Results 271 to 280 of about 51,880 (308)
A spatio-temporal graph wavelet neural network (ST-GWNN) for association mining in timely social media data. [PDF]
Sci RepWang P, Wen Z.
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Box-meter integrated solution for power data imputation through device design and deep learning integration. [PDF]
Sci RepGao C, Lin H, Lin Y.
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Automated Brain Tumor MRI Segmentation Using ARU-Net with Residual-Attention Modules. [PDF]
Diagnostics (Basel)Özbay E, Altunbey Özbay F.
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MBSCL-Net: Multi-Branch Spectral Network and Contrastive Learning for Next-Point-of-Interest Recommendation. [PDF]
Sensors (Basel)Wang S, Zhang J, Zeng T.
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A MONOTONIC CONVOLUTION FOR MINKOWSKI SUMS [PDF]
International Journal of Computational Geometry & Applications, 2007 We present a monotonic convolution for planar regions A and B bounded by line and circular arc segments. The Minkowski sum equals the union of the cells with positive crossing numbers in the arrangement of the convolution, as is the case for the kinetic convolution.
Victor Milenkovic, Elisha Sacks
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SIAM Journal on Mathematical Analysis, 1972
Let $\Omega $ be an open set in $R_n $ and let $\mathcal{E}(\Omega )$ denote the space of infinitely differentiable functions on $\Omega $. Necessary and sufficient conditions are exhibited for a family $\{ \Omega _i \} _{i = 1}^N $ of open sets in $R_n$ and a family $\{ S_i \} _{i = 1}^N \subset \mathcal{E}'(R_n )$ in order that the convolution ...
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Let $\Omega $ be an open set in $R_n $ and let $\mathcal{E}(\Omega )$ denote the space of infinitely differentiable functions on $\Omega $. Necessary and sufficient conditions are exhibited for a family $\{ \Omega _i \} _{i = 1}^N $ of open sets in $R_n$ and a family $\{ S_i \} _{i = 1}^N \subset \mathcal{E}'(R_n )$ in order that the convolution ...
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Sums with convolutions of Dirichlet characters
manuscripta mathematica, 2010We bound short sums of the form \({\sum_{n\le X}(\chi_1{*}\chi_2)(n)}\), where χ1*χ2 is the convolution of two primitive Dirichlet characters χ1 and χ2 with conductors q1 and q2, respectively.
William D. Banks, Igor E. Shparlinski
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On Convoluted Numbers and Sums
The American Mathematical Monthly, 1967(1967). On Convoluted Numbers and Sums. The American Mathematical Monthly: Vol. 74, No. 3, pp. 235-246.
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A generalization of regular convolutions and Ramanujan sums
The Ramanujan Journal, 2020Regular convolutions of arithmetical functions were first defined by Narkiewicz (Colloq Math 10:81–94, 1963). Useful identities regarding generalizations of the totient-counting function and Ramanujan sums were later proven for regular convolutions by McCarthy (Port Math 27(1):1–13, 1968) and Rao (Studies in arithmetical functions, PhD thesis, 1967 ...
Joseph Vade Burnett +1 more
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