Difference between revisions of "Idempotence"
(New page: A function <math>f</math> is idempotent if <math>f(x)=f(f(x))</math>. == Examples == * Any constant function is idempotent. * The function <math>f(x)=x</math> is idempotent. * The [[signu...) |
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* The [[absolute value]] function is idempotent. | * The [[absolute value]] function is idempotent. | ||
* The [[greatest integer function]] is idempotent, as is the least integer function. | * The [[greatest integer function]] is idempotent, as is the least integer function. | ||
| + | * Unions and intersections are idempotent, as <math>A \cup A</math> and <math>A \cap A</math> are both equal to <math>A</math>. | ||
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| + | {{stub}} | ||
Latest revision as of 21:07, 14 January 2025
A function 
is idempotent if 
.
Examples
- Any constant function is idempotent.
- The function
is idempotent. - The signum function is idempotent.
- The absolute value function is idempotent.
- The greatest integer function is idempotent, as is the least integer function.
- Unions and intersections are idempotent, as
and 
are both equal to 
.
is idempotent.
and 
are both equal to 
.This article is a stub. Help us out by expanding it.
