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.
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.
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Frac·tion n.
1. The act of breaking, or state of being broken, especially by violence. [Obs.]
Neither can the natural body of Christ be subject to any fraction or breaking up. --Foxe.
2. A portion; a fragment.
Some niggard fractions of an hour. --Tennyson.
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.
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 ½, one half, ⅖, 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.
continued fraction
n : 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