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 FractionalPart

 http://functions.wolfram.com/04.05.03.0003.01

 Input Form

 FractionalPart[x + I y] == FractionalPart[x] + I FractionalPart[y] /; Element[x, Reals] && Element[y, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["FractionalPart", "[", RowBox[List["x", "+", RowBox[List["\[ImaginaryI]", " ", "y"]]]], "]"]], "\[Equal]", RowBox[List[RowBox[List["FractionalPart", "[", "x", "]"]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["FractionalPart", "[", "y", "]"]]]]]]]], "/;", RowBox[List[RowBox[List["Element", "[", RowBox[List["x", ",", "Reals"]], "]"]], "\[And]", " ", RowBox[List["Element", "[", RowBox[List["y", ",", "Reals"]], "]"]]]]]]]]

 MathML Form

 frac ( x + y ) frac ( x ) + frac ( y ) /; x TagBox["\[DoubleStruckCapitalR]", Function[Reals]] y TagBox["\[DoubleStruckCapitalR]", Function[Reals]] Condition FractionalPart x y FractionalPart x FractionalPart y x y [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["FractionalPart", "[", RowBox[List["x_", "+", RowBox[List["\[ImaginaryI]", " ", "y_"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["FractionalPart", "[", "x", "]"]], "+", RowBox[List["\[ImaginaryI]", " ", RowBox[List["FractionalPart", "[", "y", "]"]]]]]], "/;", RowBox[List[RowBox[List["x", "\[Element]", "Reals"]], "&&", RowBox[List["y", "\[Element]", "Reals"]]]]]]]]]]

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

 2001-10-29