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/02.03.08.0005.01

 Input Form

 6/Pi^2 == Product[1 - 1/Subscript[p, k]^2, {k, 1, Infinity}] /; Element[Subscript[p, k], Primes]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[FractionBox["6", SuperscriptBox["\[Pi]", "2"]], "\[Equal]", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "\[Infinity]"], RowBox[List["(", RowBox[List["1", "-", FractionBox["1", SubsuperscriptBox["p", "k", "2"]]]], ")"]]]]]], "/;", RowBox[List[SubscriptBox["p", "k"], "\[Element]", "Primes"]]]]]]

 MathML Form

 6 π 2 k = 1 ( 1 - 1 p k 2 ) /; p k TagBox["\[DoubleStruckCapitalP]", Function[Primes]] Condition 6 2 -1 k 1 1 -1 1 Subscript p k 2 -1 Subscript p k [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", FractionBox["6", SuperscriptBox["\[Pi]", "2"]], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "\[Infinity]"], RowBox[List["(", RowBox[List["1", "-", FractionBox["1", SubsuperscriptBox["p", "k", "2"]]]], ")"]]]], "/;", RowBox[List[SubscriptBox["p", "k"], "\[Element]", "Primes"]]]]]]]]

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

 2001-10-29