(definition)
Definition: A binary relation R for which there is no element a such that a R a.
See also reflexive, antisymmetric.
Note: The relation "less than" is irreflexive since no number is less than itself.
Author: PEB
After Eric W. Weisstein's World of Mathematics entry irreflexive.
If you have suggestions, corrections, or comments, please get in touch with Paul E. Black.
Entry modified Fri Dec 17 11:52:33 2004.
HTML page formatted Wed Oct 26 09:47:40 2005.
Cite this as:
Paul E. Black, "irreflexive", from
Dictionary of Algorithms and Data
Structures, Paul E. Black, ed.,
NIST.
http://www.nist.gov/dads/HTML/irreflexive.html