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/01.29.27.2155.01

 Input Form

 ArcCsch[z] == -ArcSech[z/Sqrt[1 + z^2]] /; Element[I z, Reals] && I z < -1

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["ArcCsch", "[", "z", "]"]], "\[Equal]", RowBox[List["-", RowBox[List["ArcSech", "[", FractionBox["z", SqrtBox[RowBox[List["1", "+", SuperscriptBox["z", "2"]]]]], "]"]]]]]], "/;", " ", RowBox[List["(", RowBox[List[RowBox[List[RowBox[List["\[ImaginaryI]", " ", "z"]], "\[Element]", "Reals"]], "\[And]", RowBox[List[RowBox[List["\[ImaginaryI]", " ", "z"]], "<", RowBox[List["-", "1"]]]]]], ")"]]]]]]

 MathML Form

 csch - 1 ( z ) - sech - 1 ( z 1 + z 2 ) /; ( z z < - 1 ) Condition z -1 z 1 z 2 1 2 -1 z z -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["ArcCsch", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", RowBox[List["ArcSech", "[", FractionBox["z", SqrtBox[RowBox[List["1", "+", SuperscriptBox["z", "2"]]]]], "]"]]]], "/;", RowBox[List[RowBox[List[RowBox[List["\[ImaginaryI]", " ", "z"]], "\[Element]", "Reals"]], "&&", RowBox[List[RowBox[List["\[ImaginaryI]", " ", "z"]], "<", RowBox[List["-", "1"]]]]]]]]]]]]

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

 2003-08-21