[sage-support] Counting of combinations

Hi all, please consider this counting of special combinations: def C(n, k): return Compositions(n, max_part=k, inner=[k]).cardinality() for n in (0..4): print([C(n, k) for k in (0..n)]) [0] [0, 1] [0, 1, 1] [0, 1, 1, 1] [0, 1, 2, 1, 1] Edge cases are

[sage-support] error while bulid

Error building Sage. The following package(s) may have failed to build (not necessarily during this run of 'make all-start'): * package: ecl-21.2.1 last build time: 1月 4 23:14 log file: /home/yhmlivefo/文档/sage10/sage-10.2/logs/pkgs/ecl-21.2.1.log build directory:

Re: [sage-support] Re: Sage seems to incorrectly evaluate fractional powers of complexes

On 4 January 2024 12:15:07 WET, Emmanuel Charpentier wrote: > > >Indeed : >(%i29) domain:complex; (%o29) complex (%i30) Sol1C:solve(Sys1, Unks); >(%o30) [[x = 8,y = -40/3,l = (2*25^(1/3))/(3*9^(1/3))]] (%i31) >Sol2C:solve(Sys2, Unks); (%o31) [] (%i32) map(lambda([w], map(lambda([v],

Re: [sage-support] Re: Sage seems to incorrectly evaluate fractional powers of complexes

On Thu, 4 Jan 2024 at 12:15, Emmanuel Charpentier wrote: > > But this does not explain whiy Sage is uneble o check (numericalmlmy or > otherwise) the solutions given by Sympy or Mathematica, which check in Sympy > (I didn’t yet try to check them in Mathematica, the limitations of the > current

[sage-support] Re: Sage seems to incorrectly evaluate fractional powers of complexes

Indeed : (%i29) domain:complex; (%o29) complex (%i30) Sol1C:solve(Sys1, Unks); (%o30) [[x = 8,y = -40/3,l = (2*25^(1/3))/(3*9^(1/3))]] (%i31) Sol2C:solve(Sys2, Unks); (%o31) [] (%i32) map(lambda([w], map(lambda([v], subst(w, v)), map(lambda([u], ratsimp(lhs(u)-rhs(u))), Sys1))), Sol1C);

[sage-support] Re: Sage seems to incorrectly evaluate fractional powers of complexes

You can get the same errors from pure Maxima if you set domain to "complex", no? On Thursday, January 4, 2024 at 10:29:56 AM UTC Emmanuel Charpentier wrote: > The problem seems Sage-specific : the same systems solve correctly (up to > numerical noise) in “pure” Maxima : > ;;; Loading

[sage-support] Re: Sage seems to incorrectly evaluate fractional powers of complexes

The problem seems Sage-specific : the same systems solve correctly (up to numerical noise) in “pure” Maxima : ;;; Loading #P"/usr/lib/x86_64-linux-gnu/ecl-21.2.1/sb-bsd-sockets.fas" ;;; Loading #P"/usr/lib/x86_64-linux-gnu/ecl-21.2.1/sockets.fas" Maxima 5.46.0 https://maxima.sourceforge.io

[sage-support] Re: limitations of "solve"?

These systems and Sage’s “solutions” exhibit some *serious* problems. See there … ​ Le mardi 2 janvier 2024 à 12:30:14 UTC+1, Emmanuel Charpentier a écrit : > FWIW, a working workaround this interesting Maxima quirk (bug ?) is to use >

[sage-support] Re: limitations of "solve"?

These systems and Sage's "solutions" exhibit some *serious* problems. See [there](https://groups.google.com/g/sage-support/c/gGssS_15jxE)... Le mardi 2 janvier 2024 à 12:30:14 UTC+1, Emmanuel Charpentier a écrit : > FWIW, a working workaround this interesting Maxima quirk (bug ?) is to use >

[sage-support] Sage seems to incorrectly evaluate fractional powers of complexes

Motivation : see [this post], which shows a case where Sage fails to find the roots of a three equations system. I signalled in this thread that Sympy was able to find these roots. But I stumbled on a difficulty checking these solutions. Set up the systems : # Pretext :