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; }

 Csc

 http://functions.wolfram.com/01.10.23.0001.01

 Input Form

 Sum[Csc[(Pi (2 k + 1))/(2 n)]^2, {k, 0, n - 1}] == n^2 /; Element[n, Integers] && n >= 0

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k", "=", "0"]], RowBox[List["n", "-", "1"]]], SuperscriptBox[RowBox[List["Csc", "[", FractionBox[RowBox[List["\[Pi]", RowBox[List["(", RowBox[List[RowBox[List["2", "k"]], "+", "1"]], ")"]]]], RowBox[List["2", "n"]]], "]"]], "2"]]], "\[Equal]", SuperscriptBox["n", "2"]]], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "\[And]", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]

 MathML Form

 k = 0 n - 1 csc 2 ( π ( 2 k + 1 ) 2 n ) n 2 /; n Condition k 0 n -1 2 k 1 2 n -1 2 n 2 n [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List[UnderoverscriptBox["\[Sum]", RowBox[List["k_", "=", "0"]], RowBox[List["n_", "-", "1"]]], SuperscriptBox[RowBox[List["Csc", "[", FractionBox[RowBox[List["\[Pi]", " ", RowBox[List["(", RowBox[List[RowBox[List["2", " ", "k_"]], "+", "1"]], ")"]]]], RowBox[List["2", " ", "n_"]]], "]"]], "2"]]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox["n", "2"], "/;", RowBox[List[RowBox[List["n", "\[Element]", "Integers"]], "&&", RowBox[List["n", "\[GreaterEqual]", "0"]]]]]]]]]]

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

 2001-10-29