Results 141 to 150 of about 972,343 (359)

A problem concerning orthogonal polynomials [PDF]

, 1935
Gábor Szegő
openalex   +1 more source

Orthogonal polynomials (in Matlab)

Journal of Computational and Applied Mathematics, 2005
AbstractA suite of Matlab programs has been developed as part of the book “Orthogonal Polynomials: Computation and Approximation” Oxford University Press, Oxford, 2004, by Gautschi. The package contains routines for generating orthogonal polynomials as well as routines dealing with applications.
openaire   +3 more sources

Generalized Matsuoka–Nakai criterion considering hydrostatic pressure dependence in the brittle–ductile region

Deep Underground Science and Engineering, EarlyView.
Three sets of strength data were selected, including hydrostatic pressure independent within the brittle region (HPI‐B), hydrostatic pressure dependent within the brittle region (HPD‐B), and hydrostatic pressure dependent within the brittle–ductile region (HPD‐BD). For HPI type, the failure envelope within the deviatoric plane remains constant.
Jiacun Liu, Junjie Xiao, Dongping Liu, Ying Xu   +3 more
wiley   +1 more source

Joint power control and user grouping mechanism for efficient uplink non‐orthogonal multiple access‐based 5G communication: Utilising the Lèvy‐flight firefly algorithm

IET Networks, EarlyView., 2023
We utilise a metaheuristic optimisation method, inspired by nature, called the Lévy‐flight firefly algorithm (LFA), to tackle the power regulation and user grouping in the NOMA systems. Abstract The non‐orthogonal multiple access strategies have shown promise to boost fifth generation and sixth generation wireless networks' spectral efficiency and ...
Zaid Albataineh, Khaled F. Hayajneh, Haythem Bany Salameh, Raed Al Athamneh, Yaser Jararweh   +4 more
wiley   +1 more source

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

PTSD and Complex PTSD in Residential Treatment for Eating Disorders: Moderating Effects on Symptom Severity and Outcome Trajectory

International Journal of Eating Disorders, EarlyView.
ABSTRACT Objective Eating disorders (EDs) and symptoms of trauma commonly co‐occur, yet research is limited on how trauma affects ED treatment outcomes. This is particularly true for complex post‐traumatic stress disorder (CPTSD). Differentiating between the treatment impacts of PTSD and CPTSD (which includes both PTSD symptoms and disturbances in self‐
Sinead Day, Deborah Mitchison, W. Kathy Tannous, Phillipa Hay   +3 more
wiley   +1 more source

Doubly periodic lozenge tilings of a hexagon and matrix valued orthogonal polynomials. [PDF]

Stud Appl Math, 2021
Charlier C.
europepmc   +1 more source

Orthogonal polynomials arising in the numerical evaluation of inverse Laplace transforms [PDF]

, 1955
Herbert E. Salzer
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Orthogonal polynomials on the disc

Journal of Approximation Theory, 2008
AbstractWe consider the space Pn of orthogonal polynomials of degree n on the unit disc for a general radially symmetric weight function. We show that there exists a single orthogonal polynomial whose rotations through the angles jπn+1, j=0,1,…,n forms an orthonormal basis for Pn, and compute all such polynomials explicitly.
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On derivatives of orthogonal polynomials. II [PDF]

Bulletin of the American Mathematical Society, 1936
m{x)(j)n{x)d\p(x) = 0, I d\p(x) > 0, (m 7* n), a J a where \[/(x) is a non-decreasing function of bounded variation. There is no restriction in assuming the highest coefficient 1. It has been shown by W. Hahnf that if the derivatives also form a set of orthogonal polynomials, then the original set were Jacobi, Hermite, or Laguerre polynomials.
openaire   +5 more sources