Results 91 to 100 of about 972,343 (359)
Advanced Science, EarlyView.This study deciphers maternal‐driven microbial transmission in pigs using a deep learning model (maternal–offspring microbial transmission model), identifying Christensenellaceae R‐7 group as a key transmitted taxon. Filtered galacto‐oligosaccharides‐targeted Christensenellaceae R‐7 group alters offspring microbial functions via maternal ...
Haibo Shen +9 more
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Discrete semiclassical orthogonal polynomials of class one [PDF]
, 2012 We study discrete semiclassical orthogonal polynomials of class s D 1. By considering particular solutions of the Pearson equation, we obtain five canonical families of such polynomials.
D. Dominici, F. Marcellán
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Companion orthogonal polynomials
Journal of Computational and Applied Mathematics, 1996 AbstractWe give some properties relating the recurrence relations of orthogonal polynomials associated with any two symmetric distributions dφ1(x) and d2(x) such that dφ2(x) = (1 + kx2)d1(x). As applications of properties, recurrence relations for many interesting systems of orthogonal polynomials are obtained.
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, 2006 For little q-Jacobi polynomials and q-Hahn polynomials we give particular q-hypergeometric series representations in which the termwise q=0 limit can be taken. When rewritten in matrix form, these series representations can be viewed as LU factorizations.
A. Okounkov +16 more
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Advanced Science, EarlyView.A novel acoustofluidic lysis technique based on a vibrating fiber‐tip is integrated with Raman spectroscopy and deep learning for rapid, label‐free bacterial classification. By exposing intracellular biomolecules, this method significantly enhances spectral resolution, enabling high‐accuracy classification with a 1D‐ResNet model.
Yukai Liu +9 more
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, 2013 This chapter gives a short introduction to orthogonal polynomials, both the general theory and some special classes. It ends with some remarks about the usage of computer algebra for this theory.
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Advanced Science, EarlyView.This study proposes an augmented reality (AR) near‐eye display system that simultaneously achieves a large depth‐of‐field (DOF) from 0.25 to 10 m, a wide 50° field‐of‐view (FOV), and a 10 mm × 10 mm viewing eyebox, while maintaining high display performance, good optical see‐through viewing capability, and a compact system form factor.
Yongdong Wang +4 more
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Orthogonal Laurent polynomials
Indagationes Mathematicae (Proceedings), 1986 AbstractA Favard type theorem for special sequences of Laurent polynomials is proved. This result is used to establish the relation between T-fractions and orthogonal Laurent polynomials (OLPs). Applications are given to T-fractions for (quotients of) hypergeometric functions of type 2F1 and confluent forms. In the special case of 2F1(a,1;c;z) a weight
Erik Hendriksen, H. van Rossum
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Advanced Energy and Sustainability Research, EarlyView.This review highlights advanced methods for detecting and managing over‐humidification in polymer electrolyte fuel cells (PEFCs), emphasizing innovative sensors, simulation techniques, and imaging methods. By addressing the impact of water management on fuel‐cell performance and durability, this study outlines practical and sustainable solutions for ...
Maximilian Käfer +2 more
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On 2-orthogonal polynomials of Laguerre type
International Journal of Mathematics and Mathematical Sciences, 1999 Let {Pn}n≥0 be a sequence of 2-orthogonal monic polynomials relative to linear functionals ω0 and ω1 (see Definition 1.1). Now, let {Qn}n≥0 be the sequence of polynomials defined by Qn:=(n+1)−1P′n+1,n≥0.
Khalfa Douak
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