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http://functions.wolfram.com/01.01.03.0007.01
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Sqrt[I Infinity] == DirectedInfinity[(-1)^(1/4)]
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Cell[BoxData[RowBox[List[SqrtBox[RowBox[List["\[ImaginaryI]", " ", "\[Infinity]"]]], "\[Equal]", RowBox[List["DirectedInfinity", "[", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["1", "/", "4"]]], "]"]]]]]]
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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> <msqrt> <mrow> <mi> ⅈ </mi> <mo> ⁢ </mo> <mi> ∞ </mi> </mrow> </msqrt> <mo> ⩵ </mo> <mrow> <mroot> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mn> 4 </mn> </mroot> <mo> ⁢ </mo> <mi> ∞ </mi> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <power /> <apply> <times /> <imaginaryi /> <infinity /> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <times /> <apply> <power /> <cn type='integer'> -1 </cn> <cn type='rational'> 1 <sep /> 4 </cn> </apply> <infinity /> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SqrtBox[RowBox[List["\[ImaginaryI]", " ", "\[Infinity]"]]], "]"]], "\[RuleDelayed]", RowBox[List["DirectedInfinity", "[", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["1", "/", "4"]]], "]"]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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