continued fraction

noun Mathematics.
a fraction whose denominator contains a fraction whose denominator contains a fraction, and so on.

Origin:
1860–65

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World English Dictionary
continued fraction
 
n
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 & Unabridged 10th Edition
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Encyclopedia Britannica
Encyclopedia

continued fraction

expression of a number as the sum of an integer and a quotient, the denominator of which is the sum of an integer and a quotient, and so on. In general,

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Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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Example sentences
The continued fraction elements do not appear to follow any pattern and are widely suspected to be in some sense random.
Coulomb wave functions used in the optical model are calculated by the continued fraction method.
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