Results 1 to 10 of about 4,294 (213)
The application of Legendre Polynomials to model muscularity and body condition score in primiparous Italian Simmental cattle [PDF]
Italian Journal of Animal Science, 2022 The aim of the present study was to develop a model to predict muscularity and body condition score (BCS) during the lactation of Italian Simmental dairy cows in Emilia Romagna herds.
Giovanni Buonaiuto +6 more
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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
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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
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Accurate Evaluation of Polynomials in Legendre Basis [PDF]
Journal of Applied Mathematics, 2014 This paper presents a compensated algorithm for accurate evaluation of a polynomial in Legendre basis. Since the coefficients of the evaluated polynomial are fractions, we propose to store these coefficients in two floating point numbers, such as double ...
Peibing Du, Hao Jiang, Lizhi Cheng
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Linear complexity of Legendre‐polynomial quotients [PDF]
IET Information Security, 2018 Let p be an odd prime and be a positive integer. The authorscontinue to investigate the binary sequence over defined from polynomial quotients by
Zhixiong Chen
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On the Expansion of Legendre Polynomials in Bicomplex Space and Coupling with Fractional Operators
AxiomsIn this paper, we introduce a novel version of the Legendre polynomials in the bicomplex system. We investigate the essential properties of the Legendre polynomial, focusing on its bicomplex structure, generating functions, orthogonality, and recurrence ...
Ahmed Bakhet +3 more
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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
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An Orthogonality Property of the Legendre Polynomials [PDF]
Constructive Approximation, 2016 We give a remarkable additional orthogonality property of the classical Legendre polynomials on the real interval $[-1,1]$: polynomials up to degree $n$ from this family are mutually orthogonal under the arcsine measure weighted by the degree-$n$ normalized Christoffel function.
BOS, LEONARD PETER +3 more
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A Property of Legendre Polynomials [PDF]
Proceedings of the National Academy of Sciences, 1970 Remark I: The Legendre polynomials are the spherical functions for the symmetric space SO(3)/SO(2). A property analogous to that stated in the above theorem holds for other symmetric spaces. In this fashion we get also new properties for Gegenbauer polynomials, Bessel, and Legendre functions.
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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
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