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; }

 Sqrt

 http://functions.wolfram.com/01.01.16.0027.01

 Input Form

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

 Standard Form

 Cell[BoxData[RowBox[List[SqrtBox[SuperscriptBox["z", "a"]], "\[Equal]", RowBox[List[SuperscriptBox["z", RowBox[List["a", "/", "2"]]], " ", RowBox[List["Exp", "[", 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 z a / 2 exp ( π π - Im ( a log ( z ) ) 2 π ) z a 1 2 z a 2 -1 -1 a z 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SqrtBox[SuperscriptBox["z_", "a_"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["z", RowBox[List["a", "/", "2"]]], " ", SuperscriptBox["\[ExponentialE]", 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)

 2001-10-29