Archimedean ordered field
noun1
Mathematics, Sciences 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:
- Antonyms
- non-Archimedean ordered field
- Hypernyms
- ordered field
- Hyponyms
- real number system