continued fraction

Noun

Synonyms: continued fraction

WordNet 3.0

Noun (1)

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 onSynonyms: continued fraction

Webster's Dictionary (GCIDE)

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 subject to any fraction or breaking up.— Foxe.[1913 Webster]

2.A portion; a fragment. [1913 Webster]

Some niggard fractions of an hour.— Tennyson.[1913 Webster]

3.(Arith. or Alg.) One or more aliquot parts of a unit or whole number; an expression for a definite portion of a unit or magnitude. [1913 Webster]

Common fraction, or Vulgar fraction, a fraction in which the number of equal parts into which the integer is supposed to be divided is indicated by figures or letters, called the denominator, written below a line, over which is the numerator, indicating the number of these parts included in the fraction; as 1/2, one half, 2/5, two fifths.

Complex fraction, a fraction having a fraction or mixed number in the numerator or denominator, or in both. --Davies & Peck.

Compound fraction, a fraction of a fraction; two or more fractions connected by of.

Continued fraction, Decimal fraction, Partial fraction, etc. See under Continued, Decimal, Partial, etc.

Improper fraction, a fraction in which the numerator is greater than the denominator.

Proper fraction, a fraction in which the numerator is less than the denominator. [1913 Webster]

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]