html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Im

 http://functions.wolfram.com/12.04.27.0009.01

 Input Form

 Im[z] == ((1/2) I (1 - E^(2 I Arg[z])) z)/E^(2 I Arg[z])

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Im", "[", "z", "]"]], "\[Equal]", RowBox[List[FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", 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

 Im ( z ) 1 2 - 2 arg ( z ) ( 1 - 2 arg ( z ) ) z z 1 2 -2 z 1 -1 2 z z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Im", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", 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

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