Fourier Transform, Data Science, Applied Mathematics, Mathematics, Computer Science.
ranges from 0 to n-1 and is x₀ an arbitrarily chosen leftmost point. Then, we can approximate the integral as Now, we must similarly discretize the variable k: let us sample it at n evenly-spaced points kₗ = l Δk. Then the integral becomes This is almost in the form specified by Numpy; a final