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Pi




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/02.03.26.0011.01









  


  








Input Form





Pi == 32 ArcTan[1/307] + 20 ArcTan[1/99] + 12 ArcTan[1/70] + 48 ArcTan[1/18]








Standard Form





Cell[BoxData[RowBox[List["\[Pi]", "\[Equal]", RowBox[List[RowBox[List["32", " ", RowBox[List["ArcTan", "[", FractionBox["1", "307"], "]"]]]], "+", RowBox[List["20", " ", RowBox[List["ArcTan", "[", FractionBox["1", "99"], "]"]]]], "+", RowBox[List["12", " ", RowBox[List["ArcTan", "[", FractionBox["1", "70"], "]"]]]], "+", RowBox[List["48", " ", RowBox[List["ArcTan", "[", FractionBox["1", "18"], "]"]]]]]]]]]]








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> &#10869; </mo> <mrow> <mrow> <mn> 48 </mn> <mo> &#8290; </mo> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mfrac> <mn> 1 </mn> <mn> 18 </mn> </mfrac> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 12 </mn> <mo> &#8290; </mo> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mfrac> <mn> 1 </mn> <mn> 70 </mn> </mfrac> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 20 </mn> <mo> &#8290; </mo> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mfrac> <mn> 1 </mn> <mn> 99 </mn> </mfrac> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 32 </mn> <mo> &#8290; </mo> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mfrac> <mn> 1 </mn> <mn> 307 </mn> </mfrac> <mo> ) </mo> </mrow> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <pi /> <apply> <plus /> <apply> <times /> <cn type='integer'> 48 </cn> <apply> <arctan /> <cn type='rational'> 1 <sep /> 18 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 12 </cn> <apply> <arctan /> <cn type='rational'> 1 <sep /> 70 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 20 </cn> <apply> <arctan /> <cn type='rational'> 1 <sep /> 99 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 32 </cn> <apply> <arctan /> <cn type='rational'> 1 <sep /> 307 </cn> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "\[Pi]", "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["32", " ", RowBox[List["ArcTan", "[", FractionBox["1", "307"], "]"]]]], "+", RowBox[List["20", " ", RowBox[List["ArcTan", "[", FractionBox["1", "99"], "]"]]]], "+", RowBox[List["12", " ", RowBox[List["ArcTan", "[", FractionBox["1", "70"], "]"]]]], "+", RowBox[List["48", " ", RowBox[List["ArcTan", "[", FractionBox["1", "18"], "]"]]]]]]]]]]


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





2002-12-18