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Offline Ale16595  
#1 Posted : 04 December 2019 21:08:53(UTC)
Ale16595


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Hello everyone!
I have difficulty plotting the function c which depends on the derivatives of two functions which in turn depend on the parameter t.
Could anyone help me? This in the smath file.. curvatura.sm (12kb) downloaded 13 time(s).
Thank you so much
sggs.png

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Offline oscampo  
#2 Posted : 04 December 2019 23:37:09(UTC)
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Originally Posted by: Ale16595 Go to Quoted Post
Hello everyone!
I have difficulty plotting the function c which depends on the derivatives of two functions which in turn depend on the parameter t...


Maybe this is what you want...

Captura.PNG

... and the .sm file: curvatura1.sm (10kb) downloaded 17 time(s).

Offline Jean Giraud  
#3 Posted : 05 December 2019 00:19:46(UTC)
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Originally Posted by: Ale16595 Go to Quoted Post
Could anyone help me ?

To plot both systems ... Jean

curvatura.sm (12kb) downloaded 33 time(s).
Maths Tangent.sm (92kb) downloaded 33 time(s).

Offline Ale16595  
#4 Posted : 05 December 2019 14:37:36(UTC)
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thank you very much for your help, I hope I have no more problems
Offline oscampo  
#5 Posted : 05 December 2019 17:20:31(UTC)
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Originally Posted by: Ale16595 Go to Quoted Post
thank you very much for your help, I hope I have no more problems


You´re welcome.
It's okay to ask, because you express the need to know. It is better to ask than keep silence


Offline Ale16595  
#6 Posted : 06 December 2019 15:21:28(UTC)
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Thank you very much for the availability.
But I need more help.
How can I draw the tangent line to the equation in parametric form?
this is the file … curvatura2.sm (13kb) downloaded 17 time(s).
Offline Razonar  
#7 Posted : 06 December 2019 18:48:15(UTC)
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Hi Ale. Here, some ways.

curvatura3.sm (26kb) downloaded 17 time(s).
curvatura4.sm (21kb) downloaded 23 time(s).

Best regards.
Alvaro
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Offline Jean Giraud  
#8 Posted : 06 December 2019 19:08:58(UTC)
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Originally Posted by: Ale16595 Go to Quoted Post
Thank you very much for the availability.
But I need more help.
How can I draw the tangent line to the equation in parametric form?

For the Tangent over C(t), it will follow the scalar rules
of the document Tangent.sm posted before.
The Tangent over the parabola is another business.
Smath does not derive linterp(x) as it is NOT a function
only an interpolation. This project and lot more are
rescued via Infinitesimal Analysis [dates back before CAS].
For that particular typical user point of tangency, OK.
You may want to experiment more .
Don't mind to see noisy curvature [disabled in collapsed].
Chers ... Jean.

TangentInfinitesimal.PNG

curvatura2 Copy.sm (31kb) downloaded 15 time(s).

Offline Ale16595  
#9 Posted : 06 December 2019 19:16:01(UTC)
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Thanks for the answers.
But if I wanted to find the tangent to the curve when the parameter t changes, how should I do?
Offline Razonar  
#10 Posted : 06 December 2019 20:05:01(UTC)
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Originally Posted by: Ale16595 Go to Quoted Post
Thanks for the answers.
But if I wanted to find the tangent to the curve when the parameter t changes, how should I do?


Do you mean the envelope, all the tangents for the range en T?

curvatura5 - envelope.sm (24kb) downloaded 23 time(s).

Clipboard01.gif

Best regars.
Alvaro.

Edited by user 06 December 2019 20:52:48(UTC)  | Reason: Not specified

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Offline Jean Giraud  
#11 Posted : 06 December 2019 20:55:53(UTC)
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Originally Posted by: Razonar Go to Quoted Post
Hi Ale. Here, some ways.

Thanks Alvaro ... superb/saved ... Jean
Offline Jean Giraud  
#12 Posted : 06 December 2019 21:02:35(UTC)
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Ellipse otherwise from complex.

Circle Complex [Ellipse ROT].sm (14kb) downloaded 20 time(s).
Offline Jean Giraud  
#13 Posted : 07 December 2019 04:48:04(UTC)
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Your project has been refactored strictly on discrete.
OK, you have functions but life is from collected data.
Collected data are always noisy from the quantization,
a small amount of Gaussian Ksmooth is often sufficient.
Ksmooth being applied before cinterp
As exemplified, cinterp is the best interpolator for
a clean curvature plot from infinitesimal maths.
I don't understand what your were attempting c(t) last module.
Please, don't hesitate for more.
Cheers ... Jean

Maths Tangent Data Set Copy.sm (37kb) downloaded 19 time(s).

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Offline Jean Giraud  
#14 Posted : 07 December 2019 05:22:41(UTC)
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Originally Posted by: Jean Giraud Go to Quoted Post
Your project has been refactored strictly on discrete.
O

.... more maths are coming:
cumulative integration, arc length
derivative you already have it from last attachment.
Offline Ale16595  
#15 Posted : 07 December 2019 12:12:23(UTC)
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Thank you very much for the help, I appreciate it very much.
I hope to be able to continue alone.
kind regards
Offline Jean Giraud  
#16 Posted : 07 December 2019 16:48:24(UTC)
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Originally Posted by: Ale16595 Go to Quoted Post
Thank you very much for the help, I appreciate it very much.
I hope to be able to continue alone.
kind regards

Your project now all done, based on discrete collected data,
collected data that you will have to smooth [not offered].
Smoothing is a large Engineering tool box !
I hope to be able to continue alone.
Let's see the continued adventure.
Cheers ... Jean

Maths Tangent Data Set.sm (61kb) downloaded 24 time(s).
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