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/01.29.27.0139.01

 Input Form

 ArcCsch[Sqrt[z/(1 - z)]] == I (ArcSin[1/Sqrt[z]] - Pi/2) /; Inequality[0, LessEqual, Arg[z], Less, Pi]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCsch", "[", SqrtBox[FractionBox["z", RowBox[List["1", "-", "z"]]]], "]"]], "\[Equal]", RowBox[List["\[ImaginaryI]", RowBox[List["(", RowBox[List[RowBox[List["ArcSin", "[", FractionBox["1", SqrtBox["z"]], "]"]], "-", FractionBox["\[Pi]", "2"]]], ")"]]]]]], "/;", RowBox[List["0", "\[LessEqual]", RowBox[List["Arg", "[", "z", "]"]], "<", "\[Pi]"]]]]]]

 MathML Form

 csch - 1 ( z 1 - z ) ( sin - 1 ( 1 z ) - π 2 ) /; 0 arg ( z ) < π Condition z 1 -1 z -1 1 2 1 z 1 2 -1 -1 2 -1 Inequality 0 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", SqrtBox[FractionBox["z_", RowBox[List["1", "-", "z_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["\[ImaginaryI]", " ", RowBox[List["(", RowBox[List[RowBox[List["ArcSin", "[", FractionBox["1", SqrtBox["z"]], "]"]], "-", FractionBox["\[Pi]", "2"]]], ")"]]]], "/;", RowBox[List["0", "\[LessEqual]", RowBox[List["Arg", "[", "z", "]"]], "<", "\[Pi]"]]]]]]]]

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

 2003-08-21