Noun

- plural form of
*convergent*

Noun

- plural form of
*convergent*

English Wiktionary. Available under CC-BY-SA license.

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**MLA Style**

"convergents." YourDictionary, n.d. Web. 12 December 2018. <https://www.yourdictionary.com/convergents>.

**APA Style**

convergents. (n.d.). Retrieved December 12th, 2018, from https://www.yourdictionary.com/convergents

- Another example of a sequence is afforded by the successive
**convergents**to a continued fraction of the form ao+ I I, al+ a2+ï¿½ where ao,a 1, a 2, ... - Denoting these
**convergents**by Po/Qo, P1/Q1, P2/Q2, ... - The exact determination of the appearances in any given case is a mere problem of
**convergents**to a continued fraction. - A2 a3 a 4 Ia2 la3 la4 The terminating continued fractions b 2 b2 b 3 b, b, b4 al, a1 + ?2, al-1 7:2+Z' al' + a2 reduced to the forms ala2a3+b2a3+ b2a1 a2 a2a3 b3 ala2a3a4+b2a3a4+b3a,a4+b4a,a2 +b2b4 a2a,a4+a4b3+a2b4 ' are called the successive
**convergents**to the general continued fraction. - The numerators and denominators of the successive
**convergents**obey the law p n g n _ l - pn-1qn = (- O n, from which it follows at once that every convergent is in its lowest terms. The other principal properties of the**convergents**are The odd**convergents**form an increasing series of rational fractions continually approaching to the value of the whole continued fraction; the even**convergents**form a decreasing series having the same property.

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