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Pi




Mathematica Notation

Traditional Notation









Constants > Pi > Representations through more general functions > Through other functions





http://functions.wolfram.com/02.03.26.0016.01









  


  








Input Form





Pi == 4 (ArcTan[1/3] + ArcTan[1/4] + ArcTan[1/7] + ArcTan[1/13])








Standard Form





Cell[BoxData[RowBox[List["\[Pi]", "\[Equal]", RowBox[List["4", RowBox[List["(", RowBox[List[RowBox[List["ArcTan", "[", FractionBox["1", "3"], "]"]], "+", RowBox[List["ArcTan", "[", FractionBox["1", "4"], "]"]], "+", RowBox[List["ArcTan", "[", FractionBox["1", "7"], "]"]], "+", RowBox[List["ArcTan", "[", FractionBox["1", "13"], "]"]]]], ")"]]]]]]]]








MathML Form







<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mi> &#960; </mi> <mo> &#63449; </mo> <mrow> <mn> 4 </mn> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mfrac> <mn> 1 </mn> <mn> 3 </mn> </mfrac> <mo> ) </mo> </mrow> <mo> + </mo> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mfrac> <mn> 1 </mn> <mn> 4 </mn> </mfrac> <mo> ) </mo> </mrow> <mo> + </mo> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mfrac> <mn> 1 </mn> <mn> 7 </mn> </mfrac> <mo> ) </mo> </mrow> <mo> + </mo> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mfrac> <mn> 1 </mn> <mn> 13 </mn> </mfrac> <mo> ) </mo> </mrow> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <pi /> <apply> <times /> <cn type='integer'> 4 </cn> <apply> <plus /> <apply> <arctan /> <cn type='rational'> 1 <sep /> 3 </cn> </apply> <apply> <arctan /> <cn type='rational'> 1 <sep /> 4 </cn> </apply> <apply> <arctan /> <cn type='rational'> 1 <sep /> 7 </cn> </apply> <apply> <arctan /> <cn type='rational'> 1 <sep /> 13 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "\[Pi]", "]"]], "\[RuleDelayed]", RowBox[List["4", " ", RowBox[List["(", RowBox[List[RowBox[List["ArcTan", "[", FractionBox["1", "3"], "]"]], "+", RowBox[List["ArcTan", "[", FractionBox["1", "4"], "]"]], "+", RowBox[List["ArcTan", "[", FractionBox["1", "7"], "]"]], "+", RowBox[List["ArcTan", "[", FractionBox["1", "13"], "]"]]]], ")"]]]]]]]]










Contributed by





Adam Bui (2007)


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





2007-05-02