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 Ceiling

 http://functions.wolfram.com/04.02.22.0004.01

 Input Form

 LaplaceTransform[Ceiling[t], t, z] == E^z/((E^z - 1) z) /; Re[z] > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["Ceiling", "[", "t", "]"]], ",", "t", ",", "z"]], "]"]], "\[Equal]", FractionBox[SuperscriptBox["\[ExponentialE]", "z"], RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", "z"], "-", "1"]], ")"]], " ", "z"]]]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "0"]]]]]]

 MathML Form

 t [ t ] ( z ) z ( z - 1 ) z /; Re ( z ) > 0 Condition LaplaceTransform t t z z z -1 z -1 z 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["LaplaceTransform", "[", RowBox[List[RowBox[List["Ceiling", "[", "t_", "]"]], ",", "t_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[SuperscriptBox["\[ExponentialE]", "z"], RowBox[List[RowBox[List["(", RowBox[List[SuperscriptBox["\[ExponentialE]", "z"], "-", "1"]], ")"]], " ", "z"]]], "/;", RowBox[List[RowBox[List["Re", "[", "z", "]"]], ">", "0"]]]]]]]]

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

 2001-10-29