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; }

 Csch

 http://functions.wolfram.com/01.23.27.0048.01

 Input Form

 Csch[z] == Sqrt[1 - Tanh[z]^2]/Tanh[z] /; Abs[Im[z]] < Pi/2

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Csch", "[", "z", "]"]], "\[Equal]", FractionBox[SqrtBox[RowBox[List["1", "-", SuperscriptBox[RowBox[List["Tanh", "[", "z", "]"]], "2"]]]], RowBox[List["Tanh", "[", "z", "]"]]]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Im", "[", "z", "]"]], "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]

 MathML Form

 csch ( z ) 1 - tanh 2 ( z ) tanh ( z ) /; "\[LeftBracketingBar]" Im ( z ) "\[RightBracketingBar]" < π 2 Condition z 1 -1 z 2 1 2 z -1 z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Csch", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[SqrtBox[RowBox[List["1", "-", SuperscriptBox[RowBox[List["Tanh", "[", "z", "]"]], "2"]]]], RowBox[List["Tanh", "[", "z", "]"]]], "/;", RowBox[List[RowBox[List["Abs", "[", RowBox[List["Im", "[", "z", "]"]], "]"]], "<", FractionBox["\[Pi]", "2"]]]]]]]]]

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

 2001-10-29