partial fractions

partial fractions
one of the fractions into which a given fraction can be resolved, the sum of such simpler fractions being equal to the given fraction: Partial fractions of 5/(x2-x) are 5/(x-1) and -5/x.
[1810-20]

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  • Partial fractions — partial par tial (p[aum]r shal), a. [F., fr. LL. partials, fr. L. pars, gen. partis, a part; cf. (for sense 1) F. partiel. See {Part}, n.] 1. Of, pertaining to, or affecting, a part only; not general or universal; not total or entire; as, a… …   The Collaborative International Dictionary of English

  • partial fractions — Algebra. one of the fractions into which a given fraction can be resolved, the sum of such simpler fractions being equal to the given fraction: Partial fractions of 5/(x2 x) are 5/(x 1) and 5/x. [1810 20] …   Useful english dictionary

  • 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

  • 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 — /paʃəl ˈfrækʃənz/ (say pahshuhl frakshuhnz) plural noun Algebra the simple rational functions into which a given rational function may be resolved, their sum being equal to the given rational function. The process of resolution is known as… …  

  • partial — par tial (p[aum]r shal), a. [F., fr. LL. partials, fr. L. pars, gen. partis, a part; cf. (for sense 1) F. partiel. See {Part}, n.] 1. Of, pertaining to, or affecting, a part only; not general or universal; not total or entire; as, a partial… …   The Collaborative International Dictionary of English

  • Partial differential coefficients — partial par tial (p[aum]r shal), a. [F., fr. LL. partials, fr. L. pars, gen. partis, a part; cf. (for sense 1) F. partiel. See {Part}, n.] 1. Of, pertaining to, or affecting, a part only; not general or universal; not total or entire; as, a… …   The Collaborative International Dictionary of English

  • Partial differentials — partial par tial (p[aum]r shal), a. [F., fr. LL. partials, fr. L. pars, gen. partis, a part; cf. (for sense 1) F. partiel. See {Part}, n.] 1. Of, pertaining to, or affecting, a part only; not general or universal; not total or entire; as, a… …   The Collaborative International Dictionary of English

  • Partial differentiation — partial par tial (p[aum]r shal), a. [F., fr. LL. partials, fr. L. pars, gen. partis, a part; cf. (for sense 1) F. partiel. See {Part}, n.] 1. Of, pertaining to, or affecting, a part only; not general or universal; not total or entire; as, a… …   The Collaborative International Dictionary of English

  • Partial tones — partial par tial (p[aum]r shal), a. [F., fr. LL. partials, fr. L. pars, gen. partis, a part; cf. (for sense 1) F. partiel. See {Part}, n.] 1. Of, pertaining to, or affecting, a part only; not general or universal; not total or entire; as, a… …   The Collaborative International Dictionary of English

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