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], archived from the original on 16 March 2009:
      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

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Translations

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