for k=1 the inverse is not a function, see above ... I think there is no name for it (as already said)

may be you can use Langrange inversion in t=Pi or Pi/2 to write down a series

With infolevel = 2 you see, that evalf@int with the floating bound enters NAG
(acer's 1st example shows it 'as a rule'), trying d01ajc. 

That fails, Maple 'knows' that a singularity is apparent and that the integrand
is oscillating. But it fails to switch to that NAG method. Manual input works:

  Int(f(x),x=evalf(a)..2/Pi, method = _d01akc); evalf(%);

                             1.305614389

which coincides with the result of the commands

  Int(f(x),x=a..2/Pi); value(%); evalf(%);

Related: Comparing various evaluations for Int(x^k*exp(w*x*I),x = -1 .. 1) 

                           1
                          /
                         |    k
                         |   x  exp(w x I) dx
                         |
                        /
                          -1

with k = 5 and w = 1/1000 (Digits = 14, Maple 12 on WinXP) one can produce
quite different results

               |                 0.                  |
               |                                     |
               |60.659969670003 - 0.060659989890001 I|
               |                                     |
               |        0.00028571424867725 I        |
               |                                     |
               | 39.999976666669 - 10000.044999992 I |
               |                                     |
               |          2539.6828253968 I          |
               |                                     |
               |         -7999.9992000000 I          |


Plotting the integral let it look quite innocent ...

Those trigonometric integrals are known to be difficult for Numerics, it
really makes a difference how one uses Maple for them (ok, using very high
precision may give something better ...).

I would bet this is not restricted to Maple, but can be reproduced in MMA
as well (if one can compare possible different use of precision).

Fateman & Kahan "Improving exact integrals from CAS" also may give some more
insight for the question adressed by acer.


The worksheet (with 11 different ways) is appended:

www.mapleprimes.com/files/102_cancellation_problems_with_fourier_moments_MP.mws
www.mapleprimes.com/files/102_cancellation_problems_with_fourier_moments_MP.pdf

Using S for the Sum I get subs(j=1,i=1,mu=-1,S); value(%); 

             -3

Using S for the Sum I get subs(j=1,i=1,mu=-1,S); value(%); 

             -3

standard interface is much more clear, just try it there and if you have the need for 'beautified' things use the other one later

standard interface is much more clear, just try it there and if you have the need for 'beautified' things use the other one later

Edwin, I can't help for "Standard", sorry, since I avoid it.

But forgot to say in the above: I paste to Word not simply using <ctrl>+V, but though the menu "paste as ... unformatted text" (which is the same as pasting to [older?] Notepad) to get rid of any formats (may be it works for XML stuff as well?).

Edwin, I can't help for "Standard", sorry, since I avoid it.

But forgot to say in the above: I paste to Word not simply using <ctrl>+V, but though the menu "paste as ... unformatted text" (which is the same as pasting to [older?] Notepad) to get rid of any formats (may be it works for XML stuff as well?).

IIRC from talks with our guys a modern server park monitors itself, especially for 7/24 service and if the main check routines fail, the systems automatically sends some SMS, to be received by the admin idle for on call. On call support certainly can be outsourced, since action is needed only in rare cases (most have a cascading system to level support, depending on the error class, described in SLAs). May be, that 1st level support is even offered by the provider. A monetary problem, I guess. The overall problem is: you can not scale human resources for small installations. And a specialist shop will handle it through volume.

'small company' ... I think it was because of figures somebody posted at the symbolic group, for which I had doubts ...

edited: concerning alec's/Robert's suggestion it is easy to implement a system sending SMS if an email arrives

unfortunately not for me (Win + Firefox) ... at least additional 'code text' should be posted

unfortunately not for me (Win + Firefox) ... at least additional 'code text' should be posted

Alec,

Prices for involvements are awarded in April and May ... and hope your contributions will continue dispite your "seniority"

Axel

1. Do you have a similar suggestion, if calling an external DLL (which does not know of Maple)?

2. If I want to interrupt Maple execution for conventional code within a classical sheet on Win there is often no reaction even after long waiting (so I shut down the task)

Hope you do not mind ... the needed formula through the above posts is:

  Y := (x/2)^(2/3):
  VectorCalculus:-ArcLength(<x,Y>, x=u..v);
  len:=subs( u=0,v=2, %);

Now Maple has a peculiarity: it often does not use assumptions on
integration variables, which are obvious - and seems not to try
substitutions, which seem 'natural' for us (and are allowed here):

  simplify(len) assuming (0 < x, x <2); # of course 
  Change(%, x=xi^3,xi);                 # staring at the result: we have positives, so transform
  simplify(%) assuming 0 < xi;          # sure, give it a try ...
  value(%);                             # do it!
  simplify(%);                          # done

                                1/2
                           20 10
                           -------- - 2/27
                              27

Anyway: Robert Israel's answer is a fine and more general idea, I like it :-)