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by StarlaAtNight 1163 days ago
I asked ChatGPT to explain the intro section of this article like I'm five:

""" Fourier analysis is like playing with music notes. We have different ways of looking at these notes, like how high or low they are, or how long they last. In the same way, we have different ways of looking at signals and how they change over time or space.

Just like how we can make different types of music by combining different notes in different ways, we can make different types of signals by combining different types of Fourier analysis.

There are four classic ways to do Fourier analysis, and each one is like a different way of looking at the signal. They're like different types of glasses we can put on to see the signal more clearly.

But there are also other ways to do Fourier analysis, like looking at signals on different types of spaces or using different types of math. It's like having even more types of glasses to look at the signal!

So when you ask a mathematician what Fourier analysis is, they might give you a different answer depending on which type of glasses they like to wear. """