单词	continued fraction
释义	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 Example Sentences Recent Examples on the Web 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. 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 Word History First Known Use 1811, in the meaning defined above
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