Found 2 items, similar to Continued fraction.
English → English
Definition: 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
English → English
Definition: Continued fraction
, 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.
, 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
, a fraction having a fraction or mixed
number in the numerator or denominator, or in both.
--Davies & Peck.
, a fraction of a fraction; two or more
fractions connected by of.
, Decimal fraction
, Partial fraction
etc. See under Continued
, a fraction in which the numerator is
greater than the denominator.
, a fraction in which the numerator is less
than the denominator.
, 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
--Jenyns. “Continued succession.”
(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.]
(Med.), a fever which presents no
interruption in its course.
(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.
(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.