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)
“You must not be partial in judging: hear out the small and the great alike; you shall not be intimidated by anyone, for the judgment is God’s.”
—Bible: Hebrew, Deuteronomy 1:17.