DomainAndRange[Function[{Subscript[x, 1], Subscript[x, 2], \[Ellipsis], Subscript[x, n]}, Max[Subscript[x, 1], Subscript[x, 2], \[Ellipsis], Subscript[x, n]]]] == PowerSet[Reals, n] \[LongRightArrow] 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> <mo> ( </mo> <mrow> <msub> <mi> x </mi> <mn> 1 </mn> </msub> <mo> &#8902; </mo> <msub> <mi> x </mi> <mn> 2 </mn> </msub> <mo> &#8902; </mo> <mo> &#8230; </mo> <mo> &#8902; </mo> <msub> <mi> x </mi> <mi> n </mi> </msub> </mrow> <mo> ) </mo> </mrow> <mo> &#10230; </mo> <mrow> <mrow> <mi> m </mi> <mo> &#8290; </mo> <mi> ax </mi> </mrow> <mo> ( </mo> <mrow> <msub> <mi> x </mi> <mn> 1 </mn> </msub> <mo> , </mo> <msub> <mi> x </mi> <mn> 2 </mn> </msub> <mo> , </mo> <mo> &#8230; </mo> <mo> , </mo> <msub> <mi> x </mi> <mi> n </mi> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> <mo> &#8759; </mo> <mrow> <msup> <semantics> <mi> &#8477; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalR]&quot;, Function[Reals]] </annotation> </semantics> <mi> n </mi> </msup> <mo> &#10230; </mo> <semantics> <mi> &#8477; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalR]&quot;, Function[Reals]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Proportion </ci> <apply> <ci> LongRightArrow </ci> <apply> <ci> Star </ci> <apply> <ci> Subscript </ci> <ci> x </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> x </ci> <cn type='integer'> 2 </cn> </apply> <ci> &#8230; </ci> <apply> <ci> Subscript </ci> <ci> x </ci> <ci> n </ci> </apply> </apply> <apply> <apply> <times /> <ci> m </ci> <ci> ax </ci> </apply> <apply> <ci> Subscript </ci> <ci> x </ci> <cn type='integer'> 1 </cn> </apply> <apply> <ci> Subscript </ci> <ci> x </ci> <cn type='integer'> 2 </cn> </apply> <ci> &#8230; </ci> <apply> <ci> Subscript </ci> <ci> x </ci> <ci> n </ci> </apply> </apply> </apply> <apply> <ci> LongRightArrow </ci> <apply> <power /> <reals /> <ci> n </ci> </apply> <reals /> </apply> </apply> </annotation-xml> </semantics> </math>

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2001-10-29