Extended natural numbers
id:
extended-natural-numbers-286-16126015
title:
Extended natural numbers
text:
In mathematics, the extended natural numbers is a set which contains the values 0 , 1 , 2 , … and ∞ (infinity). That is, it is the result of adding a maximum element ∞ to the natural numbers. Addition and multiplication work as normal for finite values, and are extended by the rules n + ∞ = ∞ + n = ∞ , 0 × ∞ = ∞ × 0 = 0 and m × ∞ = ∞ × m = ∞ for m ≠ 0 . With addition and multiplication, N ∪ { ∞ } is a semiring but not a ring, as ∞ lacks an additive inverse. The set can be denoted by N ¯ , N ∞ or
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Extended_natural_numbers
date created:
date modified:
2023-01-28T18:00:13Z
main entity:
{"identifier":"Q105759800","url":"https://www.wikidata.org/entity/Q105759800"}
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13
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