On Tuesday, March 1, 2016 at 1:58:19 AM UTC+5:30, Kshitij Saraogi wrote: > > > > On Monday, February 29, 2016 at 12:35:27 PM UTC+5:30, AMiT Kumar wrote: >> >> >> 1. Search Based Solvers: >> >> This idea is currently vague, we need to figure out how exactly >> we can develop this. It would be ambitious to develop this idea and It >> should be >> accompanied with lot of research. Currently an abstract is written in the >> docs: >> >> https://github.com/sympy/sympy/blob/master/doc/src/modules/solvers/solveset.rst >> >> I hope we must have some helpful resource for this idea. > If not, do we need to build this from scratch ? > > >> 2. Simplifying solutions returned from equations involving trigonometric >> expressions: >> >> With the Introduction of solveset an important problem of representing >> infinite solution >> has been solved to some extent, but still there are some issues with >> ImageSet Union, >> due to which a lot of simpler results are not displayed properly. This >> needs to be figured >> out to get better ImageSet Union. >> >> In [10]: solveset(sin(x), x) >> Out[10]: {2⋅n⋅π | n ∊ ℤ} ∪ {2⋅n⋅π + π | n ∊ ℤ} >> >> In [11]: solveset(sin(3*x), x) >> Out[11]: >> ⎧ 2⋅π ⎫ ⎧ >> 2⋅π >> {2⋅n⋅π | n ∊ ℤ} ∪ {2⋅n⋅π + π | n ∊ ℤ} ∪ ⎨2⋅n⋅π - ─── | n ∊ ℤ⎬ ∪ ⎨2⋅n⋅π + >> ─── | >> ⎩ 3 ⎭ ⎩ >> 3 >> >> ⎫ ⎧ π ⎫ ⎧ π ⎫ >> n ∊ ℤ⎬ ∪ ⎨2⋅n⋅π - ─ | n ∊ ℤ⎬ ∪ ⎨2⋅n⋅π + ─ | n ∊ ℤ⎬ >> ⎭ ⎩ 3 ⎭ ⎩ 3 ⎭ >> >> >> Here is a previous approach on fixing this: >> https://github.com/sympy/sympy/pull/7673 >> >> I will look into the union of ImageSet. > Moreover, I think there need to be some improvements to the Diophantine > solver as it breaks for the intersection of ImageSets. > > 3. Implementing more Equation solvers >> >> A lot of thing which needs to be done is already done in old solve, like >> the >> solving of multivariate equation solver, you need to figure out how that >> works >> and how you can port those in solveset following the principles of >> solveset. >> https://github.com/sympy/sympy/issues/10008 >> >> Okay. > I will work on this. > > >> 4. Solving f(x + a) - f(x) = 0 equations: [7] >> <https://github.com/sympy/sympy/issues/10426> >> >> This needs to figured out. >> > > Any ideas how to do so ? >
There are a lot of equations which are not solved the solveset or solve in general, the equation you mentioned could just be one of them, It doesn't denotes a well known type of equation which could be targeted, I would like to know if there is a special case which you are interested in? Also If that's not solved by solve as well? If that's solved by solve, you can get a grasp of the algorithm which could be implemented in solveset. > >>> 5. Building the set infrastructure: >>> Implementing functions to handle multidimensional ImageSet >>> Can we be more elaborate on what other features are we expecting ? >>> >> >> >> >> See this for motivation: https://github.com/sympy/sympy/issues/10008 >> <https://www.google.com/url?q=https%3A%2F%2Fgithub.com%2Fsympy%2Fsympy%2Fissues%2F10008&sa=D&sntz=1&usg=AFQjCNGwOjbZPPNcm8v_LJMJj2mxJ5pUBg> >> > > Thanks for all your help and support. > > ------------------- > Kshitij Saraogi > -- 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 https://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/25bfcd6f-30cb-423c-9a76-814110f72abe%40googlegroups.com. For more options, visit https://groups.google.com/d/optout.
