Why is i the square root of minus one?
Euler's Identity: https://bit.ly/3gGVQLJ
How the Fourier Transform Works: https://bit.ly/3DtgXuI

Why is i the square root of minus one? How can any number squared ever be negative? Any minus number multiplied by itself always gives a positive result; everyone knows that. So how can i be the square root of minus one?

The #ImaginaryNumber i is an integral part of any algorithm that uses sines and cosines like the #FourierTransform. So to properly understand it, we're going to have to go back to basics and ask ourselves what do #numbers mean?

00:00 Introduction
00:39 Ident
00:51 The basic concept of numbers
03:09 Geometric Transformations
04:11 Squaring a positve number
04:46 Squaring a negative number
06:35 The Imaginary Dimension
08:10 The number i
09:22 Is i of any use?
10:01 i and the Fourier Transform