Results 101 to 110 of about 382,986 (293)

Orthonormal aberration decomposition for circular aperture and rectangular field with extension to multiple-aperture systems

AIP Advances
A new set of orthogonal polynomials and the traditional Zernike polynomials are combined to construct the wavefront of the sparse aperture (SA) optical system.
Baohua Chen, Quanying Wu, Junliu Fan, Songhongkang Yang, Zhixiang Li, Donghui Shen   +5 more
doaj   +1 more source

Orthogonal Polynomials with Singularly Perturbed Freud Weights. [PDF]

Entropy (Basel), 2023
Min C, Wang L.
europepmc   +1 more source

Vanishing Results for Hall-Littlewood Polynomials [PDF]

, 2012
It is well-known that if one integrates a Schur function indexed by a partition λ over the symplectic (resp. orthogonal) group, the integral vanishes unless all parts of λ have even multiplicity (resp. all parts of λ are even).
Venkateswaran, Vidya
core   +1 more source

Accelerating Materials Discovery: A Review of Machine Learning in X‐Ray Absorption Spectroscopy

Advanced Intelligent Systems, EarlyView.
This review systematically details how machine learning transforms X‐ray absorption spectroscopy (XAS) analysis. It covers advanced deep learning architectures for structure‐spectra mapping and inverse tasks, while discussing key challenges like the simulation‐to‐reality gap.
Melaku Lake Tegegne, Haodong Yao, Liyuan Wu, Yihe Pang, Fazhi Qi, Lina Zhao   +5 more
wiley   +1 more source

d-Orthogonal Analogs of Classical Orthogonal Polynomials [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2018
Classical orthogonal polynomial systems of Jacobi, Hermite and Laguerre have the property that the polynomials of each system are eigenfunctions of a second order ordinary differential operator. According to a famous theorem by Bochner they are the only systems on the real line with this property.
openaire   +2 more sources

Revealing Hidden Raman Signatures Through Attention‐Based Spectral Unmixing

Advanced Intelligent Systems, EarlyView.
Weak Raman signatures are recovered from background‐dominated spectra using a transformer‐based, reference‐free spectral unmixing AI framework. Self‐attention reconstructs substrate contribution directly from mixed data, enabling reliable extraction of previously inaccessible vibrational features.
Dmitriy A. Poteryayev, Pietro Novelli, Annalisa Coriolano, Riccardo Dettori, Valentina Tozzini, Fabio Beltram, Massimiliano Pontil, Antonio Rossi, Stiven Forti, Camilla Coletti   +9 more
wiley   +1 more source

Approximation theory for weighted Sobolev spaces on curves [PDF]

, 2001
17 pages, no figures.-- MSC2000 codes: 41A10, 46E35, 46G10.MR#: MR1882649 (2003c:42002)In this paper we present a definition of weighted Sobolev spaces on curves and find general conditions under which the spaces are complete.
Pestana Galván, Domingo, Pestana, Domingo, Romera, Elena, Álvarez, Venancio, Rodríguez, José M., Álvarez González, Venancio, Rodríguez García, José Manuel   +6 more
core   +1 more source

The telephone polynomials: An Appell-type orthogonal polynomials connecting Hermite–Laguerre polynomials

Nuclear Physics B
This article investigates a new Appell-type sequence, the telephone polynomials, which extend the classical telephone (involution) numbers. We present their fundamental algebraic properties, structural characterizations, and diverse interconnections with
Kalika Prasad, Munesh Kumari
doaj   +1 more source

Jaynes-Gibbs Entropic Convex Duals and Orthogonal Polynomials. [PDF]

Entropy (Basel), 2022
Le Blanc R.
europepmc   +1 more source

Asymptotics of orthogonal polynomial’s entropy

Journal of Computational and Applied Mathematics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander I. Aptekarev, Jesús Sánchez-Dehesa, Andrei Martínez-Finkelshtein   +2 more
openaire   +3 more sources