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Pi




Mathematica Notation

Traditional Notation









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





http://functions.wolfram.com/02.03.26.0002.01









  


  








Input Form





Pi == 88 ArcTan[1/28] + 8 ArcTan[1/443] - 20 ArcTan[1/1393] - 40 ArcTan[1/11018]








Standard Form





Cell[BoxData[RowBox[List["\[Pi]", "\[Equal]", RowBox[List[RowBox[List["88", " ", RowBox[List["ArcTan", "[", FractionBox["1", "28"], "]"]]]], "+", RowBox[List["8", " ", RowBox[List["ArcTan", "[", FractionBox["1", "443"], "]"]]]], "-", RowBox[List["20", " ", RowBox[List["ArcTan", "[", FractionBox["1", "1393"], "]"]]]], "-", RowBox[List["40", " ", RowBox[List["ArcTan", "[", FractionBox["1", "11018"], "]"]]]]]]]]]]








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> 88 </mn> <mo> &#8290; </mo> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mfrac> <mn> 1 </mn> <mn> 28 </mn> </mfrac> <mo> ) </mo> </mrow> </mrow> <mo> + </mo> <mrow> <mn> 8 </mn> <mo> &#8290; </mo> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mfrac> <mn> 1 </mn> <mn> 443 </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> 1393 </mn> </mfrac> <mo> ) </mo> </mrow> </mrow> <mo> - </mo> <mrow> <mn> 40 </mn> <mo> &#8290; </mo> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mfrac> <mn> 1 </mn> <mn> 11018 </mn> </mfrac> <mo> ) </mo> </mrow> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <pi /> <apply> <plus /> <apply> <times /> <cn type='integer'> 88 </cn> <apply> <arctan /> <cn type='rational'> 1 <sep /> 28 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> 8 </cn> <apply> <arctan /> <cn type='rational'> 1 <sep /> 443 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 20 </cn> <apply> <arctan /> <cn type='rational'> 1 <sep /> 1393 </cn> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 40 </cn> <apply> <arctan /> <cn type='rational'> 1 <sep /> 11018 </cn> </apply> </apply> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "\[Pi]", "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["88", " ", RowBox[List["ArcTan", "[", FractionBox["1", "28"], "]"]]]], "+", RowBox[List["8", " ", RowBox[List["ArcTan", "[", FractionBox["1", "443"], "]"]]]], "-", RowBox[List["20", " ", RowBox[List["ArcTan", "[", FractionBox["1", "1393"], "]"]]]], "-", RowBox[List["40", " ", RowBox[List["ArcTan", "[", FractionBox["1", "11018"], "]"]]]]]]]]]]


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





2001-10-29