A key algorithm that quietly empowers and simplifies our electronics is the Fourier transform, which turns the graph of a signal varying in time into a graph that describes it in terms of its ...

The Fourier transform is an important mathematical tool that decomposes a function or dataset into a its constituent frequencies, much like one could decompose a musical chord into a combination of ...

The Fourier transform is one of the most fundamental concepts in the information sciences. It’s a method for representing an irregular signal — such as the voltage fluctuations in the wire that ...

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 ...

March 21 marks the 250th birthday of one of the most influential mathematicians in history. He accompanied Napoleon on his expedition to Egypt, revolutionized science’s understanding of heat transfer, ...

When it comes to mathematics, the average person can probably get through most of life well enough with just basic algebra. Some simple statistical concepts would be helpful, and a little calculus ...

Fractional transforms extend classical integral transforms by introducing a continuous parameter that governs the interpolation between time and frequency domains. The fractional Fourier transform ...

Lie groups furnish a unifying framework in which group theory and smooth geometry intersect. As smooth manifolds endowed with a group operation that is infinitely differentiable, Lie groups serve as ...