Results 131 to 140 of about 235,552 (326)

Bernoulli Polynomials in Several Variables and Summation of Monomials over Lattice Points of a Rational Parallelotope

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2016
The Bernoulli polynomials for natural x were first considered by J.Berno\-ulli (1713) in connection with the problem of summation of the powers of consecutive positive integers. For arbitrary $x$ these polynomials were studied by L.Euler.
O. Shishkina
doaj  

Microscopic Insights into Magnetic Warping and Time‐Reversal Symmetry Breaking in Topological Surface States of Rare‐Earth‐Doped Bi2Te3

open access: yesAdvanced Materials, EarlyView.
Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano   +18 more
wiley   +1 more source

A new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type

open access: yesAIMS Mathematics
In this paper, we consider a new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type, denoted by $ \mathcal{W}^{(\alpha)}_{n, \lambda}(\delta, \zeta; \rho; \mu) $.
Ugur Duran   +3 more
doaj   +1 more source

Computation of Difference Grobner Bases [PDF]

open access: yesComputer Science Journal of Moldova, 2012
This paper is an updated and extended version of our note \cite{GR'06} (cf.\ also \cite{GR-ACAT}). To compute difference \Gr bases of ideals generated by linear polynomials we adopt to difference polynomial rings the involutive algorithm based on Janet ...
Vladimir P. Gerdt, Daniel Robertz
doaj  

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

open access: yesAdvanced 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   +8 more
wiley   +1 more source

Mechanoluminescent Aluminum Nitride Crystal for Super‐Sensitive Optical Manometry, Thermometry and Force Sensing

open access: yesAdvanced Materials, EarlyView.
This study reports the first discovery of intrinsic mechanoluminescence in undoped AlN crystals, accompanied by pronounced photoluminescence and persistent luminescence. It further demonstrates a defect‐emission–driven multifunctional optical sensing platform for force, pressure, and temperature detection, achieving exceptional sensitivities.
Teng Zheng   +11 more
wiley   +1 more source

Soft and Strong: Elastic Conductors with Bio‐Inspired Self‐Protection

open access: yesAdvanced Materials, EarlyView.
A general reverse‐engineering approach is demonstrated for designing functional yarns that uses woven fabric architecture as a structural framework. The fabric‐based stretchable conductive yarns combine flexibility, high elasticity, low stiffness, self‐protection, and weavability with conventional textile processes. By fine‐tuning the number of elastic
Chenglong Zhang   +12 more
wiley   +1 more source

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