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; }

 Sech

 http://functions.wolfram.com/01.24.27.0026.01

 Input Form

 Sech[z] == -(Csc[I z]/Sqrt[Csc[I z]^2 - 1]) /; 0 < Im[z] < Pi/2

 Standard Form

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

 MathML Form

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

 Rule Form

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

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

 2001-10-29