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/01.24.16.0037.01

 Input Form

 Sech[a] + Sech[b] == 2 Cosh[a/2 - b/2] Cosh[a/2 + b/2] Sech[a] Sech[b]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Sech", "[", "a", "]"]], "+", RowBox[List["Sech", "[", "b", "]"]]]], "\[Equal]", RowBox[List["2", " ", RowBox[List["Cosh", "[", RowBox[List[FractionBox["a", "2"], "-", FractionBox["b", "2"]]], "]"]], " ", RowBox[List["Cosh", "[", RowBox[List[FractionBox["a", "2"], "+", FractionBox["b", "2"]]], "]"]], " ", RowBox[List["Sech", "[", "a", "]"]], " ", RowBox[List["Sech", "[", "b", "]"]]]]]]]]

 MathML Form

 sech ( a ) + sech ( b ) 2 cosh ( a 2 - b 2 ) cosh ( a 2 + b 2 ) sech ( a ) sech ( b ) a b 2 a 2 -1 -1 b 2 -1 a 2 -1 b 2 -1 a b [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["Sech", "[", "a_", "]"]], "+", RowBox[List["Sech", "[", "b_", "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List["2", " ", RowBox[List["Cosh", "[", RowBox[List[FractionBox["a", "2"], "-", FractionBox["b", "2"]]], "]"]], " ", RowBox[List["Cosh", "[", RowBox[List[FractionBox["a", "2"], "+", FractionBox["b", "2"]]], "]"]], " ", RowBox[List["Sech", "[", "a", "]"]], " ", RowBox[List["Sech", "[", "b", "]"]]]]]]]]

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

 2001-10-29