Restricted Partial Quotients
In mathematics, and more particularly in the analytic theory of regular continued fractions, an infinite regular continued fraction x is said to be restricted, or composed of restricted partial quotients, if the sequence of denominators of its partial quotients is bounded; that is
and there is some positive integer M such that all the (integral) partial denominators ai are less than or equal to M.
Read more about Restricted Partial Quotients: Periodic Continued Fractions, Restricted CFs and The Cantor Set, See Also
Famous quotes containing the words restricted and/or partial:
“One thing that literature would be greatly the better for
Would be a more restricted employment by authors of simile and
metaphor.”
—Ogden Nash (1902–1971)
“And meanwhile we have gone on living,
Living and partly living,
Picking together the pieces,
Gathering faggots at nightfall,
Building a partial shelter,
For sleeping and eating and drinking and laughter.”
—T.S. (Thomas Stearns)