Magnitude

or Absolute Value is a monadic scalar function which gives the absolute value of a real or complex number. Magnitude shares the glyph  with the dyadic arithmetic function Residue.

Properties
The magnitude of any number is a non-negative real number.

For real numbers, the magnitude equals the original number times (or divided by, for non-zero numbers) its sign.

For complex numbers, the magnitude is defined as the Euclidean distance from the number 0 on the complex plane.

Any real or complex number is equal to the product of its signum and magnitude.

Documentation

 * Dyalog
 * J Dictionary, NuVoc