Difference between revisions of "Recursion"
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| − | + | '''Recursion''' is a technique whereby a [[function]], in order to accomplish a task, calls itself to accomplish part of the task. | |
Every recursive solution involves two major parts or cases, the second part having three components: | Every recursive solution involves two major parts or cases, the second part having three components: | ||
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* recursive case(s). A recursive case has three components: | * recursive case(s). A recursive case has three components: | ||
::1. divide the problem into one or more simpler or smaller parts of the problem, | ::1. divide the problem into one or more simpler or smaller parts of the problem, | ||
| − | ::2. call the function | + | ::2. call the function (recursively) on each part, and |
::3. combine the solutions of the parts into a solution for the problem. | ::3. combine the solutions of the parts into a solution for the problem. | ||
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These exercises are useful to see examples of recursion: | These exercises are useful to see examples of recursion: | ||
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:2. Write a function to compute 2 to the power of a non-negative integer. | :2. Write a function to compute 2 to the power of a non-negative integer. | ||
:3. Write a function to compute any number to the power of a non-negative integer. | :3. Write a function to compute any number to the power of a non-negative integer. | ||
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[[Category:Computer Science]] | [[Category:Computer Science]] | ||
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Revision as of 23:32, August 12, 2011
Recursion is a technique whereby a function, in order to accomplish a task, calls itself to accomplish part of the task.
Every recursive solution involves two major parts or cases, the second part having three components:
- base case(s), in which the problem is simple enough to be solved directly, and
- recursive case(s). A recursive case has three components:
- 1. divide the problem into one or more simpler or smaller parts of the problem,
- 2. call the function (recursively) on each part, and
- 3. combine the solutions of the parts into a solution for the problem.
These exercises are useful to see examples of recursion:
- 1. Write a function to compute the sum of all numbers from 1 to n.
- 2. Write a function to compute 2 to the power of a non-negative integer.
- 3. Write a function to compute any number to the power of a non-negative integer.