Partial fraction
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]


The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • partial fraction — n. any of a set of fractions which add up to a given fraction [a/2xy and a/xy are the partial fractions of 3a/2xy] * * * …   Universalium

  • partial fraction — n. any of a set of fractions which add up to a given fraction [a/2xy and a/xy are the partial fractions of 3a/2xy] …   English World dictionary

  • Partial fraction — In algebra, the partial fraction decomposition or partial fraction expansion is a procedure used to reduce the degree of either the numerator or the denominator of a rational function (also known as a rational algebraic fraction). In symbols, one …   Wikipedia

  • partial fraction — noun Any of several fractions to the sum of which a single fraction is equal …   Wiktionary

  • partial fraction — par′tial frac′tion n. math. one of the fractions into which a given fraction can be resolved • Etymology: 1810–20 …   From formal English to slang

  • partial fraction — noun : one of the fractions into the sum of which a fraction may be decomposed …   Useful english dictionary

  • partial fraction — noun Date: 1816 one of the simpler fractions into the sum of which the quotient of two polynomials may be decomposed …   New Collegiate Dictionary

  • 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 …   The Collaborative International Dictionary of English

  • Partial fractions in complex analysis — In complex analysis, a partial fraction expansion is a way of writing a meromorphic function f(z) as an infinite sum of rational functions and polynomials. When f(z) is a rational function, this reduces to the usual method of partial… …   Wikipedia

  • Partial fractions in integration — In integral calculus, the use of partial fractions is required to integrate the general rational function. Any rational function of a real variable can be written as the sum of a polynomial function and a finite number of partial fractions. Each… …   Wikipedia

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