Wolfram Language & System 11.0 (2016)|Legacy Documentation

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gives the absolute value of the real or complex number z.


  • Abs is also known as modulus.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • For complex numbers z, Abs[z] gives the modulus .
  • Abs[z] is left unevaluated if z is not a numeric quantity.
  • Abs automatically threads over lists.
Introduced in 1988