html, body, form { margin: 0; padding: 0; width: 100%; } #calculate { position: relative; width: 177px; height: 110px; background: transparent url(/images/alphabox/embed_functions_inside.gif) no-repeat scroll 0 0; } #i { position: relative; left: 18px; top: 44px; width: 133px; border: 0 none; outline: 0; font-size: 11px; } #eq { width: 9px; height: 10px; background: transparent; position: absolute; top: 47px; right: 18px; cursor: pointer; }

 Pi

 http://functions.wolfram.com/02.03.06.0002.01

 Input Form

 Pi == 2 Log[2] + 4 Sum[(-1)^Floor[(k + 1)/2]/(k + 1), {k, 0, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List["\[Pi]", "\[Equal]", RowBox[List[RowBox[List["2", " ", RowBox[List["Log", "[", "2", "]"]]]], "+", RowBox[List["4", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["Floor", "[", RowBox[List[RowBox[List["(", RowBox[List["k", "+", "1"]], ")"]], "/", "2"]], "]"]]], RowBox[List["k", "+", "1"]]]]]]]]]]]]]

 MathML Form

 π 2 log ( 2 ) + 4 k = 0 1 k + 1 ( - 1 ) k + 1 2 2 2 4 k 0 1 k 1 -1 -1 k 1 2 -1 [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", "\[Pi]", "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List["2", " ", RowBox[List["Log", "[", "2", "]"]]]], "+", RowBox[List["4", " ", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], "\[Infinity]"], FractionBox[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["Floor", "[", FractionBox[RowBox[List["k", "+", "1"]], "2"], "]"]]], RowBox[List["k", "+", "1"]]]]]]]]]]]]]

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

 2001-10-29