Last Updated：2025/11/21

(mathematical analysis) Of an infinite series: such that the sum of the absolute values of its summands converges.

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absolutely summable

Source Word

absolutely summable

Adjective

not-comparable

(mathematical analysis) Of an infinite series: such that the sum of the absolute values of its summands converges.

Japanese Meaning

（数学解析）無限級数において、各項の絶対値の和が収束する、すなわち絶対収束する性質を表す

The series with terms (-1)^n/n^2 is absolutely summable, so rearranging its terms does not change the sum.

項が (-1)^n/n^2 の級数は絶対収束するため、項を並べ替えても和は変わらない。

Sense（1）

(mathematical analysis) Of an infinite series: such that the sum of the absolute values of its summands converges.