Results 101 to 110 of about 1,874,872 (323)

Jacobi–Sobolev Orthogonal Polynomials, Differential Properties and Structural Formulas

Axioms
In this paper, we extend some differential and structural results for monic Jacobi–Sobolev orthogonal polynomials, associated with a general discrete Sobolev inner product, with a Jacobi continuous part. We consider finitely many exterior mass points and
Héctor Pijeira-Cabrera, Javier Quintero-Roba, Juan Toribio-Milane   +2 more
doaj   +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

Novel derivative operational matrix in Caputo sense with applications

Journal of Taibah University for Science
The main objective of this study is to present a computationally efficient numerical method for solving fractional-order differential equations with initial conditions.
Danish Zaidi, Imran Talib, Muhammad Bilal Riaz, Parveen Agarwal   +3 more
doaj   +1 more source

Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality [PDF]

, 2008
9 pages, no figures.-- MSC2000 code: 33C45.MR#: MR2431543 (2009g:41009)Zbl#: Zbl 1155.33006We study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms, with respect to a sequence of weight functions, have the same $n ...
Díaz Mendoza, Carlos J., Pijeira, Héctor, Orive, Rafael, Pijeira Cabrera, Héctor Esteban   +3 more
core   +1 more source

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

Vector-Valued Polynomials and a Matrix Weight Function with B2-Action

Symmetry, Integrability and Geometry: Methods and Applications, 2013
The structure of orthogonal polynomials on $mathbb{R}^{2}$ with the weight function $vert x_{1}^{2}-x_{2}^{2}vert ^{2k_{0}}vertx_{1}x_{2}vert ^{2k_{1}}e^{-( x_{1}^{2}+x_{2}^{2})/2}$ is based on the Dunkl operators of type $B_{2}$.
Charles F. Dunkl
doaj   +1 more source

Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group

Abstract and Applied Analysis, 2013
We investigate an orthogonal system of the homogenous Hilbert-Schmidt polynomials with respect to a probability measure which is invariant under the right action of an infinite-dimensional unitary matrix group.
Oleh Lopushansky
doaj   +1 more source

A study of resolvent set for a class of band operators with matrix elements

Concrete Operators, 2016
For operators generated by a certain class of infinite three-diagonal matrices with matrix elements we establish a characterization of the resolvent set in terms of polynomial solutions of the underlying second order finite-difference equations.
Osipov Andrey
doaj   +1 more source

Machine Learning‐Based PAT Tool for Real‐Time Residual Moisture Monitoring in Lyophilized Biopharmaceuticals Using NIR Spectroscopy

Biotechnology and Bioengineering, EarlyView.
ABSTRACT There is a growing demand in the pharmaceutical industry to optimize analytical methodologies, reducing time and resource consumption while ensuring rapid process development and cost‐efficient manufacturing. Indeed, Food and Drug Administration (FDA) introduced the Process Analytical Technology (PAT) as an initiative enabling manufacturers to
Samuele Fiorenza, Mariapia D'Urso, Ambra Massei, Nunzia Falco, Davide Fissore, Enza Torino   +5 more
wiley   +1 more source

Pre-sequences of matrix orthogonal polynomials [PDF]

São Paulo Journal of Mathematical Sciences, 2018
We introduce the notion of a pre-sequence of matrix orthogonal polynomials to mean a sequence {F_n} of matrix orthogonal functions with respect to a weight function W, satisfying a three term recursion relation and such that det(F_0) is not zero almost everywhere.
openaire   +2 more sources