multiplicative inverse

multiplicative inverse
noun Date: 1958 an element of a mathematical set that when multiplied by a given element yields the identity element — called also reciprocal

New Collegiate Dictionary. 2001.

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  • multiplicative inverse — n. Math. RECIPROCAL (n. 2) …   English World dictionary

  • Multiplicative inverse — The reciprocal function: y = 1/x. For every x except 0, y represents its multiplicative inverse. In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the… …   Wikipedia

  • multiplicative inverse — noun (mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7 • Syn: ↑reciprocal • Topics: ↑mathematics, ↑math, ↑maths • Hypernyms: ↑ …   Useful english dictionary

  • multiplicative inverse — Math. reciprocal (def. 9). [1955 60] * * * …   Universalium

  • Modular multiplicative inverse — The modular multiplicative inverse of an integer a modulo m is an integer x such that That is, it is the multiplicative inverse in the ring of integers modulo m. This is equivalent to The multiplicative inverse of a modulo m exists if and only if …   Wikipedia

  • Inverse (mathematics) — Inverse is the opposite of something. This word and its derivatives are used greatly in mathematics, as illustrated below. * Inverse element of an element x with respect to a binary operation * with identity element e is an element y such that x… …   Wikipedia

  • Inverse function — In mathematics, if fnof; is a function from A to B then an inverse function for fnof; is a function in the opposite direction, from B to A , with the property that a round trip (a composition) from A to B to A (or from B to A to B ) returns each… …   Wikipedia

  • Inverse element — In abstract algebra, the idea of an inverse element generalises the concept of a negation, in relation to addition, and a reciprocal, in relation to multiplication. The intuition is of an element that can undo the effect of combination with… …   Wikipedia

  • Inverse trigonometric functions — Trigonometry History Usage Functions Generalized Inverse functions Further reading …   Wikipedia

  • Multiplicative group of integers modulo n — In modular arithmetic the set of congruence classes relatively prime to the modulus n form a group under multiplication called the multiplicative group of integers modulo n. It is also called the group of primitive residue classes modulo n. In… …   Wikipedia

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