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; }

 Sin

 http://functions.wolfram.com/01.06.22.0003.01

 Input Form

 FourierCosTransform[Sin[a t], t, z] == Sqrt[2/Pi] (a/(a^2 - z^2)) /; Element[a, Reals]

 Standard Form

 Cell[BoxData[RowBox[List[RowBox[List[RowBox[List["FourierCosTransform", "[", RowBox[List[RowBox[List["Sin", "[", RowBox[List["a", " ", "t"]], "]"]], ",", "t", ",", "z"]], "]"]], "\[Equal]", RowBox[List[SqrtBox[FractionBox["2", "\[Pi]"]], FractionBox["a", RowBox[List[SuperscriptBox["a", "2"], "-", SuperscriptBox["z", "2"]]]]]]]], "/;", RowBox[List["Element", "[", RowBox[List["a", ",", "Reals"]], "]"]]]]]]

 MathML Form

 ℱ𝒸 t [ sin ( a t ) ] ( z ) 2 π a a 2 - z 2 /; a TagBox["\[DoubleStruckCapitalR]", Function[Reals]] Condition Subscript ℱ𝒸 t a t z 2 -1 1 2 a a 2 -1 z 2 -1 a [/itex]

 Rule Form

 Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", RowBox[List["FourierCosTransform", "[", RowBox[List[RowBox[List["Sin", "[", RowBox[List["a_", " ", "t_"]], "]"]], ",", "t_", ",", "z_"]], "]"]], "]"]], "\[RuleDelayed]", RowBox[List[FractionBox[RowBox[List[SqrtBox[FractionBox["2", "\[Pi]"]], " ", "a"]], RowBox[List[SuperscriptBox["a", "2"], "-", SuperscriptBox["z", "2"]]]], "/;", RowBox[List["a", "\[Element]", "Reals"]]]]]]]]

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

 2001-10-29