recursive function: meaning, definition, pronunciation and examples
C1Technical (Academic/Computer Science)
Quick answer
What does “recursive function” mean?
A function in mathematics or computer science that calls itself during its execution to solve a problem by breaking it down into smaller, similar sub-problems.
Audio
Pronunciation
Definition
Meaning and Definition
A function in mathematics or computer science that calls itself during its execution to solve a problem by breaking it down into smaller, similar sub-problems.
A self-referential procedure or definition where the solution to a larger instance depends on the solutions to smaller instances of the same problem. By extension, it can describe any process, structure, or concept that is defined in terms of itself or exhibits self-similarity.
Dialectal Variation
British vs American Usage
Differences
No significant difference in meaning or usage. Spelling conventions follow regional norms (e.g., 'programme' vs. 'program' in surrounding text, but 'function' remains unchanged).
Connotations
Identical technical connotations in both dialects.
Frequency
Equally common in technical spheres in both regions. Virtually non-existent in general everyday conversation.
Grammar
How to Use “recursive function” in a Sentence
The recursive function [VERB] ...A recursive function to [INFINITIVE] ...Recursive function for [NOUN/GERUND] ...Defining/Implementing a recursive function that ...Vocabulary
Collocations
Examples
Examples of “recursive function” in a Sentence
adverb
British English
- [Not commonly used as an adverb for this term]
- [Not commonly used as an adverb for this term]
American English
- [Not commonly used as an adverb for this term]
- [Not commonly used as an adverb for this term]
adjective
British English
- The recursive algorithm was more elegant but less efficient.
- He offered a recursive definition of grammatical structure.
American English
- The recursive solution was cleaner but used more memory.
- They studied recursive structures in set theory.
Usage
Meaning in Context
Business
Rare. Might appear in highly technical software development discussions.
Academic
Common in mathematics, computer science, linguistics, and formal logic papers and textbooks.
Everyday
Extremely rare. Would only be used when explaining a technical concept to a layperson.
Technical
The primary domain of use. Central to programming, algorithm design, and theoretical computer science.
Vocabulary
Synonyms of “recursive function”
Strong
Neutral
Weak
Vocabulary
Antonyms of “recursive function”
Watch out
Common Mistakes When Using “recursive function”
- Forgetting to define a base case (terminating condition), leading to infinite recursion and a stack overflow error.
- Using recursion for problems where an iterative solution would be significantly more memory-efficient.
- Confusing 'recursive' with 'recurrent' or 'repetitive'. Recursion implies self-reference, not just repetition.
FAQ
Frequently Asked Questions
No. While often elegant and concise, recursive functions can be less memory-efficient than iterative solutions due to the call stack overhead. The choice depends on the problem, language, and context.
Recursion solves a problem by having a function call itself on smaller inputs. Iteration uses looping constructs (like 'for' or 'while') to repeat a block of code. Some problems are more naturally suited to one approach over the other.
A special form of recursion where the recursive call is the very last operation in the function. Some compilers can optimize tail-recursive functions to use constant stack space, making them as efficient as iteration.
Imagine you're standing in a queue to buy tickets. You ask the person in front, 'What number are you?' They ask the person in front of them, and so on, until the request reaches the first person. That person answers (the base case), and the answer is passed back down the line to you. Each person's action is a recursive call.
Recursive function is usually technical (academic/computer science) in register.
Recursive function: in British English it is pronounced /rɪˈkɜːsɪv ˈfʌŋkʃən/, and in American English it is pronounced /rɪˈkɝːsɪv ˈfʌŋkʃən/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “[No common idioms for this technical compound term]”
Learning
Memory Aids
Mnemonic
Think of a set of Russian nesting dolls (matryoshka): each doll opens to reveal a smaller, identical doll inside. A recursive function is like that—it opens (calls) itself to reveal a smaller version of the same problem.
Conceptual Metaphor
A FUNCTION IS A SELF-DUPLICATING MACHINE.
Practice
Quiz
What is the primary risk if a recursive function is designed incorrectly?