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# diverges

diÂ·verge || daÉª'vÉœËdÊ’ v. branch off from a common point, go off in different directions from a center

English contemporary dictionary. 2014.

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• Proof that the sum of the reciprocals of the primes diverges — In the third century BC, Euclid proved the existence of infinitely many prime numbers. In the 18th century, Leonhard Euler proved a stronger statement: the sum of the reciprocals of all prime numbers diverges. Here, we present a number of proofs… …   Wikipedia

• Ratio test — In mathematics, the ratio test is a test (or criterion ) for the convergence of a series , where each term is a real or complex number and an is nonzero when n is large. The test was first published by Jean le Rond d Alembert and is sometimes… …   Wikipedia

• Harmonic series (mathematics) — In mathematics, the harmonic series is the divergent infinite series: Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are 1/2, 1/3, 1/4, etc., of the string s… …   Wikipedia

• 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

• Radius of convergence — In mathematics, the radius of convergence of a power series is a quantity, either a non negative real number or ∞, that represents a domain (within the radius) in which the series will converge. Within the radius of convergence, a power series… …   Wikipedia

• Integral test for convergence — In mathematics, the integral test for convergence is a method used to test infinite series of non negative terms for convergence. An early form of the test of convergence was developed in India by Madhava in the 14th century, and by his followers …   Wikipedia

• Oklahoma State Highway 33 — State Highway 33 Route information …   Wikipedia

• Cesàro summation — For the song Cesaro Summability by the band Tool, see Ænima. In mathematical analysis, Cesàro summation is an alternative means of assigning a sum to an infinite series. If the series converges in the usual sense to a sum A, then the series is… …   Wikipedia

• U.S. Route 64 — Infobox U.S. Route article route=64 length mi=2,326Droz, Robert V. [http://www.us highways.com/usbt.htm U.S. Highways : From US 1 to (US 830)] . URL accessed 02:55, 4 July 2006 (UTC).] length km=3,743 yrcom=1926 direction a=West direction b=East… …   Wikipedia