Archimedean ordered field

English

Noun

Archimedean ordered field (plural Archimedean ordered fields)

1. (mathematics) An ordered field which satisfies the axiom of Archimedes.
   • 2006, Richard W. Kaye, “Archimedean ordered fields”, in web.mat.bham.ac.uk‎^[1], retrieved 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.

Antonyms

• non-Archimedean ordered field

Hypernyms

• ordered field

Hyponyms

• real number system

Translations

an ordered field which satisfies the axiom of Archimedes

• Portuguese: corpo ordenado arquimediano m