Dictionary De - En
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De - Pt| English Dictionary: continued fraction | by the DICT Development Group |
| 3 results for continued fraction | |
| From WordNet (r) 3.0 (2006) [wn]: | |
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| From Webster's Revised Unabridged Dictionary (1913) [web1913]: | |
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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.] 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, [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 [frac12], one half, [frac25], 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. | |
| From Webster's Revised Unabridged Dictionary (1913) [web1913]: | |
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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. [bd]Continued woe.[b8] --Jenyns. [bd]Continued succession.[b8] --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. | |
