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http://functions.wolfram.com/01.25.03.0002.01
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ArcSinh[((Sqrt[3] - 1) I)/2^(3/2)] == (Pi I)/12
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Cell[BoxData[RowBox[List[RowBox[List["ArcSinh", "[", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[SqrtBox["3"], "-", "1"]], ")"]], " ", "\[ImaginaryI]"]], SuperscriptBox["2", RowBox[List["3", "/", "2"]]]], "]"]], "\[Equal]", FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "12"]]]]]
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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> <msup> <mi> sinh </mi> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> </msup> <mo> ( </mo> <mfrac> <mrow> <mrow> <mo> ( </mo> <mrow> <msqrt> <mn> 3 </mn> </msqrt> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mo> ⁢ </mo> <mi> ⅈ </mi> </mrow> <msup> <mn> 2 </mn> <mrow> <mn> 3 </mn> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> </mfrac> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <mfrac> <mrow> <mi> π </mi> <mo> ⁢ </mo> <mi> ⅈ </mi> </mrow> <mn> 12 </mn> </mfrac> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <arcsinh /> <apply> <times /> <apply> <plus /> <apply> <power /> <cn type='integer'> 3 </cn> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> <imaginaryi /> <apply> <power /> <apply> <power /> <cn type='integer'> 2 </cn> <cn type='rational'> 3 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <times /> <pi /> <imaginaryi /> <apply> <power /> <cn type='integer'> 12 </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["ArcSinh", "[", FractionBox[RowBox[List[RowBox[List["(", RowBox[List[SqrtBox["3"], "-", "1"]], ")"]], " ", "\[ImaginaryI]"]], SuperscriptBox["2", RowBox[List["3", "/", "2"]]]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List["\[Pi]", " ", "\[ImaginaryI]"]], "12"]]]]] |
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Date Added to functions.wolfram.com (modification date)
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