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 Ceiling

 http://functions.wolfram.com/04.02.27.0011.01

 Input Form

 Ceiling[x] == Floor[x] - UnitStep[CharacteristicFunction[x, Integers] - 1] + 1 /; Element[x, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Ceiling", "[", "x", "]"]], "\[Equal]", RowBox[List[RowBox[List["Floor", "[", "x", "]"]], "-", RowBox[List["UnitStep", "[", RowBox[List[RowBox[List["CharacteristicFunction", "[", RowBox[List["x", ",", "Integers"]], "]"]], "-", "1"]], "]"]], "+", "1"]]]], "/;", RowBox[List["x", "\[Element]", "Reals"]]]]]]

 MathML Form

 x x - θ UnitStep ( χ ( x ) - 1 ) + 1 /; x TagBox["\[DoubleStruckCapitalR]", Function[Reals]] Condition x x -1 UnitStep Subscript χ x -1 1 x [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Ceiling", "[", "x_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[RowBox[List["Floor", "[", "x", "]"]], "-", RowBox[List["UnitStep", "[", RowBox[List[RowBox[List["CharacteristicFunction", "[", RowBox[List["x", ",", "Integers"]], "]"]], "-", "1"]], "]"]], "+", "1"]], "/;", RowBox[List["x", "\[Element]", "Reals"]]]]]]]]

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

 2007-05-02