Results 11 to 20 of about 28,962 (257)
CONVOLUTION SUMS INVOLVING THE DIVISOR FUNCTION [PDF]
Proceedings of the Edinburgh Mathematical Society, 2004 AbstractThe series\begin{alignat*}{2} L_{r,4}(q)\amp=\sum_{n=0}^\infty\sigma(4n+r)q^{4n+r},\amp\quad r\amp=0,1,2,3, \\ M_{r,4}(q)\amp=\sum_{n=0}^\infty\sigma_3(4n+r)q^{4n+r},\amp\quad r\amp=0,1,2,3, \\ N_{r,4}(q)\amp=\sum_{n=0}^\infty\sigma_5(4n+r)q^{4n+r},\amp\quad r\amp=0,1,2,3, \end{alignat*}are evaluated and used to prove convolution formulae such ...
Cheng, Nathalie, Williams, Kenneth S.
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Lietuvos Matematikos Rinkinys, 2019 It is assumed that linear time-invariant (LTI) system input signal samples are updated by a sensor in real time. It is urgent for every new input sample or for small part of new samples to update an ordinary convolution as well.
Rimantas Pupeikis
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EFFICIENT LINE DETECTION METHOD BASED ON 2D CONVOLUTION FILTER
Informatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2021 The article proposes an efficient line detection method using a 2D convolution filter. The proposed method was compared with the Hough transform, the most popular method of straight lines detection. The developed method is suitable for local detection of
Paweł Kowalski, Piotr Tojza
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Evaluation of the convolution sums ∑al+bm=n lσ(l) σ(m) with ab ≤ 9
Open Mathematics, 2017 The generating functions of divisor functions are quasimodular forms of weight 2 and their products belong to a space of quasimodular forms of higher weight.
Park Yoon Kyung
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Eisenstein series and convolution sums [PDF]
The Ramanujan Journal, 2018 14 ...
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DTS-SNN: Spiking Neural Networks With Dynamic Time-Surfaces
IEEE Access, 2022 Convolution helps spiking neural networks (SNNs) capture the spatio-temporal structures of neuromorphic (event) data as evident in the convolution-based SNNs (C-SNNs) with the state-of-the-art classification-accuracies on various datasets.
Donghyung Yoo, Doo Seok Jeong
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On the solution of the convolution equation with a sum-difference kernel
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The paper deals with the integral equations of the second kind with a sumdifference kernel. These equations describe a series of physical processes in a medium with a reflective boundary.
Ani G Barseghyan
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A sieve method for shifted convolution sums [PDF]
Duke Mathematical Journal, 2009 To appear in Duke Math. J.
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Fusion of Panchromatic and Multispectral Images Using Multiscale Convolution Sparse Decomposition
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2021 In this article, we proposed a novel image fusion method based on multiscale convolution sparse decomposition (MCSD). A unified framework based on MCSD is first utilized to decompose panchromatic (PAN) image and the spatial component of upsampled low ...
Kai Zhang +4 more
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Asymptotic behavior of solutions of discrete Volterra equations [PDF]
Opuscula Mathematica, 2016 We consider the nonlinear discrete Volterra equations of non-convolution type \[\Delta^m x_n=b_n+\sum\limits_{i=1}^{n}K(n,i)f\left(i,x_i\right), \quad n\geq 1.\] We present sufficient conditions for the existence of solutions with prescribed asymptotic ...
Janusz Migda, Małgorzata Migda
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