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Exp




Mathematica Notation

Traditional Notation









Elementary Functions > Exp[z] > Specific values > Values at fixed points





http://functions.wolfram.com/01.03.03.0205.01









  


  








Input Form





E^((1/12) I (23 Pi)) == Root[1 - #1^4 + #1^8 & , 7]








Standard Form





Cell[BoxData[RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List[FractionBox["1", "12"], " ", "\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["23", " ", "\[Pi]"]], ")"]]]]], "\[Equal]", RowBox[List["Root", "[", RowBox[List[RowBox[List[RowBox[List["1", "-", SuperscriptBox["#1", "4"], "+", SuperscriptBox["#1", "8"]]], "&"]], ",", "7"]], "]"]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <msup> <mi> &#8519; </mi> <mfrac> <mrow> <mn> 23 </mn> <mo> &#8290; </mo> <mi> &#960; </mi> <mo> &#8290; </mo> <mi> &#8520; </mi> </mrow> <mn> 12 </mn> </mfrac> </msup> <mo> &#10869; </mo> <msubsup> <mrow> <mo> ( </mo> <mrow> <mi> z </mi> <mo> ; </mo> <mrow> <msup> <mi> z </mi> <mn> 8 </mn> </msup> <mo> - </mo> <msup> <mi> z </mi> <mn> 4 </mn> </msup> <mo> + </mo> <mn> 1 </mn> </mrow> </mrow> <mo> ) </mo> </mrow> <mn> 7 </mn> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msubsup> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <power /> <exponentiale /> <apply> <times /> <cn type='integer'> 23 </cn> <pi /> <imaginaryi /> <apply> <power /> <cn type='integer'> 12 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <ci> Subscript </ci> <apply> <ci> CompoundExpression </ci> <ci> z </ci> <apply> <plus /> <apply> <power /> <ci> z </ci> <cn type='integer'> 8 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <power /> <ci> z </ci> <cn type='integer'> 4 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <cn type='integer'> 7 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox["\[ExponentialE]", RowBox[List[FractionBox["1", "12"], " ", "\[ImaginaryI]", " ", RowBox[List["(", RowBox[List["23", " ", "\[Pi]"]], ")"]]]]], "]"]], "\[RuleDelayed]", RowBox[List["Root", "[", RowBox[List[RowBox[List[RowBox[List["1", "-", SuperscriptBox["#1", "4"], "+", SuperscriptBox["#1", "8"]]], "&"]], ",", "7"]], "]"]]]]]]


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





2001-10-29