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/01.24.16.0020.01

 Input Form

 Sech[(I ArcCsc[z])/2] == Sqrt[2]/Sqrt[1 + (Sqrt[z^2] Sqrt[-1 + z^2])/z^2]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Sech", "[", FractionBox[RowBox[List["\[ImaginaryI]", " ", RowBox[List["ArcCsc", "[", "z", "]"]]]], "2"], "]"]], "\[Equal]", FractionBox[SqrtBox["2"], SqrtBox[RowBox[List["1", "+", FractionBox[RowBox[List[SqrtBox[SuperscriptBox["z", "2"]], " ", SqrtBox[RowBox[List[RowBox[List["-", "1"]], "+", SuperscriptBox["z", "2"]]]]]], SuperscriptBox["z", "2"]]]]]]]]]]

 MathML Form

 sech ( 2 csc - 1 ( z ) ) 2 1 + z 2 - 1 + z 2 z 2 2 -1 z 2 1 2 1 z 2 1 2 -1 z 2 1 2 z 2 -1 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sech", "[", RowBox[List[FractionBox["1", "2"], " ", "\[ImaginaryI]", " ", RowBox[List["ArcCsc", "[", "z_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[SqrtBox["2"], SqrtBox[RowBox[List["1", "+", FractionBox[RowBox[List[SqrtBox[SuperscriptBox["z", "2"]], " ", SqrtBox[RowBox[List[RowBox[List["-", "1"]], "+", SuperscriptBox["z", "2"]]]]]], SuperscriptBox["z", "2"]]]]]]]]]]

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

 2001-10-29