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/01.24.19.0002.01

 Input Form

 Im[Sech[x + I y]] == -((2 Sin[y] Sinh[x])/(Cos[2 y] + Cosh[2 x]))

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Im", "[", RowBox[List["Sech", "[", RowBox[List["x", "+", RowBox[List["\[ImaginaryI]", " ", "y"]]]], "]"]], "]"]], "\[Equal]", RowBox[List["-", FractionBox[RowBox[List["2", " ", RowBox[List["Sin", "[", "y", "]"]], " ", RowBox[List["Sinh", "[", "x", "]"]]]], RowBox[List[RowBox[List["Cos", "[", RowBox[List["2", " ", "y"]], "]"]], "+", RowBox[List["Cosh", "[", RowBox[List["2", " ", "x"]], "]"]]]]]]]]]]]

 MathML Form

 Im ( sech ( x + y ) ) - 2 sin ( y ) sinh ( x ) cos ( 2 y ) + cosh ( 2 x ) x y -1 2 y x 2 y 2 x -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Im", "[", RowBox[List["Sech", "[", RowBox[List["x_", "+", RowBox[List["\[ImaginaryI]", " ", "y_"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["-", FractionBox[RowBox[List["2", " ", RowBox[List["Sin", "[", "y", "]"]], " ", RowBox[List["Sinh", "[", "x", "]"]]]], RowBox[List[RowBox[List["Cos", "[", RowBox[List["2", " ", "y"]], "]"]], "+", RowBox[List["Cosh", "[", RowBox[List["2", " ", "x"]], "]"]]]]]]]]]]]

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

 2001-10-29