William Stein wrote:
> On Sat, Mar 14, 2009 at 11:37 AM, Burcin Erocal <bur...@erocal.org> wrote:
>> On Sat, 14 Mar 2009 13:18:40 -0500
>> Jason Grout <jason-s...@creativetrax.com> wrote:
>>
>>> William Stein wrote:
>>>> On Sat, Mar 14, 2009 at 11:09 AM, Jason Grout
>>>> <jason-s...@creativetrax.com> wrote:
>>>>> William Stein wrote:
>>>>>> On Sat, Mar 14, 2009 at 10:29 AM, Carl Witty
>>>>>> <carl.wi...@gmail.com> wrote:
>>>>>>> 2) plotting
>>>>>>> A lot of the plotting code is willing to pick variable names (in
>>>>>>> alphabetical order) if names aren't given in the plot ranges.
>>>>>>> For instance, this is a doctest in plot.py:
>>>>>>>    sage: f = sin(x^2 + y^2)*cos(x)*sin(y)
>>>>>>>    sage: c = contour_plot(f, (-4, 4), (-4, 4), plot_points=100)
>>>>>>> This will be deprecated, but any of the following will work:
>>>>>> -1
>>>>>>
>>>>>> I'm strongly against deprecating anything like this for plotting,
>>>>>> since there are clear labeled axes in the plot.
>>>>>>
>>>>>>>    sage: c = contour_plot(f, (x, -4, 4), (y, -4, 4),
>>>>>>> plot_points=100) sage: c = contour_plot(f.function(x, y), (-4,
>>>>>>> 4), (-4, 4), plot_points=100) sage: c = contour_plot(lambda x,y:
>>>>>>> f(x=x,y=y), (-4, 4), (-4, 4), plot_points=100)
>>>>>>>
>>>>> I'm just as strongly for the deprecation.  The axes are *not*
>>>>> clearly labeled: it's not clear which axis is which because there
>>>>> are no variable names next to the axes.  Even if we fixed that
>>>>> issue, though, it is not clear to the user how to switch the axes
>>>>> if they are opposite from what they want.  contour_plot(f,
>>>>> (x,-4,4), (y,-4,4)) makes it intuitive that if you want to swap
>>>>> roles of the axes, you swap the ranges.  Explicit is better than
>>>>> implicit, I feel, in this case.
>>>>>
>>>> Well then we disagree.  There is a very standard convention in math
>>>> to have the x axis in one spot, then the y-axis.
>>> What happens when you have variables u and v?  Or a and b?  Or t and
>>> s (oops, I mean s and t; I forgot the alphabetical order; see? it's
>>> easy to mess up; but t is often the x-axis, regardless of what the
>>> other variable is called, even if it is alphabetically
>>> smaller... :).  What about variables some_long_name and
>>> some_long_mame?  It's much harder then to figure out which gets
>>> magically picked as the x-axis.
>> I agree with Jason here. I think the variables should be specified
>> explicitly.
>>
>> William, shall we treat the case where the only variables in the
>> expression is x and y specially, and allow not specifying the variables
>> for the axis then? I think this makes the notation confusing and
>> inconsistent.
>>
> 
> I have never ever even once heard of somebody complaining or being
> serious confused because these pop up a plot:
> 
>   sage:
>   sage: plot(sin(u), (-3,3))
>   sage: plot3d(x^2 + y^2, (0,3), (-2,3))
> 
> I have frequently seen and heard of people being confused by
> 
>   sage: x(5)
>   5
> 
> 
> Just for historical perspective, when plot was written there was no
> symbolic ring in sage and no symbolic variables, so putting (x,0,3)
> made no sense...

That makes sense, given the history.  We have them now, so we can be 
better about that sort of thing.

 From #sage-devel IRC:

[13:48] <wstein2> I would now consider proposing that now that we have 
symbolics we try to renormalize things to be very similar to mathematica 
again.
[13:48] <jason--> I agree.
[snip..]
[13:48] <wstein2> If you propose it on sage-devel, i'll write back and 
agree, conceeding my point.


To be clear, I think we are agreeing that Carl Witty's proposal point 
(2) is okay.


Thanks,

Jason


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