# Difference between revisions of "Archimedean"

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## Revision as of 21:16, 7 November 2011

A ring **R** is said to be **Archimedean** if the ring is ordered, has a metric and for all in **R**, x non-zero, there exists in the natural numbers such that . Here concatentation with denotes adding times. Informally, a ring is Archimedean if it has no infinitely small or infinitely large elements. Examples of Archimedean rings include the real numbers and the rational numbers. Examples of non-Archimedean are less simple.

d

*This article has been proposed for*

**speedy deletion**. The reason given is: It is obvious vandalism, sarcastic mockery, or inappropriate according to The Conservapedia Commandments.