Axel Vogt

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20 years, 258 days
Munich, Bavaria, Germany

MaplePrimes Activity


These are replies submitted by Axel Vogt

Could I have the result as ASCII, please (have not installed the package)?

I *guess* the initial guess comes from comparing model, data and their shape
(that is how I would try):

For x=0 there is a guess for 'a' ~ X[1] (and a brute guess would be to divide
and apply arccosh, but that becomes complicated, as it does not cancel).

If data are no longer increasing, there must be decreasing input for the cosh
and that can only be by d*x^e, x ~ 1.2 and similar for increasing in x ~ 1.5
and may be, that gives an initial guess for d and e - may be by trial and error.

Now one needs some for the remaining b and c, they stand for something like
speeding up the situation and the choice as integers suggest that may have
been done trying some values (and pondering, why the situation stays quite
'flat' at 0).

But the Maitre will tell himself ...

So only 1 personal remark: as a rule-of-thumb I would like to have 4 - 6 data
points per parameter at least, thus would never have tried to solve your task
(may be, that's why there are many local solutions), you have only 3 data/param


Could I have the result as ASCII, please (have not installed the package)?

I *guess* the initial guess comes from comparing model, data and their shape
(that is how I would try):

For x=0 there is a guess for 'a' ~ X[1] (and a brute guess would be to divide
and apply arccosh, but that becomes complicated, as it does not cancel).

If data are no longer increasing, there must be decreasing input for the cosh
and that can only be by d*x^e, x ~ 1.2 and similar for increasing in x ~ 1.5
and may be, that gives an initial guess for d and e - may be by trial and error.

Now one needs some for the remaining b and c, they stand for something like
speeding up the situation and the choice as integers suggest that may have
been done trying some values (and pondering, why the situation stays quite
'flat' at 0).

But the Maitre will tell himself ...

So only 1 personal remark: as a rule-of-thumb I would like to have 4 - 6 data
points per parameter at least, thus would never have tried to solve your task
(may be, that's why there are many local solutions), you have only 3 data/param


and it is urgent and really not homework, yes ?

and you have already learned to say that in Maple's syntax,
of course ... and just want to avoid it, no ?

what is your handmade solution? and what you have done
so far in Maple?

additionally (since acer was faster ... ) I think it is a scaling problem:

sqrt(x)*2E-5 lives between 3 and 28 and tan has a lot of poles in
that range, reaching +- infinity

guess you have to restrict your search close to that poles, for each

additionally (since acer was faster ... ) I think it is a scaling problem:

sqrt(x)*2E-5 lives between 3 and 28 and tan has a lot of poles in
that range, reaching +- infinity

guess you have to restrict your search close to that poles, for each

I have not cared for such over a long time, but the problem is
to choose a 'bandwidth' to collect data into bins and that is not
independend from the supposed pdf (i.e. the one shown in the
Wiki for the Gaussian may be not a good choice in other cases).
Have no helpfull reference though ...

I have not cared for such over a long time, but the problem is
to choose a 'bandwidth' to collect data into bins and that is not
independend from the supposed pdf (i.e. the one shown in the
Wiki for the Gaussian may be not a good choice in other cases).
Have no helpfull reference though ...

In "good old times" somebody cared to sample such FAQ,
actually Maple should do such, since neither that board has
a sufficient search functionality nor does it regard the former
Newsgroups.

It was http://jonas.math.rwth-aachen.de/MapleAnswers/
though it seems no longer to exits.

To give some impression one has to ask the endless memory
of the web (just to give an impression):

http://web.archive.org/web/20040618033739/http://jonas.math.rwth-aachen.de/MapleAnswers/

I guess you mean an Array of Arrays, yes?

You should upload a reduced example as worksheet.

I guess he is on Windows, where ctrl + V is to paste (what was copied before)
and he hopes, that it will be parsed and pasted as a (valid) Maple expression.

taking the limit works (cancelling out the problem?):

M:=value(sol);
limit(M, n=0);
  R(r) = (1/544)*(544*_C2*r^2+544*_C1+544*_C3*r^4+544*_C4*r^2+
18*r^4-19*r^2+6*r)/r
limit(M, n=2);
  R(r) = (1/544)*(544*_C3*r^2-6*r^10-15*r^8+544*_C1*r^2-168*r+
90*r^2+544*_C4*r^4-60*r^6+544*_C2)/r

taking the limit works (cancelling out the problem?):

M:=value(sol);
limit(M, n=0);
  R(r) = (1/544)*(544*_C2*r^2+544*_C1+544*_C3*r^4+544*_C4*r^2+
18*r^4-19*r^2+6*r)/r
limit(M, n=2);
  R(r) = (1/544)*(544*_C3*r^2-6*r^10-15*r^8+544*_C1*r^2-168*r+
90*r^2+544*_C4*r^4-60*r^6+544*_C2)/r

I like Christopher's solution and find it sad that the originally link
only provides non-English solutions.

But I am sure there are 'free' solutions as well since longer time,

http://en.wikipedia.org/wiki/Converting_scanned_graphs_to_data

http://www.google.de/search?q=%22open+source%22+ocr+graph+digitizing

Thank you :-)
Using sequences L:=NULL, then L:=L,tmp and finally calling {L} should do it
for older Maple versions as well, you may try it for x^11 + y^11 + z^11 = 11.
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