Results 51 to 60 of about 1,847 (220)

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

Advanced Energy Materials, EarlyView.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park, Saeed Pourasad, Jinhong Mun, Arunkumar Chitteth Rajan, Tae Hyeon Park, Anand Rohit, Mohammad Zafari, Tan‐Lien Pham, Eunjae Jung, Bonseung Koo, Miran Ha, Gi Beom Sim, Hyun Gyu Park, Won Woong Choi, Kwanghyeon Jo, Soohaeng Yoo Willow, David ChangMo Yang, Chang Woo Myung, Geunsik Lee, Kwang S. Kim   +19 more
wiley   +1 more source

Mutually inverse series relating Ferrers and associated Legendre functions and generating functions pertaining to them [PDF]

, 2023
This article deals with three types of mutually inverse series relating Ferrers and associated Legendre functions of arbitrary complex indexes and orders established on the base of integral representations by using a number of generating functions (some ...
Malits, P.
core   +1 more source

Design, Control, and Clinical Applications of Magnetic Actuation Systems: Challenges and Opportunities

Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.
This review aims to provide a broad understanding for interdisciplinary researchers in engineering and clinical applications. It addresses the development and control of magnetic actuation systems (MASs) in clinical surgeries and their revolutionary effects in multiple clinical applications.
Yingxin Huo, Lidong Yang, Tiantian Xu, Dong Sun   +3 more
wiley   +1 more source

Legendre polynomials, Legendre–Stirling numbers, and the left-definite spectral analysis of the Legendre differential expression [PDF]

, 2002
In this paper, we develop the left-definite spectral theory associated with the self-adjoint operator A(k) in L2(−1,1), generated from the classical second-order Legendre differential equationℓL,k[y](t)=−((1−t2)y′)′+ky=λy(t∈(−1,1)),that has the Legendre ...
Everitt, W, L.L. Littlejohn, W.N. Everitt, Littlejohn, L.L., Everitt, W.N., Wellman, R., Wellman, R, R. Wellman, Littlejohn, LL   +8 more
core   +1 more source

DIFFERENTIAL CROSS SECTION ANALYSIS IN KAON PHOTOPRODUCTION USING ASSOCIATED LEGENDRE POLYNOMIALS [PDF]

Modern Physics Letters A, 2009
Angular distributions of differential cross sections from the latest CLAS data sets,6 for the reaction γ + p→K+ + Λ have been analyzed using associated Legendre polynomials. This analysis is based upon theoretical calculations in Ref. 1 where all sixteen observables in kaon photoproduction can be classified into four Legendre classes.
Hutauruk, P. T. P., Ireland, D. G., Rosner, G.   +2 more
openaire   +2 more sources

A new subclass of analytic and bi-univalent functions associated with Legendre polynomials

AIMS Mathematics, 2023
<abstract><p>In this paper, we introduce a new subclass of analytic and bi-univalent functions in the open unit disc $ U. $ For this subclass of functions, estimates of the initial coefficients $ \left\vert A_{2}\right\vert $ and $ \left\vert A_{3}\right\vert $ of the Taylor-Maclaurin series are given.
Abeer O. Badghaish, Abdel Moneim Y. Lashin, Amani Z. Bajamal, Fayzah A. Alshehri   +3 more
openaire   +2 more sources

Modified F‐tests for assessing tree radial growth under linear‐circular regression models with correlated errors: A comprehensive toolbox rooted in G. E. P. Box's theorems

Canadian Journal of Statistics, EarlyView.
Abstract Annual tree growth is a complex biological process. Modelling radial growth in the trunk by linear‐circular regression with one mode and correlated errors has allowed the definition and assessment of a preferred direction for 1 and 2 years. Here, modified F$$ F $$‐tests are presented for 3 years, 1 mode/year; 1 year, 2 modes for possible main ...
Pierre Dutilleul, Tomoaki Imoto, Kunio Shimizu   +2 more
wiley   +1 more source

COMPACTLY SUPPORTED WAVELETS DERIVED FROM LEGENDRE POLYNOMIALS: SPHERICAL HARMONIC WAVELETS [PDF]

, 2015
: A new family of wavelets is introduced, which is associated with Legendre polynomials. These wavelets, termed spherical harmonic or Legendre wavelets, possess compact support.
H. M. De Oliveira, R. M. C. De Souza, M. M. S. Lira, M. A. Carvalho   +3 more
core  

Extended forms of Legendre-Laguerre-based hybrid polynomials and their characteristics via fractional operator approach

Journal of Inequalities and Applications
This study presents an extensive generalization of Legendre–Laguerre polynomials along with their Appell-type counterparts. Using the quasi-monomiality approach, we establish core analytical features, including recurrence relations, associated ...
Waseem Ahmad Khan, Shahid Ahmad Wani, Mohammad Ayman-Mursaleen, Ketan Kotecha, Prakash Jadhav   +4 more
doaj   +1 more source

Some further results on Legendre numbers

International Journal of Mathematics and Mathematical Sciences, 1988
The Legendre numbers, Pnm, are expressed in terms of those numbers, Pkm−1, in the previous column down to Pnm and in terms of those, Pkm, above but in the same column. Other results are given for numbers close to a given number. The limit of the quotient
Paul W. Haggard
doaj   +1 more source