partial function

Computing Dictionary

partial function definition


A function which is not defined for all arguments of its input type. E.g.
f(x) = 1/x if x /= 0.
The opposite of a total function. In denotational semantics, a partial function
f : D -> C
may be represented as a total function
ft : D' -> lift(C)
where D' is a superset of D and
ft x = f x if x in D ft x = bottom otherwise
where lift(C) = C U bottom. Bottom (LaTeX \perp) denotes "undefined".
(1995-02-03)

The Free On-line Dictionary of Computing, © Denis Howe 2010 http://foldoc.org
Cite This Source
Explore Dictionary.com
Previous Definition: partial fraction
Next Definition: partial key
Words Near: partial function
More from Thesaurus.com
Synonyms and Antonyms for partial function
More from Reference.com
Search for articles containing partial function
Dictionary.com Word FAQs

Dictionary.com presents 366 FAQs, incorporating some of the frequently asked questions from the past with newer queries.

Copyright © 2014 Dictionary.com, LLC. All rights reserved.
  • Please Login or Sign Up to use the Recent Searches feature