Continued fraction
Continued Con*tin"ued, p. p. & a. Having extension of time, space, order of events, exertion of energy, etc.; extended; protracted; uninterrupted; also, resumed after interruption; extending through a succession of issues, session, etc.; as, a continued story. ``Continued woe.'' --Jenyns. ``Continued succession.'' --Locke. [1913 Webster]

{Continued bass} (Mus.), a bass continued through an entire piece of music, while the other parts of the harmony are indicated by figures beneath the bass; the same as thorough bass or figured bass; basso continuo. [It.]

{Continued fever} (Med.), a fever which presents no interruption in its course.

{Continued fraction} (Math.), a fraction whose numerator is 1, and whose denominator is a whole number plus a fraction whose numerator is 1 and whose denominator is a whole number, plus a fraction, and so on.

{Continued proportion} (Math.), a proportion composed of two or more equal ratios, in which the consequent of each preceding ratio is the same with the antecedent of the following one; as, 4 : 8 : 8 : 16 :: 16 : 32. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • Continued fraction — Fraction Frac tion, n. [F. fraction, L. fractio a breaking, fr. frangere, fractum, to break. See {Break}.] 1. The act of breaking, or state of being broken, especially by violence. [Obs.] [1913 Webster] Neither can the natural body of Christ be… …   The Collaborative International Dictionary of English

  • continued fraction — n. a fraction whose denominator consists of a whole number plus a fraction whose denominator consists of a whole number plus a fraction, and so forth …   English World dictionary

  • Continued fraction — Finite continued fraction, where a0 is an integer, any other ai are positive integers, and n is a non negative integer. In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the… …   Wikipedia

  • continued fraction — Math. a fraction whose denominator contains a fraction whose denominator contains a fraction, and so on. [1860 65] * * * ▪ mathematics       expression of a number as the sum of an integer and a quotient, the denominator of which is the sum of an …   Universalium

  • continued fraction — fraction whose denominator is a fraction whose denominator is a fraction and so on …   English contemporary dictionary

  • continued fraction — /kənˌtɪnjud ˈfrækʃən/ (say kuhn.tinyoohd frakshuhn) noun Mathematics a fraction whose denominator contains a fraction whose denominator contains a fraction, and so on. Also, recurring fraction …   Australian English dictionary

  • 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 • Hypernyms: ↑fraction …   Useful english dictionary

  • continued fraction — noun Date: 1811 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 …   New Collegiate Dictionary

  • continued fraction — noun A fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose denominator is an integer plus a fraction and so on to an infinite number of terms …   Wiktionary

  • continued fraction — contin′ued frac′tion n. math. a fraction whose denominator contains a fraction whose denominator contains a fraction and so on • Etymology: 1860–65 …   From formal English to slang

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