Results 101 to 110 of about 9,252,756 (359)
Differential-difference properties of hypergeometric polynomials [PDF]
Mathematics of Computation, 1975 We develop differential-difference properties of a class of hypergeometric polynomials which are a generalization of the Jacobi polynomials. The formulas are analogous to known formulas for the classical orthogonal polynomials.
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Advanced Materials, EarlyView.AI‐Assisted Workflow for (Scanning) Transmission Electron Microscopy: From Data Analysis Automation to Materials Knowledge Unveiling. Abstract (Scanning) transmission electron microscopy ((S)TEM) has significantly advanced materials science but faces challenges in correlating precise atomic structure information with the functional properties of ...
Marc Botifoll +19 more
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Certain properties and characterizations of a novel family of bivariate 2D-q Hermite polynomials
Open MathematicsThis study presents a novel family of bivariate 2D-qq Hermite polynomials. We derive explicit forms and qq-partial differential equations and investigate numerical aspects associated with these polynomials.
Wani Shahid Ahmad +2 more
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MethodsX, 2020 When looking at a sequence of numbers, one that can be defined by a polynomial function of a natural number degree, one most commonly would use a difference table to find the degree followed by a system of equations to find the equation that models the ...
Rithvik Ravikumar
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The zeros of q-shift difference polynomials of meromorphic functions
, 2012 In this paper, we investigate the value distribution of difference polynomials f(z)nf(qz+c) and fn(z)+a[f(qz+c)−f(z)] related to two well-known differential polynomials, where f(z) is a meromorphic function with finite logarithmic order.MSC:30D35, 39B12.
Junfeng Xu, Xiao-Bin Zhang
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Advanced 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
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Weighted Means of B-Splines, Positivity of Divided Differences, and Complete Homogeneous Symmetric Polynomials [PDF]
, 2020 Albrecht Boettcher +3 more
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Polynomials, Divided Differences, and Codes
Proceedings of Innovations in Theoretical Computer Science Conference (ITCS)Multivariate multiplicity codes (Kopparty, Saraf, and Yekhanin, J. ACM 2014) are linear codes where the codewords are described by evaluations of multivariate polynomials (with a degree bound) and their derivatives up to a fixed order, on a suitably chosen affine point set.
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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 +8 more
wiley +1 more source
Moth‐Wing‐Inspired Multifunctional Metamaterials
Advanced Materials, EarlyView.This study develops a moth‐wing‐inspired heterogeneous metamaterial that achieves synergistic broadband sound absorption, mechanical energy dissipation, and thermal insulation within a lightweight architected framework. Combining bioinspired gradient design, genetic‐algorithm optimization, and additive manufacturing, the bionic heterogeneous acoustic ...
Haoran Pei +12 more
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