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; }

 ArcCsch

 http://functions.wolfram.com/01.29.16.0045.01

 Input Form

 ArcCsch[Sqrt[2/(-z - 1)]] == (Pi I)/4 - (1/2) ArcCsch[I/z] /; Im[z] < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCsch", "[", SqrtBox[FractionBox["2", RowBox[List[RowBox[List["-", "z"]], "-", "1"]]]], "]"]], "\[Equal]", RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "4"], "-", RowBox[List[FractionBox["1", "2"], RowBox[List["ArcCsch", "[", FractionBox["\[ImaginaryI]", "z"], "]"]]]]]]]], "/;", RowBox[List[RowBox[List["Im", "[", "z", "]"]], "<", "0"]]]]]]

 MathML Form

 csch - 1 ( 2 - z - 1 ) π 4 - 1 2 csch - 1 ( z ) /; Im ( z ) < 0 Condition 2 -1 z -1 -1 1 2 4 -1 -1 1 2 z -1 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", SqrtBox[FractionBox["2", RowBox[List[RowBox[List["-", "z_"]], "-", "1"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "4"], "-", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["ArcCsch", "[", FractionBox["\[ImaginaryI]", "z"], "]"]]]]]], "/;", RowBox[List[RowBox[List["Im", "[", "z", "]"]], "<", "0"]]]]]]]]

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

 2003-08-21