On Aug 28, 2008, at 6:47 AM, kcrisman wrote: > > Thanks for the replies (and the great work!). Some followup below: > >> Nope, none of these are fixed by the new changes. I tried Maple and >> it did the same thing -- I don't know what Mathematica does. You can >> do these as a workaround: >> > > Interesting that Maple does it. Anyone know about Mma? Mac's Grapher > definitely IS smart about this, rather elegantly so. > >> sage: plot(tan,-20,20).show(ymin=-5, ymax=5) >> sage: plot((x-1)/(x+2),-4,4).show(ymin=-10, ymax=10) >> > > Of course, these plots still have the Intermediate Value Property on > the entire real line. > >> I don't know the best way to be "smart" about fixing this such as how >> much of the asymptote to include, etc. > > Yeah, I was thinking about this, because what you would really want to > do is have an algorithm which would automatically check if the 'bend' > was too great compared to the rest of the function and then NOT plot > the line connecting those points. But would that slow plotting down > too much (since you'd have to compare *all* the bends to each other, > not just to max_bend like in adaptive refinement, as I understand > it)? Not to mention trying to decide what "too great compared" means.
It might be easier to detect a root in 1/f(x) (or some kind of heuristic given a sign change between f(a) and f(b), is a root of f (x) or 1/f(x) more likely). - Robert --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-support@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-support URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
