Okay, so the following works:
z = var('z')
n = 2
@interact
def _(f = ((z+1)^n-abs(z^n+1)), B=(2..10)):
show(complex_plot(f, (-B,B), (-B,B)))
But the following doesn't:
z = var('z')
@interact
def _(f = ((z+1)^n-abs(z^n+1)), n = (2..10), B=(2..10)):
show(complex_plot(f, (-B,B), (-B,B)))
On Monday, June 10, 2013 11:33:01 AM UTC-5, William wrote:
>
> On Mon, Jun 10, 2013 at 9:24 AM, <computati...@gmail.com <javascript:>>
> wrote:
> > Ah, that's unfortunate. Might be a fun summer project to try to
> implement,
> > if I knew where to start.
>
> 1. http://www.sagemath.org/development.html
>
> 2. SAGE_ROOT/devel/sage/sage/plot/complex_plot.pyx which I found by
> doing search_src('complex_plot')
>
> > 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?
>
> Just put
>
> n = 2
>
> instead? You have to post code for a more useful answer....
>
> >
> > 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> 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
> >> >>
> >> >> > --
> >> >> > You received this message because you are subscribed to the Google
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> >> >> > send
> >> >> > an email to sage-support...@googlegroups.com.
> >> >> > To post to this group, send email to sage-s...@googlegroups.com.
> >> >> > Visit this group at
> >> >> > http://groups.google.com/group/sage-support?hl=en.
> >> >> > For more options, visit https://groups.google.com/groups/opt_out.
> >> >> >
> >> >> >
> >> >>
> >> >>
> >> >>
> >> >> --
> >> >> William Stein
> >> >> Professor of Mathematics
> >> >> University of Washington
> >> >> http://wstein.org
> >> >
> >> > --
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>
> >> > For more options, visit https://groups.google.com/groups/opt_out.
> >> >
> >> >
> >>
> >>
> >>
> >> --
> >> 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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