Ah, that's unfortunate. Might be a fun summer project to try to implement,
if I knew where to start.
On another note: I really like the @interact annotation. I'm messing around
with it, because I would like to add another parameter to my plot - an
integer representing an index in a discrete family of functions. But I keep
getting python errors about my expression not being symbolic when I try to
include an integer parameter (like n = var('n'), then passing in n=2). Any
tips?
On Monday, June 10, 2013 11:13:41 AM UTC-5, William wrote:
>
> On Mon, Jun 10, 2013 at 9:09 AM, <computati...@gmail.com <javascript:>>
> wrote:
> > Thanks, this is exactly what I was looking for!
> >
> > In fact, I had tried out complex_plot but I must have been using a
> different
> > color function or something, because the roots were much less apparent
> to
> > me. Not sure why I couldn't figure this out on my own...
> >
> > I suppose I have two follow-up questions now:
> > 1. how can I improve the precision of the zero set (it seems to be drawn
> in
> > low resolution right now)
>
> Use plot_points:
>
> f(z) = z - abs(z)
> complex_plot(f, (-3,3), (-3,3), plot_points=200)
>
> > 2. what is the best way to "turn off" the other colors (draw non-zeros
> as
> > white)
>
> I don't know if this is possible or implemented at present.
>
> >
> > On Monday, June 10, 2013 10:02:12 AM UTC-5, William wrote:
> >>
> >> On Sun, Jun 9, 2013 at 3:25 PM, <computati...@gmail.com> wrote:
> >> > Suppose I have a complex function f(z) with a continuous family of
> zeros
> >> > (e.g., f(z)=z-|z|)
> >> >
> >> > Is there a way to easily plot the set of zeros of f in sage,
> regardless
> >> > of how complicated the function f is?
> >> >
> >>
> >> You might find complex_plot useful. For example, for
> >>
> >> f(z) = z - abs(z)
> >> complex_plot(f, (-3,3), (-3,3))
> >>
> >> you'll see a *black line* at the zero set of f(z).
> >>
> >> In the notebook you mind find an interact like this useful:
> >>
> >>
> >> z = var('z')
> >> @interact
> >> def _(f = z-abs(z), B=(2..10)):
> >> show(complex_plot(f, (-B,B), (-B,B)))
> >>
> >> Or just click on
> >>
> >> http://sagecell.sagemath.org/?q=cdcdd7e5-73b4-4c87-87e2-1be300f86674
> >>
> >> > --
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> >> >
> >>
> >>
> >>
> >> --
> >> William Stein
> >> Professor of Mathematics
> >> University of Washington
> >> http://wstein.org
> >
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>
>
>
> --
> William Stein
> Professor of Mathematics
> University of Washington
> http://wstein.org
>
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