| Currently there may be errors shown on top of a page, because of a missing Wiki update (PHP version and extension DPL3). |
Navigation
| Topics | Help • Register • News • History • How to • Sequences statistics • Template prototypes |
Absolute value
The absolute value of a real number is defined as:
[math]\displaystyle{ |x| = x }[/math] when [math]\displaystyle{ x\geq 0 }[/math]
[math]\displaystyle{ |x| = -x }[/math] when [math]\displaystyle{ x\lt 0 }[/math]
The absolute value of a complex number z = x + iy is defined as:
[math]\displaystyle{ |z| = \sqrt{x^2+y^2} }[/math]
where we take the positive value of the square root. Note that when y = 0, both definitions are equivalent.
Geometrically, the absolute value of a number represents its distance from the origin.
