Last Updated:2025/11/26
Sentence

発散する極限を考えるとき、数学者は負の無限大(−∞)が任意の実数より小さく、正の無限大(∞)が任意の実数より大きくなるように正負の無限大を付加した実数系を用いることが多い。

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When studying limits that diverge, mathematicians often work in the extended real number system to include ±∞ and preserve the usual order.

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When studying limits that diverge, mathematicians often work in the extended real number system to include ±∞ and preserve the usual order.

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Related words

extended real number system

Noun
Japanese Meaning
数学における拡張実数体系は、実数系に二つの記号(∞ および −∞)を付加したものであり、実数の順序関係を継承しながら、−∞は任意の実数より小さく、∞は任意の実数より大きいと定義される体系です。
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発散する極限を考えるとき、数学者は負の無限大(−∞)が任意の実数より小さく、正の無限大(∞)が任意の実数より大きくなるように正負の無限大を付加した実数系を用いることが多い。

Related Words

plural

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