continued fraction


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con·tin·ued fraction

(kən-tĭn′yo͞od)
n.
A whole number plus a fraction whose numerator is a whole number and whose denominator is a whole number plus a fraction that has a denominator consisting of a whole number plus a fraction, and so on, such as 2 + 1/(3 + 7/(1 + 2/3)).
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

continued fraction

n
(Mathematics) a number plus a fraction whose denominator contains a number and a fraction whose denominator contains a number and a fraction, and so on
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

contin′ued frac′tion


n.
a fraction whose denominator contains a fraction whose denominator contains a fraction and so on.
[1860–65]
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.continued fraction - a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on
fraction - the quotient of two rational numbers
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
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Any finite continued fraction represents a rational number [8].
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On the expansion of Ramanujan's continued fraction of order sixteen
As in the classical context of real numbers, we have a continued fraction algorithm in K(([X.sup.-1])).
On the approximation exponent of some hyperquadratic power series
This section presents the method of synthesizing the distribution of characteristics on a continued fraction making it possible to obtain the parameters and the model of a single-axis system.
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We will be concerned with the simple continued fraction expansions of [square root of D] where D is an integer that is not perfect square.
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The simple and pretty continued fraction expression suggests that there might be other pretty formulae involving [square root of 2].
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It has also been stated in terms of a continued fraction by Read [Rea79], so that the Touchard-Riordan formula is:
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