absolute convergence

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noun Mathematics.

the property of an infinite series in which the series formed by replacing each term in the original series with its absolute value converges.Compare conditional convergence.

the property of a sequence of functions in which the series whose terms are the successive differences of the elements of the sequence exhibits absolute convergence.

the property of an improper integral in which the integral formed by replacing the integrand by its absolute value converges.

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Also called unconditional convergence.

Origin of absolute convergence

First recorded in 1905–10

Words nearby absolute convergence

absolute accommodation, absolute alcohol, absolute altitude, absolute ceiling, absolute configuration, absolute convergence, absolute glaucoma, absolute hemianopsia, absolute humidity, absolute hyperopia, absolute impediment

How to use absolute convergence in a sentence

The convergence of these signs lit Morris up like a firecracker.
Powerful Congressman Writes About ‘Fleshy Breasts’|Asawin Suebsaeng|January 7, 2015|DAILY BEAST
They are to face oppression with humble persistence and absolute conviction.
Mexico’s Priests Are Marked for Murder|Jason McGahan|January 7, 2015|DAILY BEAST
House rules require an absolute majority of members voting to choose a speaker.
Kamikaze Congress Prepares to Strike Boehner|Ben Jacobs|January 6, 2015|DAILY BEAST
Absent a body, no one can say with absolute certainty whether Castro is dead, even if all signs point in that direction.
An Informant, a Missing American, and Juarez’s House of Death: Inside the 12-Year Cold Case of David Castro|Bill Conroy|January 6, 2015|DAILY BEAST

And this song is just absolute genius and totally universal.
Yes, I Like Christmas Music. Stop Laughing.|Michael Tomasky|December 24, 2014|DAILY BEAST
Solely over one man therein thou hast quite absolute control.
Pearls of Thought|Maturin M. Ballou
Marriage is like Mayonnaise sauce, either a great success or an absolute and entire failure.
The Pit Town Coronet, Volume I (of 3)|Charles James Wills
He was greeted by hoots and jeers, but with absolute imperturbability he reorganised his forces and checked the enemy.
Napoleon's Marshals|R. P. Dunn-Pattison
It is evident that an absolute increase of any variety may be accompanied by a relative decrease.
A Manual of Clinical Diagnosis|James Campbell Todd
An increase in actual number is an absolute increase; an increase in percentage only, a relative increase.
A Manual of Clinical Diagnosis|James Campbell Todd

Scientific definitions for absolute convergence

absolute convergence

[ ăb′sə-lōōt′ ]

The mathematical property by which the sums of the absolute values of the terms in a series converge.