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; }

 Sec

 http://functions.wolfram.com/01.11.04.0007.01

 Input Form

 Residue[Sec[z], {z, Pi/2 + Pi k}] == (-1)^(k - 1) /; Element[k, Integers]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["Residue", "[", RowBox[List[RowBox[List["Sec", "[", "z", "]"]], ",", RowBox[List["{", RowBox[List["z", ",", RowBox[List[FractionBox["\[Pi]", "2"], "+", RowBox[List["\[Pi]", " ", "k"]]]]]], "}"]]]], "]"]], "\[Equal]", SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["k", "-", "1"]]]]], "/;", RowBox[List["k", "\[Element]", "Integers"]]]]]]

 MathML Form

 res z ( sec ( z ) ) ( π 2 + π k ) ( - 1 ) k - 1 /; k TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] Condition Subscript res z z 2 -1 k -1 k -1 k [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["Residue", "[", RowBox[List[RowBox[List["Sec", "[", "z_", "]"]], ",", RowBox[List["{", RowBox[List["z_", ",", RowBox[List[FractionBox["\[Pi]", "2"], "+", RowBox[List["\[Pi]", " ", "k_"]]]]]], "}"]]]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["-", "1"]], ")"]], RowBox[List["k", "-", "1"]]], "/;", RowBox[List["k", "\[Element]", "Integers"]]]]]]]]

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

 2001-10-29