(definition)
Definition: A function which is defined for all inputs of the right type, that is, for all of its domain.
See also partial function.
Note: Square (x²) is a total function. Reciprocal (1/x) is not, since 0 is a real number, but has no reciprocal.
Author: PEB
If you have suggestions, corrections, or comments, please get in touch with Paul E. Black.
Entry modified Tue Jan 20 15:18:57 2004.
HTML page formatted Wed Oct 26 09:48:16 2005.
Cite this as:
Paul E. Black, "total function", from
Dictionary of Algorithms and Data
Structures, Paul E. Black, ed.,
NIST.
http://www.nist.gov/dads/HTML/totalfunc.html
