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absolute convergence
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.
absolute convergence
/ ăb′sə-lo̅o̅t′ /
- The mathematical property by which the sums of the absolute values of the terms in a series converge.
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Word History and Origins
Origin of absolute convergence1
First recorded in 1905–10
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