Results 101 to 110 of about 15,437 (317)
Harnessing Machine Learning to Understand and Design Disordered Solids
Advanced Intelligent Discovery, EarlyView.This review maps the dynamic evolution of machine learning in disordered solids, from structural representations to generative modeling. It explores how deep learning and model explainability transform property prediction into profound physical insight.
Muchen Wang, Yue Fan
wiley +1 more source
Fractal and FractionalSolving fractional differential equations using spectral collocation methods based on classical orthogonal polynomials often leads to a reduced convergence rate due to the limited regularity of the solutions.
Amal Alshabanat +3 more
doaj +1 more source
n-Kernel orthogonal polynomials on the Dirichlet, Dirichlet-Multinomial, Poisson-Dirichlet and Ewens sampling distributions, and positive-definite sequences [PDF]
, 2010 We consider a multivariate version of the so-called Lancaster problem of characterizing canonical correlation coe±cients of symmetric bivariate distributions with identical marginals and orthogonal polynomial expansions.
Spanò, Dario, Griffiths, Robert C.
core
Matrix interpretation of multiple orthogonality
, 2010 In this work we give an interpretation of a (s(d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials.We rewrite this recurrence relation in matrix form and we obtain a three-term recurrence relation for vector ...
Branquinho, Amílcar +2 more
core +1 more source
Sylvester equations for Laguerre–Hahn orthogonal polynomials on the real line [PDF]
, 2013 Matrix Sylvester differential equations are introduced in the study of Laguerre–Hahn orthogonal polynomials. Matrix Sylvester differential systems are shown to yield representations for the Laguerre–Hahn orthogonal polynomials.
Branquinho, A. +4 more
core +1 more source
Recent Research in Polynomials
, 2023 Polynomials are incredibly useful mathematical tools that have a wide array of applications. This book provides a comprehensive overview of polynomials and recent developments in the field. It includes ten chapters that address such topics as polynomials-
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In Situ Contact Angle Measurement for Autonomous Spin Coating in Self‐Driving Labs
Advanced Intelligent Discovery, EarlyView.A vision‐based add‐on transforms commercial spin coaters into autonomous modules of Self‐Driving Labs. Combining a width‐scaled U‐Net with classical geometric analysis, the system simultaneously measures contact angles and estimates substrate pose using a single camera.
Sven Fischer, Micha Hiegle, Holger Röhm
wiley +1 more source
Orthogonal polynomials on the disc
Journal of Approximation Theory, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +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 +6 more
core
Structure relations for orthogonal polynomials on the unit circle [PDF]
, 2012 Structure relations for orthogonal polynomials with respect to Hermitian linear functionals are studied. Firstly, we prove that semi-classical orthogonal polynomials satisfy structure relations of the following type: ∑k=0s1βn,kPn+s1-k+∑k=0s2γn,kzkPn-1-k∗=
Branquinho, A. +2 more
core +1 more source