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=