Last Updated
：2025/11/28
absolutely convergent
IPA(Pronunciation)
Adjective
not-comparable
Japanese Meaning
数学において、無限級数が各項の絶対値を取った場合でも収束する状態を指し、一般の収束よりも強い条件となること。 / すなわち、すべての項の絶対値の和が有限であることを意味する。
Quizzes for review
(mathematics) Of an infinite series, convergent even if the absolute value is taken of each term; a stronger condition than ordinary convergence.
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absolutely convergent
The mathematician showed that the series was absolutely convergent, which implies that any rearrangement of its terms leaves the sum unchanged.
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The mathematician showed that the series was absolutely convergent, which implies that any rearrangement of its terms leaves the sum unchanged.
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