**Divergent series** — In mathematics, a divergent series is an infinite series that is not convergent, meaning that the infinite sequence of the partial sums of the series does not have a limit. If a series converges, the individual terms of the series must approach… … Wikipedia

**divergent series** — diverguojančioji eilutė statusas T sritis fizika atitikmenys: angl. divergent series vok. divergente Reihe, f rus. расходящийся ряд, m pranc. série divergente, f … Fizikos terminų žodynas

**divergent series** — noun An infinite series whose partial sums are divergent … Wiktionary

**Divergent** — Di*ver gent, a. [Cf. F. divergent. See {Diverge}.] 1. Receding farther and farther from each other, as lines radiating from one point; deviating gradually from a given direction; opposed to {convergent}. [1913 Webster] 2. (Optics) Causing… … The Collaborative International Dictionary of English

**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

**Divergent geometric series** — In mathematics, an infinite geometric series of the form is divergent if and only if | r | ≥ 1. Methods for summation of divergent series are sometimes useful, and usually evaluate divergent geometric series to a sum that… … Wikipedia

**Series acceleration** — In mathematics, series acceleration is one of a collection of sequence transformations for improving the rate of convergence of a series. Techniques for series acceleration are often applied in numerical analysis, where they are used to improve… … Wikipedia

**Divergent (book)** — Divergent Author(s) Veronica Roth Country … Wikipedia

**series** — n. sequence (math.) 1) an alternating; convergent; divergent; geometric; harmonic; infinite series succession 2) an unbroken series cycle of programs, publications 3) a miniseries; TV series * * * [ sɪ(ə)riːz] TV series convergent divergent… … Combinatory dictionary

**Euler on infinite series** — Divergent seriesLeonhard Euler succinctly described a potential foundation for his treatment of divergent series in a calculus textbook published in 1755 [Euler (1755), Part 1, Chapter 3, #111, pp.78 79; English translation by Bromwich (p.322).… … Wikipedia