Mathematical Physics
The Cooley-Tukey algorithm is a highly efficient method for computing the Discrete Fourier Transform (DFT) and its inverse. It exploits the symmetry and periodicity properties of the Fourier transform to reduce the computational complexity, making it a cornerstone technique in digital signal processing and various applications in mathematical physics. By breaking down larger DFTs into smaller ones, the algorithm achieves a significant speed-up compared to direct computation.
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