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Offline OchkovVF  
#1 Posted : 31 October 2023 08:43:01(UTC)
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I can plot an ellipse or a hyperbola
See please Ellipse-Hyperbola.sm (12kb) downloaded 5 time(s).
But cannot plot cubic lines.
Cubica.sm (30kb) downloaded 8 time(s).
Is it my or SMath error?
See please also
https://community.ptc.co...athcad/Cubica/m-p/496877

Thanks!

Edited by user 31 October 2023 08:46:00(UTC)  | Reason: Not specified

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Offline Razonar  
#2 Posted : 31 October 2023 12:02:05(UTC)
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Hi Vladimir. The problem is the poor quality of SMath's numerical code for linear algebra. A workaround is to redefine the determinant using some plugin.

Cubica.sm (32kb) downloaded 14 time(s).

Best regards.
Alvaro.
thanks 2 users thanked Razonar for this useful post.
on 31/10/2023(UTC),  on 31/10/2023(UTC)
Offline Razonar  
#3 Posted : 31 October 2023 15:58:55(UTC)
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General case.

Homogeneous Curve.sm (28kb) downloaded 6 time(s).

Best regards.
Alvaro.


thanks 2 users thanked Razonar for this useful post.
on 31/10/2023(UTC),  on 31/10/2023(UTC)
Offline OchkovVF  
#4 Posted : 31 October 2023 19:20:09(UTC)
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Спасибо!
Вот цитата из моей с А.И. Тихоновым книги
https://lanbook.com/cata...enie-po-tekhnologii-stem
Инженер: ...вопрос к разработчикам, который не надо стесняться задавать либо им, либо на форумах, где общаются пользователи программ. Часто оказывается, что ответ на вопрос уже есть, его нужно только найти с помощью поисковой системы.
Студент: Где нужно это искать?
Математик: Практически для каждой математической системы имеется сообщество пользователей. Разработчики обычно поощряют эти сообщества, так они помогают поддерживать систему, устранять ошибки, формировать направления ее развития. Активными являются сообщества пользователей Mathcad и MATLAB. Несколько хуже обстоит дело с бесплатными системами. Сил и возможностей у их разработчиков существенно меньше.
Кстати, если у вас не хватает знаний, навыков или просто времени на решение задачи, то можно ее «повесить» на форуме и дождаться решения. Вот пример такой работы https://en.smath.com/for...sm82878_Cubic-lines.aspx
Thank you!
Here is a quote from my with Anton Tikhonov book
https://www.routledge.co...nov/p/book/9781032131658
Engineer: ...a question for developers that you shouldn’t be embarrassed to ask either them or on forums where users of the programs you work with communicate. It often turns out that the answer to a question already exists; you just need to find it using a search engine.
Student: Where should I look for this?
Mathematician: Almost every mathematical system has a community of users. Developers usually encourage these communities, so they help maintain the system, fix bugs, and shape the direction of its development. Mathcad and MATLAB user communities are active. The situation is somewhat worse with free systems. Their developers have significantly less strength and capabilities.
By the way, if you do not have enough knowledge, skills, or simply time to solve a problem, then you can “post” it on the forum and wait for a solution. Here is an example of such work https://en.smath.com/for...sm82878_Cubic-lines.aspx

Edited by user 31 October 2023 19:28:03(UTC)  | Reason: Not specified

Offline OchkovVF  
#5 Posted : 31 October 2023 19:24:20(UTC)
OchkovVF


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Originally Posted by: Razonar Go to Quoted Post
Hi Vladimir. The problem is the poor quality of SMath's numerical code for linear algebra. A workaround is to redefine the determinant using some plugin.

Best regards.
Alvaro.


Yes, Vladimir is a very famous name - Vladimir Lenin, Volodymyr Zelensky, Vladimir Putin...
But fortunately I am Valery ;-)

Edited by user 31 October 2023 19:30:11(UTC)  | Reason: Not specified

Offline OchkovVF  
#6 Posted : 31 October 2023 20:42:32(UTC)
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Offline OchkovVF  
#7 Posted : 01 November 2023 02:41:24(UTC)
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Limit at n=10
9-10.png

Offline Razonar  
#8 Posted : 01 November 2023 08:16:45(UTC)
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Originally Posted by: OchkovVF Go to Quoted Post
... Yes, Vladimir is a very famous name - Vladimir Lenin, Volodymyr Zelensky, Vladimir Putin...
But fortunately I am Valery ;-)


Please, excuse me. I generally remember faces a little better, but I'm a disaster with names.

Originally Posted by: OchkovVF Go to Quoted Post
By the way, if you do not have enough knowledge, skills, or simply time to solve a problem, then you can “post” it on the forum and wait for a solution. Here is an example of such work https://en.smath.com/for...sm82878_Cubic-lines.aspx


In maintenance we say: the important thing is not to know how to repair something, but to have the phone number of someone who knows.

Originally Posted by: OchkovVF Go to Quoted Post


Yes, that's the sequence. It is the number of coefficients that have a homogenous bilinear form in two variables. And is the number of rows in the matrix 'v' in the file.

Clipboard02.png

Originally Posted by: OchkovVF Go to Quoted Post
Limit at n=10


I put the comments backwards. For big n, disable the SMath matrix inverse method and use dn_LinAlgSolve.

Clipboard01.png

Homogeneous Curve.sm (32kb) downloaded 0 time(s).

I suppose it can be easily generalized to three dimensions, except for the part of graphing the surface, since there we would not have the usefulness of XYPlot to graph implicit functions.

Best regards.
Alvaro.
Offline Razonar  
#9 Posted : 01 November 2023 08:54:32(UTC)
Razonar


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Originally Posted by: Razonar Go to Quoted Post
I suppose it can be easily generalized to three dimensions, except for the part of graphing the surface, since there we would not have the usefulness of XYPlot to graph implicit functions.


With n level curves, one passes through each X,Y pair at level Z. For d=1, we have a plane, d=2 a quadric, etc.

Clipboard03.png

Homogeneous Surface.sm (34kb) downloaded 3 time(s).

Best regards.
Alvaro.
thanks 1 user thanked Razonar for this useful post.
on 01/11/2023(UTC)
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