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 ...

Given a (periodic) function $f$ I would like to implement its convolution operator $C_f$, i.e. an operator that I can later apply on a function to give $C_f g = \int ...

The casual convolution function currently considers two array's of equal dimensions, however, the generated kernel is defined to be a one-dimensional array by the 'kernel_dplr' function.

Elastic full waveform inversion (EFWI) is a powerful technique. However, its strong non-linearity makes it susceptible to converging towards local extremes during the iterative process due to various ...

Abstract: In audio measuring system, high-precision intermodulation distortion analysis is an important method of measuring distortion. research in the accuracy of convolution window in the audio ...

ABSTRACT: The Galerkin method of weighted residual (MWR) for computing natural frequencies of some physical problems such as the Helmholtz equation and some second-order boundary value problems has ...

The notion of Feynman amplitude associated with a graphG in perturbative quantum field theory admits a generalized version in which each vertexv ofG is associated with ageneral ...

1 Department of Electrical and Computer Engineering, University of Dayton, Dayton, OH, USA 2 L-3 Cincinnati Electronics, Mason, OH, USA In many undersampled imaging systems, spatial integration from ...