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; }

 ArcTan

 http://functions.wolfram.com/01.14.16.0020.01

 Input Form

 ArcTan[1/z] == ((Pi z)/2) Sqrt[1/z^2] Sqrt[1/(1 + z^2)] Sqrt[1 + z^2] - ArcTan[z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["ArcTan", "[", FractionBox["1", "z"], "]"]], "\[Equal]", RowBox[List[RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", "z"]], "2"], SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], SqrtBox[FractionBox["1", RowBox[List["1", "+", SuperscriptBox["z", "2"]]]]], " ", SqrtBox[RowBox[List["1", "+", SuperscriptBox["z", "2"]]]]]], "-", RowBox[List["ArcTan", "[", "z", "]"]]]]]]]]

 MathML Form

 tan - 1 ( 1 z ) π z 2 1 z 2 1 z 2 + 1 z 2 + 1 - tan - 1 ( z ) 1 z -1 z 2 -1 1 z 2 -1 1 2 1 z 2 1 -1 1 2 z 2 1 1 2 -1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcTan", "[", FractionBox["1", "z_"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["(", RowBox[List["\[Pi]", " ", "z"]], ")"]], " ", SqrtBox[FractionBox["1", SuperscriptBox["z", "2"]]], " ", SqrtBox[FractionBox["1", RowBox[List["1", "+", SuperscriptBox["z", "2"]]]]], " ", SqrtBox[RowBox[List["1", "+", SuperscriptBox["z", "2"]]]]]], "-", RowBox[List["ArcTan", "[", "z", "]"]]]]]]]]

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

 2003-08-21