Difference between revisions of "Signum function"
(New page: The signum function, denoted <math>\text{sgn}(x)</math>, is equal to <cmath> |
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The signum function, denoted <math>\text{sgn}(x)</math>, is equal to <cmath>\begin{cases} 1 & \text{for } x > 0,\ | The signum function, denoted <math>\text{sgn}(x)</math>, is equal to <cmath>\begin{cases} 1 & \text{for } x > 0,\ | ||
-1 & \text{for } x < 0, \ 0 & \text{for } x=0.\end{cases}</cmath> | -1 & \text{for } x < 0, \ 0 & \text{for } x=0.\end{cases}</cmath> | ||
+ | |||
+ | == Properties == | ||
+ | * The signum function is odd. | ||
+ | * <math>\text{sgn}(x)</math> is equal to <math>\frac{|x|}{x}</math> for <math>x \neq 0</math>. |
Revision as of 20:28, 20 September 2008
The signum function, denoted , is equal to
Properties
- The signum function is odd.
- is equal to for .