Results 101 to 110 of about 250,497 (280)

Some Algebra of Newton Polynomials

Rocky Mountain Journal of Mathematics, 1998
For each positive integer \(k\), let \(N_k\) be the Newton symmetric polynomial in two variables \(x^k+y^k\). Let \(S\) be the subfield of \({\mathbb{Q}}(x,y)\) consisting of the symmetric rational functions. For \(a\neq b\), the authors determine the degree \([S:{\mathbb{Q}}(N_a,N_b)]\).
Mead, D.G., Stein, S.K.
openaire   +2 more sources

Analysis of a Novel Time‐Continuous Dimer Growth Model Describing One Possible Cause of Alzheimer's Disease and a Time‐Discretization for Its Numerical Simulation

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Because oligomers of the amyloid‐β$$ \beta $$ (Aβ$$ A\beta $$) protein can possibly be regarded as one main cause for progressive development of Alzheimer's disease, different mathematical models for its emergence have been proposed by different scientific groups.
Benjamin Wacker
wiley   +1 more source

T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma, Aniket Banerjee, Rana D. Parshad   +2 more
wiley   +1 more source

On the algebraic properties of difference approximations of Hamiltonian systems

Discrete and Continuous Models and Applied Computational Science
In this paper, we examine difference approximations for dynamic systems characterized by polynomial Hamiltonians, specifically focusing on cases where these approximations establish birational correspondences between the initial and final states of the ...
Lyubov O. Lapshenkova, Mikhail D. Malykh, Elena N. Matyukhina   +2 more
doaj   +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

On the Degree of Best Approximation of Unbounded Functions by Algebraic Polynomial

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
  In this paper we introduce a new class of degree of best algebraic approximation polynomial Α,, for unbounded functions in weighted space Lp,α(X), 1 ∞ .We shall prove direct and converse theorems for best algebraic approximation in terms modulus ...
Alaa A. Auad
doaj  

REGULARIZATION OF POLYNOMIALS IN ALGEBRAIC AND ALMOST ALGEBRAIC OPERATORS

Demonstratio Mathematica, 1984
Let X be a unital algebra over the complex field. The author considers regularization of polynomials in algebraic and almost algebraic elements. \[ A(s)=\sum^{N-1}_{i=0}A_ iS^ i \] where \(S\in X\) and the coefficients \(A_ i\) satisfy the condition that for every i, (0\(\leq i\leq N-1)\) there exist \(A_{ij}\in X\) for which \(S^ jA_ i-A_{ij}S^ j\) \((
openaire   +2 more sources

Free Vibration of Hemp Fiber‐Reinforced Laminated Composite Curved Beams Using Generalized Differential Quadrature Method

Polymer Composites, EarlyView.
Schematic representation of hemp‐, glass‐, and carbon‐based laminated composite curved beams, including different stacking sequences and their vibration response. ABSTRACT In recent years, increasing environmental awareness has stimulated growing interest in natural fiber‐reinforced composites (NFRCs) due to their eco‐friendly composition ...
Aykut Çetin, Hasan Kurtaran
wiley   +1 more source

Quasi-equivalence of Heights and Runge's Theorem

, 2016
Let $P$ be a polynomial that depends on two variables $X$ and $Y$ and has algebraic coefficients. If $x$ and $y$ are algebraic numbers with $P(x,y)=0$, then by work of N\'eron $h(x)/q$ is asymptotically equal to $h(y)/p$ where $p$ and $q$ are the partial
Habegger, P.
core  

Sliding Mode Control in Aerospace Applications: A Survey

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT Sliding mode control (SMC) enjoys robustness to matched and unmatched (in the case of minimum phase input‐output dynamics) bounded perturbations, and finite time convergence. Second‐order and higher‐order sliding mode control systems (2‐SMC/HOSMC) retain all the advantages of sliding mode control, but in addition can be applied to systems of ...
Yuri Shtessel, Christopher Edwards
wiley   +1 more source