Results 71 to 80 of about 3,568,332 (307)
On the arithmetic nature of coefficients of multiplicative eta-functions
Вестник Самарского университета: Естественнонаучная серияIn the article we study the arithmetic nature of the coefficients of multiplicative eta-products, also called McKay functions. For some functions it is possible to establish Hecke correspondence between the coefficients of McKay and Hecke grossen ...
G. V. Voskresenskaya
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Fourier coefficientes computation in two variables, a distributional version
Revista de Matemática: Teoría y Aplicaciones, 2015 The present article, by considering the distributional summations of Euler-Maclaurin and a suitable choice of the distribution, results in repre- sentations for the Fourier coefficients in two variables are obtained. These representations may be used for
Carlos Manuel Ulate R.
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Quadrature formulas for Fourier coefficients
Journal of Computational and Applied Mathematics, 2009 \textit{C. A. Micchelli} and \textit{T. J. Rivlin} [IBM J. Res. Develop. 16, 372--379 (1972; Zbl 0288.65013)] discovered the remarkable fact that the quadrature \[ \int^1_{-1}T_n(t)f(t)\frac{dt}{\sqrt{1-t^2}}\approx \frac{\pi}{n2^n}f'[\xi_1, \dots,\xi_n] \] is exact for all algebraic polynomials of degree \(\leq 3n-1\), where \[ T_n(t):=\cos(n\text{arc}
Bojanov, Borislav, Petrova, Guergana
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Polarizable Vanadium Dipoles Promote Water Dissociation on Vanadium‐Based Metal Organic Framework
Advanced Functional Materials, EarlyView.The polarization of unpaired V 3d electrons weakens the H─O bond to improve water dissociation by the dual Vδ+:O─H and Pλ−:H─O coupling hydrogen bonds formation and relaxation. P@V‐MOF electrocatalyst shows low overpotentials (94 mV in acid, 178 mV in neutral, and 77 mV in alkaline solutions) with excellent stability for effective overall water ...
Xinjuan Liu +13 more
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Linear relations between modular forms for Г0+(p)
Open Mathematics, 2015 We find linear relations among the Fourier coefficients of modular forms for the group Г0+(p) of genus zero. As an application of these linear relations, we derive congruence relations satisfied by the Fourier coefficients of normalized Hecke eigenforms.
Choi SoYoung, Kim Chang Heon
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Advanced Functional Materials, EarlyView.We propose a suture‐complementary approach that integrates optical skin clearing with a strain‐programmable luminescent adhesive patch. Hyaluronic acid promotes transdermal delivery of tartrazine to improve optical clearing and stabilizes its interaction with a photosensitizer. Optical clearing increases the penetration depth of visible light into skin,
Seong‐Jong Kim +6 more
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Advanced Functional Materials, EarlyView.P4bm framework in NaNbO3‐Ba(Ti, Hf)O3 ferrodistortive relaxor entails short‐range and highly‐polar ferrodistortive orders. The abundant highly‐polar orders facilitate to increase entropy change, and robust octahedral oxygen tilt enables to impede thermal perturbations.
Feng Li +11 more
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Some remarks on the Melnikov function
Electronic Journal of Differential Equations, 2002 We study the Melnikov function associated with a periodic perturbation of a differential equation having a homoclinic orbit. Our main interest is the characterization of perturbations that give rise to vanishing or non-vanishing of the Melnikov function.
Flaviano Battelli, Michal Feckan
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An Optimal Pufferfish Privacy Mechanism for Temporally Correlated Trajectories
IEEE Access, 2018 Temporally correlated trajectories are ubiquitous, and it has been a challenging problem to protect the temporal correlation from being used against users' privacy.
Lu Ou +4 more
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Convex functions and Fourier coefficients [PDF]
Proceedings of the American Mathematical Society, 1985 Let f f be a continuous function defined on the interval
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