On Sat, Nov 19, 2016 at 2:40 PM, Thierry <sage-googlesu...@lma.metelu.net> wrote:
> On Sat, Nov 19, 2016 at 02:31:42PM -0500, David Roe wrote: > > Another thing that might be nice to tie in is the Online Encyclopedia of > > Integer Sequences. Or at least include a link in the documentation, > though > > most people looking to guess a sequence will already be aware of OEIS. > > David > > > sage: oeis? I just meant, in whatever functions Maxie is planning on writing, either use oeis as (part of) one of the guessing regimes, or at least include a link to Sage's oeis function in the docstring. David > > > > On Sat, Nov 19, 2016 at 2:00 PM, Fredrik Johansson < > > fredrik.johans...@gmail.com> wrote: > > > > > > > > > > > On Saturday, November 19, 2016 at 4:56:42 PM UTC+1, Maxie Schmidt > wrote: > > >> > > >> Hello, > > >> > > >> I have been working back and forth between Sage and Mathematica for a > > >> while now trying to learn how to use Sage to replace Mathematica's > core > > >> functionality in my day to day use of it. One of the (sets of) > functions > > >> haven't yet found a suitable open source alternative for is related to > > >> guessing formulas and generating functions for an input sequence (as > in > > >> Mathematica's FindSequenceFunction and FindGeneratingFunction). > Related > > >> functions are Mathematica's RSolve (https://reference.wolfram.com > > >> /language/ref/RSolve.html?q=RSolve) used to solve recurrence > relations > > >> in closed-form formulas, and the closed-source RISC Sigma package ( > > >> https://www.risc.jku.at/research/combinat/risc/ > software/Sigma/index.php) > > >> which is able to generate recurrences for many sums and simplify sums > > >> involving harmonic numbers. > > >> > > >> The closest open source alternative I have come across so far is > Rubey's > > >> software written in FriCAS described at > http://axiom-wiki.newsynthesis > > >> .org/GuessingFormulasForSequences. However, looking at the source > code > > >> for the package leaves quite a bit of work to do to reproduce the > output of > > >> the Mathematica functions mentioned above. Is there a better open > source > > >> alternative to the Mathematica functions FindSequenceFunction and > RSolve > > >> that I'm missing in Sage? > > >> > > >> If there isn't a good complete replacement for using Mathematica's > > >> routines for sequence formula guessing and solving recurrences, I'm > > >> interested in trying to write functions / packages that will replace > > >> Mathematica for these tasks. I have already done some work in Sage > related > > >> to guessing formulas for special polynomial sequences in my Master's > thesis > > >> at UIUC posted at https://arxiv.org/abs/1609.07301. Any suggestions > or > > >> links to related open source software are appreciated. > > >> > > >> > > > Open source alternatives to Mathematica would be most welcome. > > > > > > The ore_algebra package allows guessing holonomic sequences ( > > > http://www.risc.jku.at/research/combinat/software/ > > > ore_algebra/doc/guessing.html) but there is nothing in Sage for closed > > > forms, Stirling-type sequences or multi-sums as far as I know. > > > > > > Fredrik > > > > > > -- > > > You received this message because you are subscribed to the Google > Groups > > > "sage-devel" group. > > > To unsubscribe from this group and stop receiving emails from it, send > an > > > email to sage-devel+unsubscr...@googlegroups.com. > > > To post to this group, send email to sage-devel@googlegroups.com. > > > Visit this group at https://groups.google.com/group/sage-devel. > > > For more options, visit https://groups.google.com/d/optout. > > > > > > > -- > > You received this message because you are subscribed to the Google > Groups "sage-devel" group. > > To unsubscribe from this group and stop receiving emails from it, send > an email to sage-devel+unsubscr...@googlegroups.com. > > To post to this group, send email to sage-devel@googlegroups.com. > > Visit this group at https://groups.google.com/group/sage-devel. > > For more options, visit https://groups.google.com/d/optout. > > -- > You received this message because you are subscribed to the Google Groups > "sage-devel" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sage-devel+unsubscr...@googlegroups.com. > To post to this group, send email to sage-devel@googlegroups.com. > Visit this group at https://groups.google.com/group/sage-devel. > For more options, visit https://groups.google.com/d/optout. > -- You received this message because you are subscribed to the Google Groups "sage-devel" group. To unsubscribe from this group and stop receiving emails from it, send an email to sage-devel+unsubscr...@googlegroups.com. To post to this group, send email to sage-devel@googlegroups.com. Visit this group at https://groups.google.com/group/sage-devel. For more options, visit https://groups.google.com/d/optout.
