Signum function: Difference between revisions
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* The signum function is odd. | * The signum function is odd. | ||
* <math>\text{sgn}(x)</math> is equal to <math>\frac{|x|}{x}</math> for <math>x \neq 0</math>. | * <math>\text{sgn}(x)</math> is equal to <math>\frac{|x|}{x}</math> for <math>x \neq 0</math>. | ||
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Latest revision as of 17:49, 27 September 2008
The signum function, denoted 
, is equal to ![\[\begin{cases} 1 & \text{for } x > 0,\\ -1 & \text{for } x < 0, \\ 0 & \text{for } x=0.\end{cases}\]](http://latex.artofproblemsolving.com/4/c/9/4c9c26ce36b5f12f0ba41f4f24d9b03bfe67cf9c.png)
Properties
- The signum function is odd.
is equal to 
for 
.
for 
.This article is a stub. Help us out by expanding it.
