The Bomem DA3 is a type of Fourier transform spectrometer used for measuring various spectral data and [Usagi Electric] has one. On his quest to understand it he runs down a number of rabbit holes, ...

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...

In this work, we present the generalized Fourier transform and action-angle variables for the local/nonlocal derivative nonlinear Schrödinger equations. The generalized Fourier transform, derived from ...

Energy-efficient spikformer has been proposed by integrating the biologically plausible spiking neural network (SNN) and artificial transformer, whereby the spiking self-attention (SSA) is used to ...

Department of Chemistry, The University of Texas at Austin, Austin, Texas 78712, United States ...

Abstract: A short-time holomorphic Fourier transform is introduced, which is holomorphic regardless of the chosen window function. Based on the holomorphic properties and the Wirtinger derivative ...

An extension to numpy using discrete fourier transforms to compute the curl of 2D and 3D functions. This produces results far more accurate than using 10th-order finite difference derivatives (which ...

Several studies have found that the vertical Fourier transform of lidar, interferometric Synthetic Aperture Radar (SAR), and stereo photogrammetric profiles at empirically-determined spatial ...