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 FractionalPart

 http://functions.wolfram.com/04.05.30.0001.01

 Input Form

 FractionalPart[z] == 0 /; Element[Re[z], Integers] || Element[Im[z], Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["FractionalPart", "[", "z", "]"]], "\[Equal]", "0"]], "/;", RowBox[List[RowBox[List["Element", "[", RowBox[List[RowBox[List["Re", "[", "z", "]"]], ",", "Integers"]], "]"]], "\[Or]", RowBox[List["Element", "[", RowBox[List[RowBox[List["Im", "[", "z", "]"]], ",", "Integers"]], "]"]]]]]]]]

 MathML Form

 frac ( z ) 0 /; Re ( z ) TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Im ( z ) TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition FractionalPart z 0 z z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["FractionalPart", "[", "z_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List["0", "/;", RowBox[List[RowBox[List[RowBox[List["Re", "[", "z", "]"]], "\[Element]", "Integers"]], "||", RowBox[List[RowBox[List["Im", "[", "z", "]"]], "\[Element]", "Integers"]]]]]]]]]]

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

 2001-10-29