Last Updated
：2025/11/26
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。
（ plural ）
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(mathematics) The real number system adjoined with two extra symbols: ∞ and −∞, inheriting the ordering of the real number system, and defining −∞ to be less than any real number, and ∞ to be larger than any real number.
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extended real number system
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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