Restricted partial quotients
id:
restricted-partial-quotients-178-12416415
title:
Restricted partial quotients
text:
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
- x = [ a 0 ; a 1, a 2, … ] = a 0 + 1 a 1 + 1 a 2 + 1 a 3 + 1 a 4 + ⋱ = a 0 + K ∞ i = 1 1 a i, and there is some positive integer M such that all the (integral) partial denominators ai are less than or equal to M.
brand slug:
wiki
category slug:
encyclopedia
description:
Analytic series
original url:
https://en.wikipedia.org/wiki/Restricted_partial_quotients
date created:
2007-04-30T20:50:37Z
date modified:
2024-09-04T17:59:20Z
main entity:
{"identifier":"Q7316303","url":"https://www.wikidata.org/entity/Q7316303"}
image:
fields total:
13
integrity:
15