Last Updated:2025/11/28
Sentence

数学者は、その級数が各項の絶対値を取っても収束することを示し、したがって項の順序を入れ替えても和は変わらないと説明した。

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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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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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Related words

absolutely convergent

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。
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数学者は、その級数が各項の絶対値を取っても収束することを示し、したがって項の順序を入れ替えても和は変わらないと説明した。

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