Results 121 to 130 of about 1,847 (220)

One parameter family of linear difference equations and the stability problem for the numerical solution of ODEs

Advances in Difference Equations, 2006
The study of the stability properties of numerical methods leads to considering linear difference equations depending on a complex parameter q .
doaj  

PoPE: Legendre Orthogonal Polynomials Based Position Encoding for Large Language Models [PDF]

There are several improvements proposed over the baseline Absolute Positional Encoding (APE) method used in original transformer. In this study, we aim to investigate the implications of inadequately representing positional encoding in higher dimensions ...
Aggarwal, Arpit
core   +1 more source

Distinct genetic profiles influence body mass index between infancy and adolescence. [PDF]

Nat Commun
Wang G, McEwan S, Zeng J, Haile-Mariam M, Yengo L, Goddard ME, Kemper KE, Warrington NM.   +7 more
europepmc   +2 more sources

A novel shifted Vieta-Lucas spectral collocation approach for multidimensional generalized Benjamin-Bona-Mahony-Burgers equations. [PDF]

Sci Rep
Hafez RM, Ahmed HM, Alburaikan A, Alrajeh MAA, Khalifa HAE.   +4 more
europepmc   +1 more source

RIIST, resonance induced instability for surface tension measurement, a new technique with experiments in microgravity. [PDF]

NPJ Microgravity
Corbin T, Livesay J, Ishikawa T, Koyama C, SanSoucie M, Phillips B, Narayanan R.   +6 more
europepmc   +1 more source

Legendre polynomial transformation and energy-weighted random forests for sequential data classification. [PDF]

Sci Rep
Olaniran OR, Alghamdi FM, Alharbi NM, Abd-Elmougod GA, Alzubaidi S, Muse AH.   +5 more
europepmc   +1 more source

Evaluating High Ambient Temperature Effects on Milk Production in Local Tunisian Goats: Toward Resilient Breeding Strategies for Arid Environments. [PDF]

Animals (Basel)
Atoui A, Najari S, Ramón M, Díaz C, Abdennebi M, Carabaño MJ.   +5 more
europepmc   +1 more source

An Application of Legendre Polynomials to Bi-Bazilevic Functions associated with q-Ruscheweyh Operator

European Journal of Pure and Applied Mathematics
In this paper, we make use of the concept of fractional $q$-calculus to introduce a novel class of bi-Bazilevic functions involving $q$-Ruscheweyh differential operator that are subordinate to Legendre  Polynomials. This study explores the characteristics and behaviors of these functions, offering estimates for the modulus of the initial Taylor series ...
openaire   +1 more source

Revisiting the inverse Abel integral for reconstructing velocity-map images. [PDF]

Phys Chem Chem Phys
Sparling C, Onvlee J.
europepmc   +1 more source

Regularization of electromagnetic scattering problems via the Abel integral transform. [PDF]

Philos Trans A Math Phys Eng Sci
Vinogradova E, Smith P.
europepmc   +1 more source