Curve fitting function

Curve fitting function - Is there a curve fitting function in Smath? - Сообщения

#1 Опубликовано: 13.01.2022 07:38:26
rex

rex

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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!
#2 Опубликовано: 14.01.2022 00:00:26
rex

rex

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... 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 КиБ) скачан 46 раз(а).
Genfit Algo Include Test UpDated.sm (145 КиБ) скачан 45 раз(а).



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, tSmath_error.pnghen 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
#3 Опубликовано: 14.01.2022 00:53:11
CBG

CBG

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Hello

Maybe you can deal with Least Squares Fit

Define_a_Variable_Ajust_by_Last_Square.sm (58 КиБ) скачан 76 раз(а).

Ajust_by_Last_Square_Selection.sm (54 КиБ) скачан 47 раз(а).

Best Regards

Carlos
#4 Опубликовано: 14.01.2022 02:04:40
overlord

overlord

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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 КиБ) скачан 51 раз(а).

Click to enlarge

Click to enlarge

Click to enlarge

Click to enlarge
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sergio 14.01.2022 06:15:00, Alvaro Diaz Falconi 14.01.2022 16:19:00
#5 Опубликовано: 14.01.2022 02:55:13
rex

rex

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Hello

Maybe you can deal with Least Squares Fit

Define_a_Variable_Ajust_by_Last_Square.sm (58 КиБ) скачан 76 раз(а).

Ajust_by_Last_Square_Selection.sm (54 КиБ) скачан 47 раз(а).

Best Regards

Carlos



Hi Carlos,

This works really fine, thanks for sharing this!
#6 Опубликовано: 14.01.2022 02:57:10
rex

rex

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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 КиБ) скачан 51 раз(а).

Click to enlarge

Click to enlarge

Click to enlarge

Click to enlarge



Hi, thanks for sharing this, I will try to learn your file!
#7 Опубликовано: 14.01.2022 05:36:56
Martin Kraska

Martin Kraska

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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.


2022-01-14 09_32_53-Reference book.png
Martin Kraska Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
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sergio 14.01.2022 06:15:00
#8 Опубликовано: 14.01.2022 06:56:58
Alvaro Diaz Falconi

Alvaro Diaz Falconi

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Hi. Some fitting curves functions in the attached.

fit.pdf (527 КиБ) скачан 78 раз(а).
fit.sm (377 КиБ) скачан 63 раз(а).

Best regards.
Alvaro.
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NDTM Amarasekera 14.01.2022 11:23:00, sergio 14.01.2022 07:23:00, Fridel Selitsky 14.01.2022 07:26:00
#9 Опубликовано: 14.01.2022 10:56:33
overlord

overlord

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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
#10 Опубликовано: 14.01.2022 16:25:17
Alvaro Diaz Falconi

Alvaro Diaz Falconi

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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 КиБ) скачан 45 раз(а).

Best regards.
Alvaro.
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overlord 14.01.2022 17:46:00
#11 Опубликовано: 17.01.2022 00:15:21
rex

rex

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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 КиБ) скачан 24 раз(а).
Genfit Kirby_2 [Reduced] Copy.sm (81 КиБ) скачан 26 раз(а).

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



Файл не найден.Файл не найден.

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!
#12 Опубликовано: 17.01.2022 04:55:01
Alvaro Diaz Falconi

Alvaro Diaz Falconi

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Файл не найден.Файл не найден.



Hi. Three fitting models for your data.

fit_stress_strain.sm (523 КиБ) скачан 62 раз(а).
fit_stress_strain.pdf (635 КиБ) скачан 60 раз(а).

Best regards.
Alvaro.
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Fridel Selitsky 17.01.2022 05:00:00
#13 Опубликовано: 17.01.2022 05:58:00
rex

rex

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Wrote



Файл не найден.Файл не найден.



Hi. Three fitting models for your data.

fit_stress_strain.sm (523 КиБ) скачан 62 раз(а).
fit_stress_strain.pdf (635 КиБ) скачан 60 раз(а).

Best regards.
Alvaro.



Wow, it's amazing!
Thanks Alvaro!
#14 Опубликовано: 26.01.2022 18:21:34
Jean Giraud

Jean Giraud

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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 ?
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