ArcCsch[x] - I ArcCsc[y] == ((Sqrt[1 + 1/x^2] Sqrt[1 - 1/y^2] - I/(x y)) ArcSinh[Sqrt[1 - 1/y^2]/x - (I Sqrt[1 + 1/x^2])/y])/ Sqrt[(Sqrt[1 + 1/x^2] Sqrt[1 - 1/y^2] - I/(x y))^2] + I Pi Floor[(Arg[Sqrt[1 + 1/x^2] + 1/x] + Arg[Sqrt[1 - 1/y^2] - I/y])/ (2 Pi)] (1 - (Sqrt[1 + 1/x^2] Sqrt[1 - 1/y^2] - I/(x y))/ Sqrt[(Sqrt[1 + 1/x^2] Sqrt[1 - 1/y^2] - I/(x y))^2]) + (1/2) I Pi (1 - (Sqrt[1 + 1/x^2] Sqrt[1 - 1/y^2] - I/(x y))/ Sqrt[(Sqrt[1 + 1/x^2] Sqrt[1 - 1/y^2] - I/(x y))^2]) - Pi I ((Sqrt[1 + 1/x^2] Sqrt[1 - 1/y^2] - I/(x y))/ Sqrt[(Sqrt[1 + 1/x^2] Sqrt[1 - 1/y^2] - I/(x y))^2] + 1) Floor[(-Arg[Sqrt[1 + 1/x^2] + 1/x] - Arg[Sqrt[1 - 1/y^2] - I/y] + Pi)/ (2 Pi)]

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</apply> <cn type='integer'> 2 </cn> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> <cn type='integer'> 1 </cn> </apply> <apply> <floor /> <apply> <times /> <apply> <plus /> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <arg /> <apply> <plus /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <apply> <power /> <ci> x </ci> <cn type='integer'> 2 </cn> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <cn type='rational'> 1 <sep /> 2 </cn> </apply> <apply> <times /> <cn type='integer'> 1 </cn> <apply> <power /> <ci> x </ci> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <arg /> <apply> <plus /> <apply> <power /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <times /> <cn type='integer'> 1 </cn> 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2007-05-02