conditional convergence

conditional convergence
the property of an infinite series that converges while the series formed by replacing each term in the given series with its absolute value diverges; the property of an infinite series that converges when the order of the terms is altered. Cf. absolute convergence (def. 1).

* * *


Universalium. 2010.

Игры ⚽ Нужен реферат?

Look at other dictionaries:

  • Conditional convergence — In mathematics, a series or integral is said to be conditionally convergent if it converges, but it does not converge absolutely. Definition More precisely, a series is said to converge conditionally if exists and is a finite number (not ∞ or −∞) …   Wikipedia

  • conditional convergence — Math. the property of an infinite series that converges while the series formed by replacing each term in the given series with its absolute value diverges; the property of an infinite series that converges when the order of the terms is altered …   Useful english dictionary

  • Convergence tests — In mathematics, convergence tests are methods of testing for the convergence, conditional convergence, absolute convergence, interval of convergence or divergence of an infinite series. Contents 1 List of tests 2 Comparison 3 Examples …   Wikipedia

  • Convergence (economics) — The idea of convergence in economics (also sometimes known as the catch up effect) is the hypothesis that poorer economies per capita incomes will tend to grow at faster rates than richer economies. As a result, all economies should eventually… …   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

  • absolute convergence — noun : convergence of a mathematical series when the absolute values of the terms are taken * * * Math. 1. the property of an infinite series in which the series formed by replacing each term in the original series with its absolute value… …   Useful english dictionary

  • absolute convergence — Math. 1. the property of an infinite series in which the series formed by replacing each term in the original series with its absolute value converges. Cf. conditional convergence. 2. the property of a sequence of functions in which the series… …   Universalium

  • Doob's martingale convergence theorems — In mathematics specifically, in stochastic analysis Doob s martingale convergence theorems are a collection of results on the long time limits of supermartingales, named after the American mathematician Joseph Leo Doob. Contents 1 Statement of… …   Wikipedia

  • conditionalconvergence — conditional convergence n. Convergence of an infinite series that lacks absolute convergence, such as 1/2 + 1/3 + 1/4.... * * * …   Universalium

  • List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”