- summable
- adjective see sum I
New Collegiate Dictionary. 2001.
summable
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summable — summability, n. /sum euh beuhl/, adj. Math. 1. capable of being added. 2. (of an infinite series, esp. a divergent one) capable of having a sum assigned to it by a method other than the usual one of taking the limit of successive partial sums. 3 … Universalium
summable — adjective Having a Lebesgue integral … Wiktionary
summable — adj. can be added, can be totaled, can be tallied … English contemporary dictionary
summable — sum·ma·ble … English syllables
summable — ˈsəməbəl adjective Etymology: sum (II) + able : capable of being summed … Useful english dictionary
absolutely summable — adjective An infinite series is absolutely summable if the sum of the absolute values of its summands converges … Wiktionary
1 − 2 + 3 − 4 + · · · — In mathematics, 1 − 2 + 3 − 4 + … is the infinite series whose terms are the successive positive integers, given alternating signs. Using sigma summation notation the sum of the first m terms of the series can be expressed as:sum {n=1}^m n( 1)^{n … Wikipedia
Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } … Wikipedia
Cesàro summation — For the song Cesaro Summability by the band Tool, see Ænima. In mathematical analysis, Cesàro summation is an alternative means of assigning a sum to an infinite series. If the series converges in the usual sense to a sum A, then the series is… … Wikipedia
Summation of Grandi's series — General considerationstability and linearityThe formal manipulations that lead to 1 − 1 + 1 − 1 + · · · being assigned a value of 1⁄2 include: *Adding or subtracting two series term by term, *Multiplying through by a scalar term by term, *… … Wikipedia
