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  • Abs[ z ] gives the absolute value of the real or complex number z.
  • For complex numbers , Abs[ z ] gives the modulus .
  • Abs[ z ] is left unevaluated if z is not a numeric quantity.
  • See the Mathematica book: Section 1.1.3, Section 1.1.5, Section 3.2.2Section 3.2.2.
  • See also: Re, Im, Arg, Mod, ComplexExpand.

    Further Examples

    The absolute value (or modulus) of a complex number z is the distance from z to the origin.