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; }

 E

 http://functions.wolfram.com/02.05.08.0006.01

 Input Form

 E + 1/E == 2 Product[1 + 4/((2 k - 1)^2 Pi^2), {k, 1, Infinity}]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List["\[ExponentialE]", "+", FractionBox["1", "\[ExponentialE]"]]], "\[Equal]", RowBox[List["2", " ", RowBox[List[UnderoverscriptBox["\[Product]", RowBox[List["k", "=", "1"]], "\[Infinity]"], RowBox[List["(", RowBox[List["1", "+", FractionBox["4", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["2", " ", "k"]], "-", "1"]], ")"]], "2"], " ", SuperscriptBox["\[Pi]", "2"]]]]]], ")"]]]]]]]]]]

 MathML Form

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

 Rule Form

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

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

 2001-10-29