On Sat, Mar 14, 2009 at 12:10 PM, Joel B. Mohler <j...@kiwistrawberry.us> wrote:
>
> On Saturday 14 March 2009 02:45:13 pm William Stein wrote:
>> > 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
>
> Evidently, you didn't listen to me approximately 1.5 years ago then. I've
> been ardently opposed to the fast-and-loose handling of variables in plot &
> friends ever since I started using them. Most of my concrete complaints have
> been fixed by the addition of syntax like
> sage: parametric_plot((1,t),(t,-12,12))
> where the key point is the allowance of 't' in the range tuple.
>
> However, if you are going to make a special case for 'x' and 'y', then, I
> don't know what you'd do with this
> sage: plot(1,(y,-5,5))
> which currently produces a horizontal line from -5 to 5. I don't know what it
> should do.
>
> The following a truly sick collection of results (sage 3.3):
> sage: var('t,x,y')
> (t, x, y)
> sage: parametric_plot((1,x),(t,-12,12)) # a vertical line
> sage: parametric_plot((1,x),(y,-12,12)) # a vertical line
>
> Yes, those last examples are pathological and stupid, but they should give me
> an error so at least I know I'm stupid.
Please note that later in the above thread I conceded that I'm wrong,
and now agree with you.
William
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