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Conjugate




Mathematica Notation

Traditional Notation









Complex Components > Conjugate[z] > Complex characteristics > Argument





http://functions.wolfram.com/12.05.19.0008.01









  


  








Input Form





Arg[Conjugate[z]] == -Arg[z] /; Arg[z] != Pi








Standard Form





Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Arg", "[", RowBox[List["Conjugate", "[", "z", "]"]], "]"]], "\[Equal]", RowBox[List["-", RowBox[List["Arg", "[", "z", "]"]]]]]], "/;", RowBox[List[RowBox[List["Arg", "[", "z", "]"]], "\[NotEqual]", "\[Pi]"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <mi> arg </mi> <mo> &#8289; </mo> <mo> ( </mo> <mover> <mi> z </mi> <mo> _ </mo> </mover> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mrow> <mo> - </mo> <mrow> <mi> arg </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> arg </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mo> &#8800; </mo> <mi> &#960; </mi> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <arg /> <apply> <ci> OverBar </ci> <ci> z </ci> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <arg /> <ci> z </ci> </apply> </apply> </apply> <apply> <neq /> <apply> <arg /> <ci> z </ci> </apply> <pi /> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Arg", "[", RowBox[List["Conjugate", "[", "z_", "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", RowBox[List["Arg", "[", "z", "]"]]]], "/;", RowBox[List[RowBox[List["Arg", "[", "z", "]"]], "\[NotEqual]", "\[Pi]"]]]]]]]]


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





2001-10-29