Number of partitions of an integer into distinct parts: Complex characteristics (formula 04.17.19.0003)

PartitionsQ

$Mathematica Notation$

Integer Functions

PartitionsQ[n]

Complex characteristics

Absolute value

http://functions.wolfram.com/04.17.19.0003.01

Input Form

Abs[PartitionsQ[n]] == PartitionsQ[n]

Standard Form

Cell[BoxData[RowBox[List[RowBox[List["Abs", "[", RowBox[List["PartitionsQ", "[", "n", "]"]], "]"]], "\[Equal]", RowBox[List["PartitionsQ", "[", "n", "]"]]]]]]

MathML Form

<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[LeftBracketingBar]" </annotation> </semantics> <mrow> <semantics> <mi> q </mi> <annotation encoding='Mathematica'> TagBox["q", PartitionsQ] </annotation> </semantics> <mo> ( </mo> <mi> n </mi> <mo> ) </mo> </mrow> <semantics> <mo> ❘ </mo> <annotation encoding='Mathematica'> "\[RightBracketingBar]" </annotation> </semantics> </mrow> <mo> ⩵ </mo> <mrow> <semantics> <mi> q </mi> <annotation encoding='Mathematica'> TagBox["q", PartitionsQ] </annotation> </semantics> <mo> ( </mo> <mi> n </mi> <mo> ) </mo> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <abs /> <apply> <ci> PartitionsQ </ci> <ci> n </ci> </apply> </apply> <apply> <ci> PartitionsQ </ci> <ci> n </ci> </apply> </apply> </annotation-xml> </semantics> </math>

Rule Form

Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Abs", "[", RowBox[List["PartitionsQ", "[", "n_", "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List["PartitionsQ", "[", "n", "]"]]]]]]

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

2001-10-29