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 FractionalPart

 http://functions.wolfram.com/04.05.27.0035.01

 Input Form

 FractionalPart[z] == z - Quotient[z, 1] - 1 - I /; Re[z] < 0 && Im[z] < 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["FractionalPart", "[", "z", "]"]], "\[Equal]", RowBox[List["z", "-", RowBox[List["Quotient", "[", RowBox[List["z", ",", "1"]], "]"]], "-", "1", "-", "\[ImaginaryI]"]]]], "/;", RowBox[List[RowBox[List[RowBox[List["Re", "[", "z", "]"]], "<", "0"]], "\[And]", RowBox[List[RowBox[List["Im", "[", "z", "]"]], "<", "0"]]]]]]]]

 MathML Form

 frac ( z ) z - quotient ( z , 1 ) - 1 - /; Re ( z ) < 0 Im ( z ) < 0 Condition FractionalPart z z -1 quotient z 1 -1 -1 z 0 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["FractionalPart", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["z", "-", RowBox[List["Quotient", "[", RowBox[List["z", ",", "1"]], "]"]], "-", "1", "-", "\[ImaginaryI]"]], "/;", RowBox[List[RowBox[List[RowBox[List["Re", "[", "z", "]"]], "<", "0"]], "&&", RowBox[List[RowBox[List["Im", "[", "z", "]"]], "<", "0"]]]]]]]]]]

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

 2007-05-02