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multiplicative order

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  • Multiplicative order — In number theory, given an integer a and a positive integer n with gcd(a,n) = 1, the multiplicative order of a modulo n is the smallest positive integer k with ak ≡ 1 (mod n). The order of a modulo n is usually written ordn(a), or On(a). Contents …   Wikipedia

  • Order (mathematics) — Contents 1 In algebra 2 In arithmetic 3 In analysis 4 …   Wikipedia

  • Multiplicative number theory — is a subfield of analytic number theory that deals with prime numbers and with factorization and divisors. The focus is usually on developing approximate formulas for counting these objects in various contexts. The prime number theorem is a key… …   Wikipedia

  • Multiplicative function — Outside number theory, the term multiplicative function is usually used for completely multiplicative functions. This article discusses number theoretic multiplicative functions. In number theory, a multiplicative function is an arithmetic… …   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

  • Order of operations — In mathematics and computer programming, the order of operations (sometimes called operator precedence) is a rule used to clarify unambiguously which procedures should be performed first in a given mathematical expression. For example, in… …   Wikipedia

  • Order (ring theory) — In mathematics, an order in the sense of ring theory is a subring of a ring R that satisfies the conditions R is a ring which is a finite dimensional algebra over the rational number field spans R over , so that …   Wikipedia

  • Additive increase/multiplicative decrease — The additive increase/multiplicative decrease (AIMD) algorithm is a feedback control algorithm used in TCP Congestion Avoidance. Basically, AIMD represents a linear growth of the congestion window, combined to an exponential reduction when a… …   Wikipedia

  • List of first-order theories — In mathematical logic, a first order theory is given by a set of axioms in somelanguage. This entry lists some of the more common examples used in model theory and some of their properties. PreliminariesFor every natural mathematical structure… …   Wikipedia

  • Dihedral group of order 6 — The smallest non abelian group has 6 elements. It is a dihedral group with notation D3 (or D6, both are used) and the symmetric group of degree 3, with notation S3. This page illustrates many group concepts using this group as example. Contents 1 …   Wikipedia

  • List of mathematics articles (M) — NOTOC M M estimator M group M matrix M separation M set M. C. Escher s legacy M. Riesz extension theorem M/M/1 model Maass wave form Mac Lane s planarity criterion Macaulay brackets Macbeath surface MacCormack method Macdonald polynomial Machin… …   Wikipedia

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