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L^p inequalities for polar derivatives of polynomials [PDF]
Mathematical Inequalities & Applications, 2000 Let \(p(z)=a_0+a_1z+ \cdots+ a_nz^n\) be a polynomial of degree \(n\) and let for fixed \(\alpha\in\mathbb{C}\) \[ D_\alpha p(z):= np(z)+(\alpha-z)p'(z) \] denote the polar derivative of \(p(z)\) with respect to \(\alpha\). In this paper some inequalities for such polar derivatives are presented. In particular it is proved: Theorem.
Govil, N. K., Nyuydinkong, G.
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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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Switchable Magnonic Crystals Based on Spin Crossover/CrSBr Heterostructures
Advanced Materials, EarlyView.Multiscale modeling is employed to investigate the functionality of a light‐controlled, tunable magnonic crystal based on spin‐crossover Fe‐pz molecules integrated with a monolayer of CrSBr. Ab initio simulations confirm that the molecules remain functional on the CrSBr surface, while a semiclassical elastic model demonstrates that light‐induced ...
Andrei Shumilin +4 more
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Space‐Time Coding Conformal Metasurfaces for Multifrequency Beam Steering and Shaping
Advanced Materials, EarlyView.Space‐time coding conformal metasurfaces enable dynamic wave control on curved surfaces by combining programmable spatial patterns with temporal modulation. This study shows that a single conformal aperture can independently manipulate multiple frequency components, achieving multifunctional beam shaping and steering, with implications for ...
Filippo Pepe +8 more
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IEEE Access, 2018 Compact Polarimetry has gained significant importance in recent years among other earth observation missions due to its low power consumption, simple architecture, and larger swath width. For space-based SAR systems, these parameters are vital to monitor
Kiran Dasari, Anjaneyulu Lokam
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Navigating Lipid Nanostructure Design Space Through Continuous Microfluidic Automation
Advanced Materials, EarlyView.LipidXplorer is a novel microfluidic platform which enables rapid navigation of lipid particle design space for high‐resolution phase mapping, lipid nanoparticle optimization, membrane biophysics, and functional nanomaterial discovery. It combines programmable composition control, continuous nanoparticle formation, and automated well‐plate collection ...
Bradley Diggines +10 more
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A Hybrid Computational Framework for PCF‐based SPR Sensor With Machine Learning and xAI
Advanced Materials Interfaces, EarlyView.A photonic crystal fiber‐based surface plasmon resonance (SPR) sensor integrating rectangular air holes along with conventional circular air holes achieves exceptional wavelength sensitivity of 15,000 nm/RIU across a broad refractive index range of 1.31–1.39. Integrated machine learning with explainable AI (xAI) models achieves high prediction accuracy
Mahabur Rahman Fahim +3 more
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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
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Advanced Materials Technologies, EarlyView.Milled polycrystalline NMC811 cathode (MPC NMC) with smaller secondary particle and higher surface area had 1) greater cathode tortuosity, 2) reduced surface Ni on the cycled MPC cathodes consistent with surface reconstruction, and 3) increased Ni deposition from cathode‐anode crosstalk, manifesting in lower functional capacity and higher impedance ...
Edelmy J. Marin Bernardez +22 more
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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
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