Plurrrr

ome terms: The Fast Fourier Transform is an algorithm optimization of the DFT Discrete Fourier Transform. The “discrete” part just means that it’s an adaptation of the Fourier Transform, a continuous process for the analog world, to make it suitable for the sampled digital world. Most of the discussion here addresses the Fourier Transform and its adaptation to the DFT. When it’s time for you to implement the transform in a program, you’ll use the FFT for efficiency. The results of the FFT are the same as with the DFT; the only difference is that the algorithm is optimized to remove redundant calculations. In general, the FFT can make these optimizations when the number of samples to be transformed is an exact power of two, for which it can eliminate many unnecessary operations.

The chimneys of industry rise over Adua and the world seethes with new opportunities. But old scores run deep as ever. On the blood-soaked borders of Angland, Leo dan Brock struggles to win fame on the battlefield, and defeat the marauding armies of Stour Nightfall. He hopes for help from the crown. But King Jezal's son, the feckless Prince Orso, is a man who specializes in disappointments. Savine dan Glokta -- socialite, investor, and daughter of the most feared man in the Union -- plans to claw her way to the top of the slag-heap of society by any means necessary. But the slums boil over with a rage that all the money in the world cannot control. The age of the machine dawns, but the age of magic refuses to die. With the help of the mad hillwoman Isern-i-Phail, Rikke struggles to control the blessing, or the curse, of the Long Eye. Glimpsing the future is one thing, but with the guiding hand of the First of the Magi still pulling the strings, changing it will be quite another . . .