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# divisors

diÂ·viÂ·sor || dÉª'vaÉªzÉ™ n. one who divides or separates; number by which a dividend is divided (Mathematics)

English contemporary dictionary. 2014.

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• Linear system of divisors — A linear system of divisors algebraicizes the classic geometric notion of a family of curves, as in the Apollonian circles. In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of… …   Wikipedia

• Table of divisors — The tables below list all of the divisors of the numbers 1 to 1000.A divisor of an integer n is an integer m , say, for which n / m is again an integer (which is necessarily also a divisor of n ). For example, 3 is a divisor of 21, since 21/3 = 7 …   Wikipedia

• Elementary divisors — In algebra, the elementary divisors of a module over a principal ideal domain occur in one form of the structure theorem for finitely generated modules over a principal ideal domain.If R is a PID and M a finitely generated R module, then M is… …   Wikipedia

• Clifford's theorem on special divisors — In mathematics, Clifford s theorem on special divisors is a result of W. K. Clifford on algebraic curves, showing the constraints on special linear systems on a curve C. If D is a divisor on C, then D is (abstractly) a formal sum of points P on C …   Wikipedia

• Divisor (algebraic geometry) — In algebraic geometry, divisors are a generalization of codimension one subvarieties of algebraic varieties; two different generalizations are in common use, Cartier divisors and Weil divisors (named for Pierre Cartier and André Weil). These… …   Wikipedia

• Divisor — divisible redirects here. For divisibility of groups, see Divisible group. For the second operand of a division, see Division (mathematics). For divisors in algebraic geometry, see Divisor (algebraic geometry). For divisibility in the ring theory …   Wikipedia

• Highly composite number — This article is about numbers having many divisors. For numbers factorized only to powers of 2, 3, 5 and 7 (also named 7 smooth numbers), see Smooth number. A highly composite number (HCN) is a positive integer with more divisors than any… …   Wikipedia

• Divisor function — σ0(n) up to n = 250 Sigma function σ …   Wikipedia

• Harmonic divisor number — This article is about harmonic divisor numbers. For meanings of harmonic number, see harmonic number (disambiguation). In mathematics, a harmonic divisor number, or Ore number (named after Øystein Ore who defined it in 1948), is a positive… …   Wikipedia

• Arithmetic function — In number theory, an arithmetic (or arithmetical) function is a real or complex valued function ƒ(n) defined on the set of natural numbers (i.e. positive integers) that expresses some arithmetical property of n.  An example of an arithmetic… …   Wikipedia