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; }

 ArcCos

 http://functions.wolfram.com/01.13.16.0218.01

 Input Form

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

 Standard Form

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

 MathML Form

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

 Rule Form

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

 2007-05-02