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; }

 ArcSin

 http://functions.wolfram.com/01.12.16.0200.01

 Input Form

 a ArcSin[x] + b ArcTan[y] == -2 I Pi (Floor[(-Arg[(I x + Sqrt[1 - x^2])^((-I) a)] - Arg[(1 - I y)^((I b)/2)] + Pi)/(2 Pi)] + Floor[(Re[a Log[I x + Sqrt[1 - x^2]]] + Pi)/(2 Pi)] + Floor[(Pi - (1/2) Re[b Log[1 - I y]])/(2 Pi)]) - 2 I Pi (Floor[(-Arg[(1 - I y)^((I b)/2)/(I x + Sqrt[1 - x^2])^(I a)] - Arg[(I y + 1)^((-(1/2)) (I b))] + Pi)/(2 Pi)] + Floor[(Pi - Im[Log[(1 - I y)^((I b)/2)/(I x + Sqrt[1 - x^2])^(I a)]])/ (2 Pi)] + Floor[((1/2) Re[b Log[I y + 1]] + Pi)/(2 Pi)]) + I (1 - (-1)^Floor[Arg[(1 - I y)^((I b)/2)/((I y + 1)^((1/2) (I b)) (I x + Sqrt[1 - x^2])^(I a)) + 1]/(2 Pi) + 1/2]) Pi + 2 I ArcTan[I ((1 - (1 - I y)^((I b)/2)/((I x + Sqrt[1 - x^2])^(I a) (I y + 1)^((1/2) (I b))))/((1 - I y)^((I b)/2)/ ((I y + 1)^((1/2) (I b)) (I x + Sqrt[1 - x^2])^(I a)) + 1))]

 Standard Form

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RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], " ", RowBox[List["(", RowBox[List["\[ImaginaryI]", " ", "b"]], ")"]]]]]]]]], RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["1", "-", RowBox[List["\[ImaginaryI]", " ", "y"]]]], ")"]], FractionBox[RowBox[List["\[ImaginaryI]", " ", "b"]], "2"]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["\[ImaginaryI]", " ", "y"]], "+", "1"]], ")"]], RowBox[List[RowBox[List["-", FractionBox["1", "2"]]], " ", RowBox[List["(", RowBox[List["\[ImaginaryI]", " ", "b"]], ")"]]]]], " ", SuperscriptBox[RowBox[List["(", RowBox[List[RowBox[List["\[ImaginaryI]", " ", "x"]], "+", SqrtBox[RowBox[List["1", "-", SuperscriptBox["x", "2"]]]]]], ")"]], RowBox[List[RowBox[List["-", "\[ImaginaryI]"]], " ", "a"]]]]], "+", "1"]]]]], "]"]]]]]]]]]]]]

 MathML Form

 a sin - 1 ( x ) + b tan - 1 ( y ) - 2 π ( - arg ( ( x + 1 - x 2 ) - a ) - arg ( ( 1 - y ) b 2 ) + π 2 π + Re ( a log ( x + 1 - x 2 ) ) + π 2 π + π - 1 2 Re ( b log ( 1 - y ) ) 2 π ) - 2 π ( - arg ( ( y + 1 ) - 1 2 ( b ) ) - arg ( ( x + 1 - x 2 ) - a ( 1 - y ) b 2 ) + π 2 π + 1 2 Re ( b log ( y + 1 ) ) + π 2 π + π - Im ( log ( ( x + 1 - x 2 ) - a ( 1 - y ) b 2 ) ) 2 π ) + ( 1 - ( - 1 ) arg ( ( y + 1 ) - 1 2 ( b ) ( x + 1 - x 2 ) - a ( 1 - y ) b 2 + 1 ) 2 π + 1 2 ) π + 2 tan - 1 ( 1 - ( x + 1 - x 2 ) - a ( 1 - y ) b 2 ( y + 1 ) - 1 2 ( b ) ( y + 1 ) - 1 2 ( b ) ( x + 1 - x 2 ) - a ( 1 - y ) b 2 + 1 ) a x b y -2 -1 x 1 -1 x 2 1 2 -1 a -1 1 -1 y b 2 -1 2 -1 a x 1 -1 x 2 1 2 2 -1 -1 1 2 b 1 -1 y 2 -1 -1 2 -1 y 1 -1 1 2 b -1 x 1 -1 x 2 1 2 -1 a 1 -1 y b 2 -1 2 -1 1 2 b y 1 2 -1 -1 x 1 -1 x 2 1 2 -1 a 1 -1 y b 2 -1 2 -1 1 -1 -1 y 1 -1 1 2 b x 1 -1 x 2 1 2 -1 a 1 -1 y b 2 -1 1 2 -1 1 2 2 1 -1 x 1 -1 x 2 1 2 -1 a 1 -1 y b 2 -1 y 1 -1 1 2 b y 1 -1 1 2 b x 1 -1 x 2 1 2 -1 a 1 -1 y b 2 -1 1 -1 [/itex]

 Rule Form

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

 2007-05-02