Results 61 to 70 of about 92,316 (261)

Approximation by double Walsh polynomials

International Journal of Mathematics and Mathematical Sciences, 1992
We study the rate of approximation by rectangular partial sums, Cesàro means, and de la Vallée Poussin means of double Walsh-Fourier series of a function in a homogeneous Banach space X.
Ferenc Móricz
doaj   +1 more source

Re‐Purposing Sapropterin (Kuvan) for ACTA2‐Related Multisystemic Smooth Muscle Dysfunction Syndrome: A Translational Mechanistic and First‐In‐Human Therapeutic Report

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Multisystemic smooth muscle dysfunction syndrome (MSMDS) is an ultra‐rare, ACTA2‐related disorder characterized by severe cerebrovascular disease, aortic aneurysms, and smooth muscle dysfunction. Using molecular dynamics simulations and in silico drug screening, we identified that sapropterin dihydrochloride (Kuvan) is a candidate capable of ...
Moran Hausman‐Kedem, Noa Bielopolski, Vijai Krishnan, Shane Wald‐Altman, Shelly I Shrian, Omer Bar‐Yosef, Livia Kapusta, Claire Shamber, Patricia L. Musolino, Miguel Weil   +9 more
wiley   +1 more source

On Various Modes of Convergence and Notions of Exhaustiveness With Korovkin-Type Theorems

Journal of Mathematics
In this paper, we introduce refined notions related to convergence and exhaustiveness for sequences of functions defined between metric spaces. These include rigid uniform alpha convergence as a strengthened variant of alpha convergence, along with ...
Alper Erdem, Tuncay Tunç
doaj   +1 more source

Triangular Index Ratio as an Alternative Method to the Alpha Angle for Defining the Presence of Cam Morphology: A Prospective Cohort Study

Arthritis Care &Research, EarlyView.
Objective Cam morphology, which is a significant risk factor for hip osteoarthritis, is commonly quantified by the alpha angle (AA). This study aims to explore the potential of the triangular index ratio (TIR) to quantify cam morphology on anteroposterior radiographs by assessing the association between TIR‐defined cam morphology and the development of
Jinchi Tang, Fleur Boel, Michiel M. A. van Buuren, Noortje S. Riedstra, Myrthe A. van den Berg, Jos Runhaar, Sita Bierma‐Zeinstra, Rintje Agricola   +7 more
wiley   +1 more source

Convergence of the Difference Solutions of a Dirichlet Problem With a Discontinuous Derivative of the Boundary Function for a Singularly Perturbed Convection-Diffusion Equation

Моделирование и анализ информационных систем, 2016
We consider a Dirichlet problem for a singularly perturbed convection-diffusion equation with constant coefficients in a rectangular domain in the case when the convection is parallel to the horizontal faces of the rectangular and directed to the right ...
T. Ya. Ershova
doaj   +1 more source

Uniform convergence guarantees for the deep Ritz method for nonlinear problems. [PDF]

Adv Contin Discret Model, 2022
Dondl P, Müller J, Zeinhofer M.
europepmc   +1 more source

Discordance Between Systemic Lupus Erythematosus Disease Activity Index Domain Weights and Their Association With Organ Damage Accrual

Arthritis Care &Research, EarlyView.
Objective Studies of damage accrual in patients with systemic lupus erythematosus (SLE) show associations with disease activity measured by the SLE Disease Activity Index 2000 (SLEDAI‐2K), but these associations are imperfect. SLEDAI scores are powerfully influenced by weightings (1–8) assigned to each domain.
Kevin Zhang, Eric F. Morand, Sarah E. Boyd, François Petitjean, Alberta Hoi, Rachel Koelmeyer, Iolanda Miceli, Julie A. Monk, Hieu T. Nim   +8 more
wiley   +1 more source

Engagement Patterns With an Artificial Intelligence Health Coach for Systemic Sclerosis Self‐Management: A Mixed Methods Study

Arthritis Care &Research, EarlyView.
Objective To evaluate utility of an artificial intelligence (AI) health coach for systemic sclerosis (SSc) self‐management and identify patterns associated with participant engagement. Methods We conducted a mixed methods study in which an AI health coach, powered by a large language model (LLM), was used to support self‐management for SSc.
Nirali Shah, Melanie Morris, Cristina Daraban, Sophia Johnson, Susan L. Murphy   +4 more
wiley   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

On deferred arithmetic statistical convergence

Open Mathematics
In this paper we introduce the notion of deferred arithmetic statistical convergence, which combines the arithmetic approach to convergence with a deferred statistical scheme. After presenting basic examples, we study fundamental structural properties of
Gül Kadir, Aral Nazlım Deniz
doaj   +1 more source