Absolute value function: General characteristics (formula 12.01.04.0002)

Abs

$Mathematica Notation$

Complex Components

Abs[z]

General characteristics

Symmetries and periodicities

Parity

http://functions.wolfram.com/12.01.04.0002.01

Input Form

Abs[-z] == Abs[z]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["Abs", "[", RowBox[List["-", "z"]], "]"]], "\[Equal]", RowBox[List["Abs", "[", "z", "]"]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[LeftBracketingBar]" </annotation> </semantics> <mrow> <mo> - </mo> <mi> z </mi> </mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[RightBracketingBar]" </annotation> </semantics> </mrow> <mo> ⩵ </mo> <mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[LeftBracketingBar]" </annotation> </semantics> <mi> z </mi> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[RightBracketingBar]" </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <abs /> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <apply> <abs /> <ci> z </ci> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Abs", "[", RowBox[List["-", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Abs", "[", "z", "]"]]]]]]

Date Added to functions.wolfram.com (modification date)

2001-10-29