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 Ceiling

 http://functions.wolfram.com/04.02.16.0001.01

 Input Form

 Ceiling[-z] == -Ceiling[z] /; Element[Re[z], Integers] && Element[Im[z], Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Ceiling", "[", RowBox[List["-", "z"]], "]"]], "\[Equal]", RowBox[List["-", RowBox[List["Ceiling", "[", "z", "]"]]]]]], "/;", " ", RowBox[List[RowBox[List[RowBox[List["Re", "[", "z", "]"]], "\[Element]", "Integers"]], "\[And]", RowBox[List[RowBox[List["Im", "[", "z", "]"]], "\[Element]", "Integers"]]]]]]]]

 MathML Form

 - z - z /; Re ( z ) TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Im ( z ) TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition -1 z -1 z z z [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Ceiling", "[", RowBox[List["-", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["-", RowBox[List["Ceiling", "[", "z", "]"]]]], "/;", 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