Golden ratio: Representations through more general functions (formula 02.02.26.0005)

GoldenRatio

$Mathematica Notation$

Constants

GoldenRatio

Representations through more general functions

Through other functions

http://functions.wolfram.com/02.02.26.0005.01

Input Form

GoldenRatio == (1/2) Csc[Pi/10]

Standard Form

Cell[BoxData[RowBox[List["GoldenRatio", "\[Equal]", RowBox[List[FractionBox["1", "2"], RowBox[List["Csc", "[", FractionBox["\[Pi]", "10"], "]"]]]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <semantics> <mi> ϕ </mi> <annotation encoding='Mathematica'> TagBox["\[Phi]", Function[List[], GoldenRatio]] </annotation> </semantics> <mo> ⩵ </mo> <mrow> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> <mo> ⁢ </mo> <mrow> <mi> csc </mi> <mo> ⁡ </mo> <mo> ( </mo> <mfrac> <mi> π </mi> <mn> 10 </mn> </mfrac> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <ci> GoldenRatio </ci> <apply> <times /> <cn type='rational'> 1 <sep /> 2 </cn> <apply> <csc /> <apply> <times /> <pi /> <apply> <power /> <cn type='integer'> 10 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "GoldenRatio", "]"]], "\[RuleDelayed]", RowBox[List[FractionBox["1", "2"], " ", RowBox[List["Csc", "[", FractionBox["\[Pi]", "10"], "]"]]]]]]]]

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

2007-05-02