Abs

The absolute value or magnitude of x: , its distance from 0.

WikipediaAbsolute valueAbsolute value of a complex numberMathWorldAbsoluteValueComplexModulusWikidataQ3317982Britannicatopic/absolute-valueDLMF1.9.E7FungrimAbs✓Fungrim entryWolfram LanguageAbs✓

Abs(x)the absolute value of a real x, or the modulus of a complex number.

SageMathabs(x)SymPyAbs(x)mpmathfabs(x)

Domain: Arithmetic

Details

For a real number, if and if .
For a complex number , , its distance from the origin.
Always non-negative, with exactly at .
Satisfies the triangle inequality .
compute-engine doesn't factor constants out of a symbolic argument -- stays as written rather than simplifying to .

Examples

See also: Sign, Chop