convergent sum

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• Convergent series — redirects here. For the short story collection, see Convergent Series (short story collection). In mathematics, a series is the sum of the terms of a sequence of numbers. Given a sequence , the nth partial sum Sn is the sum of the first n terms… …   Wikipedia

• convergent — adjective Date: circa 1751 1. tending to move toward one point or to approach each other ; converging < convergent lines > 2. exhibiting convergence in form, function, or development < convergent evolution > 3 …   New Collegiate Dictionary

• Ramanujan's sum — This article is not about Ramanujan summation. In number theory, a branch of mathematics, Ramanujan s sum, usually denoted c q ( n ), is a function of two positive integer variables q and n defined by the formula:c q(n)=sum {a=1atop… …   Wikipedia

• Absolute convergence — In mathematics, a series (or sometimes also an integral) of numbers is said to converge absolutely if the sum (or integral) of the absolute value of the summand or integrand is finite. More precisely, a real or complex series is said to converge… …   Wikipedia

• Monotone convergence theorem — In mathematics, there are several theorems dubbed monotone convergence; here we present some major examples. Contents 1 Convergence of a monotone sequence of real numbers 1.1 Theorem 1.2 Proof 1.3 …   Wikipedia

• Euler summation — is a summability method for convergent and divergent series. Given a series Σ a n , if its Euler transform converges to a sum, then that sum is called the Euler sum of the original series.Euler summation can be generalized into a family of… …   Wikipedia

• Corner transfer matrix — In statistical mechanics, the corner transfer matrix describes the effect of adding a quadrant to a lattice. Introduced by Rodney Baxter in 1968 as an extension of the Kramers Wannier row to row transfer matrix, it provides a powerful method of… …   Wikipedia

• Ford circle — In mathematics, a Ford circle is a circle with centre at ( p/q , 1/(2 q 2)) and radius 1/(2 q 2), where p/q is an irreducible fraction, i.e. p and q are coprime integers.HistoryFord circles are named after American mathematician Lester R. Ford,… …   Wikipedia

• Li's criterion — In mathematics, in the area of number theory, Li s criterion is a particular statement about the positivity of a certain sequence that is completely equivalent to the Riemann hypothesis. The criterion is named after Xian Jin Li, who presented it… …   Wikipedia

• Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

• Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… …   Wikipedia