Results 41 to 50 of about 3,305 (304)

An extension of the method of brackets. Part 1

Open Mathematics, 2017
The method of brackets is an efficient method for the evaluation of alarge class of definite integrals on the half-line. It is based on a small collection of rules, some of which are heuristic.
Gonzalez Ivan, Kohl Karen, Jiu Lin, Moll Victor H.   +3 more
doaj   +1 more source

White Matter Microstructural Abnormalities in Neonatal Onset Genetic Epilepsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Recent evidence indicates that epilepsy is associated with abnormal white matter. If seizures alter white matter, then the impact upon network function, epileptogenesis, and cognition could be pronounced in neonates undergoing rapid developmental myelination. Neonates with epilepsy due to nonstructural genetic causes provide a unique
Amanda G. Sandoval Karamian, Tianjia Zhu, Hao Huang, Shavonne L. Massey, Mark P. Fitzgerald, Darshana Parikh, Arastoo Vossough, Ingo Helbig, Nicholas S. Abend   +8 more
wiley   +1 more source

Construction of Lyapunov functions from first integrals for stochastic stability analysis

Applied and Computational Mechanics
This paper explores the application of first integrals in constructing Lyapunov functions for stability analysis of dynamical systems in stochastic domains. A key advantage of using first integrals is their ability to embed system-specific structural and
Náprstek J., Fischer C.
doaj   +1 more source

FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTION

Проблемы анализа, 2020
The aim of this paper is to establish general definite integrals involving product of the Aleph function and the generalized Mittag-Leffler function with general arguments. This integral yields a number of known results as special cases.
D. Kumar, F. Y. Ayant, A. Singh, P. K. Banerji   +3 more
doaj   +1 more source

Novel Identities of Bernoulli Polynomials Involving Closed Forms for Some Definite Integrals

, 2022
This paper presents new results of Bernoulli polynomials. New derivative expressions of some celebrated orthogonal polynomials and other polynomials are given in terms of Bernoulli polynomials.
Waleed Mohamed Abd-Elhameed, Amr Kamel Amin   +1 more
core   +1 more source

Does Long‐Term Lower Extremity Strength Training in Adults With Knee Osteoarthritis and Varus Alignment Reduce Knee Joint Loading During Gait?

Arthritis Care &Research, EarlyView.
Objective We examined whether 18 months of strength training in individuals with knee varus alignment and medial tibiofemoral osteoarthritis (OA) reduced knee joint loads during walking compared to an attention control group. Methods This study was a secondary analysis of a randomized clinical trial that compared the effects of strength training to a ...
Stephen P. Messier, Matthew N. Vigliotti, Paige E. Rice, Brian Pietrosimone, Shannon L. Mihalko, Edward H. Ip, Richard F. Loeser, David J. Hunter, Ali Guermazi, Ryan Hill, Santiago Saldana, Kim L. Bennell, Paul DeVita   +12 more
wiley   +1 more source

On Convolved Fibonacci Polynomials

Mathematics
This work delves deeply into convolved Fibonacci polynomials (CFPs) that are considered generalizations of the standard Fibonacci polynomials. We present new formulas for these polynomials. An expression for the repeated integrals of the CFPs in terms of
Waleed Mohamed Abd-Elhameed, Omar Mazen Alqubori, Anna Napoli   +2 more
doaj   +1 more source

Relation of the Cyclotomic Equation with the Harmonic and Derived Series

The Scientific World Journal, 2015
We associate some (old) convergent series related to definite integrals with the cyclotomic equation xm-1=0, for several natural numbers m; for example, for m=3, x3-1=(x-1)(1+x+x2) leads to ∫01dx(1/(1+x+x2))=π/(33)=(1-1/2)+(1/4-1/5)+(1/7-1/8)+⋯.
Luis J. Boya, Cristian Rivera
doaj   +1 more source

Conditionally Positive Definite Functions and Laplace-Stieltjes Integrals

, 1993
In this paper, we characterize those functions that are conditionally positive definite on Euclidean spaces Rd for all d = 1, 2, ..., as certain Laplace-Stielties ...
Sun, X., Guo, K., Hu, S.
core   +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