Results 81 to 90 of about 471,906 (281)
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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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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Advanced Functional Materials, EarlyView.A miniaturized mechano‐acoustic sensor is developed using an electrospun PVDF nanomesh as the diaphragm in a capacitive sensor structure. Unlike conventional nanomesh‐based sensors, it achieves high linear sensitivity, a broad and flat frequency response, and a compact form factor.
Jeng‐Hun Lee +8 more
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Advanced Functional Materials, EarlyView.A food‐grade cooling composite made from starch and recycled eggshell powder offers a scalable, ultra‐low‐cost solution for passive daytime radiative cooling. Easily prepared using basic kitchen tools, this material empowers communities, even in areas with limited infrastructure, to stay cooler during worsening summer heat waves.
Qimeng Song +3 more
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Advanced Functional Materials, EarlyView.A multifunctional nanodiamond platform enables pH‐triggered Diazoxide (DZX) delivery and quantum sensing of subcellular radical dynamics in triple‐negative breast cancer cells. Diamond relaxometry revealed reduced lysosomal radicals during DZX‐induced mitochondrial radical elevation, providing insights into redox modulation and organelle‐ resolved ...
Kaiqui Wu +8 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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The Empirical Distribution of Fourier Coefficients
The Annals of Statistics, 1980 Suppose $X_1, X_2, \cdots$ are independent, identically distributed complex-valued $L^2$ random variables with $EX_1 = 0$ and $E(|X_1|^2) = 1$. Let $Y_{nk}$ be the $k$th Fourier coefficient of $X_1, \cdots, X_n$: $Y_{nk} = \sum^n_{j=1} X_j \exp \big(\frac{2\pi(-1)^{1/2}kj}{n}\big).$ Let $\mu_n$ be the empirical distribution of $\{n^{-1/2}Y_{nk}: k = 1,
Freedman, David, Lane, David
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Light‐Responsive Enzyme‐Loaded Nanoparticles for Tunable Adhesion and Mechanical Wound Contraction
Advanced Functional Materials, EarlyView.This study presents a photoactivatable enzyme‐loaded mesoporous nanoparticle system (MPDA_PaTy) that enables light‐triggered tunable tissue adhesion and facilitates mechanical wound contraction. Controlled enzymatic crosslinking at tissue or hydrogel interfaces allows on‐demand adhesion.
Junghyeon Ko +10 more
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The sufficient condition of embedding in the Lorentz space
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 In this paper considered the transformation of a series of Fourier-Price in the form k - th difference of the Fourier-Price coefficients. In addition, obtained a sufficient condition the belonging of the function f in a two - parameter Lorentz space in ...
А.U. Bimendina
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