Results 81 to 90 of about 302,926 (303)

Critical Periods of Perturbations of Reversible Rigidly Isochronous Centers

Abstract and Applied Analysis, 2013
We study the problem of bifurcation of critical periods of a time-reversible polynomial system of degree n. We first present a new method to find the number of zeros of the period function.
Jiamei Zhou, Na Li, Maoan Han
doaj   +1 more source

The numerical radius and bounds for zeros of a polynomial

, 2020
Let p(t) be a monic polynomial. We obtain two bounds for zeros of p(t) via the Perron root and the numerical radius of the companion matrix of the ...
Chien M., Yeh L., Alpin Y.
core  

Spin Transport Across Interfaces With the Non‐Collinear Antiferromagnet Mn3Sn

Advanced Materials, EarlyView.
We study spin transport with Mn3Sn|Metal${\rm Mn}_3{\rm Sn}\vert{\rm Metal}$ heterostructures. For Mn3Sn|Pt${\rm Mn}_3{\rm Sn}\vert{\rm Pt}$ heterostructures, ultrafast spin current generation by optical pumping of Mn3Sn${\rm Mn}_3{\rm Sn}$ is explored, while for Mn3Sn|NiFe${\rm Mn}_3{\rm Sn}\vert{\rm NiFe}$ heterostructures, we probe the spin–charge ...
Paul A. Marschall, Wolfgang Hoppe, Prajwal Rigvedi, Börge Göbel, Franziska Ziolkowski, Samir Lounis, Banabir Pal, Stuart S. P. Parkin, Georg Woltersdorf   +8 more
wiley   +1 more source

Polynomials with Symmetric Zeros

, 2019
Polynomials whose zeros are symmetric either to the real line or to the unit circle are very important in mathematics and physics. We can classify them into three main classes: the self-conjugate polynomials, whose zeros are symmetric to the real line; the self-inversive polynomials, whose zeros are symmetric to the unit circle; and the self-reciprocal
openaire   +3 more sources

On the Zeros of Plane Partition Polynomials [PDF]

The Electronic Journal of Combinatorics, 2012
Let $PL(n)$ be the number of all plane partitions of $n$ while $pp_k(n)$ be the number of plane partitions of $n$ whose trace is exactly $k$. We study the zeros of polynomial versions $Q_n(x)$ of plane partitions where $Q_n(x) = \sum pp_k(n) x^k$. Based on the asymptotics we have developed for $Q_n(x)$ and computational evidence, we determine the ...
Robert P. Boyer, Daniel T. Parry
openaire   +3 more sources

Ionic Gating of Liquid‐Crystal‐Like Pteridine Assemblies Enables Tunable Light Scattering

Advanced Materials, EarlyView.
Tunable optical properties emerge through developmentally regulated ionic gating, which transforms disordered, ultraviolet (UV)‐absorbing organelles into concentrically ordered, liquid‐crystal‐like light scatterers. By integrating analyses of pteridine composition, potassium‐dependent assembly, hierarchical ultrastructure, and optical behavior, the ...
Sourabh Bera, Zohar Eyal, Yael Noy, Yuval Barzilay, Siddharth Sahoo, Srikant Moharana, Avi Baram, Tali Lerer‐Goldshtein, Neta Varsano, Bar Bader, Lothar Houben, Uwe Heinig, Iddo Pinkas, Moshe Goldsmith, Tamar Unger, Shira Albeck, Andrea Sorrentino, Maxim Itkin, Sergey Malitsky, Ziv Porat, Ido Hadar, Venkata Jayasurya Yallapragada, Dvir Gur   +22 more
wiley   +1 more source

Zeros of Jones Polynomials of Graphs

The Electronic Journal of Combinatorics, 2015
In this paper, we introduce the Jones polynomial of a graph $G=(V,E)$ with $k$  components as the following specialization of the Tutte polynomial:$$J_G(t)=(-1)^{|V|-k}t^{|E|-|V|+k}T_G(-t,-t^{-1}).$$We first study its basic properties and determine certain extreme coefficients.
Fengming Dong, Xian'an Jin
openaire   +2 more sources

Some Inequalities on Polynomials in the Complex Plane Concerning a Linear Differential Operator

Journal of Mathematics
In this paper, we consider new extremal problems in the uniform norm between a univariate complex polynomial and its associated reciprocal polynomial involving a generalized B-operator.
Mayanglambam Singhajit Singh, Madhav Prasad Poudel, Barchand Chanam   +2 more
doaj   +1 more source

Epitaxially Integrated Electro‐Optic KNbO3 Thin Films on Silicon

Advanced Materials, EarlyView.
We demonstrate the first epitaxial integration of electro‐optic KNbO3 thin films on silicon using suboxide molecular‐beam epitaxy. Combining adsorption‐controlled molecular‐beam epitaxy, advanced characterization, and phase‐field modeling, we demonstrate phase‐pure crystalline films mirroring bulk crystals with robust Pockels response, enabling future ...
Sankalpa Hazra, Tobias Schwaigert, Yingxin Zhu, Aiden Ross, Muhammad Aminul Haque Chowdhury, Shun‐Li Shang, Sameer Singh, Zhiyu Zhang, Zhe Wang, Brynn Brower, Saugata Sarker, Suchismita Sarker, Zi‐Kui Liu, Rama K. Vasudevan, Long‐Qing Chen, Yang Yang, Darrell G. Schlom, Venkatraman Gopalan   +17 more
wiley   +1 more source

Inequalities Concerning the Growth of Polynomials

Sultan Qaboos University Journal for Science
In this paper we consider a polynomial having no zeros in the disk . We investigate the dependence of on and obtain a refinement of a famous result due to Rivilin ([5], [7]). Our results not only generalize some polynomial inequalities but also refine
Bashir A.Zargar, Ahmad W.Manzoor
doaj   +1 more source