html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 PartitionsQ

 http://functions.wolfram.com/04.17.04.0001.01

 Input Form

 DomainAndRange[Function[n, PartitionsQ[n]]] == Integers?NonNegative \[LongRightArrow] Integers?Positive

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List["n", ",", " ", RowBox[List["PartitionsQ", "[", "n", "]"]]]], "]"]], "]"]], " ", "\[Equal]", "\[IndentingNewLine]", RowBox[List[RowBox[List["(", RowBox[List["Integers", "?", "NonNegative"]], ")"]], "\[LongRightArrow]", RowBox[List["Integers", "?", "Positive"]]]]]]]]

 MathML Form

 n q TagBox["q", PartitionsQ] ( n ) TagBox["\[DoubleStruckCapitalN]", Function[Integers]] TagBox["\[DoubleStruckCapitalN]", Function[Integers]] + Proportion LongRightArrow n PartitionsQ n LongRightArrow SuperPlus [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["DomainAndRange", "[", RowBox[List["Function", "[", RowBox[List["n_", ",", RowBox[List["PartitionsQ", "[", "n_", "]"]]]], "]"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Integers", "?", "NonNegative"]], "\[LongRightArrow]", RowBox[List["Integers", "?", "Positive"]]]]]]]]

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

 2001-10-29