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:
“Language can only deal meaningfully with a special, restricted segment of reality. The rest, and it is presumably the much larger part, is silence.”
—George Steiner (b. 1929)
“The only coöperation which is commonly possible is exceedingly partial and superficial; and what little true coöperation there is, is as if it were not, being a harmony inaudible to men. If a man has faith, he will coöperate with equal faith everywhere; if he has not faith, he will continue to live like the rest of the world, whatever company he is joined to.”
—Henry David Thoreau (1817–1862)