Maths with Complex Numbers

How the Fourier Transform Works, Lecture 5 | Maths with Complex Numbers
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The mathematical beauty of ‘i’, the square route of minus 1, is all very well, but what use to us is a number that cannot be calculated? Well in the Fourier Transform, ‘i’ serves a very important purpose indeed. It keeps things separate, and that is exactly what we want from an algorithm that breaks a signal apart into its constituent sine waves. How does ‘i’ keep things separate and how does this help us?

This is the seventh in this series of videos which take a new and visual look at the maths behind the magic of how the Fourier Transform works.

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Видео Maths with Complex Numbers канала Mark Newman