Results 1 to 10 of about 53,695 (215)
A novel univariate legendre polynomial method for probabilistic failure load prediction in composite open-hole laminate [PDF]
Scientific ReportsA novel univariate Legendre polynomial method is proposed for probabilistic failure load prediction in composite open-hole laminate based on the dimension-reduction method and Legendre polynomial.
Mingxuan Li +4 more
doaj +2 more sources
Legendre polynomial transformation and energy-weighted random forests for sequential data classification [PDF]
Scientific ReportsThe accurate classification of sequential data encompassing time series, sensor streams, and temporal signals is critical for applications ranging from environmental monitoring to industrial fault detection.
Oyebayo Ridwan Olaniran +5 more
doaj +2 more sources
Properties of Clifford-Legendre Polynomials [PDF]
Advances in Applied Clifford Algebras, 2022 Clifford-Legendre and Clifford-Gegenbauer polynomials are eigenfunctions of certain differential operators acting on functions defined on $m$-dimensional euclidean space ${\mathbb R}^m$ and taking values in the associated Clifford algebra ${\mathbb R}_m$.
Ghaffari, Hamed Baghal +2 more
openaire +3 more sources
Journal of Applied Sciences and Environmental Management, 2006 In this paper, we proved the superiority of Legendre polynomial to Chebyshev polynomial in solving first order ordinary differential equation with rational coefficient.
FO Akinpelu, LA Adetunde, EO Omidiora
doaj +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2020 In this paper, block pulse functions and hybrid Legendre polynomials are introduced. The estimators of a function $f$ having first and second derivative belonging to $Lip_\alpha[a,b]$ class, $0 < \alpha \leq 1$, and $a$, $b$ are finite real numbers, by ...
S. Lal, V.K. Sharma
doaj +1 more source
Journal of Mathematics, 2022 In this paper, we extend the operational matrix method to solve the tempered fractional differential equation, via shifted Legendre polynomial. Although the operational matrix method is widely used in solving various fractional calculus problems, it is ...
Abiodun Ezekiel Owoyemi +2 more
doaj +1 more source
O(1) Computation of Legendre polynomials and Gauss-Legendre nodes and weights for parallel computing [PDF]
, 2012 A self-contained set of algorithms is proposed for the fast evaluation of Legendre polynomials of arbitrary degree and argument is an element of [-1, 1].
Bogaert, Ignace +2 more
core +1 more source
Generalized Legendre Polynomials
Journal of Mathematical Analysis and Applications, 1993 Let \((\lambda_ n)_{n\in\mathbb{N}}\) be a sequence of distinct real numbers with \(\lambda_ n>-1/2\). The authors orthogonalize the functions \(\{x^{\lambda_ 1},x^{\lambda_ 2},\dots\}\) with respect to the inner product \(\langle f,g\rangle:=\int_ 0^ 1 f(x)g(x)dx\) by using Gram-Schmidt-orthogonalization.
Mccarthy, P.C. +2 more
openaire +2 more sources
Lactation curve modelling using Legendre Polynomial in Sahiwal cattle
Indian Journal of Animal Sciences, 2016 Present study aimed at modelling lactation curve in Sahiwal cattle using normalized Legendre polynomials functions of standardized units of time and understanding the variation of lactation curve in different lactations. Among the first three lactations,
VED PRAKASH +3 more
doaj +1 more source
On the Deuring Polynomial for Drinfeld Modules in Legendre Form [PDF]
, 2018 We study a family $\psi^{\lambda}$ of $\mathbb F_q[T]$-Drinfeld modules, which is a natural analog of Legendre elliptic curves. We then find a surprising recurrence giving the corresponding Deuring polynomial $H_{p(T)}(\lambda)$ characterising ...
Bassa, Alp, Beelen, Peter
core +2 more sources