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/01.24.16.0076.01

 Input Form

 Sech[a ArcTanh[z]] == (2 (1 - z^2)^(a/2))/((1 - z)^a + (1 + z)^a)

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["Sech", "[", RowBox[List["a", " ", RowBox[List["ArcTanh", "[", "z", "]"]]]], "]"]], "\[Equal]", FractionBox[RowBox[List["2", " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["z", "2"]]], ")"]], RowBox[List["a", "/", "2"]]]]], RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", "z"]], ")"]], "a"], "+", SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", "z"]], ")"]], "a"]]]]]]]]

 MathML Form

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

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sech", "[", RowBox[List["a_", " ", RowBox[List["ArcTanh", "[", "z_", "]"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["2", " ", SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", SuperscriptBox["z", "2"]]], ")"]], RowBox[List["a", "/", "2"]]]]], RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", "z"]], ")"]], "a"], "+", SuperscriptBox[RowBox[List["(", RowBox[List["1", "+", "z"]], ")"]], "a"]]]]]]]]

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

 2007-05-02