Results 51 to 60 of about 1,964,264 (277)

Transcendental Picard-Mann hybrid Julia and Mandelbrot sets [PDF]

Mathematica Moravica, 2019
In this paper, the fascinating Julia and Mandelbrot sets for the complex-valued transcendental functions z → sin(z m) + c, (m ≥ 2) ∈ N have been obtained in Picard, Ishikawa and Noor orbits.
Chandra Joshi Mahesh, Rani Mamta, Chandra Naveen   +2 more
doaj  

Integration of Serum Neurofilament Light Chain and Cortical Dysfunction Improves Diagnostic Accuracy in ALS

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To determine whether integration of serum neurofilament light chain (NfL) and cortical dysfunction improves diagnostic accuracy in amyotrophic lateral sclerosis (ALS) when applied alongside the Gold Coast criteria (GCC). Methods In this prospective study, 148 participants with suspected ALS were recruited (101 ALS and 47 with ALS ...
Aicee Dawn Calma, Nathan Pavey, Yukiko Tsuji, Amirul Ab Ghapar, Mehdi A.J. van den Bos, Bronwen Orden, Grace Lee, Linda Mekhael, Julie Ryder, Cláudia Santos Silva, David McDonald, Fakhria Kakar, Con Yiannikas, Matthew C. Kiernan, David A. Brown, Parvathi Menon, Steve Vucic   +16 more
wiley   +1 more source

The capacity of parabolic julia sets

Mathematische Zeitschrift, 1992
We prove that the Hausdorff dimension \(h\) of the Julia set of a parabolic rational map is equal to its capacity (box dimension), and is also equal to the Hausdorff dimension of the unique \(h\)-conformal measure.
Denker, M., Urbanski, M.
openaire   +1 more source

Long‐Term Neurologic Exam Findings in People Diagnosed and Treated During Acute HIV Infection

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Evaluate clinical and laboratory correlates of abnormal neurologic exam findings after acute HIV infection (AHI). Methods Participants from the RV254/SEARCH 010 cohort in Bangkok underwent standardized neurologic examinations at Weeks 0 (AHI), 12, 96, and 288 following antiretroviral therapy (ART).
Kathryn B. Holroyd, Tyler Hamby, Carlo Sacdalan, Somchai Sriplienchan, Pathariya Promensa, Luxenaree Poonpitak, Netsiri Dumrongpisutikul, Eugène Kroon, Sandhya Vasan, Robert Paul, Ferron O'Campo, Lydie Trautmann, Phillip Chan, Serena Spudich, on behalf of the RV254/SEARCH 010 Study Team, Julie Ake, Sandhya Vasan, Lydie Trautmann, Merlin Robb, Trevor Crowell, Donn Colby, Diane Bolton, Shelly Krebs, Leigh Ann Eller, Morgane Rolland, Rasmi Thomas, Dominic Paquin Proulx, Suteeraporn Pinyakorn, Tyler Hamby, Mark de Souza, Ellen Turk, Amber Moodley, Gerald Quarles, Jintanat Ananworanich, Denise Hsu, Victoria Polonis, Nelson Michael, Sheila Peel, COL Eric Garges, Alexandra Schuetz, Siriwat Akapirat, Bessara Nantapinit, Pornsuk Visudhiphan, Saowanit Getchalarat, Nampueng Churikanont, Sangsulee Thamakaison, Somchai Sriplienchan, Carlo Sacdalan, Pathariya Promsena, Luxe‐naree Poonpitak, Eugene Kroon, Nitiya Chomchey, Jintana Intasan, Varaporn Pothipala, Ferron Ocampo, Nittaya Phanuphak, Nipat Teeratakulpisan, Yuwaree Pichitchok, Anchalee Avihingsanon, Opass Putcharoen, Kiat Ruxrungtham, Thanyawee Puthanakit, Sopark Manasnayakorn, Phandee Watanaboonyongcharoen, Rungsun Rerknimitr, Irini Sereti, Daniel Douek, Eli Bortiz, Frank Maldarelli, Mary Kearney, Serena Spudich, Phillip Chan, Lishomwa Ndhlovu, Guinevere Li, Michael Corley, Victor Valcour, Peter Hunt, Jacob Estes, Afam Okoye, Jeff Lifson, Claire Deleage, Nicolas Chomont, Andres Finzi, Lyle McKinnon, Henrik Zetterberg, Robert Siliciano, Robert Paul, Julie Mannarino, Jonathan Li, John Mellors, Josh Cytkor, Dan Barouch, Michael Seaman, Boris Juelg, Alex Shalek, Timothy Schacker, Ashley Haase, Mario Stevenson, Wenjun Li, Arthur Kim, Sharon Lewin, Adam Carrico, Susana Valente, Fred Hutchinson, Josh Schiffer, Guido Ferrari, Beau Ances, Alberto Bosque, Katharine Bar, Killian Pohl, David Ho, Yaoxing Huang, Michael Busch, Mohamed Abdel‐Mohsen, Johanna Gostner, Brian Agan, Fatah Kashanchi, Greg Laird, Kathryn Holroyd   +118 more
wiley   +1 more source

