factorization sequence

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• Factorization lemma — In measure theory, the factorization lemma allows us to express a function f with another function T if f is measurable with respect T . An application of this is regression analysis.TheoremLet T:Omega ightarrowOmega be a function of a set Omega… …   Wikipedia

• Weierstrass factorization theorem — In mathematics, the Weierstrass factorization theorem in complex analysis, named after Karl Weierstrass, asserts that entire functions can be represented by a product involving their zeroes. In addition, every sequence tending to infinity has an… …   Wikipedia

• Fermat's factorization method — is based on the representation of an odd integer as the difference of two squares: :N = a^2 b^2. That difference is algebraically factorable as (a+b)(a b); if neither factor equals one, it is a proper factorization of N .Each odd number has such… …   Wikipedia

• Sylvester's sequence — In number theory, Sylvester s sequence is a sequence of integers in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are::2, 3, 7, 43, 1807, 3263443, 10650056950807,… …   Wikipedia

• Cycle detection — This article is about iterated functions. For another use, see Cycle detection (graph theory). In computer science, cycle detection is the algorithmic problem of finding a cycle in a sequence of iterated function values. For any function ƒ that… …   Wikipedia

• Prime number — Prime redirects here. For other uses, see Prime (disambiguation). A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is… …   Wikipedia

• Pollard's rho algorithm — is a special purpose integer factorization algorithm. It was invented by John Pollard in 1975. It is particularly effective at splitting composite numbers with small factors.Core ideasThe rho algorithm is based on Floyd s cycle finding algorithm… …   Wikipedia

• Least common multiple — In arithmetic and number theory, the least common multiple (also called the lowest common multiple or smallest common multiple) of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is a multiple of both a… …   Wikipedia

• Singular value decomposition — Visualization of the SVD of a 2 dimensional, real shearing matrix M. First, we see the unit disc in blue together with the two canonical unit vectors. We then see the action of M, which distorts the disk to an ellipse. The SVD decomposes M into… …   Wikipedia

• Williams' p + 1 algorithm — In computational number theory, Williams p + 1 algorithm is an integer factorization algorithm, one of the family of algebraic group factorisation algorithms. It was invented by Hugh C. Williams in 1982. It works well if the number N to be… …   Wikipedia

• Factorial — n n! 0 1 1 1 2 2 3 6 4 24 5 120 6 720 7 …   Wikipedia