Results 71 to 80 of about 1,325 (265)
The Elliptic Integrals of the Third Kind [PDF]
Canadian Journal of Mathematics, 1959 This paper develops a case for adopting as the standard elliptic integrals of the third kind the function IIs(u, a) defined byand the three functions lIs (u, a + Kc), Πs(u, a + Kn), Πss(u, a+ Kn) where KC, Kn, Kn are the three quarter-periods of the Jacobian system.
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Opportunities of Semiconducting Oxide Nanostructures as Advanced Luminescent Materials in Photonics
Advanced 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
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An inequality for generalized complete elliptic integral
Journal of Inequalities and Applications, 2017 In this paper, we show an elegant inequality involving the ratio of generalized complete elliptic integrals of the first kind and generalize an interesting result of Alzer.
Li Yin +3 more
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Advanced Materials, EarlyView.Ordered three‐dimensional anodic aluminum oxide (3D‐AAO) nanoarchitectures with longitudinal and transverse pores enable architecture‐driven metamaterials. The review maps fabrication advances, including hybrid pulse anodization, and shows how 3D‐AAO templates tailor properties across magnetism, energy, catalysis, and sensing.
Marisol Martín‐González
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QED contributions to electron g-2
EPJ Web of Conferences, 2018 In this paper I briefly describe the results of the numerical evaluation of the mass-independent 4-loop contribution to the electron g-2 in QED with 1100 digits of precision. In particular I also show the semi-analytical fit to the numerical value, which
Laporta Stefano
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Transformations of elliptic hypergeometric integrals [PDF]
Annals of Mathematics, 2010 58 pages, LaTeX. v2: some notations changed to harmonize with sequel. v3: added proof of main conjecture; other minor changes.
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Sub‐Nanometer Curvature Unlocks Quantum Orbital Flexoelectricity in Graphene
Advanced Materials, EarlyView.In self‐assembled, reproducible, large‐area, quasi‐pristine graphene nanowrinkles, extreme curvature forces out‐of‐plane π‐electrons toward hybridization, driving a transition from classical to quantum orbital flexoelectricity. As curvature approaches the fundamental physical limit set by the C─C bond length, the resulting polarization increases by ...
Sathvik Ajay Iyengar +8 more
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Advanced Materials, EarlyView.ABSTRACT Microneedle arrays (MNAs) is a rapidly emerging technology with broad biomedical applications in drug delivery and biosensing. With sub‐millimeter dimensions and periodicity, MNAs possess geometries nearly ideal for biomedical devices operating within the terahertz (THz) spectral window.
Sang Hyun Lee +6 more
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Quantum walks and elliptic integrals [PDF]
Mathematical Structures in Computer Science, 2010 Pólya showed in his 1921 paper that the generating function of the return probability for a two-dimensional random walk can be written in terms of an elliptic integral. In this paper we present a similar expression for a one-dimensional quantum walk.
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Advanced Materials, EarlyView.Azobenzene photoswitches translate molecular‐scale E/Z photoisomerization into macroscopic material responses and device‐level photonic functions. This Review highlights how azobenzene research has evolved from molecular photochemistry to photoalignment, mass migration, photomechanics, and heat release, ultimately enabling holography, reconfigurable ...
Heeju Son +20 more
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