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单词 Absolute Convergence
释义

Absolute Convergence

A Series is said to Converge absolutely if the Series Converges, where denotes the Absolute Value. If a Series isabsolutely convergent, then the sum is independent of the order in which terms are summed. Furthermore, if the Series ismultiplied by another absolutely convergent series, the product series will also converge absolutely.

See also Conditional Convergence, Convergent Series, Riemann Series Theorem


References

Bromwich, T. J. I'a and MacRobert, T. M. ``Absolute Convergence.'' Ch. 4 in An Introduction to the Theory of Infinite Series, 3rd ed. New York: Chelsea, pp. 69-77, 1991.


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