Results 51 to 60 of about 7,436 (197)
Hankel determinants of the Cantor sequence [PDF]
SCIENTIA SINICA Mathematica, 2014 In the paper, we give the recurrent equations of the Hankel determinants of the Cantor sequence, and show that the Hankel determinants as a double sequence is 3-automatic. With the help of the Hankel determinants, we prove that the irrationality exponent of the Cantor number, i.e.
Wen, Zhi-xiong, Wu, Wen
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Linearizing and Forecasting: A Reservoir Computing Route to Digital Twins of the Brain
Advanced Science, EarlyView.A new approach uses simple neural networks to create digital twins of brain activity, capturing how different patterns unfold over time. The method generates and recovers key dynamics even from noisy data. When applied to fMRI, it predicts brain signals and reveals distinctive activity patterns across regions and individuals, opening possibilities for ...
Gabriele Di Antonio +3 more
wiley +1 more source
Conformal Reconfigurable Intelligent Surfaces: A Cylindrical Geometry Perspective
Advanced Electronic Materials, EarlyView.Cylindrical reconfigurable intelligent surfaces are explored for low‐complexity beam steering using one‐bit meta‐atoms. A multi‐level modeling approach, including optimization‐based synthesis, demonstrates that even minimal hardware can support directive scattering.
Filippo Pepe +4 more
wiley +1 more source
A remark on the Hankel determinant formula for solutions of the Toda equation
, 2007 We consider the Hankel determinant formula of the $\tau$ functions of the Toda equation. We present a relationship between the determinant formula and the auxiliary linear problem, which is characterized by a compact formula for the $\tau$ functions in ...
Fadeev L D +18 more
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Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose This study investigates the effect of VAPOR water suppression and metabolite cycling on metabolite quantification and macromolecules in proton magnetic resonance spectroscopy. Methods Single‐voxel semi‐LASER spectra (TR/TE = 3000/28 ms) and metabolite‐nulled spectra (macromolecules) were acquired in five healthy subjects in the ...
Dinesh K. Deelchand +1 more
wiley +1 more source
Magnetization in the zig-zag layered Ising model and orthogonal polynomials
, 2021 We discuss the magnetization $M_m$ in the $m$-th column of the zig-zag layered 2D Ising model on a half-plane using Kadanoff-Ceva fermions and orthogonal polynomials techniques.
Chelkak, Dmitry +2 more
core
Perturbed Hankel determinant, correlation functions and Painlevé equations [PDF]
Journal of Mathematical Physics, 2016 In this paper, we continue with the study of the Hankel determinant, generated by a Pollaczek-Jacobi type weight, w(x; t, α, β) ≔ xα(1 − x)βe−t/x, x ∈ [0, 1], α > 0, β > 0, t ≥ 0. This reduces to the “pure” Jacobi weight at t = 0. It was shown in the work of Chen and Dai [J.
Chen, Min, Chen, Yang, Fan, Engui
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Nanophotonics, Volume 15, Issue 9, 13 May 2026.An ab initio electromagnetic framework links quasinormal modes to Fano resonances in extinction spectra. Analytical expressions for the Fano asymmetry and intensity parameters are derived from overlap integrals, enabling rapid spectral reconstruction and physical interpretation.
Mikhail Bochkarev +5 more
wiley +1 more source
On the Hankel determinants of close-to-convex univalent functions
International Journal of Mathematics and Mathematical Sciences, 1980 The rate of growth of Hankel determinant for close-to-convex functions is determined. The results in this paper are best possible.
K. Inayat Noor
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Polaritonic Spectra of Optical Mie Voids
Nanophotonics, Volume 15, Issue 9, 13 May 2026.Optical Mie voids have been shown to provide a versatile platform for polaritonic physics. Analytical and numerical analysis reveal how void resonances couple to excitonic media, enabling weak‐ and strong‐coupling regimes, polariton gaps, Q‐factor enhancement, and spatial mode localization.
Evgeny Ryabkov +3 more
wiley +1 more source