Irrational Base Discrete Weighted Transform

In mathematics, the irrational base discrete weighted transform (IBDWT) is a variant of the fast Fourier transform using an irrational base; it was developed by Richard Crandall (Reed College), Barry Fagin (Dartmouth College) and Joshua Doenias (NeXT Software) in the early 1990s using Mathematica.

The IBDWT is used in the Great Internet Mersenne Prime Search's Prime95 client to perform FFT multiplication.

Famous quotes containing the words irrational, base, discrete and/or transform:

    For a woman to get a rewarding sense of total creation by way of the multiple monotonous chores that are her daily lot would be as irrational as for an assembly line worker to rejoice that he had created an automobile because he tightened a bolt.
    Edith Mendel Stern (1901–1975)

    For those who are base in judgement do not know the good they hold in their hands until they cast it off.
    Sophocles (497–406/5 B.C.)

    The mastery of one’s phonemes may be compared to the violinist’s mastery of fingering. The violin string lends itself to a continuous gradation of tones, but the musician learns the discrete intervals at which to stop the string in order to play the conventional notes. We sound our phonemes like poor violinists, approximating each time to a fancied norm, and we receive our neighbor’s renderings indulgently, mentally rectifying the more glaring inaccuracies.
    W.V. Quine (b. 1908)

    Americans, unhappily, have the most remarkable ability to alchemize all bitter truths into an innocuous but piquant confection and to transform their moral contradictions, or public discussion of such contradictions, into a proud decoration, such as are given for heroism on the battle field.
    James Baldwin (1924–1987)