On Thursday, March 15, 2018 at 2:25:00 AM UTC, saad khalid wrote: > > That is a good point, however I feel an even better solution in that case > would be giving some of the roots and then giving some indication that > there are an infinite number of roots. Disregarding the case where there > are infinitely many roots, I don't see why it wouldn't be preferable to > have the default behavior to be to give all the roots, or even just give > the option to get all roots even if it is not the default. It just seems > like useful functionality. What are the limitations towards implementing > something like this? >
it could be a different function, which potentially would run much longer, by repetitive splitting of the interval (I guess that's what Mathematica is doing) > > The Mathematica code was simply: > Solve[ Exp[-2*a*x]-4*a*x==0,x]//N > > > What is the result of such a Mathematica command on an example with infinitely many roots given in this thread? > > On Monday, March 5, 2018 at 5:14:05 PM UTC-6, vdelecroix wrote: >> >> On 05/03/2018 20:01, saad khalid wrote: >> > Hello, and thank you for your response. While I agree that the >> behaviour of >> > the function certainly complies with the specifications listed in its >> > description, I think everyone would agree that it would be better if it >> did >> > give all of the roots in a given interval. Would you happen to know >> > anything about the difference between the alg Mathematica uses vs the >> alg >> > Sage uses that lets Mathematica find the root without making the >> interval >> > so precise? >> >> Hello, >> >> I don't agree. There might be infinitely many roots (just take >> the function x * sin(1/x) in the interval [-1,1]). >> >> There is a slight difference between root *isolation* and root >> *approximation*. Since you are not providing the Mathematica code >> you are using it is hard to tell anyway. >> >> Best >> Vincent >> > -- You received this message because you are subscribed to the Google Groups "sage-support" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-support+unsubscr...@googlegroups.com. To post to this group, send email to sage-support@googlegroups.com. Visit this group at https://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
