absolute convergence

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Related to Conditionally convergent series: Unconditional convergence

absolute convergence

n.
The mathematical property by which the sum of the absolute values of the terms in a series converge.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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However, a conditionally convergent series, by a suitable permutation of its elements, can take any arbitrary value or even diverge.
Seeliger's Gravitational Paradox and the Infinite Universe
The expectation of the game is a conditionally convergent series. As such, its terms can be rearranged to yield any sum whatsoever, including positive infinity and negative infinity.
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