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Offered by University of California San Diego. import numpy as np def DFT(x): """ Compute the discrete Fourier Transform of the 1D array x :param x: (array) """ N = x.size n = np.arange(N) k = n.reshape((N, 1)) e = np.exp(-2j * np.pi * k * n / N) return np.dot(e, x) However if we run this code on our time signal, wich contains approximately 10,000 values, it takes over 10 seconds to compute! The "International Edition" I got is actually the Fourth Edition of the Rosen's Discrete Math books. Download Slide Deck. The Integers and Division Primes and Greatest Common Divisor Applications Primes Primes De nition A positive integer p > 1 is called prime if the only positive factors of p are 1 and p. A positive integer that is greater than one and is not prime is called composite. • Step-by-step solutions to millions of textbook and homework questions! 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