A differentiable fractional Fourier transform (FRFT) implementation with layers that can be trained end-to-end with the rest of the network. This package provides implementations of both fast ...

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 ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

Learn prompt engineering with this practical cheat sheet that covers frameworks, techniques, and tips for producing more accurate and useful AI outputs. Every day, millions of people type something ...

The spin-off company ParityQC has implemented the largest quantum Fourier transform ever reported using an IBM quantum computer, thereby setting a new milestone on the path toward the industrial ...

In this video I will work through 22 different examples of solving two-step equations using a worksheet I created for my students. I will use the properties of equality, inverse operations, and ...

In 2002, an unknown mathematician quietly posted a paper online that stunned the academic world. It solved a problem that had defeated the greatest minds for over a century. A $1 million prize and the ...

President Trump said he solved eight wars at the first meeting of the Board of Peace on Feb. 19. The eight wars figure also includes two disputes from Trump's first term and one where the U.S. is not ...

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...