On Tuesday, April 15, 2014 9:58:51 PM UTC-7, jorges wrote:
>
> On Wednesday, 16 April 2014 01:24:25 UTC-3, John H Palmieri wrote:
>>
>> I'm guessing that the issue is that your integrand simplifies when q=1 -- 
>> at least one term becomes zero -- but you do the integral before doing this 
>> simplification. Maybe the symbolic integration is not valid when q=1. If 
>> you plug in the parameters before integrating, you get something very 
>> different from Sage. Adding these two lines
>>
>> qs=integral(((TVcoff(t))^2/moff).subs(**params),t, d*pi/omega, 
>> 2*pi/omega) # substitute before integrating
>> Nqs = qs.subs(**params).n()
>>
>> gives me something close to Maple's answer:
>>
>> sage: Nps
>> 1057.74513808638 + 3.42074504083530*I
>> sage: Nqs
>> 0.0164729319512844 + 5.58793544769287e-9*I
>>
>> Indeed, that looks good. I still don't understand what you mean by "the 
> symbolic integration is not valid when q=1". I would think substituting 
> before or after should not make a difference. 
>

It's possible, for example, that when doing the integration, it divides by 
q-1 to "simplify" some algebra. Maybe it does something else which turns 
out not to be valid when q=1. This is all just a guess, anyway.

  John


Also, I remember that I attempted to simplify before integrating before, 
> mainly to speed up calculations, but had some bad experience with real 
> numbers and maxima. I can't recall the precise details right now, but after 
> that I "learned" to defer substitution to the very end. That is until now. 
> I love SAGE, but these things, i.e. having to know special cases and how to 
> handle them, make using it much more difficult, especially for a non-power 
> user as me.
> Thanks for pointing out how to avoid this issue.
>
> Jorge
>

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