(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 Black.
Entry modified 17 December 2004.
HTML page formatted Mon Feb 2 13:10:39 2015.
Cite this as:
Paul E. Black, "irreflexive", in
Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY)
Available from: http://www.nist.gov/dads/HTML/irreflexive.html