tsunamiBTP

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16 years, 327 days

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These are questions asked by tsunamiBTP

I have been attempting to resolve a particular problem to which I have posted a number of questions in the past.  In my attempts I have stumbled onto a number of command syntax issues & inconsistent result outputs.  Each time I try to post questions that appear to me to be separate questions even though it pertains to the same problem.  On numerous occasions a website moderator has deleted my questions unilaterally because the moderator has the opinion the question is identical to a previous question.

Deleting my questions instead of placing them into a previous thread without a response impedes my progress.  I am going to repost this inconsistent output, ONCE again!  If it is directly related to another thread then notify me of the response somehow instead of simply deleting the question.

The following inconsistency as far as I can tell is not explained in any of my previous questions.  I have a series that represents a particular waveform.  The series representation gives a definitive output.  However, when attempting generate the series of the derivative of this waveform (Q3 & Q4), which does exist (Q1 & Q2), MAPLE chokes on that representation & simply continues to evaluate for days & weeks without generating an output.  Why is this?  If anyone gets a definitive result please post it so that I might be able to reproduce the results.

Thanks in advance.

inconsistent_results.mw

I posted this earlier on a question I asked more than a month ago due to the similarity of the problem.  However, I got no response.  So I will post this as a new question in an effort to get a response.

I get the following error when working with the "INERT" Sum?

Warning, solutions may have been lost

I do not get the message when working with the "ACTIVE" sum.  I tried the AllSolutions option, but still get the same message.  How can I get the proper output working with the "INERT" form?

lost_solutions.mw

I would like to convert a symbolic expression to text commands.  I recently used the expression palette to create a series summation; however, I was confused whether the sigma represented Sum vs sum.  I attempted to convert to string, but MAPLE attempts to evaluate the symbolic series prior to outputting the text commands.  Unfortunately, the evaluation of the series is computationally expensive & MAPLE will run out of memory.  I do not need MAPLE to evaluate the series.  How can it simply spell out the text commands that represent the symbolic form without resorting to evaluating the expression?


 

restart; T := M*tau; w := N*tau; M := Kappa*N; Ck := -2*(T*(4*tau^2*k^2*Pi^2*(4*tau-w)-w*T^2)*exp(-(1/2)*w/tau)*sin(w*Pi*k/T)+2*Pi*k*tau*(4*tau^2*k^2*Pi^2*(2*tau-w)-T^2*(2*tau+w))*exp(-(1/2)*w/tau)*cos(w*Pi*k/T)+4*Pi*k*tau^2*(T^2-(2*Pi*k*tau)^2))/(T^2+(2*Pi*k*tau)^2)^2

-2*(Kappa*N*tau*(4*tau^2*k^2*Pi^2*(4*tau-N*tau)-N^3*tau^3*Kappa^2)*exp(-(1/2)*N)*sin(Pi*k/Kappa)+2*Pi*k*tau*(4*tau^2*k^2*Pi^2*(2*tau-N*tau)-Kappa^2*N^2*tau^2*(2*tau+N*tau))*exp(-(1/2)*N)*cos(Pi*k/Kappa)+4*Pi*k*tau^2*(Kappa^2*N^2*tau^2-4*Pi^2*k^2*tau^2))/(Kappa^2*N^2*tau^2+4*Pi^2*k^2*tau^2)^2

(1)

sum(Ck*sin(2*Pi*k*x/T), k = 1 .. m)

``

``


 

Download convert_to_text_command.mw

I believe I am having memory issues which is causing the MAPLE kernal to terminate.  If I assign m a value then it seems to work, but I would like to leave m unassigned so that S1 can later be evaluated for any arbitrary m.  Is there a way around this?


 

T := M*tau;

`assuming`([simplify(expand(combine(S1)))], [m::integer])

``


 

Download MAPLE_crashing.mw

Below is my attempt to distinguish between add vs sum commands.  In principle, the sum command is symbolic.  I attempt the comparison in general, but get an error for the add command.  This error appears to occur if I do not assign numeric values to the general variables in the function.  I would like to execute the comparison symbolically.  Can this be done or does add only execute numerical evaluations?

Download sum_vs_add.mw

sum_vs_add.mw

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