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 Pi

 http://functions.wolfram.com/02.03.06.0042.01

 Input Form

 Pi == x + 2 Sum[Sin[k x]/k, {k, 1, Infinity}] /; Element[x, Reals] && x > 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[Pi]", "\[Equal]", RowBox[List["x", "+", RowBox[List["2", " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List["Sin", "[", RowBox[List["k", " ", "x"]], "]"]], "k"]]]]]]]]], "/;", RowBox[List[RowBox[List["x", "\[Element]", "Reals"]], "\[And]", RowBox[List["x", ">", "0"]]]]]]]]

 MathML Form

 π x + 2 k = 1 sin ( k x ) k /; x TagBox["\[DoubleStruckCapitalR]", Function[Reals]] x > 0 Condition x 2 k 1 k x k -1 x x 0 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "\[Pi]", "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["x", "+", RowBox[List["2", " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "1"]], "\[Infinity]"], FractionBox[RowBox[List["Sin", "[", RowBox[List["k", " ", "x"]], "]"]], "k"]]]]]]], "/;", RowBox[List[RowBox[List["x", "\[Element]", "Reals"]], "&&", RowBox[List["x", ">", "0"]]]]]]]]]]

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

 2001-10-29