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.

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

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.

单词	absolute convergence
释义	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. 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 Dictionary.com UnabridgedBased on the Random House Unabridged Dictionary, © Random House, Inc. 2020 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. The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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