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Everyone agrees that the Fast Fourier Transform (FFT) has revolutionized digital signal processing. However, no one knows with certainty the true history of the FFT. I had been as confused as everybody else until one day when I found in an old book store at Harvard Square a manuscript by Kipling which contained some unpublished Just-So Stories, one of which was entitled, "How the Fast Fourier Transform Got its Name." The time has now come to publish this historical account to quiet all rumors and hearsay.