In this paper, we prove an exponential integral formula for the Fourier transform of Bessel functions over complex numbers, along with a radial exponential integral formula. The former will enable us ...
A new study finds that a 200-year-old technique called Fourier analysis can reveal crucial information about how the form of artificial intelligence called deep neural networks (DNN) learn to perform ...
BELLINGHAM, Washington, USA - Joe Goodman, an international expert in Fourier optics, statistical optics, and speckle phenomena, has published his latest book, Fourier Transforms Using Mathematica®, ...
In January, four MIT researchers showed off a replacement for one of the most important algorithms in computer science. Dina Katabi, Haitham Hassanieh, Piotr Indyk, and Eric Price have created a ...
The study of Hilbert transforms and oscillatory integrals has long been a focal point in harmonic analysis, embedding profound implications across pure and applied mathematics. The Hilbert transform, ...
Hamamatsu Photonics launches the most compact Fourier Transform - Near Infrared (FT-NIR) Spectrometer Engine currently on the market. It is capable of producing up to 275 spectra per second with a ...
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