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 KroneckerDelta

 http://functions.wolfram.com/04.20.07.0001.01

 Input Form

 KroneckerDelta[n, m] == (1/(2 Pi)) Integrate[E^(I t (n - m)), {t, 0, 2 Pi}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["KroneckerDelta", "[", RowBox[List["n", ",", "m"]], "]"]], "\[Equal]", RowBox[List[FractionBox["1", RowBox[List["2", "\[Pi]"]]], " ", RowBox[List[SubsuperscriptBox["\[Integral]", "0", RowBox[List["2", "\[Pi]"]]], " ", RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "t", RowBox[List["(", RowBox[List["n", "-", "m"]], ")"]]]]], " ", RowBox[List["\[DifferentialD]", "t"]]]]]]]]]]]]

 MathML Form

 δ KroneckerDelta n , m 1 2 π 0 2 π t ( n - m ) t KroneckerDelta n m 1 2 -1 t 0 2 t n -1 m [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["KroneckerDelta", "[", RowBox[List["n_", ",", "m_"]], "]"]], "]"]], "\[RuleDelayed]", FractionBox[RowBox[List[SubsuperscriptBox["\[Integral]", "0", RowBox[List["2", " ", "\[Pi]"]]], RowBox[List[SuperscriptBox["\[ExponentialE]", RowBox[List["\[ImaginaryI]", " ", "t", " ", RowBox[List["(", RowBox[List["n", "-", "m"]], ")"]]]]], RowBox[List["\[DifferentialD]", "t"]]]]]], RowBox[List["2", " ", "\[Pi]"]]]]]]]

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

 2007-05-02