Re: Plot of (2 x^2 - x^3)^(1/3)

*To*: mathgroup at smc.vnet.net*Subject*: [mg112090] Re: Plot of (2 x^2 - x^3)^(1/3)*From*: Bernard <bernard.vuilleumier at edu.ge.ch>*Date*: Mon, 30 Aug 2010 06:18:55 -0400 (EDT)

Thank you very much, I conclude that Piskounov use another convention for the root z^(1/3). He gives, for the graph of (2 x^2 - x^3)^(1/3) what I obtain with : Plot[Piecewise[{{(2 x^2 - x^3)^(1/3), x <= 2}, {-Re[(2 x^2 - x^3)^(1/3)], x > 2}}], {x, -1, 3}] See : Calcul Differentiel et integral, N. Piskounov, Editions MIR, Moscou 1970, on p. 210 Best Regards=