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continued fraction
noun
, Mathematics.
- a fraction whose denominator contains a fraction whose denominator contains a fraction, and so on.
continued fraction
noun
- a number plus a fraction whose denominator contains a number and a fraction whose denominator contains a number and a fraction, and so on
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Word History and Origins
Origin of continued fraction1
First recorded in 1860–65
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Example Sentences
If a or b is unity, a/b cannot be converted into a continued fraction with unit numerators, and the above method fails.
From Project Gutenberg
The continued fraction is therefore incommensurable, and cannot be unity.
From Project Gutenberg
He had not then the continued fraction, a mode of representation which he gave the next year in his work on the square root.
From Project Gutenberg
The simple continued fraction is both the most interesting and important kind of continued fraction.
From Project Gutenberg
Similarly the continued fraction given by Euler as equivalent to (e - 1) (e being the base of Napierian logarithms), viz.
From Project Gutenberg
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