Axel Vogt

5771 Reputation

20 Badges

19 years, 15 days
Munich, Bavaria, Germany

MaplePrimes Activity

These are replies submitted by Axel Vogt


The following might do what you are looking for (in charactaristic 0):

Let be sym(p) = Sum( pi(p), pi in symmetric group S_n) / n! the symmetrization of the polynomial in the n variables.

Then p = sym(p) + ( p - sym(p) ) = symmetric part + remainder

Here pi(p)(x1, ..., xn) = p( pi(x(pi(1)))), ..., pi(x(pi(n)))) ), i.e. the polynomial using permuted variables.

do you mean something like this?

pochhammer(1/2,n): eval(%, pochhammer=nicepo);

where I would not use it anyway ...

@mmcdara I do not mind at all ...

The following gives a formal solution. "RootOf" is difficult for newbies, just read it as
"all the roots of ...", it is about a polynom of degree 5, so no explicit formal solution
is known to Maple.

subs(int= Int, N):         # do not use lowercase here
subs([p=2, Zeta=1/6,M = 1, m = 1, kappa=1], %): # data
subs(varphi = phi, %):     # I dislike "varphi"
theIntegrand:=op(1, %);

simplify(theIntegrand): map(factor, %);
Int(%, phi): value(%);

For a numerical answer you need to feed upper and lower bound as numerical value, at least.

For a symbolical answer Maple needs informations to compare singularities of the integrand and integration bounds - though it will find the anti-derivative

Edit: I just see  mmcdara's answer ...


So you want a minimum or a zero of the function f:= b -> H(alpha,b) - G(alpha,b)

What is H, what is G and what are the allowed ranges?

@Hullzie16 what do you want to show in the final plot of your sheet? How would you write it if having a procedure F(alpha,b)?

For me your question is unclear. Could you post or upload some coded example?

@sursumCorda It works now (strange ...) and needs ~ 5 minutes

I was not aware of that component. After 1/2 hour I cancelled the execution.

Anyway I think it would be better to understand what vv is actually doing in

for me it works ...

@Jesús Guillera what is the reason for these questions and why p^3, p = prime ?

I have doubts that one can install Maple on 2 machines with the same license number and hope it works properly. It is still not clear what you did.

You may give the source for your code and - if possible - the expected result.

note that the last step in the loop has s_k=1 and that H(x, t, 1, u) = - u.
Hence the last update for u_approx results in 0.

Yes, trial-and-error, points away from (0,0) but close to singularities

[37.6324, -0.356503], [-39.4716, 0.365055], to be refined with Digits=50 ...

1 2 3 4 5 6 7 Last Page 1 of 205