Archimedean ordered field en · NOUN
Meanings
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An ordered field which satisfies the axiom of Archimedes.
The next axiom concerns [ x ], the integer part function. We have seen that this function plays a useful role in our theory, but it turns out that not all ordered fields have it defined. A field for which integer part is defined is called an Archimedean Ordered Field.
2006, Richard W. Kaye, “Archimedean ordered fields”, in web.mat.bham.ac.uk, archived from the original on 16 Mar 2009:
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| Spelling | Features | Labels | Source |
|---|---|---|---|
| Archimedean ordered fields | Number=Plur | lexicographic |
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Translations (3)
fi Arkhimedeen kunta (an ordered field which satisfies the axiom of Archimedes) · pl ciało uporządkowane archimedesowskie (an ordered field which satisfies the axiom of Archimedes) · pt corpo ordenado arquimediano (an ordered field which satisfies the axiom of Archimedes)