Argument: Transformations (formula 12.02.16.0029)

Arg

$Mathematica Notation$

Complex Components

Arg[z]

Transformations

Related transformations

http://functions.wolfram.com/12.02.16.0029.01

Input Form

E^(I Arg[z]) == z/Abs[z]

Standard Form

Cell[BoxData[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Arg", "[", "z", "]"]]]]], "\[Equal]", FractionBox["z", 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> <msup> <mi> ⅇ </mi> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <mrow> <mi> arg </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> </msup> <mo> ⩵ </mo> <mfrac> <mi> z </mi> <mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[LeftBracketingBar]" </annotation> </semantics> <mi> z </mi> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[RightBracketingBar]" </annotation> </semantics> </mrow> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <power /> <exponentiale /> <apply> <times /> <imaginaryi /> <apply> <arg /> <ci> z </ci> </apply> </apply> </apply> <apply> <times /> <ci> z </ci> <apply> <power /> <apply> <abs /> <ci> z </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Arg", "[", "z_", "]"]]]]], "]"]], "\[RuleDelayed]", FractionBox["z", RowBox[List["Abs", "[", "z", "]"]]]]]]]

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

2001-10-29