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*absolute convergence*# absolute convergence vs. conditional convergence

noun

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

noun

- the property of an infinite series that converges while the series formed by replacing each term in the given series with its absolute value diverges; the property of an infinite series that converges when the order of the terms is altered.