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If one draws the data-flow diagram for this pair of operations, the (x 0, x 1) to (y 0, y 1) lines cross and resemble the wings of a butterfly, hence the name (see also the illustration at right). A decimation-in-time radix-2 FFT breaks a length-N DFT into two length-N/2 DFTs followed by a combining stage consisting of many butterfly operations.
Photographic and light microscopic images: Zoomed-out view of an Aglais io.: Closeup of the scales of the same specimen. High magnification of the coloured scales (probably a different species).
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