Hello,
Is there any curve fitting function in Smath?
I mean using the defined points to find the function of these points!
Thanks a lot!

Wrote

... for best examination: close Smath ... open a virgin session.
This way, as you will download, both will be resident in same session.
Open include to inspect the content, close back.
Open Test UpDated ... F9 to run
Test Updated contents 5 stand alone fit examples.
If it does not work wrt your Smath version ... bug.
Try it ... report ... Jean

Genfit Algo Include.sm (36,12 KiB) scaricato 1364 volta(e).
Genfit Algo Include Test UpDated.sm (145,48 KiB) scaricato 1344 volta(e).

Hi Jean,
Thanks for your reply!
I tired the .sm file, but it doesn't work well. Meanwhile, the Genfit Algo Include.sm needs rename as GenfitAlgoInclude.sm.

I put the two .sm files in the same location, then I opened the Test Updated.sm, and pressed F9 to run....the error is shown in the picture.
The information of my Smath is Version 0.99
Looking forward to your feedback, thanks!

[attach]42964

Hello

Maybe you can deal with Least Squares Fit

Define_a_Variable_Ajust_by_Last_Square.sm (58,17 KiB) scaricato 1455 volta(e).

Ajust_by_Last_Square_Selection.sm (54,44 KiB) scaricato 1331 volta(e).

Best Regards

Carlos

Wrote

I mean using the defined points to find the function of these points!

Answer is YES
I don't know an embedded function for this.
But you can write your own function.
Lagrange Interpolation Method can be used.
maple() command is not necessary but it simplifies the function.
Giving more points, curve gets more complex.
Here is some examples for your request.

Regards

lagrange.sm (26,56 KiB) scaricato 1322 volta(e).

Wrote

Hello

Maybe you can deal with Least Squares Fit

Define_a_Variable_Ajust_by_Last_Square.sm (58,17 KiB) scaricato 1455 volta(e).

Ajust_by_Last_Square_Selection.sm (54,44 KiB) scaricato 1331 volta(e).

Best Regards

Carlos

Hi Carlos,

This works really fine, thanks for sharing this!

Wrote

Answer is YES
I don't know an embedded function for this.
But you can write your own function.
Lagrange Interpolation Method can be used.
maple() command is not necessary but it simplifies the function.
Giving more points, curve gets more complex.
Here is some examples for your request.

Regards

lagrange.sm (26,56 KiB) scaricato 1322 volta(e).

Hi, thanks for sharing this, I will try to learn your file!

Wrote

Hello,
Is there any curve fitting function in Smath?
I mean using the defined points to find the function of these points!
Thanks a lot!

Maxima plugin has the Fit() function, see this post

In the interactive handbook, you find it in the Function Index page.

Hi. Some fitting curves functions in the attached.

fit.pdf (527,19 KiB) scaricato 983 volta(e).
fit.sm (377,47 KiB) scaricato 1374 volta(e).

Best regards.
Alvaro.

Wrote

Hi, thanks for sharing this, I will try to learn your file!

You are welcome.
My function is direct method, may not be suitable for large data sets.
Razonar's and mkraska's samples are good to investigate too for that purpose.

Regards

Hi ovlerlord.

Wrote

Answer is YES

Yes, it is YES.

Wrote

Lagrange Interpolation Method can be used.
maple() command is not necessary but it simplifies the function.

This version of your application doesn't need maple for get the simplified lagrange polynom.

lagrange.sm (22,88 KiB) scaricato 1324 volta(e).

Best regards.
Alvaro.

Wrote

Wrote

Hi Jean,
Thanks for your reply!

Please, attach your raw data set., i.e: not freaked by else.
Two more examples attached.

Genfit Frechet DIFFICULT.sm (128,06 KiB) scaricato 1309 volta(e).
Genfit Kirby_2 [Reduced] Copy.sm (81,39 KiB) scaricato 1138 volta(e).

A fitting session is mostly governed by the model and techniques.
In short: sky is the limit. Some data set can only be fitted by hand.
Plenty are willing in Smath Community.
Take care ... Jean

File non trovato.File non trovato.

Hi Jean,

see the stress-strain data, I would say I am really happy about this forum. I got a lot of fit function information from here! Thanks all!

Wrote

File non trovato.File non trovato.

Hi. Three fitting models for your data.

fit_stress_strain.sm (523,68 KiB) scaricato 1354 volta(e).
fit_stress_strain.pdf (635,91 KiB) scaricato 946 volta(e).

Best regards.
Alvaro.

Wrote

Wrote

File non trovato.File non trovato.

Hi. Three fitting models for your data.

fit_stress_strain.sm (523,68 KiB) scaricato 1354 volta(e).
fit_stress_strain.pdf (635,91 KiB) scaricato 946 volta(e).

Best regards.
Alvaro.

Wow, it's amazing!
Thanks Alvaro!

Wrote

Hi Jean,
Thanks for your reply!
I tried the .sm file, but it doesn't work well.

You have detected a bug wrt your SS version, maybe earlier ones ?
Silent Smath Community ?
If you open the governing Conjugate Gradient ... it could be
the symbolic module has not been saved Symbolic, a common bug reported.
By same token, I will delete all previous attachments.
Please, don't hesitate ... Take care ... Jean.
I guess your original raw data is the one from Alvaro ?