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http://functions.wolfram.com/12.06.16.0017.01
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Sign[z^a] == Sign[z]^a /; Element[a, Reals]
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Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Sign", "[", SuperscriptBox["z", "a"], "]"]], "\[Equal]", SuperscriptBox[RowBox[List["Sign", "[", "z", "]"]], "a"]]], "/;", " ", RowBox[List["Element", "[", RowBox[List["a", ",", "Reals"]], "]"]]]]]]
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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> <mrow> <mi> sgn </mi> <mo> ⁡ </mo> <mo> ( </mo> <msup> <mi> z </mi> <mi> a </mi> </msup> <mo> ) </mo> </mrow> <mo> ⩵ </mo> <msup> <mrow> <mi> sgn </mi> <mo> ⁡ </mo> <mo> ( </mo> <mi> z </mi> <mo> ) </mo> </mrow> <mi> a </mi> </msup> </mrow> <mo> /; </mo> <mrow> <mi> a </mi> <mo> ∈ </mo> <semantics> <mi> ℝ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalR]", Function[Reals]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <ci> Sign </ci> <apply> <power /> <ci> z </ci> <ci> a </ci> </apply> </apply> <apply> <power /> <apply> <ci> Sign </ci> <ci> z </ci> </apply> <ci> a </ci> </apply> </apply> <apply> <in /> <ci> a </ci> <reals /> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Sign", "[", SuperscriptBox["z_", "a_"], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox[RowBox[List["Sign", "[", "z", "]"]], "a"], "/;", RowBox[List["a", "\[Element]", "Reals"]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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){kind=small}
