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or an integral
is said to converge absolutely if the series or integral of the corresponding absolute value is finite, i.e.
Absolute convergence entails that rearrangement of the series
where σ is a permutation of the natural numbers, does not alter the sum to which the series converges. Similar results apply to integrals. See Cauchy principal value and an elegant rearrangement of a conditionally convergent iterated integral.
Series or integrals that converge but do not converge absolutely are said to converge conditionally.
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