Re: Solve Equation Symbolically

roberson@xxxxxxxxxxxxxxxxxx (Walter Roberson) wrote in
message <fhaiam$k8$1@xxxxxxxxxxxxxxxxxxxxxxx>...
In article <fhag57$bca$1@xxxxxxxxxxxxxxxxxx>,
evan klinger <eklinger1-nospam@xxxxxxx> wrote:
Is there a way to increase the 25,000 character limit? I
really need to solve up to cv12, I just used up to cv3 to
demonstrate what I'm trying to do. However, using
solve(collect(expand(cv12))) returns an error:

??? Error using ==> solve at 162
Unable to find closed form solution.

It isn't any 25000 character limit that is getting you:
you are trying to find the closed form solution to a
polynomial
of order 12 that does not happen to be factorable down
to polynomials of degree 5 or less (degree 5 is the maximum
for which closed form polynomial solutions always exist.)

Using Maple directly, there is simply no closed form solution
available for cv12. Beyond cv3, even where the closed form
solutions exist in principle, Maple will just show a
generalized
placeholder instead (closed form quadratics and quintics are
pretty messy at the best of times.)
--
"Is there any thing whereof it may be said, See, this is
new? It hath
been already of old time, which was before us." --
Ecclesiastes

So what are my options here? I would like a closed form
solution so that I can plug in values into the variables
directly and solve, but if that's not possible, is there any
alternative?

Thank you for all your help so far
.

Relevant Pages

  • Re: Solve Equation Symbolically
    ... Unable to find closed form solution. ... available for cv12. ... Beyond cv3, ...
    (comp.soft-sys.matlab)
  • Re: Solve Equation Symbolically
    ... Is there a way to increase the 25,000 character limit? ... really need to solve up to cv12, I just used up to cv3 to ... Unable to find closed form solution. ...
    (comp.soft-sys.matlab)
  • Re: Does a solution exist?
    ... closed form solution of x = cosreally exist, ... Define the greek letter tau to equal the smallest positive ... and trig & inverse trig functions, they have closed form ...
    (sci.math)
  • Re: Does a solution exist?
    ... A thread here called "Bug in Mathematica 6" made me wonder: ... closed form solution of x = cosreally exist, ... Objection -- to discuss closed form legitimately, ... all admissible operation symbols, function symbols, and special ...
    (sci.math)
  • Re: Does a solution exist?
    ... closed form solution of x = cosreally exist, ... of any sort of "familiar" functions? ... Objection -- to discuss closed form legitimately, ... See my response to the post you just responded to. ...
    (sci.math)