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/01.02.19.0021.01

 Input Form

 Abs[z^a] == E^(I a Im[Log[z]]) /; Element[I a, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Abs", "[", SuperscriptBox["z", "a"], "]"]], "\[Equal]", SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "a", " ", RowBox[List["Im", "[", RowBox[List["Log", "[", "z", "]"]], "]"]]]]]]], "/;", RowBox[List["Element", "[", RowBox[List[RowBox[List["\[ImaginaryI]", " ", "a"]], ",", "Reals"]], "]"]]]]]]

 MathML Form

 "\[LeftBracketingBar]" z a "\[RightBracketingBar]" exp ( a Im ( log ( z ) ) ) /; a TagBox["\[DoubleStruckCapitalR]", Function[Reals]] Condition z a a z a [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Abs", "[", SuperscriptBox["z_", "a_"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "a", " ", RowBox[List["Im", "[", RowBox[List["Log", "[", "z", "]"]], "]"]]]]], "/;", RowBox[List[RowBox[List["\[ImaginaryI]", " ", "a"]], "\[Element]", "Reals"]]]]]]]]

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

 2001-10-29