Data Science, Audio, Mathematics, Computer Science, Deep Dives.
(ranging from k = 0 to k = N — 1 = 7). Consequently, we need to calculate the following: Let us simplify the calculations by taking α = exp{-2πi/N}. Thus, all we need is: and so on for all 8 values of k. This is quite a lengthy calculation. Can we do better? Of course, we can use a simple Python