A novel investigation of quaternion Julia and Mandelbrot sets using the viscosity iterative approach

Results in Control and Optimization
This paper presents a novel technique for visualizing quaternion Julia and Mandelbrot sets of a quaternion-valued polynomial mapping T(q)=qn+mq+c, where q is a quaternion variable, n∈N∖{1}, and m,c are quaternion parameters, by employing the viscosity ...
Nabaraj Adhikari, Wutiphol Sintunavarat
doaj   +1 more source

Exploration of Filled-In Julia Sets Arising from Centered Polygonal Lacunary Functions

Fractal and Fractional, 2019
Centered polygonal lacunary functions are a particular type of lacunary function that exhibit properties which set them apart from other lacunary functions. Primarily, centered polygonal lacunary functions have true rotational symmetry.
L.K. Mork, Trenton Vogt, Keith Sullivan, Drew Rutherford, Darin J. Ulness   +4 more
doaj   +1 more source

Fractals via Generalized Jungck–S Iterative Scheme

Discrete Dynamics in Nature and Society, 2021
The purpose of this research is to introduce a Jungck–S iterative method with m,h1,h2–convexity and hence unify different comparable iterative schemes existing in the literature.
Zhihua Chen, Muhammad Tanveer, Waqas Nazeer, Jing Wu   +3 more
doaj   +1 more source

Laplacians on the basilica Julia set

Communications on Pure and Applied Analysis, 2010
We consider the basilica Julia set of the polynomial $P(z)=z^{2}-1$ and construct all possible resistance (Dirichlet) forms, and the corresponding Laplacians, for which the topology in the effective resistance metric coincides with the usual topology. Then we concentrate on two particular cases.
Rogers, Luke G., Teplyaev, Alexander
openaire   +2 more sources

Troponin T and Neurofilament Light Chain Levels as Complementary Biomarkers of Disease Accumulation and Aggressiveness in Amyotrophic Lateral Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Amyotrophic lateral sclerosis (ALS) is a clinically heterogeneous neurodegenerative disease requiring reliable biomarkers to improve patient stratification and trial design. While serum neurofilament light chain (sNfL) reflects neuroaxonal stress and disease aggressiveness, troponin T (TnT) may capture complementary aspects of ...
Julia Sellin, Sofia Waldorf, Janina von der Gablentz, Torsten Grehl, Huelya Nazlican, Thomas Meyer, Julian Grosskreutz, Patrick Weydt, Sarah Bernsen   +8 more
wiley   +1 more source

Hybrid Picard S-iteration for escape analysis, symmetry, computational insights, and visualization of complex fractals

Mathematical and Computer Modelling of Dynamical Systems
For the visualization of fractals, iterative schemes are fundamental and serve as important tools. In this paper, we introduce an escape criterion using the Hybrid Picard S-iteration to visualize fractals for the function [Formula: see text], where ...
Anita Tomar, Saurabh Sharma, Sanjay Kumar Padaliya, Mohammad Sajid   +3 more
doaj   +1 more source