Results 71 to 80 of about 292,163 (222)
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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Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
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Application of MLR-Legendre polynomials model in concrete dam crack opening prediction
Shuili Shuiyun Gongcheng Xuebao, 2019 The statistical regression model widely used to predict the crack opening displacements of the concrete dams still has some shortcomings. Firstly, it is difficult to establish an effective statistical regression model for the observation time series of ...
QIU Liting +3 more
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Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2489-2504, November 2026.ABSTRACT Purpose To improve the accuracy of diffusion‐weighted powder average signals for diffusion encoding with arbitrary b‐tensors. Methods We identify an intrinsic dihedral (D2) symmetry of diffusion signals for arbitrary diffusion encoding, which defines their natural signal space (a quotient of 3D rotations). Based on this, we propose a method to
Sune Nørhøj Jespersen +1 more
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Congruences concerning Legendre polynomials II [PDF]
Journal of Number Theory, 2013 Suppose that p is an odd prime and d is a positive integer. Let x and y be integers given by p = x2+dy2 or 4p = x2+dy2. In this paper we determine x( mod p) for many values of d. For example, [Formula: see text] where x is chosen so that x ≡ 1 ( mod 3). We also pose some conjectures on supercongruences modulo p2 concerning binary quadratic forms.
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Journal of Animal Breeding and Genetics, Volume 143, Issue 6, Page 821-833, November 2026.ABSTRACT Functional longevity (FL) is a complex trait that integrates many attributes directly contributing to the successful retention and productivity of a cow within the herd. Consequently, improving FL in beef cattle increases herd profitability. This study aimed to estimate the genetic associations between two alternative FL definitions and traits
Dalila Ribeiro dos Santos +7 more
wiley +1 more source
, 2013 In this paper, we consider the Müntz-Legendre polynomial solutions of the linear delay Fredholm integro-differential equations and residual correction.
Şuayip Yüzbaşı +8 more
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On the degree of approximation of the Hermite and Hermite-Fejer interpolation
International Journal of Mathematics and Mathematical Sciences, 1992 Here we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1.
J. Prasad
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Notes on Legendre polynomials [PDF]
Bulletin of the American Mathematical Society, 1945 Not ...
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New Zealand Journal of Agricultural Research, Volume 69, Issue 5, October 2026.Rearing dairy calves on cows is an alternative rearing system gaining interest worldwide as a means to improve the growth rate and welfare of calves. However, there is limited research examining the effect on milk yield and composition in lactating dairy cows.
Himal Dhanushe +4 more
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