1. In mathematics, a function whose usual or natural definition is in terms of itself.
2. In a program, a function procedure that calls itself.
3. (general recursive function, total recursive function) In the study of effective computability, a partial recursive function that happens to be total. For some authors, however, the terms recursive and general recursive are synonymous with partial recursive. It is useful here to summarize the various terms used in this area:
The term partial recursive function is often used in a general sense to mean any computable function on the natural numbers defined by a model of computation. However, strictly speaking, a partial recursive function is simply a function defined by primitive recursion and Kleene's μ-recursion scheme (see minimization). Not all such functions are total functions since the use of the μ-operator allows the possibility of nontermination.
A primitive recursive function, however, cannot involve the μ-operator and is hence guaranteed to be total. The Ackermann function is the standard example of a total recursive function that is not primitive recursive.
"recursive function." A Dictionary of Computing. . Encyclopedia.com. (March 25, 2019). https://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/recursive-function
"recursive function." A Dictionary of Computing. . Retrieved March 25, 2019 from Encyclopedia.com: https://www.encyclopedia.com/computing/dictionaries-thesauruses-pictures-and-press-releases/recursive-function
Encyclopedia.com gives you the ability to cite reference entries and articles according to common styles from the Modern Language Association (MLA), The Chicago Manual of Style, and the American Psychological Association (APA).
Within the “Cite this article” tool, pick a style to see how all available information looks when formatted according to that style. Then, copy and paste the text into your bibliography or works cited list.
Because each style has its own formatting nuances that evolve over time and not all information is available for every reference entry or article, Encyclopedia.com cannot guarantee each citation it generates. Therefore, it’s best to use Encyclopedia.com citations as a starting point before checking the style against your school or publication’s requirements and the most-recent information available at these sites:
Modern Language Association
The Chicago Manual of Style
American Psychological Association
- Most online reference entries and articles do not have page numbers. Therefore, that information is unavailable for most Encyclopedia.com content. However, the date of retrieval is often important. Refer to each style’s convention regarding the best way to format page numbers and retrieval dates.
- In addition to the MLA, Chicago, and APA styles, your school, university, publication, or institution may have its own requirements for citations. Therefore, be sure to refer to those guidelines when editing your bibliography or works cited list.