# Continued-fractions meaning

Plural form of

*continued fraction.*noun

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Plural form of *continued fraction.*

noun

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be proper fractions, and the value of every one of the interminate continued fractions l!1 a2.

Should B or C, or both, be at once inconveniently large, and orime, then, instead of the exact ratio B/C some ratio anproxlmat:ng to that ratio, and capable of resolution into convenient factors, is to be found by the method of continued fractions.

CONTINUED FRACTIONS.

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.

Simple Continued Fractions.