Results 71 to 80 of about 80,580 (235)

High Relative Accuracy Computations With Covariance Matrices of Order Statistics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In many statistical applications, numerical computations with covariance matrices need to be performed. The error made when performing such numerical computations increases with the condition number of the covariance matrix, which is related to the number of variables and the strength of the correlation between the variables. In a recent work,
Juan Baz, Pedro Alonso, Juan Manuel Peña, Raúl Pérez‐Fernández   +3 more
wiley   +1 more source

Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis, Manuel Norman   +1 more
wiley   +1 more source

A Novel Optimized Local Linearization Hybrid Block Method for Chaotic Systems: Applications to Stretch‐Twist‐Fold Flow and Bond Orbital Chaotic Attractors

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley   +1 more source

Shape Derivatives of the Eigenvalues of the de Rham Complex for Lipschitz Deformations and Variable Coefficients: Part II

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this second part of our series of papers, we develop an abstract framework suitable for de Rham complexes that depend on a parameter belonging to an arbitrary Banach space. Our primary focus is on spectral perturbation problems and the differentiability of eigenvalues with respect to perturbations of the involved parameters. As a byproduct,
Pier Domenico Lamberti, Dirk Pauly, Michele Zaccaron   +2 more
wiley   +1 more source

Linear Toroidal‐Inertial Waves on A Differentially Rotating Sphere with Application to Helioseismology: Modeling, Forward and Inverse Problems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen, Damien Fournier, Laurent Gizon, Thorsten Hohage   +3 more
wiley   +1 more source

Faster and More Robust CK Reaction Rate Estimation at 3T Using Acquisition‐Weighted 31P Cardiac 1D‐MRSI With Compartment‐Based Reconstruction

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose Quantification of the creatine kinase (CK) forward reaction rate (kf) in the human heart using phosphorus magnetic resonance spectroscopy is clinically important; however, it is limited by long acquisition times, operator subjectivity in analysis, and potential skeletal muscle contamination.
Aaron Axford, Iveta Pajanová, William D. Watson, Andrew C. Tyler, Roshan Xavier, Ferenc E. Mózes, Oliver J. Rider, Damian J. Tyler, Ladislav Valkovič   +8 more
wiley   +1 more source

A Comprehensive Multistage Average Controller for Trajectory Tracking in Solar‐Powered Mobile Robots: Analysis of Actuator‐Driver and Power Stage Integration

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This work addresses the challenge of bidirectional trajectory tracking in solar‐powered wheeled mobile robots (WMRs), considering the mechanical structure, actuator‐driver, and power stage subsystems. Notably, this is the first study to explicitly model and control the actuator‐driver subsystem within this context. The proposed solution relies
Benjamin Natanael Santiago‐Nogales, Julio Cesar Ordaz‐Dehesa, Ramón Silva‐Ortigoza, Erik Reyes‐Reyes, J. Martín Alba‐Martínez, Juan Eduardo Velázquez‐Velázquez, José Rafael García‐Sánchez, Magdalena Marciano‐Melchor, Hind Taud   +8 more
wiley   +1 more source

Robust Linearization and Eigenvalue Analysis of General Complex Constrained Multibody Systems

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The derivation of linearized equations and subsequent eigenvalue analysis is the basis for tasks such as frequency‐domain response analysis, control design, and stability assessment for mechanical systems. However, for general multibody systems with redundant or nonholonomic constraints, practical challenges persist in achieving numerically ...
Zhiwen Xiao, Gexue Ren
wiley   +1 more source

Prospective Middle School Mathematics Teachers’ Awareness of Students’ Errors regarding the Use of Letters in Algebra and Algebraic Operations [PDF]

Journal of Qualitative Research in Education, 2019
Rabiya Amaç, Makbule Gözde Didiş Kabar   +1 more
openaire   +1 more source

Uncertainty, Sensitivity, and Efficiency Analysis of a Hybrid Piezoelectric–Electromagnetic Energy Harvester

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Digitalization and emerging technologies are increasing the demand for wireless sensing and the Internet of Things (IoT), which provide opportunities for autonomous sources of electricity in the form of energy harvesting systems. This paper focuses on the challenges in hybrid piezoelectric‐electromagnetic kinetic energy harvesting systems that
Petr Sosna, Damian Gaska, Zdeněk Hadaš
wiley   +1 more source