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http://functions.wolfram.com/04.11.06.0003.01
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Fibonacci[\[Nu]] \[Proportional] ((2 Log[GoldenRatio])/Sqrt[5]) \[Nu] +
O[\[Nu]^2] /; (\[Nu] -> 0)
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Fibonacci", "[", "\[Nu]", "]"]], "\[Proportional]", RowBox[List[RowBox[List[FractionBox[RowBox[List["2", RowBox[List["Log", "[", "GoldenRatio", "]"]]]], SqrtBox["5"]], "\[Nu]"]], "+", RowBox[List["O", "[", SuperscriptBox["\[Nu]", "2"], "]"]]]]]], "/;", RowBox[List["(", RowBox[List["\[Nu]", "\[Rule]", "0"]], ")"]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msub> <semantics> <mi> F </mi> <annotation encoding='Mathematica'> TagBox["F", Fibonacci] </annotation> </semantics> <mi> ν </mi> </msub> <mo> ∝ </mo> <mrow> <mrow> <mfrac> <mrow> <mn> 2 </mn> <mo> ⁢ </mo> <mrow> <mi> log </mi> <mo> ⁡ </mo> <mo> ( </mo> <semantics> <mi> ϕ </mi> <annotation encoding='Mathematica'> TagBox["\[Phi]", Function[GoldenRatio]] </annotation> </semantics> <mo> ) </mo> </mrow> </mrow> <msqrt> <mn> 5 </mn> </msqrt> </mfrac> <mo> ⁢ </mo> <mi> ν </mi> </mrow> <mo> + </mo> <mrow> <mi> O </mi> <mo> ⁡ </mo> <mo> ( </mo> <msup> <mi> ν </mi> <mn> 2 </mn> </msup> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> /; </mo> <mrow> <mo> ( </mo> <mrow> <mi> ν </mi> <semantics> <mo> → </mo> <annotation encoding='Mathematica'> "\[Rule]" </annotation> </semantics> <mn> 0 </mn> </mrow> <mo> ) </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <ci> Proportional </ci> <apply> <ci> Fibonacci </ci> <ci> ν </ci> </apply> <apply> <plus /> <apply> <times /> <apply> <times /> <cn type='integer'> 2 </cn> <apply> <ln /> <ci> GoldenRatio </ci> </apply> <apply> <power /> <apply> <power /> <cn type='integer'> 5 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <ci> ν </ci> </apply> <apply> <ci> O </ci> <apply> <power /> <ci> ν </ci> <cn type='integer'> 2 </cn> </apply> </apply> </apply> </apply> <apply> <ci> Rule </ci> <ci> ν </ci> <cn type='integer'> 0 </cn> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Fibonacci", "[", "\[Nu]_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[FractionBox[RowBox[List[RowBox[List["(", RowBox[List["2", " ", RowBox[List["Log", "[", "GoldenRatio", "]"]]]], ")"]], " ", "\[Nu]"]], SqrtBox["5"]], "+", SuperscriptBox[RowBox[List["O", "[", "\[Nu]", "]"]], "2"]]], "/;", RowBox[List["(", RowBox[List["\[Nu]", "\[Rule]", "0"]], ")"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
