# absolute convergence

- 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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## Origin of absolute convergence

First recorded in 1905–10

Also called unconditional convergence.

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## absolute convergence

[ăb′sə-lōōt′]

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

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The American Heritage® Science Dictionary
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