Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa. where , and are real numbers. This class includes the well-known Lax [1], Sawada-Kotera (SK) [2], ...
The structure of proteins involves 3D geometry of amino acid coordinates and 1D sequence of peptide chains. The 3D structure exhibits irregularity because amino acids are distributed unevenly in ...
Abstract: We derive expressions for convolution multiplication properties of discrete cosine transform II (DCT II) starting from equivalent discrete Fourier transform (DFT) representations. Using ...
A desktop application built with Python to provide an intuitive, animated visualization of discrete and continuous time convolution and correlation. This tool is designed for students, educators, and ...
Our research proves a conjecture from string theory asserting the vanishing of a specific convolution sum arising in the 4-graviton scattering amplitude in 10-dimensional type IIB string theory. The ...
Abstract: This paper discusses the use of symmetric convolution and the discrete sine and cosine transforms (DSTs and DCTs) for general digital signal processing. The operation of symmetric ...
Light-weight convolutional neural networks (CNNs) suffer performance degradation as their low computational budgets constrain both the depth (number of convolution layers) and width (number of ...
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