continued fraction
noun
: 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
Examples of continued fraction in a Sentence
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Like its transcendental cousin π, e can be represented in countless ways — as the sum of infinite series, an infinite product, a limit of infinite sequences, an amazingly regular continued fraction, and so on.
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Quanta Magazine, 24 Nov. 2021
Continued fractions are approximations; as the height of the tower of numerators and denominators grows, the continued fraction approximation gets closer to the irrational number being approximated.
—Evelyn Lamb, Popular Mechanics, 23 Feb. 2021
The insight of the continued fraction approach to solving Pell’s equation is that when x and y are large, a difference of 1 is relatively small.
—Evelyn Lamb, Popular Mechanics, 23 Feb. 2021
That’s step one in converting to a continued fraction.
—Popular Mechanics, 21 Feb. 2021
Quanta Magazine, 24 Nov. 2021
Continued fractions are approximations; as the height of the tower of numerators and denominators grows, the continued fraction approximation gets closer to the irrational number being approximated.
—Evelyn Lamb, Popular Mechanics, 23 Feb. 2021
The insight of the continued fraction approach to solving Pell’s equation is that when x and y are large, a difference of 1 is relatively small.
—Evelyn Lamb, Popular Mechanics, 23 Feb. 2021
That’s step one in converting to a continued fraction.
—Popular Mechanics, 21 Feb. 2021
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“Continued fraction.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/continued%20fraction. Accessed 31 Oct. 2024.
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