Word.ws English Dictionary

real number system

real number system noun: the complete Archimedean ordered field (of real numbers).

Noun

real number system (plural real number systems)

  1. The complete Archimedean ordered field (of real numbers).
    • As we have mentioned before, the structure of Euclidean geometry, as formalized through the axioms of Hilbert, produces an archimedean ordered field. To com- plete the story, one can add to these axioms the further requirement that this field is maximal in the sense that it cannot be embedded...2008 November, Ambar N. Sengupta, “Notes in Introductory Real Analysis”, in www.math.lsu.edu, retrieved 13 Jul 2012
    • The real number system is a complete, linearly ordered field #92;mathcal#123;R#125;#61;(#92;mathbb#123;R#125;,#43;,#92;cdot,lt;).2010 April 16, Lindsay Keegan, “The Ghosts of Departed Quantities”, in www.math.ufl.edu, archived from the original on 30 Sep 2011

Forms of real number system

pluralreal number systems

Words formed from real number system

Questions about real number system

What does real number system mean?
Real number system means the complete Archimedean ordered field (of real numbers).
What part of speech is real number system?
Real number system is a noun.
What is the plural of real number system?
The plural of real number system is real number systems.

Words near real number system in the dictionary

  1. real nappies
  2. real nappy
  3. real number
  4. real number line
  5. real number lines
  6. real number system
  7. real number systems
  8. real numbers
  9. real one
  10. real ones
  11. real part

Source and license

Adapted from Wiktionary: real number system (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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