On Mon, Jun 10, 2013 at 9:09 AM, <computational.gr...@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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>> >
>>
>>
>>
>> --
>> 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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