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continued fraction

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con·tin·ued fraction (kn-tnyd)
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)).

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
ThesaurusLegend:  Synonyms Related Words Antonyms
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


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x any real number) Continued fractions (a) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (b) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (c) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] We shall investigate this very special number e further in coming issues of AMT.
Articles are grouped in sections on arithmetic, primes, irrationality and continued fractions, sums of squares and polygonal numbers, Fibonacci numbers, number-theoretic functions, and elliptic curves, cubes, and Fermat's last theorem.
1 can be used to evaluate the Ramanujan's cubic continued fraction.
 
 
 
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