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E




Mathematica Notation

Traditional Notation









Constants > E > Continued fraction representations





http://functions.wolfram.com/02.05.10.0014.01









  


  








Input Form





1/(Sqrt[E] - 1) == 1 + 1/ (1 + 1/(1 + 1/(5 + 1/(1 + 1/(1 + 1/(9 + 1/(1 + 1/(1 + 1/(13 + \[Ellipsis])))))))))








Standard Form





Cell[BoxData[RowBox[List[" ", RowBox[List[FractionBox["1", RowBox[List[SqrtBox["\[ExponentialE]"], "-", "1"]]], "\[Equal]", " ", RowBox[List["1", "+", FractionBox["1", RowBox[List["1", "+", FractionBox["1", RowBox[List["1", "+", FractionBox["1", RowBox[List["5", "+", FractionBox["1", RowBox[List[" ", RowBox[List["1", "+", FractionBox["1", RowBox[List["1", " ", "+", FractionBox["1", RowBox[List["9", "+", FractionBox["1", RowBox[List["1", "+", FractionBox["1", RowBox[List["1", "+", FractionBox["1", RowBox[List["13", "+", "\[Ellipsis]"]]]]]]]]]]]]]]]]]]]]]]]]]], " "]]]]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mfrac> <mn> 1 </mn> <mrow> <msqrt> <mi> &#8519; </mi> </msqrt> <mo> - </mo> <mn> 1 </mn> </mrow> </mfrac> <mo> &#10869; </mo> <mrow> <mn> 1 </mn> <mo> + </mo> <mfrac> <mn> 1 </mn> <mrow> <mstyle scriptlevel='0'> <mn> 1 </mn> </mstyle> <mstyle scriptlevel='0'> <mo> + </mo> </mstyle> <mstyle scriptlevel='0'> <mfrac> <mn> 1 </mn> <mstyle scriptlevel='0'> <mrow> <mn> 1 </mn> <mo> + </mo> <mfrac> <mn> 1 </mn> <mstyle scriptlevel='0'> <mrow> <mn> 5 </mn> <mo> + </mo> <mfrac> <mn> 1 </mn> <mstyle scriptlevel='0'> <mrow> <mtext> </mtext> <mrow> <mn> 1 </mn> <mo> + </mo> <mfrac> <mn> 1 </mn> <mstyle scriptlevel='0'> <mrow> <mn> 1 </mn> <mtext> </mtext> <mo> + </mo> <mfrac> <mn> 1 </mn> <mstyle scriptlevel='0'> <mrow> <mn> 9 </mn> <mo> + </mo> <mfrac> <mn> 1 </mn> <mstyle scriptlevel='0'> <mrow> <mn> 1 </mn> <mo> + </mo> <mfrac> <mn> 1 </mn> <mstyle scriptlevel='0'> <mrow> <mn> 1 </mn> <mo> + </mo> <mfrac> <mn> 1 </mn> <mstyle scriptlevel='0'> <mrow> <mn> 13 </mn> <mo> + </mo> <mo> &#8230; </mo> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mfrac> </mrow> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mfrac> </mrow> </mstyle> </mfrac> </mstyle> <mtext> </mtext> </mrow> </mfrac> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <apply> <power /> <exponentiale /> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 5 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 9 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <plus /> <cn type='integer'> 13 </cn> <ci> &#8230; </ci> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", FractionBox["1", RowBox[List[SqrtBox["\[ExponentialE]"], "-", "1"]]], "]"]], "\[RuleDelayed]", RowBox[List["1", "+", FractionBox["1", RowBox[List["1", "+", FractionBox["1", RowBox[List["1", "+", FractionBox["1", RowBox[List["5", "+", FractionBox["1", RowBox[List["1", "+", FractionBox["1", RowBox[List["1", "+", FractionBox["1", RowBox[List["9", "+", FractionBox["1", RowBox[List["1", "+", FractionBox["1", RowBox[List["1", "+", FractionBox["1", RowBox[List["13", "+", "\[Ellipsis]"]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]


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





2001-10-29