Linear transforms — like a Fourier transform — are a key math tool in engineering and science. A team from UCLA recently published a paper describing how they used deep learning techniques to design ...

When last we saw [xoreaxeax], he had built a lens-less optical microscope that deduced the structure of a sample by recording ...

Mathematicians are still trying to understand fundamental properties of the Fourier transform, one of their most ubiquitous ...

Our understanding of the universe changed a bit in April, 2019 when an international team of astronomers coordinated an octet of telescopes spread across the globe to capture the first photographic ...

FTIR deals with the infrared region of the electromagnetic spectrum, and it works by measuring how much light is absorbed by the bonds of vibrating molecules to provide a molecular fingerprint. The ...

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®, ...

Built upon the ubiquitous Fourier transform, the mathematical tools known as wavelets allow unprecedented analysis and understanding of continuous signals. In an increasingly data-driven world, ...

The Fast Fourier Transform allows computers to take complex signals and break them into their underlying frequencies. This single idea makes it possible to analyze sound, images, radio waves, and even ...

Let f(u) be the Fourier-Stieltjes transform of a real or complex-valued function F(α) of bounded variation on (— ∞, ∞). It is shown that if f(u) belongs to L2 on an interval of infinite range, then ...