411 REFERENCE · Wiktionary
Archimedean ordered field
Reference material by Wiktionary contributors. This retains its source identity and is not 411 news reporting.
English
Noun
en mathematics An ordered field which satisfies the Archimedean property axiom of Archimedes.
en 2006 Richard W. Kaye Archimedean ordered fields web.mat.bham.ac.uk http://web.mat.bham.ac.uk/R.W.Kaye/seqser/archfields 2012-11-13 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. https://web.archive.org/web/20090316065753/http://web.mat.bham.ac.uk/R.W.Kaye/seqser/archfields 16 March 2009
Antonyms
en non-Archimedean ordered field
Hypernyms
en ordered field
Hyponyms
en real number system
Translations
an ordered field which satisfies the axiom of Archimedes
Finnish: fi Arkhimedeen kunta
Polish: pl ciało uporządkowane archimedesowskie n
Portuguese: pt corpo ordenado arquimediano m