Results 61 to 70 of about 34,271 (206)
The Galois theory of the lemniscate [PDF]
This article studies the Galois groups that arise from division points of the lemniscate. We compute these Galois groups two ways: first, by class field theory, and second, by proving the irreducibility of lemnatomic polynomials, which are analogs of ...
Cox, David A., Hyde, Trevor
core
ABSTRACT This study presents a polynomial‐based wind speed profile characterization framework that approximates full vertical profiles using five physically meaningful Chebyshev polynomial coefficients. The framework captures key morphological features of wind profiles, including mean wind speed, vertical shear, curvature, inflection‐related behavior ...
Harish Baki, Sukanta Basu
wiley +1 more source
This study develops a superconvergent meshless method to analyze and control vibrations in twisted, bidirectional functionally graded Terfenol‐D beams. By optimizing magnetostrictive patch placement, it demonstrates effective vibration suppression under dynamic loads, highlighting the design potential of strategically graded materials in complex ...
Mukund A. Patil +2 more
wiley +1 more source
Conventional Ni‐cermet fuel electrodes in solid oxide fuel cells (SOFC) suffer from poor tolerance toward sulfur impurities. Here, Ni‐free perovskite‐based SrFe0.75Mo0.25O3−δ (SFM)/Ce0.9Gd0.1O2−δ (CGO) fuel electrodes are investigated with and without trace hydrogen sulfide addition.
Matthias Riegraf +3 more
wiley +1 more source
A Refined Graph Container Lemma and Applications to the Hard‐Core Model on Bipartite Expanders
ABSTRACT We establish a refined version of a graph container lemma due to Galvin and discuss several applications related to the hard‐core model on bipartite expander graphs. Given a graph G$$ G $$ and λ>0$$ \lambda >0 $$, the hard‐core model on G$$ G $$ at activity λ$$ \lambda $$ is the probability distribution μG,λ$$ {\mu}_{G,\lambda } $$ on ...
Matthew Jenssen +2 more
wiley +1 more source
A native starch was extracted from ryegrass (Lolium multiflorum L.), yielding a high‐purity product with a significant starch content. The starch exhibited type A and V crystallinity, with a mean particle size (D50) ~7 nm, high swelling power, and low retrogradation tendency.
Thaís Silveira Pimenta +10 more
wiley +1 more source
Complex Factorizations of the Lucas Sequences via Matrix Methods
Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices. Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev ...
Honglin Wu
doaj +1 more source
Chebyshev polynomials and their some interesting applications
The main purpose of this paper is by using the definitions and properties of Chebyshev polynomials to study the power sum problems involving Fibonacci polynomials and Lucas polynomials and to obtain some interesting divisible properties.
Chen Li, Zhang Wenpeng
doaj +1 more source
Assessment of the Generation of Traveling Ionospheric Disturbances by Solar Terminators
Abstract The generation of traveling ionospheric disturbances (TIDs) near solar terminators has been predicted, and several studies have reported the detection of TIDs associated with sunrise. However, there are also observations that do not show TID signatures at sunrise.
Hyosub Kil +5 more
wiley +1 more source
Generalized Chebyshev Polynomials
Let h(x) be a non constant polynomial with rational coefficients. Our aim is to introduce the h(x)-Chebyshev polynomials of the first and second kind Tn and Un. We show that they are in a ℚ-vectorial subspace En(x) of ℚ[x] of dimension n.
Abchiche Mourad, Belbachir Hacéne
doaj +1 more source

