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/01.24.16.0043.01

 Input Form

 Sech[z] + I Csch[z] == Sqrt[2] I Cosh[z - (I Pi)/4] Csch[z] Sech[z]

 Standard Form

 Cell[BoxData[RowBox[List[" ", RowBox[List[RowBox[List[RowBox[List["Sech", "[", "z", "]"]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Csch", "[", "z", "]"]]]]]], "\[Equal]", RowBox[List[SqrtBox["2"], " ", "\[ImaginaryI]", " ", RowBox[List["Cosh", "[", RowBox[List["z", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "4"]]], "]"]], " ", RowBox[List["Csch", "[", "z", "]"]], " ", RowBox[List["Sech", "[", "z", "]"]]]]]]]]]]

 MathML Form

 sech ( z ) + csch ( z ) 2 cosh ( z - π 4 ) csch ( z ) sech ( z ) z z 2 1 2 z -1 4 -1 z z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Sech", "[", "z_", "]"]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["Csch", "[", "z_", "]"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List[SqrtBox["2"], " ", "\[ImaginaryI]", " ", RowBox[List["Cosh", "[", RowBox[List["z", "-", FractionBox[RowBox[List["\[ImaginaryI]", " ", "\[Pi]"]], "4"]]], "]"]], " ", RowBox[List["Csch", "[", "z", "]"]], " ", RowBox[List["Sech", "[", "z", "]"]]]]]]]]

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

 2003-08-21