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 continued fraction 添加此单词到默认生词本
连分式
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    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
    <noun.quantity>


    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 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.


    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.

    {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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