recursive

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recursive

A programmer writes a recursive function to calculate a factorial.

Definition
  1. Adjective:
    • Involving or using a rule or procedure that can be applied repeatedly: A process or definition is recursive if it is defined in terms of a simpler or smaller version of itself.
    • Relating to recursion: Pertaining to the repeated application of a rule, algorithm, or function to its own results or to successive data.
Usage and Examples
  • General Use:

    • The function uses a recursive algorithm to calculate the factorial. (The function repeatedly applies the same rule to smaller inputs to compute the result.)
    • The definition of "ancestor" is recursive: a parent is an ancestor, and the ancestor of an ancestor is also an ancestor. (The concept is defined by referring back to itself.)
  • In Computing/Mathematics:

    • Recursive functions are powerful but must have a clear base case to avoid infinite loops.
    • The directory search was implemented with a recursive method to traverse all subfolders.
Advanced Usage
  • Recursive definition: A definition that defines something in terms of itself, typically with a base case.

    • In mathematics, the Fibonacci sequence has a recursive definition.
  • Recursively enumerable: A set for which there is a computational procedure that can list its members (a concept in computer science and mathematical logic).

    • The halting problem is concerned with recursively enumerable sets.
Variants and Related Words
  • Recursively (adverb): In a recursive manner.

    • The problem was solved recursively by breaking it into smaller sub-problems.
  • Recursion (noun): The process of defining or solving something in terms of itself.

    • Recursion is a fundamental concept in computer science.
  • Recursiveness (noun): The quality or state of being recursive.

Synonyms
  • Iterative: Involving repetition. (Note: often implies using loops, while implies self-reference, but they can be related concepts for solving problems.)
  • Self-referential: Referring to itself.
Antonyms
  • Non-recursive: Not involving recursion.
  • Iterative (in specific technical contexts): When contrasting methodologies, solutions use explicit loops rather than function self-calls.
Related Phrases and Concepts
  • Recursive function: A function that calls itself.

    • Designing a recursive function requires careful planning to ensure it terminates.
  • Tail recursion: A special form of recursion where the recursive call is the last operation in the function.

    • Some programming languages optimize tail recursion to improve performance.
  • Recursive data structure: A data structure that contains smaller instances of the same type of structure (e.g., a tree or a linked list).

    • A binary tree is a classic example of a recursive data structure.
recursive

A programmer writes a recursive function to calculate a factorial.

Adjective
  1. of or relating to a recursion

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