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; }

 InverseErfc

 http://functions.wolfram.com/06.31.13.0001.01

 Input Form

 Derivative[2][w][z] - 2 w[z] Derivative[1][w][z]^2 == 0 /; w[z] == InverseErfc[z]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[RowBox[List[SuperscriptBox["w", "\[Prime]\[Prime]", Rule[MultilineFunction, None]], "[", "z", "]"]], "-", RowBox[List["2", " ", RowBox[List["w", "[", "z", "]"]], " ", SuperscriptBox[RowBox[List[SuperscriptBox["w", "\[Prime]", Rule[MultilineFunction, None]], "[", "z", "]"]], "2"]]]]], "\[Equal]", "0"]], "/;", " ", RowBox[List[RowBox[List["w", "[", "z", "]"]], "\[Equal]", RowBox[List["InverseErfc", "[", "z", "]"]]]]]]]]

 MathML Form

 w ′′ ( z ) - 2 w ( z ) w ( z ) 2 0 /; w ( z ) erfc - 1 ( z ) Condition z 2 w z -1 2 w z z w z 2 0 w z InverseErfc z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[RowBox[List[SuperscriptBox["w", "\[Prime]\[Prime]", Rule[MultilineFunction, None]], "[", "z_", "]"]], "-", RowBox[List["2", " ", RowBox[List["w", "[", "z_", "]"]], " ", SuperscriptBox[RowBox[List[SuperscriptBox["w", "\[Prime]", Rule[MultilineFunction, None]], "[", "z_", "]"]], "2"]]]]], "]"]], "\[RuleDelayed]", RowBox[List["0", "/;", RowBox[List[RowBox[List["w", "[", "z", "]"]], "\[Equal]", RowBox[List["InverseErfc", "[", "z", "]"]]]]]]]]]]

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

 2001-10-29