Pronunciation: /ˈɔr dər/ ?
The order of a set is how the set is sorted.
One example of an ordered set is the set of
One can always tell which of any two integers come first. For example,
1 always comes before 5.
≤, ≥ show the relative order
of an ordered set.
Sets other than numbers can be ordered. For example, the alphabet is an ordered set of
letters. The statement 'a' < 'd' makes sense in terms of
The points in a line are ordered. One can tell which points come before and after a particular point.
- order. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=order&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.
- Hilbert, David. The Foundations of Geometry, pg 3. Townsend, E. J., Ph. D.. The Open Court Publishing Company, 1950. (Accessed: 2009-12-21). http://www.gutenberg.org/files/17384/17384-pdf.pdf.
Cite this article as:
Order. 2009-12-21. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/o/order.html.
2009-12-21: Added "References" (McAdams, David.
2008-04-25: Initial version (McAdams, David.