Results 31 to 40 of about 3,395 (238)

Chiral Acoustic Phonon and Conservation of Pseudoangular Momentum in α‐Quartz

Advanced Materials, EarlyView.
Chiral acoustic phonons in α‐quartz are probed via Brillouin light scattering, exploiting the photon's helicity and the crystal's handedness. The interaction obeys a selection rule arising from pseudoangular momentum conservation, enabling direct optical access to phonon chirality in nonsymmorphic crystals.
Changsoo Kim, In‐Kook Hwang, Kyoung‐Woong Moon, Kyongmo An, Kyung‐Jin Lee, Jae‐Hyeon Ko, Byong‐Guk Park, Kwang‐Yong Choi, Chanyong Hwang   +8 more
wiley   +1 more source

Asymmetry of the Ferroelectric Phase Transition in BaTiO3

Advanced Materials, EarlyView.
Phase transitions are typically assumed to behave identically in forward and reverse. This work shows that in the ferroelectric material barium titanate this is not true: heating drives an abrupt, first‐order jump, while cooling gives a smooth, continuous change.
Asaf Hershkovitz, Elangovan Hemaprabha, Rajesh Mandal, Pravin Kavle, Jamil Tanus, Maya Barzilay, Ching‐Che Lin, David Spirito, Semën Gorfman, Bo Wang, Ignacio J. Villar‐García, Neus Domingo, Long‐Qing Chen, Lane W. Martin, Yachin Ivry   +14 more
wiley   +1 more source

Upper Bounds of the Complexity of Functions over Finite Fields in Some Classes of Kroneker Forms

Известия Иркутского государственного университета: Серия "Математика", 2015
Polynomial representations of Boolean functions have been studied well enough. Recently, the interest to polynomial representations of functions over finite fields and over finite rings is being increased.
A.S. Baliuk, G.V. Yanushkovsky
doaj  

Inequalities for the Polar Derivative of a Polynomial

Journal of Inequalities and Applications, 2009
In this paper we obtain new results concerning maximum modulus of the polar derivative of a polynomial with restricted zeros. Our results generalize and refine upon the results of Aziz and Shah [An integral mean estimate for polynomial, Indian J. Pure Appl. Math.
M. Bidkham, M. Shakeri, M. Eshaghi Gordji   +2 more
openaire   +4 more sources

Topology of complex polynomials via polar curves [PDF]

Kodai Mathematical Journal, 1999
The authors consider the global polar curves associated with an affine smooth hypersurface \(F\) in \(\mathbb{C}^n\). If \(f\in \mathbb{C}[x_1, \dots,x_n]\) is a polynomial such that the fiber \(F_t:= f^{-1}(t)\) is smooth and connected, the main result computes the Euler characteristic \(\chi(F_t)\) of \(F_t\) in terms of the polar invariants of the ...
Cassou-Noguès, Pierrette, Dimca, Alexandru   +1 more
openaire   +3 more sources

Triggered Ferroelectricity in HfO2 From Hybrid Phonons and Higher‐Order Dynamical Charges

Advanced Materials, EarlyView.
We combine first‐principles calculations, LGD theory and group theory to demonstrate the mechanism of hybrid‐triggered ferroelectricity in HfO2${\rm HfO}_2$, enabled by trilinear and quadlinear couplings between stable polar and nonpolar modes. HfO2${\rm HfO}_2$ hosts unconventional interplay between structure modes where substantial contribution to ...
Seongjoo Jung, Turan Birol
wiley   +1 more source

On upper bounds of the complexity of functions over nonprime finite fields in some classes of polarized polynomials

Известия Иркутского государственного университета: Серия "Математика", 2016
Recently, the interest to polynomial representations of functions over finite fields and over finite rings is being increased. Complexity of those representations is widely studied.
A. Kazimirov, S. Reymerov
doaj  

PearSAN: A Machine Learning Method for Inverse Design Using Pearson Correlated Surrogate Annealing

Advanced Optical Materials, EarlyView.
A machine learning–assisted inverse design framework is introduced to overcome the curse of dimensionality in complex nanophotonic design problems. By leveraging Pearson‐correlated surrogate annealing (PearSAN) method within a generative latent space, rapid convergence toward optimal thermophotovoltaic metasurface designs is achieved, enabling precise ...
Michael Bezick, Blake A. Wilson, Vaishnavi Iyer, Yuheng Chen, Vladimir M. Shalaev, Sabre Kais, Alexander V. Kildishev, Brad Lackey, Alexandra Boltasseva   +8 more
wiley   +1 more source

Lower Bound of the Complexity of Functions over Finite Field of Order 4 in the Class of Polarized Polynomials

Известия Иркутского государственного университета: Серия "Математика", 2016
The representations, including polynomial, of functions over final fields have been actively investigated. The complexity of such representations is the main stream of research.
A. Baliuk, A.S. Zinchenko
doaj  

Inequalities for the Polar Derivative of a Polynomial [PDF]

Abstract and Applied Analysis, 2012
For a polynomial p(z) of degree n, we consider an operator Dα which map a polynomial p(z) into Dαp(z): = (α − z)p′(z) + np(z) with respect to α. It was proved by Liman et al. (2010) that if p(z) has no zeros in |z | < 1, then for all α,   β ∈ ℂ with |α | ≥ 1,    | β | ≤ 1 and |z | = 1, |zDαp(z) + nβ((|α | − 1)/2)p(z)|≤(n/2){[|α + β((|α | − 1 ...
openaire   +4 more sources