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, ...

Abstract: Two dimensional Fourier transform is a powerful tool for image processing, especially in the field of image restoration and filtration. But also it is useful for detection of periodicities ...

Throughout its history, the country has taken imports and changed them into something else entirely. By Pico Iyer Illustrations by Ilya Milstein A Japanese sentence is often as mongrel as a Japanese ...

Despite being the most abundant element in the universe, making cheap, clean hydrogen here on Earth has been a surprisingly tough nut to crack. “Hydrogen has always been plagued with a couple problems ...

These engineers made their childhood dreams come true when they created a car that could transform into a giant robot. They tested out their project and watched the machine seamlessly move from car ...

MATLAB implementation of Discrete Fourier Transform (DFT) for image processing, including manual and built-in DFT verification, magnitude-phase spectrum analysis, shifting, rotation, and ...

Modern technology offers new possibilities for transforming teaching. By Anant Agarwal Anant Agarwal is an education innovator. This personal reflection is part of a series called Turning Points, in ...

Since Shein became the world’s most popular online shopping destination—with seemingly unbeatable prices, and influencers posting “haul” videos to show off their purchases on social media—the Chinese ...

Microsoft Office Excel contains a data analysis add-in that allows to to perform a Fourier analysis of a series of numbers. So named for the French mathematician who developed the analytic technique ...

Abstract: The fractional Fourier transform (FRFT) parametrically generalizes the Fourier transform (FT) by a transform order, representing signals in intermediate time-frequency domains. The FRFT has ...

After working in the field for 61 years—longer than anyone else alive—I am gratified to see AI at the heart of global conversation. Yet most commentary misses how large language models like ChatGPT ...