On Sun, Jan 26, 2014 at 8:11 PM, Harsh Gupta <gupta.hars...@gmail.com> wrote: > I'm reading and understanding the solvers code. I have started > documenting it here https://github.com/sympy/sympy/wiki/solvers.
That's great. Once you are finished we should clean it up and convert it to a page in our docs. Aaron Meurer > > @Matthew > For implementing and dealing with infinite sets I've found a draft by > Richard Fateman > http://www.cs.berkeley.edu/~fateman/papers/sets.pdf > > I have skimmed through it and it appears all of the techniques > described there are implementable in sympy. > > On 25 January 2014 06:28, Aaron Meurer <asmeu...@gmail.com> wrote: >> On Fri, Jan 24, 2014 at 2:02 PM, Harsh Gupta <gupta.hars...@gmail.com> wrote: >>>>> Great to hear it. As noted on the ideas page, this one will require a >>>>> good deal of thought to be done in the application, so let's start >>>>> discussing. >>> >>> Thanks a lot, and sorry for the late reply >>> >>>>> Another thing I'd like to know is if there's literature on solving >>>>> algorithms, particularly solving transcendental equations, and very >>>>> particularly on if there are any complete algorithms out there for >>>>> some class of equations. >>> >>> I found a old paper called "SOLVING SYMBOLIC EQUATIONS WITH PRESS" >>> http://www.research.ed.ac.uk/portal/files/413486/Solving_Symbolic_Equations_%20with_PRESS.pdf >>> >>>>> Do we know how other computer algebra systems solve this problem? How >>>>> robust are the algorithms behind wolframalpha.com ? >>> >>> I have found another paper "A Review of Symbolic Solvers" >>> http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.44.9444&rep=rep1&type=pdf >>> and according to it Mathematica performs performs pretty bad. >> >> That was in 1996. >> >> Nonetheless this, along with the Wester paper, should provide some >> good test cases so we can see what can be done that we can't do. >> >> Aaron Meurer >> >>> >>>>> An audit of the current solve code might be in order. In particular, >>>>> I'd like to know: >>>>> >>>>> 1. what are the different "solvers"? (if we split solve into "hints" >>>>> like with dsolve, these would be the different hints), and >>>>> 2. which are algorithmically complete (i.e., we know they will give >>>>> all solutions, or they can detect somehow if they may have missed >>>>> one)? >>>>> >>>>> And this may raise auxiliary questions, like: >>>>> >>>>> - to what degree can the different solvers be separated? For instance, >>>>> one solver (I'm not sure if it's actually implemented) would use >>>>> decompose() to solve recursively. How would such "recursive solvers" >>>>> look in a hints system? >>>>> >>>>> - of those that are heuristic (not algorithmically complete), can they >>>>> be improved? >>> >>> I'm going through the solvers code and will answer these questions soon. >>> >>> -- >>> You received this message because you are subscribed to the Google Groups >>> "sympy" group. >>> To unsubscribe from this group and stop receiving emails from it, send an >>> email to sympy+unsubscr...@googlegroups.com. >>> To post to this group, send email to sympy@googlegroups.com. >>> Visit this group at http://groups.google.com/group/sympy. >>> For more options, visit https://groups.google.com/groups/opt_out. >> >> -- >> You received this message because you are subscribed to the Google Groups >> "sympy" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to sympy+unsubscr...@googlegroups.com. >> To post to this group, send email to sympy@googlegroups.com. >> Visit this group at http://groups.google.com/group/sympy. >> For more options, visit https://groups.google.com/groups/opt_out. > > > > -- > Harsh > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to sympy+unsubscr...@googlegroups.com. > To post to this group, send email to sympy@googlegroups.com. > Visit this group at http://groups.google.com/group/sympy. > For more options, visit https://groups.google.com/groups/opt_out. -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy. For more options, visit https://groups.google.com/groups/opt_out.
