Results 81 to 90 of about 7,176 (304)

On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel

open access: yesFractal and Fractional
Traditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
doaj   +1 more source

Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics

open access: yesAdvanced Materials, EarlyView.
The review discusses the challenges of wide and ultrawide bandgap semiconducting oxides as a suitable material platform for photonics. They offer great versatility in terms of tuning microstructure, native defects, doping, anisotropy, and micro‐ and nano‐structuring. The review focuses on their light emission, light‐confinement in optical cavities, and
Ana Cremades   +7 more
wiley   +1 more source

Chaotic roots of the modular multiplication dynamical system in Shor's algorithm

open access: yesPhysical Review Research
Shor's factoring algorithm, believed to provide an exponential speedup over classical computation, relies on finding the period of an exactly periodic quantum modular multiplication operator. This exact periodicity is the hallmark of an integrable system,
Abu Musa Patoary   +3 more
doaj   +1 more source

Additive Manufacturing of Molecular Architecture Encoded Stretchable Polyethylene Glycol Hydrogels and Elastomers

open access: yesAdvanced Materials, EarlyView.
Bottlebrush molecular architecture prevents the crystallization of high molecular weight polyethylene glycol (PEG) based polymers, enabling highly stretchable photocurable PEG hydrogels and elastomers for high‐performance conductive solvent‐free electrolytes at room temperature and for additive manufacturing of complex architectures and multi‐material ...
Baiqiang Huang   +5 more
wiley   +1 more source

Lattice of $E$-closed Classes of Multifunctions of Rank 2

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
Multifunctions are discrete functions defined on a finite set and returning as their values all subsets of the considered set. The paper considers the classification of multifunctions defined on a two-element set with respect to the E-closure operator ...
B. P. Ilyin, V.I. Panteleev
doaj   +1 more source

Superposition operator in Sobolev spaces on domains [PDF]

open access: yesProceedings of the American Mathematical Society, 2000
For an arbitrary open set Ω ⊂ R n \Omega \subset \mathbb {R}^n we characterize all functions G G on the real line such that G ∘ u ∈ W 1 , p (
openaire   +2 more sources

Atomistic Mechanisms Triggered by Joule Heating Effects in Metallic Cu‐Bi Nanowires for Spintronics

open access: yesAdvanced Materials, EarlyView.
Bi doped metallic Cu nanowires are promising for spintronics thanks to the stabilization of a giant spin Hall effect. However, heat resulting from current injection forces Bi to leave solution, forcing segregation into monoatomic decorations which evolve into coherent crystalline aggregates.
Alejandra Guedeja‐Marrón   +6 more
wiley   +1 more source

A linear test for global nonlinear controllability

open access: yesComptes Rendus. Mathématique
It is known that if a nonlinear control affine system without drift is bracket generating, then its associated sub-Laplacian is invertible under some conditions on the domain. In this note, we investigate the converse.
Elamvazhuthi, Karthik
doaj   +1 more source

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