Difference between revisions of "Absolute value"
From Maths
(Created page with "The absolute value is sometimes called "abs" ==Definition== The absolute value is a function <math>|\cdot|:\mathbb{R}\rightarrow\mathbb{R}</math> given by: <mat...") |
(No difference)
|
Revision as of 16:08, 7 March 2015
The absolute value is sometimes called "abs"
Definition
The absolute value is a function [math]|\cdot|:\mathbb{R}\rightarrow\mathbb{R}[/math] given by:
[math]|x|=\left\{\begin{array}{lr} x & x\ge 0\\ -x & \text{otherwise} \end{array}\right.[/math]
It simply returns the positive value of a number.
Note
More strictly the function should be given as: [math]|\cdot|:\mathbb{R}\rightarrow\mathbb{R}_{\ge 0}[/math]
Examples
- [math]|-2|=2[/math]
- [math]|2|=2[/math]
