Recursion (Noun)
Meaning
(mathematics) an expression such that each term is generated by repeating a particular mathematical operation.
Classification
Nouns denoting cognitive processes and contents.
Examples
- In the study of mathematics, the concept of recursion refers to a sequence where each term is defined in terms of previous terms, often leading to intricate patterns and relationships.
- Recursion is commonly used in mathematical functions, such as the factorial, where each result builds upon the previous one through repetition.
- Fractals are a classic example of recursion in mathematics, as they are generated by applying a set of rules repeatedly to create a complex geometric shape.
- Recursion allows mathematicians to define functions in terms of themselves, creating a loop that can be repeated infinitely, such as in the Fibonacci sequence.
- In discrete mathematics, recursion is used to solve problems like the Towers of Hanoi puzzle, by breaking it down into smaller instances of the same problem.