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 IntegerPart

 http://functions.wolfram.com/04.04.27.0010.01

 Input Form

 IntegerPart[x] == Floor[x] + 1 /; Element[x, Reals] && x < 0 && !Element[x, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["IntegerPart", "[", "x", "]"]], "\[Equal]", RowBox[List[RowBox[List["Floor", "[", "x", "]"]], "+", "1"]]]], "/;", RowBox[List[RowBox[List["x", "\[Element]", "Reals"]], "\[And]", RowBox[List["x", "<", "0"]], "\[And]", RowBox[List["Not", "[", RowBox[List["x", "\[Element]", "Integers"]], "]"]]]]]]]]

 MathML Form

 int ( x ) x + 1 /; x TagBox["\[DoubleStruckCapitalR]", Function[Reals]] x < 0 x TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition int x x 1 x x 0 x [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["IntegerPart", "[", "x_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["Floor", "[", "x", "]"]], "+", "1"]], "/;", RowBox[List[RowBox[List["x", "\[Element]", "Reals"]], "&&", RowBox[List["x", "<", "0"]], "&&", RowBox[List["!", RowBox[List["x", "\[Element]", "Integers"]]]]]]]]]]]]

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

 2007-05-02