Results 71 to 80 of about 382,986 (293)
Properties of pseudo-orthogonal Chebyshev-like polynomials [PDF]
European Journal of Mathematics and ApplicationsChebyshev polynomials are one of the classes of rationally generated polynomials that are orthogonal in the interval \([-1,1]\). In this paper, we introduce a new class of Chebyshev-like polynomials denoted by $R_{n}(x)$ and satisfying the recurrence ...
Vitalice Omondi Wamnyolo +2 more
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On quasi-orthogonal polynomials [PDF]
Proceedings of the American Mathematical Society, 1961 where the { pn(X) } n??= are the related orthogonal polynomials. We say that two polynomial sets are related if one set is quasi-orthogonal with respect to the interval and distribution of the orthogonality of the other set. Chihara [2 ] gave a necessary form for a recurrence relation for quasi-orthogonal polynomials. It is the purpose of this paper to
openaire +2 more sources
Determining radii of meromorphy via orthogonal polynomials on the unit circle [PDF]
, 2003 19 pages, no figures.-- MSC2000 codes: 30E10, 42C05, 41A20, 30D30.MR#: MR2016676 (2004k:30087)Zbl#: Zbl 1051.30033Using a convergence theorem for Fourier–Padé approximants constructed from orthogonal polynomials on the unit circle, we prove an analogue ...
López Lagomasino, Guillermo +2 more
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Advanced Science, EarlyView.This review comprehensively summarizes the atomic defects in TMDs for their applications in sustainable energy storage devices, along with the latest progress in ML methodologies for high‐throughput TEM data analysis, offering insights on how ML‐empowered microscopy facilitates bridging structure–property correlation and inspires knowledge for precise ...
Zheng Luo +6 more
wiley +1 more source
Asymptotically extremal polynomials with respect to varying weights and application to Sobolev orthogonality [PDF]
, 2008 9 pages, no figures.-- MSC2000 code: 33C45.MR#: MR2431543 (2009g:41009)Zbl#: Zbl 1155.33006We study the asymptotic behavior of the zeros of a sequence of polynomials whose weighted norms, with respect to a sequence of weight functions, have the same $n ...
Díaz Mendoza, Carlos J. +3 more
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A Generative Neuro‐Symbolic AI for Protein Sequence Design
Advanced Science, EarlyView.We introduce EffieDes, a neuro‐symbolic framework coupling deep learning‐based fitness landscape parameterization with exact automated reasoning. Unlike greedy sampling, EffieDes identifies sequences that globally optimize fitness while satisfying intricate design constraints.
Marianne Defresne +12 more
wiley +1 more source
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
doaj +1 more source
Characteristic polynomials of complex random matrix models [PDF]
, 2002 We calculate the expectation value of an arbitrary product of characteristic polynomials of complex random matrices and their hermitian conjugates. Using the technique of orthogonal polynomials in the complex plane our result can be written in terms of
Akemann, G +3 more
core +1 more source
Inverse Design of Pre‐Strain via a Predictive Electromechanical Model for Enhanced Strain Sensing
Advanced Science, EarlyView.An analytical electromechanical model rooted in microcrack evolution mechanics is globally calibrated from only eight pre‐strain datasets, enabling prediction of the complete sensing response at untested pre‐strain values within the calibrated design space (R2 > 0.99).
Jia‐Chen Shang +10 more
wiley +1 more source
Julia Sets of Orthogonal Polynomials [PDF]
Potential Analysis, 2018 14 pages, 1 ...
Jacob Stordal Christiansen +3 more
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