DomainAndRange[Function[n, BernoulliB[n]]] == Integers \[LongRightArrow] Rationals

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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> <mi> n </mi> <mo> &#10230; </mo> <msub> <semantics> <mi> B </mi> <annotation encoding='Mathematica'> TagBox[&quot;B&quot;, BernoulliB] </annotation> </semantics> <mi> n </mi> </msub> </mrow> <mo> &#8759; </mo> <mrow> <semantics> <mi> &#8484; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalZ]&quot;, Function[Integers]] </annotation> </semantics> <mo> &#10230; </mo> <semantics> <mi> &#8474; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalQ]&quot;, Function[Rationals]] </annotation> </semantics> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Proportion </ci> <apply> <ci> LongRightArrow </ci> <ci> n </ci> <apply> <ci> BernoulliB </ci> <ci> n </ci> </apply> </apply> <apply> <ci> LongRightArrow </ci> <integers /> <rationals /> </apply> </apply> </annotation-xml> </semantics> </math>

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List["n_", ",", RowBox[List["BernoulliB", "[", "n_", "]"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Integers", "\[LongRightArrow]", "Rationals"]]]]]]

2001-10-29