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; }

 ArcSec

 http://functions.wolfram.com/01.18.13.0003.01

 Input Form

 Sqrt[1 - 1/z^2] z^2 Derivative[1][w][z] == 1 /; w[z] == Subscript[c, 1] + ArcSec[z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[SqrtBox[RowBox[List["1", "-", FractionBox["1", SuperscriptBox["z", "2"]]]]], " ", SuperscriptBox["z", "2"], RowBox[List[SuperscriptBox["w", "\[Prime]", Rule[MultilineFunction, None]], "[", "z", "]"]]]], " ", "\[Equal]", "1"]], "/;", RowBox[List[RowBox[List["w", "[", "z", "]"]], "\[Equal]", RowBox[List[SubscriptBox["c", "1"], "+", RowBox[List["ArcSec", "[", "z", "]"]]]]]]]]]]

 MathML Form

 1 - 1 z 2 z 2 w ( z ) 1 /; w ( z ) c 1 + sec - 1 ( z ) Condition 1 -1 1 z 2 -1 1 2 z 2 z w z 1 w z Subscript c 1 z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[SqrtBox[RowBox[List["1", "-", FractionBox["1", SuperscriptBox["z_", "2"]]]]], " ", SuperscriptBox["z_", "2"], " ", RowBox[List[SuperscriptBox["w", "\[Prime]", Rule[MultilineFunction, None]], "[", "z_", "]"]]]], "]"]], "\[RuleDelayed]", RowBox[List["1", "/;", RowBox[List[RowBox[List["w", "[", "z", "]"]], "\[Equal]", RowBox[List[SubscriptBox["c", "1"], "+", RowBox[List["ArcSec", "[", "z", "]"]]]]]]]]]]]]

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

 2001-10-29