Recursion (computer science) - Wikipedia, the free encyclopedia

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Wikipedia Contributors. "Recursion (computer science)". Wikipedia, the Free Encyclopedia. 04 April 2013. Web. 18 April 2013.

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- Recursion in computer science is a method where the solution to a problem depends on solutions to smaller instances of the same problem.^[1] The approach can be applied to many types of problems, and recursion is one of the central ideas of computer science.^[2]
  
  "The power of recursion evidently lies in the possibility of defining an infinite set of objects by a finite statement. In the same manner, an infinite number of computations can be described by a finite recursive program, even if this program contains no explicit repetitions."
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- d where the solution to a problem depends on solutions to smaller instances of the same proble
- Some functional programming languages do not define any looping constructs but rely solely on recursion to repeatedly call code
- Recursion is one technique for representing data whose exact size the programmer does not know: the programmer can specify this data with a self-referential definition.
- a lookup table that stores the results of solving sub-problems (to avoid solving them repeatedly and incurring extra computation time), it can be referred to as dynamic programming or memoization.
- divide a problem into sub-problems of the same type as the original, solve those problems, and combine the results. This is often referred to as the divide-and-conquer method;
- A recursive function definition has one or more base cases, meaning input(s) for which the function produces a result trivially (without recurring), and one or more recursive cases,
- the input problem must be simplified in such a way that eventually the base case must be reached. (
- "compute the nth term (nth partial sum)".
- recursion as either "structural" or "generative".
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- the possibility of defining an infinite set of objects by a finite statement.
- an infinite number of computations can be described by a finite recursive program
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