Order

Pronunciation: /ˈɔr dər/ ?

The order of a set is how the set is sorted.[1] One example of an ordered set is the set of integers. One can always tell which of any two integers come first. For example, 1 always comes before 5.

The operators =, , <, >, , 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 this ordering.

The points in a line are ordered. One can tell which points come before and after a particular point.[2]

References

  1. 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=.
  2. 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.

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2009-12-21: Added "References" (McAdams, David.)
2008-04-25: Initial version (McAdams, David.)

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