Results 71 to 80 of about 1,420 (175)
Eigenvalue asymptotics for a class of multi-variable Hankel matrices
A one-variable Hankel matrix Ha{H}_{a} is an infinite matrix Ha=[a(i+j)]i,j≥0{H}_{a}={\left[a\left(i+j)]}_{i,j\ge 0}. Similarly, for any d≥2d\ge 2, a dd-variable Hankel matrix is defined as Ha=[a(i+j)]{H}_{{\bf{a}}}=\left[{\bf{a}}\left({\bf{i}}+{\bf{j}})]
Tantalakis Christos Panagiotis
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ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
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We obtain explicit interrelations between new Dyukarev-Stieltjes matrix parameters and orthogonal matrix polynomials on a finite interval [a, b], as well as the Schur complements of the block Hankel matrices constructed through the moments of the ...
Choque-Rivero A.E.
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Numerical modeling of mesoscopic material response models that capture the quantum dynamics of electrons does not have to come with discouraging computational bottlenecks. The main message is that through a shift in perspective in modeling toward integral equation methods and exploiting symmetry‐based arguments, it is possible to capture complicated ...
Christos Mystilidis +4 more
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Photonic Doping of Epsilon‐Near‐Zero Bragg Microcavities
Photonic doping of an epsilon‐near‐zero (ENZ) Bragg microcavity at optical frequencies induces strong magnetic responses from dielectric inclusions, enabling intense field localization, Purcell enhancement, and tunable hybrid Bragg–Mie modes. The platform supports perfect magnetic conductor and epsilon‐and‐mu‐near‐zero regimes, offering opportunities ...
Ali Panahpour +2 more
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In Situ pH Determination Using 1H‐MRS Acetate Chemical Shift for Noninvasive Postmortem Examinations
The chemical‐shift difference between acetate and myo‐inositol measured by MRS enables estimation of pH in the acidic range. Noninvasive pH assessment in forensic investigations is demonstrated in 58 cases and validated by measurements in extracted tissue.
Sabina Frese +4 more
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Residual Water Suppression in MRS Using HLSVD With Automatic Component Selection Strategy
Residual water signals in magnetic resonance spectroscopy distort baselines and hinder metabolite quantification. We propose an automatic residual water removal method using HLSVD with the metric, termed as residual water to metabolite variance ratio (RWVR), to guide component selection.
Yi‐Ru Lin +2 more
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An Algebraic Study of Parametric Stokes Phenomena
ABSTRACT We investigate geometric aspects of co‐equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an algebraic curve. This perspective allows us to elucidate concepts unique to parametric resurgence such as singularity structures, (virtual) turning points, and the ...
Inês Aniceto, Samuel Crew
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Multichannel Hankel Matrix Completion Through Nonconvex Optimization
This paper studies the multichannel missing data recovery problem when the measurements are generated by a dynamical system. A new model, termed multichannel low-rank Hankel matrices, is proposed to characterize the intrinsic low-dimensional structures in multichannel time series.
Shuai Zhang 0015 +3 more
openaire +1 more source
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
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