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http://functions.wolfram.com/01.14.03.0030.01
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Abs[ArcTan[ComplexInfinity]] == Pi/2
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Cell[BoxData[RowBox[List[RowBox[List["Abs", "[", RowBox[List["ArcTan", "[", "ComplexInfinity", "]"]], "]"]], "\[Equal]", FractionBox["\[Pi]", "2"]]]]]
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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> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[LeftBracketingBar]" </annotation> </semantics> <mrow> <msup> <mi> tan </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mover> <mi> ∞ </mi> <mo> ~ </mo> </mover> <mo> ) </mo> </mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[RightBracketingBar]" </annotation> </semantics> </mrow> <mo> ⩵ </mo> <mfrac> <mi> π </mi> <mn> 2 </mn> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <abs /> <apply> <arctan /> <apply> <ci> OverTilde </ci> <infinity /> </apply> </apply> </apply> <apply> <times /> <pi /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Abs", "[", RowBox[List["ArcTan", "[", "ComplexInfinity", "]"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox["\[Pi]", "2"]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
