# Abs

## Abs(x)

The absolute value of a number, or the magnitude of a complex number.

For a non-negative real number, Abs(x) returns «x».

For a negative real number, Abs(x) returns -«x».

For a complex number, a + bj, Abs(x) returns the magnitude, equal to $\displaystyle{ \sqrt{a^2+b^2} }$.

## Complex numbers

A complex number can be written in standard (cartesian) form as $\displaystyle{ a + b j }$, or in polar form as $\displaystyle{ r e^{\theta j} }$. Given a complex number, «x», Abs(x) gives r, the magnitude from the polar form. The $\displaystyle{ \theta }$ is given by either ComplexRadians (or ComplexDegrees).

## Examples

Abs(0) → 0
Abs(-0.123) → 0.123
Abs(4.534) → 4.534
Abs(-INF) → INF
Abs(-4-3j) → 5
Abs(1j) → 1