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; }

 Power

 http://functions.wolfram.com/01.02.16.0079.01

 Input Form

 z^(a/2) == (z^a)^(1/2) Exp[(-Pi) I Floor[(Pi - Im[a Log[z]])/(2 Pi)]]

 Standard Form

 Cell[BoxData[RowBox[List[SuperscriptBox["z", FractionBox["a", "2"]], "\[Equal]", RowBox[List[SuperscriptBox[RowBox[List["(", SuperscriptBox["z", "a"], ")"]], FractionBox["1", "2"]], RowBox[List["Exp", "[", RowBox[List[RowBox[List["-", "\[Pi]"]], " ", "\[ImaginaryI]", " ", RowBox[List["Floor", "[", FractionBox[RowBox[List["\[Pi]", "-", RowBox[List["Im", "[", RowBox[List["a", " ", RowBox[List["Log", "[", "z", "]"]]]], "]"]]]], RowBox[List["2", " ", "\[Pi]"]]], "]"]]]], "]"]]]]]]]]

 MathML Form

 z a / 2 z a - π π - Im ( a log ( z ) ) 2 π z a 2 -1 z a 1 2 -1 -1 a z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox["z_", FractionBox["a_", "2"]], "]"]], "\[RuleDelayed]", RowBox[List[SqrtBox[SuperscriptBox["z", "a"]], " ", SuperscriptBox["\[ExponentialE]", RowBox[List[RowBox[List["-", "\[Pi]"]], " ", "\[ImaginaryI]", " ", RowBox[List["Floor", "[", FractionBox[RowBox[List["\[Pi]", "-", RowBox[List["Im", "[", RowBox[List["a", " ", RowBox[List["Log", "[", "z", "]"]]]], "]"]]]], RowBox[List["2", " ", "\[Pi]"]]], "]"]]]]]]]]]]]

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

 2007-05-02