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 UnitStep

 http://functions.wolfram.com/14.01.09.0002.01

 Input Form

 UnitStep[x] == Limit[Exp[-Exp[-(x/\[CurlyEpsilon])]], \[CurlyEpsilon] -> Plus[0]] /; x != 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["UnitStep", "[", "x", "]"]], "\[Equal]", RowBox[List["Limit", "[", RowBox[List[RowBox[List["Exp", "[", RowBox[List["-", RowBox[List["Exp", "[", RowBox[List["-", FractionBox["x", "\[CurlyEpsilon]"]]], "]"]]]], "]"]], ",", RowBox[List["\[CurlyEpsilon]", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]]]], "/;", RowBox[List["x", "\[NotEqual]", "0"]]]]]]

 MathML Form

 θ UnitStep ( x ) lim ε "\[Rule]" + 0 - - x ε /; x 0 Condition UnitStep x ε ε 0 -1 -1 x ε -1 x 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["UnitStep", "[", "x_", "]"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["Limit", "[", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["-", SuperscriptBox["\[ExponentialE]", RowBox[List["-", FractionBox["x", "\[CurlyEpsilon]"]]]]]]], ",", RowBox[List["\[CurlyEpsilon]", "\[Rule]", RowBox[List["+", "0"]]]]]], "]"]], "/;", RowBox[List["x", "\[NotEqual]", "0"]]]]]]]]

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

 2001-10-29