Results 111 to 120 of about 5,765 (234)
Random polynomials in Legendre sequences [PDF]
, 2022 It is crucial in pseudorandomness cryptographic applications that the smaller key used as a seed can be generated at random. Thus, if the Legendre sequence based on a polynomial (as proposed by Hoffstein and Lieman) is used, then it is important to ...
Müllner, Károly, Gyarmati, Katalin
core
Topological Point Defects in SmC* Liquid Crystals Under Mechanical Disturbance
Advanced Materials Interfaces, Volume 13, Issue 11, 9 June 2026.Tangetial air jet shear inducess island formation and nucleates topological point defects in uniform SmC films. Island bounded by edge dislocation loops shrink and transform into isolated point defects under continued shear. Mechanical perturbatio provides a controllable route for defect engineering in smectric liquid crystal thin films.
Gunganist Kongklad +3 more
wiley +1 more source
Polar Plots of Legendre Polynomials
, 2011 Show Legendre polynomials in polar coordinatesComponente Curricular::Educação Superior::Ciências Exatas e da Terra ...
Wolfram, Stephen
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The eigenvalues of one-speed neutrons in a slab with forward and backward scattering
Tehnički Glasnik, 2019 The eigenvalue spectrum is studied for one-speed neutrons in a slab with forward and backward scattering. First, the transport equation describing the interaction of neutrons in a system with general geometry is given.
Ökkeş Ege, Hakan Öztürk
doaj +1 more source
Generalized Diffusion Theory for Radiative Transfer in Fully Anisotropic Scattering Media
Advanced Theory and Simulations, Volume 9, Issue 6, June 2026.Graphical illustration of the diffused intensity pattern in an anisotropic slab illuminated by a pencil beam, alongside angular distribution of the radiance for different anisotropic scattering coefficients combinations. ABSTRACT A generalized anisotropic‐diffusion framework is developed for transport problems in media described by a tensorial ...
Ernesto Pini +2 more
wiley +1 more source
Weighted Quadratic Norms and Legendre Polynomials
, 1955 1. Introduction. Let , n = 0, 1, … , be the normalized Legendre polynomials. If and ifthen we write.
I. I. Hirschman
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Ecology and Evolution, Volume 16, Issue 6, June 2026.The article analyses macro‐moth (Lepidoptera) inventory data from 292 nature reserves across the Czech Republic, comprising 941 species. It examines how reserve characteristics, geographic position and altitude influence species richness, community composition and their associations with species traits.
Zuzana Kubincová +7 more
wiley +1 more source
Determinant inequalities for sieved ultraspherical polynomials
International Journal of Mathematics and Mathematical Sciences, 2001 Paul Turan first observed that the Legendre polynomials satisfy the inequality Pn2(x)−Pn−1(x)Pn(x)>0 ...
J. Bustoz, I. S. Pyung
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Classical and generalized Jacobi polynomials orthogonal with different weight functions and differential equations satisfied by these polynomials [PDF]
, 2017 summary:In this contribution we deal with classical Jacobi polynomials orthogonal with respect to different weight functions, their special cases - classical Legendre polynomials and generalized brothers of them.
Marčoková, Mariana, Guldan, Vladimír
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Engineering Reports, Volume 8, Issue 6, June 2026.Graphical abstract of the (q,τ)$$ \left(q,\tau \right) $$‐deformed kernel framework for quantum‐inspired learning and biomedical signal analysis ABSTRACT This paper introduces a weighted (q,τ)$$ \left(q,\tau \right) $$‐deformed Gram matrix framework for quantum‐inspired learning systems, with particular emphasis on applications in biomedical signal ...
Rabha W. Ibrahim +2 more
wiley +1 more source