Re: Evaluation of functions inside Plot
- To: mathgroup at smc.vnet.net
- Subject: [mg22042] Re: Evaluation of functions inside Plot
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Fri, 11 Feb 2000 02:38:23 -0500 (EST)
- Organization: Universitaet Leipzig
- References: <87tpki$5iq@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi, first of all you should try to type your commands correctly. a) > Plot3D[ > { Abs[x+y I], Hue[ N[(Pi+Arg[x + yI]) /(2 Pi)]]}, > {x,-2,2},{y,-2,2}], > AxesLabel->{"Re","Im","Abs[z]"},PlotPoints->15 > ]; has a a "]" behind the {y,-2,2} that close the Plot3D[] function. b) yI is one symbol and n_o_t y*I or y I The command: Plot3D[{Abs[x + y I], Hue[N[(Pi + Arg[x + y I])/(2 Pi)]]}, {x, -2, 2}, {y, -2, 2}, AxesLabel -> {"Re", "Im", "Abs[z]"}, PlotPoints -> 15]; works fine. Regards Jens Hans-Peter Kunzle wrote: > > I still do not understand well enough how expressions get > evaluated inside a Plot or similar functions (NDSolve etc.). > > This time I copied the code directly from the (quite old) > book by T.W. Gray and J. Glynn, Exploring Mathematics with > Mathematica (p.142): > > Plot3D[ > { Abs[x+y I], Hue[ N[(Pi+Arg[x + yI]) /(2 Pi)]]}, > {x,-2,2},{y,-2,2}], > AxesLabel->{"Re","Im","Abs[z]"},PlotPoints->15 > ]; > > This produces several error messages > > Plot3D::plnc: > {Abs[x + y I], Hue[(N[([Pi] + Arg[x + yI])\(2 Pi)]]} is neither a > machine-size real number at {x,y}={-2.,-2.} nor a list of a real number > and a \alid color directive. > > This book was written for Mathematica 2, of course, and presumably > the code must have worked then. Has anything changed since then? > > I have tried to wrap 'Evaluate' around some of the expressions, but > this had no effect. Since Abs and Arg only work for numerical > arguments I also tried to replace them by explicit expressions in > x and y. But this did not help either. > > Any help is appreciated. > > Hans > -- > H.P. Künzle | Office: (780)492-3798,492-3396 > Dept. of Mathematical Sciences | Fax: (780)492-6826 > University of Alberta | E-mail: HP.Kunzle at UAlberta.ca > Edmonton, Canada T6G 2G1 | WWW:http://www.math.ualberta.ca/~hpk