Results 81 to 90 of about 155,769 (214)
Legendre polynomial order selection in projection pursuit density estimation
Lietuvos Matematikos Rinkinys, 2013 Projection pursuit method and its application to probability density estimation is discussed. Method proposed by J.H. Friedman, based on projection density estimation using orthogonal Legendre polynomials, is analysed.
Mindaugas Kavaliauskas
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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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A Geometric Multigrid Preconditioner for Discontinuous Galerkin Shifted Boundary Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.ABSTRACT I introduce a geometric multigrid preconditioner for the Shifted Boundary Method (SBM) designed to solve PDEs on complex geometries. While the SBM simplifies mesh generation by using a nonconforming background grid, it often results in nonsymmetric linear systems, a complete analysis of which is missing from the literature, especially with ...
Michał Wichrowski
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Limnology and Oceanography: Methods, Volume 24, Issue 11, November 2026.Abstract Flow cytometry measures the optical properties of individual cells and has become essential for enumerating and characterizing marine phytoplankton. Yet systematic comparison of measurements across instruments remains limited, hampering data comparison across laboratories and long‐term time series.
Francois Ribalet +10 more
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Müntz linear transforms of Brownian motion [PDF]
, 2014 We consider a class of Volterra linear transforms of Brownian motion associated to a sequence of Müntz Gaussian spaces and determine explicitly their kernels; the kernels take a simple form when expressed in terms of Müntz-Legendre polynomials. These are
Wu, Ching-Tang, Alili, Larbi
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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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Comparison of Random Regression Models with Different Order Legendre Polynomials for Genetic Parameter Estimation on Race Completion Speed of Arabian Horses. [PDF]
Animals (Basel), 2022 Önder H +6 more
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Notes on Legendre polynomials [PDF]
Bulletin of the American Mathematical Society, 1945 Not ...
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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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Results in Physics, 2017 The pseudo-spectral method with the Chebyshev and Legendre polynomials are used in order to compute the electric potential for a rodlike macromolecule located in salt free solution via the Poisson-Boltzmann equation (PBE). Afterwards, verification of the
Shaghayegh Nikzad +2 more
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