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FactorInteger




Mathematica Notation

Traditional Notation









Number Theory Functions > FactorInteger[n] > General characteristics > Domain and analyticity





http://functions.wolfram.com/13.01.04.0001.01









  


  








Input Form





DomainAndRange[Function[n, FactorInteger[n]]] == Integers \[LongRightArrow] PowerSet[PowerSet[Integers, 2], m]








Standard Form





Cell[BoxData[RowBox[List[RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List["n", ",", " ", RowBox[List["FactorInteger", "[", "n", "]"]]]], "]"]], "]"]], " ", "\[Equal]", "\[IndentingNewLine]", RowBox[List["Integers", "\[LongRightArrow]", RowBox[List["PowerSet", "[", RowBox[List[RowBox[List["PowerSet", "[", RowBox[List["Integers", ",", "2"]], "]"]], ",", " ", "m"]], "]"]]]]]]]]








MathML Form







<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> <mrow> <mi> factors </mi> <mo> &#8289; </mo> <mo> ( </mo> <mi> n </mi> <mo> ) </mo> </mrow> </mrow> <mo> &#8759; </mo> <mrow> <semantics> <mi> &#8469; </mi> <annotation encoding='Mathematica'> TagBox[&quot;\[DoubleStruckCapitalN]&quot;, Function[Integers]] </annotation> </semantics> <mo> &#10230; </mo> <msup> <mrow> <mo> ( </mo> <mrow> <mi> &#8469; </mi> <mo> &#8855; </mo> <mi> &#8469; </mi> </mrow> <mo> ) </mo> </mrow> <mi> m </mi> </msup> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Proportion </ci> <apply> <ci> LongRightArrow </ci> <ci> n </ci> <apply> <ci> factors </ci> <ci> n </ci> </apply> </apply> <apply> <ci> LongRightArrow </ci> <integers /> <apply> <power /> <apply> <ci> CircleTimes </ci> <ci> &#8469; </ci> <ci> &#8469; </ci> </apply> <ci> m </ci> </apply> </apply> </apply> </annotation-xml> </semantics> </math>










Rule Form





Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List["n_", ",", RowBox[List["FactorInteger", "[", "n_", "]"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["Integers", "\[LongRightArrow]", RowBox[List["PowerSet", "[", RowBox[List[RowBox[List["PowerSet", "[", RowBox[List["Integers", ",", "2"]], "]"]], ",", "m"]], "]"]]]]]]]]


Date Added to functions.wolfram.com (modification date)





2001-10-29