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 Re

 http://functions.wolfram.com/12.03.27.0009.01

 Input Form

 Re[z] == ((1/2) (1 + E^(2 I Arg[z])) z)/E^(2 I Arg[z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Re", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox["1", "2"], " ", SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "2"]], " ", "\[ImaginaryI]", " ", RowBox[List["Arg", "[", "z", "]"]]]]], " ", RowBox[List["(", RowBox[List["1", "+", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", RowBox[List["Arg", "[", "z", "]"]]]]]]], ")"]], " ", "z"]]]]]]

 MathML Form

 Re ( z ) 1 2 - 2 arg ( z ) ( 1 + 2 arg ( z ) ) z z 1 2 -2 z 1 2 z z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Re", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], " ", SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "2"]], " ", "\[ImaginaryI]", " ", RowBox[List["Arg", "[", "z", "]"]]]]], " ", RowBox[List["(", RowBox[List["1", "+", SuperscriptBox["\[ExponentialE]", RowBox[List["2", " ", "\[ImaginaryI]", " ", RowBox[List["Arg", "[", "z", "]"]]]]]]], ")"]], " ", "z"]]]]]]

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

 2007-05-02