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; }

 Sinh

 http://functions.wolfram.com/01.19.16.0117.01

 Input Form

 a Sinh[z] + b Cosh[z] == a Sqrt[1 - b^2/a^2] Sinh[z + ArcTanh[b/a]]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["a", " ", RowBox[List["Sinh", "[", "z", "]"]]]], "+", RowBox[List["b", " ", RowBox[List["Cosh", "[", "z", "]"]]]]]], "\[Equal]", RowBox[List["a", " ", SqrtBox[RowBox[List["1", "-", FractionBox[SuperscriptBox["b", "2"], SuperscriptBox["a", "2"]]]]], " ", RowBox[List["Sinh", "[", RowBox[List["z", "+", RowBox[List["ArcTanh", "[", FractionBox["b", "a"], "]"]]]], "]"]]]]]]]]

 MathML Form

 a sinh ( z ) + b cosh ( z ) a 1 - b 2 a 2 sinh ( z + tanh - 1 ( b a ) ) a z b z a 1 -1 b 2 a 2 -1 1 2 z b a -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List["a_", " ", RowBox[List["Sinh", "[", "z_", "]"]]]], "+", RowBox[List["b_", " ", RowBox[List["Cosh", "[", "z_", "]"]]]]]], "]"]], "\[RuleDelayed]", RowBox[List["a", " ", SqrtBox[RowBox[List["1", "-", FractionBox[SuperscriptBox["b", "2"], SuperscriptBox["a", "2"]]]]], " ", RowBox[List["Sinh", "[", RowBox[List["z", "+", RowBox[List["ArcTanh", "[", FractionBox["b", "a"], "]"]]]], "]"]]]]]]]]

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

 2003-08-21