In some case there ist no Result in v(fourier) and a(fourier) diagram but this message:


need some Help please.
Thanks Thomas

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need some Help please.
Thanks Thomas

The function is needed for inspection.
Cheers ... Jean

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The function is needed for inspection.

That shape or very similar was fitted in Mathcad 11,
fitted linfitCheby order 99, not possible Smath ... order 99 too big.
It may be why you can't plot derivative, i.e: your Fourier too high order.

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It may be why you can't plot derivative, i.e: your Fourier too high order.

Wrong reply ... explain:
The Smath derivative operator is essentially the same from your Calculus book.
Fourier is the sum of trig sin/cos Σ that at some point derivative operator
does not recognize w/o complaining.
What you can do from your clean looking plot, discretize the function,
next => plot the FD derivative [FD = Finite differences].
Attach the function, I will finish for the derivative.
Cheers ... Jean

... this one plots the Fourier derivative.

Fourier Budapest39 Smoothing DERIVATIVE.sm (40 KiB) downloaded 27 time(s).

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The function is needed for inspection.
Cheers ... Jean

@ Thomas Stampa,
The above is Jean speak for "please upload your working file". Forum members are guessing without seeing your work.

... refreshed & augmented.
Derivative symbolic expansion of that little peanut is huge.
Bigger ones will have a long journey across Canada !
Budapest B39 is courtesy from Theodore [85 +] around 2004
You may have to discretize your function, proceed similarly ?
Cheers ... Jean

Fourier Budapest39 Smoothing DERIVATIVE.sm (58 KiB) downloaded 26 time(s).

Hallo everyone...

the script works in Version build:7030 and doesnt works in the latest build 7610. see the different screenshots here.

The Smath-script is attached.... Maybe there ist a lot for optimising...
I´m very thankfull for further tips..

Greatings Thomas sorry for this bad english.... it isn´t as good as I want.... File not found.File not found.File not found.

thank You very much for comments......

@ Jean Giraud super... Budapest39 is a great idea. I will try to use this way....

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@ Jean Giraudsuper... Budapest39 is a great idea.I will try to use this way....

Sorry Thomas: your document is empty "wrong format".
That damned bug hits again ... for how long ?
That wrong format is random since SS 7610.
Try simplify the name of the document.
Maybe some Collab will transit otherwise ?
Cheers ... Jean

eventuelly this:

saved with SS7030


Dynamics.sm (409 KiB) downloaded 27 time(s).

Check and cross check your formulas and how you defined the equations (e.g. "[" for a matrix). At the moment, if I define x:0,0.1...1, the result for V.fourier(x) says that the "result is above the max allowed positive number"

In addition, W.fourier cannot be calculated, but the graph is visible

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eventually this:
saved with SS7030

No luck ... AV at the upload time were suspected.
A decent size *.PDF, I volunteer to recreate.
Cheers ... Jean

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.... Maybe there ist a lot for optimising...

I guess not. Your worksheet seems to have all ok, and because of that I try to just take the derivative for a "simple" univariate function evaluating symbolically w.fourier, and copy and paste the result. The error in the derivative remains. So, the issue it's related with the numeric procedure in the SMath derivative, but not with your work and you haven't too much to optimize in your code. As workaround you can use your own numeric derivative.

w.fourier.sm (30 KiB) downloaded 30 time(s).

I don't know if this is useful in your work, but this procedure is well know for mathcad for extend a function over a period:

periodic.sm (9 KiB) downloaded 31 time(s).

The use of mod or floor is only for numerics, but for symbolics you can use the heaviside function, which actually SMath haven't.

Best regards.
Alvaro.

1. I toke Alvaro Monster Big function
2. freaked a bit and discretized a portion,
3. proceeded B39 for continuous construction sanity check,
4. cinterp(X,Y,x) as it is continuous up to 2nd order derivative,
5. applied the infinitesimal derivative ... just perfect.
Cheers ... Jean

Fourier Budapest39 MonsterBig.sm (65 KiB) downloaded 26 time(s).

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.... Maybe there ist a lot for optimising...

I guess not. ...

Well, if that's true, you only need to simplify two univariate functions, the speed v and the acceleration a. For v maple() it's enough, for a needs an explicit simplify command.



LF_Aufschaukeln_4_Pers_Personenanregung_Fluchttreppe_allg__optional_getilgt.sm (408 KiB) downloaded 31 time(s).

Best regards.
Alvaro.

Dear Jean
Dear Alvaro,

I´m very impressed abut your quckliy help....

My problem is solved and I learned a lot . Thanks!!!

Best regards , Thomas