Sorry, I should have noted that everything I did here was on
sagenb.com using firefox running on Xubuntu 9.04


On May 6, 12:28 pm, Alden <alden.wal...@gmail.com> wrote:
> 0)
> sagenb.com is awesome, especially since Mathematica 7 takes up 100% of
> my processor at all times under Ubuntu 9.04.
>
> 1)
> When I run:
> parametric_plot( (cos(t), sqrt(2)*sin(t)) , (t,0,2*pi))
> I get a nice 2d parametric plot, with the top of the ellipse clearly
> hitting close to 1.5 on the y-axis.  When I run:
> parametric_plot3d( (cos(t), 1 , sqrt(2)*sin(t)), (t,0,2*pi))
> The top of the ellipse really looks like it's at z=1, and the whole
> thing looks a lot like a circle. I realize that this is probably not a
> problem with sage and rather with whatever is doing the plotting, but
> I thought I should point it out.
>
> 2)
> Also, after clicking and dragging on the 3d plot, I can't type
> anywhere in firefox (the notebook or the address bar) until I click
> onto another tab and then back again.  This may be a problem with java
> in my browser not taking the keyboard away from the applet.
>
> 3-more of a feature request than an error I guess)
> I have noticed from googling that there has been some discussion about
> creating a function from R^n to R^m.  I am sure there is some good
> reason why this isn't the case, but I was curious about whether it
> would be possible to just automatically map everything over tuples of
> symbolic expressions, or make a tuple of symbolic expressions a
> symbolic expression itself.  For example, why couldn't diff( (t, 2*t),
> t) (which gives the error that a tuple is not a symbolic expression)
> notice that the tuple is a tuple of symbolic expressions, and then
> just map itself over it to get (1,2).  Also, then defining f(x,y) =
> (2*x, 2*y) seems like it would work.  Similarly, what if there was a
> dot product function which just did the obvious thing when it was
> given two tuples of symbolic expressions?  The reason that I am
> thinking about this is that it would be really awesome if I could tell
> my vector calculus class to do a line integral by defining what f(c(t))
> =fc(t) and c(t) are and then just:
> integrate( dot( fc(t),  diff( c(t), t), t, 0, 2*pi)
> rather than something like
> integrate( vector( (t,t^2,t^3) ).dot_product( diff( vector( (t,t,t) ),
> t ) ), t,0,2*pi)
> which is a little less intuitive.
>
> -Alden
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