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:
“It is not to be forgotten that what we call rational grounds for our beliefs are often extremely irrational attempts to justify our instincts.”
—Thomas Henry Huxley (182595)
“And all the popular statesmen say
That purity built up the State
And after kept it from decay;
Admonish us to cling to that
And let all base ambition be,
For intellect would make us proud....”
—William Butler Yeats (18651939)
“The mastery of ones phonemes may be compared to the violinists 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 neighbors 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 (19241987)