Pronunciation: /ˈɔr.dər/ Explain
The order of a set is how the set is
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 elements
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 this ordering.
The points in a line are ordered. One can tell which points come before
and after a particular point.
- McAdams, David E.. All Math Words Dictionary, order. 2nd Classroom edition 20150108-4799968. pg 131. Life is a Story Problem LLC. January 8, 2015. Buy the book
- Hilbert, David. The Foundations of Geometry. pg 3. Translated by Townsend, E. J., Ph. D.. The Open Court Publishing Company. 1950. Last Accessed 9/5/2018. http://www.gutenberg.org/files/17384/17384-pdf.pdf. Buy the book
Cite this article as:
McAdams, David E. Order. 3/26/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/o/order.html.
3/26/2019: Clarified wording. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
9/5/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
12/21/2009: Added "References". (McAdams, David E.)
4/25/2008: Initial version. (McAdams, David E.)