Difference between revisions of "Signum function"

 
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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 18:49, 27 September 2008

The signum function, denoted $\text{sgn}(x)$, is equal to \[\begin{cases} 1 & \text{for } x > 0,\\     -1 & \text{for } x < 0, \\ 0 & \text{for } x=0.\end{cases}\]

Properties

  • The signum function is odd.
  • $\text{sgn}(x)$ is equal to $\frac{|x|}{x}$ for $x \neq 0$.

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