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 Khinchin

 http://functions.wolfram.com/02.09.07.0004.01

 Input Form

 Khinchin == Exp[(1/Log[2]) Integrate[Log[Floor[1/t]]/(t + 1), {t, 0, 1}]]

 Standard Form

 Cell[BoxData[RowBox[List["Khinchin", "\[Equal]", RowBox[List["Exp", "[", RowBox[List[FractionBox["1", RowBox[List["Log", "[", "2", "]"]]], RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[FractionBox[RowBox[List["Log", "[", RowBox[List["Floor", "[", FractionBox["1", "t"], "]"]], "]"]], RowBox[List["t", "+", "1"]]], RowBox[List["\[DifferentialD]", "t"]]]]]]]], "]"]]]]]]

 MathML Form

 K TagBox["K", Function[List[], Khinchin]] exp ( 1 log ( 2 ) 0 1 1 t + 1 log ( 1 t ) t ) Khinchin 1 2 -1 t 0 1 1 t 1 -1 1 t -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "Khinchin", "]"]], "\[RuleDelayed]", SuperscriptBox["\[ExponentialE]", FractionBox[RowBox[List[SubsuperscriptBox["\[Integral]", "0", "1"], RowBox[List[FractionBox[RowBox[List["Log", "[", RowBox[List["Floor", "[", FractionBox["1", "t"], "]"]], "]"]], RowBox[List["t", "+", "1"]]], RowBox[List["\[DifferentialD]", "t"]]]]]], RowBox[List["Log", "[", "2", "]"]]]]]]]]

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

 2001-10-29