Meanings
plural Archimedean ordered fields
- mathematicsAn 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
Synonyms & antonyms
Translations
Finnish Arkhimedeen kunta
- Arkhimedeen kuntaan ordered field which satisfies the axiom of Archimedes
Polish ciało uporządkowane archimedesowskie
- ciało uporządkowane archimedesowskiean ordered field which satisfies the axiom of Archimedes
Portuguese corpo ordenado arquimediano
- corpo ordenado arquimedianoan ordered field which satisfies the axiom of Archimedes
Cite this entry
Archimedean ordered field. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Archimedean%20ordered%20field
“Archimedean ordered field.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Archimedean%20ordered%20field. Accessed November 4, 2026.
WatkinsX Dictionary, s.v. “Archimedean ordered field,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Archimedean%20ordered%20field.
Source: Archimedean ordered field on Wiktionary, CC BY-SA 4.0.