  Rank: Advanced Member Groups: Registered
Joined: 29/10/2019(UTC) Posts: 35  Location: Italy
|
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 16 time(s).Thank you so much 
|
|
|
|
|
|
 Rank: Advanced Member Groups: Registered
Joined: 10/12/2009(UTC) Posts: 266   Location: Cali, Colombia Was thanked: 97 time(s) in 71 post(s)
|
Originally Posted by: Ale16595  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...  ... and the .sm file: curvatura1.sm (10kb) downloaded 22 time(s).
|
|
|
|
|
|
 Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,866  Was thanked: 983 time(s) in 811 post(s)
|
Originally Posted by: Ale16595 Could anyone help me ? To plot both systems ... Jean curvatura.sm (12kb) downloaded 36 time(s). Maths Tangent.sm (92kb) downloaded 37 time(s).
|
|
|
|
|
|
Rank: Advanced Member Groups: Registered
Joined: 29/10/2019(UTC) Posts: 35 Location: Italy
|
thank you very much for your help, I hope I have no more problems
|
|
|
|
|
|
Rank: Advanced Member Groups: Registered
Joined: 10/12/2009(UTC) Posts: 266 Location: Cali, Colombia Was thanked: 97 time(s) in 71 post(s)
|
Originally Posted by: Ale16595 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
|
|
|
|
|
|
Rank: Advanced Member Groups: Registered
Joined: 29/10/2019(UTC) Posts: 35 Location: Italy
|
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 20 time(s).
|
|
|
|
|
|
Rank: Advanced Member Groups: Registered
Joined: 28/08/2014(UTC) Posts: 1,471  Was thanked: 921 time(s) in 586 post(s)
|
Hi Ale. Here, some ways. curvatura3.sm (26kb) downloaded 24 time(s). curvatura4.sm (21kb) downloaded 30 time(s).Best regards. Alvaro
|
 1 user thanked Razonar for this useful post.
|
|
|
|
Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 983 time(s) in 811 post(s)
|
Originally Posted by: Ale16595 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.  curvatura2 Copy.sm (31kb) downloaded 18 time(s).
|
|
|
|
|
|
Rank: Advanced Member Groups: Registered
Joined: 29/10/2019(UTC) Posts: 35 Location: Italy
|
Thanks for the answers.
But if I wanted to find the tangent to the curve when the parameter t changes, how should I do?
|
|
|
|
|
|
Rank: Advanced Member Groups: Registered
Joined: 28/08/2014(UTC) Posts: 1,471 Was thanked: 921 time(s) in 586 post(s)
|
Originally Posted by: Ale16595 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 31 time(s). Best regars. Alvaro. Edited by user 06 December 2019 20:52:48(UTC)
| Reason: Not specified
|
1 user thanked Razonar for this useful post.
|
|
|
|
Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 983 time(s) in 811 post(s)
|
Originally Posted by: Razonar Hi Ale. Here, some ways. Thanks Alvaro ... superb/saved ... Jean
|
|
|
|
|
|
Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 983 time(s) in 811 post(s)
|
|
|
|
|
|
|
Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 983 time(s) in 811 post(s)
|
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 21 time(s).
|
1 user thanked Jean Giraud for this useful post.
|
|
|
|
Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 983 time(s) in 811 post(s)
|
Originally Posted by: Jean Giraud 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.
|
|
|
|
|
|
Rank: Advanced Member Groups: Registered
Joined: 29/10/2019(UTC) Posts: 35 Location: Italy
|
Thank you very much for the help, I appreciate it very much.
I hope to be able to continue alone.
kind regards
|
|
|
|
|
|
Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 983 time(s) in 811 post(s)
|
Originally Posted by: Ale16595 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 27 time(s).
|
1 user thanked Jean Giraud for this useful post.
|
|
|
|
 Rank: Advanced Member Groups: Registered
Joined: 29/11/2017(UTC) Posts: 88  Location: Midwest Was thanked: 9 time(s) in 7 post(s)
|
Hello Alvaro, Is graphing a tangent line as exhibited in "curature3.sm" only available for a plot/function in parametric form, i.e. is this available for a cartesian plot/function?
I welcome your review and look forward to your reply.
Sincerely,
Norm
|
|
|
|
|
|
Rank: Advanced Member Groups: Registered
Joined: 28/08/2014(UTC) Posts: 1,471 Was thanked: 921 time(s) in 586 post(s)
|
Hi Norm. You can parametrize f(x) as {x(t)=t, y(t)=f(t)} and substitute in the formulas x'(t)=1, x''(t)=0, x(t) -> x and y(t) -> y(x). curvatura3 - Cartesian.sm (41kb) downloaded 14 time(s).Best regards. Alvaro.
|
1 user thanked Razonar for this useful post.
|
|
|
|
Rank: Advanced Member Groups: Registered
Joined: 29/11/2017(UTC) Posts: 88 Location: Midwest Was thanked: 9 time(s) in 7 post(s)
|
Thanks Alvaro! As always, great examples to work with!
Sincerely,
Norm
|
|
|
|
|
|
Forum Jump
You cannot post new topics in this forum.
You cannot reply to topics in this forum.
You cannot delete your posts in this forum.
You cannot edit your posts in this forum.
You cannot create polls in this forum.
You cannot vote in polls in this forum.
