Results 71 to 80 of about 2,869,605 (252)

Inequalities for the generalized trigonometric functions with respect to weighted power mean

Demonstratio Mathematica
The generalized trigonometric functions occur as an eigenfunction of the Dirichlet problem for the one-dimensional pp-Laplacian. In this study, the authors investigate some weighted power mean inequalities for the pp-generalized trigonometric functions ...
Zhong Genhong, Ma Xiaoyan
doaj   +1 more source

A mathematical model of knee joint line orientation: Independent effects of femoral and tibial coronal anatomy and limits on achieving a horizontal joint line

Knee Surgery, Sports Traumatology, Arthroscopy, EarlyView.
Abstract Purpose Natural knee joint line orientation (JLO) relative to the ground remains poorly understood. A JLO parallel to the floor is commonly assumed to favour balanced medial‐lateral compartment loading, but the independent influence of femoral and tibial coronal anatomy on JLO during bipodal and single‐limb stance has not been quantified. This
Gautier Beckers, Mathias Hengartner, Marin Lavigne, Marc‐Olivier Kiss, Vincent Massé, Pascal‐André Vendittoli   +5 more
wiley   +1 more source

Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions

Journal of Inequalities and Applications, 2016
In this paper, we present Shafer-type inequalities for inverse trigonometric functions and Gauss lemniscate functions.
Jun-Ling Sun, Chao-Ping Chen
doaj   +1 more source

Breaking Extrapolation Barriers: Dual Innovations for Property and Component Design of Multi‐Component Alloy

Materials Genome Engineering Advances, EarlyView.
This study breaks extrapolation barriers in alloy design by merging symbolic regression with latent space sampling. The dual‐strategy framework enables accurate prediction of high‐hardness properties and navigates uncharted compositional spaces. The approach successfully designs novel high‐entropy alloys with hardness exceeding 863.5 HV, demonstrating ...
Zhigang Yu, Boyu Zhao, Jianhua Chen, Jun Luan, Yunying Fan, Xingli Zou, Xionggang Lu   +6 more
wiley   +1 more source

Dynamic Performance Enhancement of a High‐Agility Hypersonic Mechanical System via a Learning‐Augmented Robust Control Architecture

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The design of control systems for high‐agility mechanical systems operating in extreme environments is a significant challenge in nonlinear dynamics. This paper addresses the complex dynamic control problem of a hypersonic interceptor, modeled as a multi‐input multi‐output (MIMO) mechanical system characterized by strong aerodynamic cross ...
Mohammad Mahdi Soori, Seyed Hossein Sadati   +1 more
wiley   +1 more source

A novel distributional approach based on the trigonometric function with medical data sets

Alexandria Engineering Journal
Statistical methods have widespread applications in real-life scenarios. Researchers have expressed keen interest in implementing different functions to raise new probability distributions.
Yusra A. Tashkandy, Assem Elshenawy, Getachew Mekiso Tekle, M.E. Bakr, Oluwafemi Samson Balogun   +4 more
doaj   +1 more source

Gradient‐ and Newton‐Based Unit Vector Extremum Seeking Control

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper proposes new methods for stable and efficient convergence in multivariable extremum seeking control (ESC) using sliding mode techniques. Inspired by classical sliding modes and finite‐time control, the approach integrates these ideas into gradient‐ and Newton‐based ESC schemes with sinusoidal perturbations.
Roberto Luo, Victor Hugo Pereira Rodrigues, Tiago Roux Oliveira, Miroslav Krstic   +3 more
wiley   +1 more source

Approximating trigonometric functions by using exponential inequalities

Journal of Inequalities and Applications, 2019
In this paper, some exponential inequalities are derived from the inequalities containing trigonometric functions. Numerical examples show that one can achieve much tighter bounds than those of prevailing methods, which are presented by Cusa, Huygens ...
Xiao-Diao Chen, Junyi Ma, Yixin Li
doaj   +1 more source

Impulsive Thruster Control for Spacecraft Docking: A Lyapunov Approach

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this work, we propose a novel discontinuous impulsive controller for nonlinear systems that admit continuous‐time stabilizing controllers. Specifically, we develop a technique for generating discrete control pulses of short duration based on the Lyapunov candidate function associated with a continuous‐time controller. Our method uses a real‐
Xun Liu, Hashem Ashrafiuon, Sergey G. Nersesov   +2 more
wiley   +1 more source

Identities involving trigonometric, zeta and partition functions [PDF]

Using well-known trigonometric functions, we establish identities involving the multiple zeta function and the multiple lambda function. Furthermore, we derive new identities by applying classical trigonometric relations.
Da Silva, Robson, Santos, Wagner Ferreira, Alegri, Mateus   +2 more
core   +2 more sources