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 ArcTan

 http://functions.wolfram.com/01.14.16.0127.01

 Input Form

 ArcTan[(2 Sqrt[z])/(z - 1)] == 2 Sqrt[z] Sqrt[1/z] ArcTan[Sqrt[1/z]] /; Abs[z] > 1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcTan", "[", FractionBox[RowBox[List["2", SqrtBox["z"]]], RowBox[List["z", "-", "1"]]], "]"]], "\[Equal]", RowBox[List["2", SqrtBox["z"], SqrtBox[FractionBox["1", "z"]], " ", RowBox[List["ArcTan", "[", SqrtBox[FractionBox["1", "z"]], "]"]]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], ">", "1"]]]]]]

 MathML Form

 tan - 1 ( 2 z z - 1 ) 2 z 1 z tan - 1 ( 1 z ) /; "\[LeftBracketingBar]" z "\[RightBracketingBar]" > 1 Condition 2 z 1 2 z -1 -1 2 z 1 2 1 z -1 1 2 1 z -1 1 2 z 1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcTan", "[", FractionBox[RowBox[List["2", " ", SqrtBox["z_"]]], RowBox[List["z_", "-", "1"]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["2", " ", SqrtBox["z"], " ", SqrtBox[FractionBox["1", "z"]], " ", RowBox[List["ArcTan", "[", SqrtBox[FractionBox["1", "z"]], "]"]]]], "/;", RowBox[List[RowBox[List["Abs", "[", "z", "]"]], ">", "1"]]]]]]]]

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

 2003-08-21