Absolute value function: Specific values (formula 12.01.03.0027)

Abs

$Mathematica Notation$

Complex Components

Abs[z]

Specific values

Values at fixed points

http://functions.wolfram.com/12.01.03.0027.01

Input Form

Abs[-1 + I Sqrt[3]] == 2

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["Abs", "[", RowBox[List[RowBox[List["-", "1"]], "+", RowBox[List["\[ImaginaryI]", SqrtBox["3"]]]]], "]"]], "\[Equal]", "2"]]]]

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> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> + </mo> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <msqrt> <mn> 3 </mn> </msqrt> </mrow> </mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[RightBracketingBar]" </annotation> </semantics> </mrow> <mo> ⩵ </mo> <mn> 2 </mn> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <abs /> <apply> <plus /> <cn type='integer'> -1 </cn> <apply> <times /> <imaginaryi /> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </apply> </apply> </apply> <cn type='integer'> 2 </cn> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Abs", "[", RowBox[List[RowBox[List["-", "1"]], "+", RowBox[List["\[ImaginaryI]", " ", SqrtBox["3"]]]]], "]"]], "]"]], "\[RuleDelayed]", "2"]]]]

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

2007-05-02