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EulerPhi




Mathematica Notation

Traditional Notation









Number Theory Functions > EulerPhi[n] > Inequalities





http://functions.wolfram.com/13.06.29.0016.01









  


  








Input Form





Max[{EulerPhi[EulerPhi[2]]/2, EulerPhi[EulerPhi[3]]/3, \[Ellipsis]}] == 1/2








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["Max", "[", RowBox[List["{", RowBox[List[FractionBox[RowBox[List["EulerPhi", "[", RowBox[List["EulerPhi", "[", "2", "]"]], "]"]], "2"], ",", FractionBox[RowBox[List["EulerPhi", "[", RowBox[List["EulerPhi", "[", "3", "]"]], "]"]], "3"], ",", "\[Ellipsis]"]], "}"]], "]"]], "\[Equal]", FractionBox["1", "2"]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mi> max </mi> <mo> &#8289; </mo> <mo> ( </mo> <mrow> <mo> { </mo> <mtext> </mtext> <mrow> <mfrac> <mrow> <semantics> <mi> &#981; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[Phi]&quot;, EulerPhi] </annotation> </semantics> <mo> ( </mo> <mrow> <semantics> <mi> &#981; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[Phi]&quot;, EulerPhi] </annotation> </semantics> <mo> ( </mo> <mn> 2 </mn> <mo> ) </mo> </mrow> <mo> ) </mo> </mrow> <mn> 2 </mn> </mfrac> <mo> , </mo> <mtext> </mtext> <mfrac> <mrow> <semantics> <mi> &#981; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[Phi]&quot;, EulerPhi] </annotation> </semantics> <mo> ( </mo> <mrow> <semantics> <mi> &#981; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[Phi]&quot;, EulerPhi] </annotation> </semantics> <mo> ( </mo> <mn> 3 </mn> <mo> ) </mo> </mrow> <mo> ) </mo> </mrow> <mn> 3 </mn> </mfrac> <mo> , </mo> <mo> &#8230; </mo> </mrow> <mo> } </mo> </mrow> <mo> ) </mo> </mrow> <mo> &#10869; </mo> <mfrac> <mn> 1 </mn> <mn> 2 </mn> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <max /> <list> <apply> <times /> <apply> <ci> EulerPhi </ci> <apply> <ci> EulerPhi </ci> <cn type='integer'> 2 </cn> </apply> </apply> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <apply> <times /> <apply> <ci> EulerPhi </ci> <apply> <ci> EulerPhi </ci> <cn type='integer'> 3 </cn> </apply> </apply> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='integer'> -1 </cn> </apply> </apply> <ci> &#8230; </ci> </list> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Max", "[", RowBox[List["{", RowBox[List[RowBox[List[FractionBox["1", "2"], " ", RowBox[List["EulerPhi", "[", RowBox[List["EulerPhi", "[", "2", "]"]], "]"]]]], ",", RowBox[List[FractionBox["1", "3"], " ", RowBox[List["EulerPhi", "[", RowBox[List["EulerPhi", "[", "3", "]"]], "]"]]]], ",", "\[Ellipsis]_"]], "}"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox["1", "2"]]]]]


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





2002-12-18