Try this:
z,n = var('z,n')
@interact
def _(f = ((z+1)^n-abs(z^n+1)), n = (2..10), B=(2..10)):
f = f.subs(n=n)
show(f)
show(complex_plot(f, (-B,B), (-B,B)))
On Mon, Jun 10, 2013 at 9:42 AM, <computational.gr...@gmail.com> wrote:
> 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> 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
>> >> >>
>> >> >> > --
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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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>> >> >
>> >> >
>> >>
>> >>
>> >>
>> >> --
>> >> 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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Professor of Mathematics
University of Washington
http://wstein.org
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