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 IntegerPart

 http://functions.wolfram.com/04.04.27.0022.01

 Input Form

 IntegerPart[x] == x - Mod[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["x", "-", RowBox[List["Mod", "[", RowBox[List["x", ",", "1"]], "]"]]]]]], "/;", RowBox[List[RowBox[List[RowBox[List["x", "\[Element]", "Reals"]], "\[And]", RowBox[List["x", ">", "0"]]]], "\[Or]", RowBox[List["(", RowBox[List["x", "\[Element]", "Integers"]], ")"]]]]]]]]

 MathML Form

 int ( x ) x - x mod 1 \$CellContext`x 1 /; x TagBox["\[DoubleStruckCapitalR]", Function[Reals]] x > 0 x TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition int x x -1 \$CellContext`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["x", "-", RowBox[List["Mod", "[", RowBox[List["x", ",", "1"]], "]"]]]], "/;", RowBox[List[RowBox[List["(", RowBox[List[RowBox[List["x", "\[Element]", "Reals"]], "&&", RowBox[List["x", ">", "0"]]]], ")"]], "||", RowBox[List["x", "\[Element]", "Integers"]]]]]]]]]]

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

 2007-05-02