adela Francis Malave, Roos J. Jutten, Michael J. Properzi, Brian C. Healy, Jackson C. Thompson, Grace Del Carmen Montenegro, Emma Thibault, Dana Penney, Randall Davis, Reisa A. Sperling, Kathryn V. Papp, Keith A. Johnson, Julie C. Price, Dorene M. Rentz   +16 more
wiley   +1 more source

Cutaneous Phosphorylated Alpha‐Synuclein in Lewy Body Dementia

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To determine the test performance of cutaneous phosphorylated alpha‐synuclein (P‐SYN) in dementia with Lewy bodies (DLB), individuals with reduced Montreal Cognitive Assessment (MoCA) and healthy controls. Methods This is the first subgroup analysis of the Synuclein‐One study, a prospective, blinded study evaluating P‐SYN detection ...
Christopher H. Gibbons, Todd Levine, Charles H. Adler, Bailey Bellaire, Ningshan Wang, Pinky Agarwal, Georgina M. Aldridge, Alexandru Barboi, Daniel Claassen, Virgilio G. H. Evidente, Douglas Galasko, Alejandra Gonzalez‐Duarte, Ramon Gil, Mark Gudesblatt, Stuart H. Isaacson, Horacio Kaufmann, Pravin Khemani, Rajeev Kumar, Guillaume Lamotte, Andy J. Liu, Nikolaus R. McFarland, Mitchell G. Miglis, Adam Reynolds, Gregory A. Sahagian, Marie‐Helene Saint‐Hilaire, Julie B. Schwartzbard, Wolfgang Singer, Michael J. Soileau, Steven Vernino, Patricio Millar Vernetti, Oleg Yerstein, Roy Freeman   +31 more
wiley   +1 more source