Fourier–Deligne transform

The Fourier–Deligne Transform is a mathematical tool used to make it easier to study the way that different types of waves (like sound waves or light waves) pass through something. To use this tool, you start by breaking down the waves into something called sine and cosine waves. Then, you use the Fourier–Deligne Transform to put the sine and cosine waves back together, but in a way that makes it easier to see what's happening. This can help scientists create new technology, like better ways to send sound or light through things like wires, or new ways to study the way that waves move.