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)
“You see how this House of Commons has begun to verify all the ill prophecies that were made of itlow, vulgar, meddling with everything, assuming universal competency, and flattering every base passionand sneering at everything noble refined and truly national. The direct tyranny will come on by and by, after it shall have gratified the multitude with the spoil and ruin of the old institutions of the land.”
—Samuel Taylor Coleridge (17721834)
“One can describe a landscape in many different words and sentences, but one would not normally cut up a picture of a landscape and rearrange it in different patterns in order to describe it in different ways. Because a photograph is not composed of discrete units strung out in a linear row of meaningful pieces, we do not understand it by looking at one element after another in a set sequence. The photograph is understood in one act of seeing; it is perceived in a gestalt.”
—Joshua Meyrowitz, U.S. educator, media critic. The Blurring of Public and Private Behaviors, No Sense of Place: The Impact of Electronic Media on Social Behavior, Oxford University Press (1985)
“The inspired scribbler always has the gift for gossip in our common usage ... he or she can always inspire the commonplace with an uncommon flavor, and transform trivialities by some original grace or sympathy or humor or affection.”
—Elizabeth Drew (18871965)