On Sunday, 10 May 2015 18:22:42 UTC+1, Phoenix wrote: > > > Why can't you just take any arbitrary large degree polynomial and test? > > I am not getting you. > > I am on a very slow computer. > It will take me a long time to generate any example specifically relevant > to me. > That would involving running my rest of the code entirely. > > Isn't there a way for you to just randomly generate a 300 degree > polynomial? >
A random polynomial for sure won't have the properties your polynomial probably has (e.g. all roots real). > > On Sunday, May 10, 2015 at 12:09:56 PM UTC-5, William wrote: >> >> On Sun, May 10, 2015 at 10:07 AM, Phoenix <[email protected]> wrote: >> > >> > The polynomial will be of integer coefficients always. >> > k will be given as square-root of some integer. >> > >> > Does that help? >> >> Like I said, you should provide a concrete example for whoever >> actually tries to answer your question (probably not me). Something >> that a person can immediately use, e.g. a public sage worksheet or a >> link to a sagecell would help even more: http://sagecell.sagemath.org/ >> >> William >> >> > >> > >> > >> > On Sunday, May 10, 2015 at 10:57:43 AM UTC-5, William wrote: >> >> >> >> On Sun, May 10, 2015 at 8:43 AM, Phoenix <[email protected]> >> wrote: >> >> > I have a polynomial which is of degree ~500 and a number $k$. >> >> > I want to check two properties, >> >> >> >> Your question is far too ambiguous. You should make available an >> >> explicit example of a polynomial and a k that are want to try to do >> >> this with. For example, this problem is completely different >> >> depending o whether the coefficients of the polynomial are floating >> >> point or say huge exact rational numbers, or maybe numbers in an >> >> algebraic number field... >> >> >> >> > >> >> > - That all the roots of this polynomial are real >> >> > >> >> > - That the largest root is below $k$. >> >> > >> >> > What is the fastest way to check this? >> >> > >> >> > -- >> >> > 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 [email protected]. >> >> > To post to this group, send email to [email protected]. >> >> > Visit this group at http://groups.google.com/group/sage-support. >> >> > For more options, visit https://groups.google.com/d/optout. >> >> >> >> >> >> >> >> -- >> >> William (http://wstein.org) >> > >> > -- >> > 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 [email protected]. >> > To post to this group, send email to [email protected]. >> > Visit this group at http://groups.google.com/group/sage-support. >> > For more options, visit https://groups.google.com/d/optout. >> >> >> >> -- >> William (http://wstein.org) >> > -- 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 [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sage-support. For more options, visit https://groups.google.com/d/optout.
