The Maxima Solver can't solve the symbolic equations

#1 Posted: 2/19/2022 4:35:04 AM

netsonicyxf

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2.sm (3 KiB) downloaded 43 time(s).

#2 Posted: 2/19/2022 9:42:42 PM

netsonicyxf

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Thanks Jean,

Both a and alpha are unknows.
the result of a and alpha are still includes these unknows.
Only φ, R and m are knowns and can be used in the results.

#3 Posted: 2/20/2022 10:12:56 AM

netsonicyxf

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Thanks Jean,

Buy you 2nd sybolic solution is the same as the 1st one.

The solution should not include the unknow a and alpha

My friend use Maple to get symbolic solution like this

You can see that in the solution of alpha, there is no a, in the solution of a, there is no alpha.

#4 Posted: 2/20/2022 8:29:51 PM

overlord

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Symbolic solver of maxima is not that capable.
As far as I know of course, maybe there is a simpler way.
But this statement was what I had read about it.
You have to use some substitutions for that solutions.
And some extra division, arc functions, visa versa.
Here is α solved symbolically in wxMaxima.
Same method can be applicable for variable a.

Regards

untitled.wxmx.zip (1 KiB) downloaded 29 time(s).

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netsonicyxf 2/20/2022 10:08:00 PM

#5 Posted: 2/21/2022 5:52:40 PM

overlord

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Wrote
Maxima and Maple have same ancestor Macyma

This is a misinformation, you are wrong as usual Jean.
Macsyma is not ancestor of Maple, or Maple is not a derivative of Macsyma.
Those are totally different softwares, written in different programming languages.
Written in different purpose, in different places by different people.

Macsyma is written in LISP, Maple is in C and Java.
It was developed to work on lower cost computers, entirely from scratch.
It could run on cheap machines because of C, on the contrary of LISP.

Maxima is written in LISP but it has a different background.
Maxima is not a successor of Macsyma, it started as 1982 version of it.
Macsyma is developed to 1999, than sold and not a version is released after.
Maxima code was property of US Department of Energy, maintainer made it GPL in 1998.
That code is being developed by independent maintainers since than, it is not just free but open-source.
Maxima does not include any of the many modifications and enhancements made to the commercial version of Macsyma during 1982–1999.

And that file at the end of you post, it tells nothing.
Nothing about what the topic owners requests.
Just a waste of server space and people's time.

#6 Posted: 2/22/2022 3:12:53 AM

netsonicyxf

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Is Maple plugin in Smath able to get symbolic results as Maxima does, but more easily?

#7 Posted: 2/22/2022 11:55:34 AM

overlord

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Wrote
Is Maple plugin in Smath able to get symbolic results as Maxima does, but more easily?

Maple is easier to use, that is a fact.
And sometimes it gives better results.
But Maxima can surpass Maple at certain aspects.
Use what suits your needs most.

In the example below, I solved your function with Maple.
Though it gives the results correct, result matrix is cripled.
Copying and changing last bits of result ";2;1)" to ";2;2)" will correct the result.
";" may differ to "," according to your arguments separator.

Regards

Worksheet1.sm (15 KiB) downloaded 61 time(s).

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netsonicyxf 2/26/2022 10:43:00 PM

#8 Posted: 4/16/2022 3:36:27 AM

netsonicyxf

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Wrote

Wrote
Is Maple plugin in Smath able to get symbolic results as Maxima does, but more easily?

Maple is easier to use, that is a fact.
And sometimes it gives better results.
But Maxima can surpass Maple at certain aspects.
Use what suits your needs most.

In the example below, I solved your function with Maple.
Though it gives the results correct, result matrix is cripled.
Copying and changing last bits of result ";2;1)" to ";2;2)" will correct the result.
";" may differ to "," according to your arguments separator.

Regards

Worksheet1.sm (15 KiB) downloaded 61 time(s).

Hi overload,

When I open you sm I get this error

#9 Posted: 4/16/2022 9:57:28 AM

netsonicyxf

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Wrote
... is that what you are looking for ?

No
The two equations should be put in one system.

#10 Posted: 4/16/2022 12:26:22 PM

churichuro

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Wrote

Wrote

Wrote
Is Maple plugin in Smath able to get symbolic results as Maxima does, but more
Hi overload,

When I open you sm I get this error

appears in red, because the evaluation must be symbolic.

select the "result" variable, press the right button and in the type of evaluation select symbolic and that's it.
I hope I have served you, greetings

#11 Posted: 4/16/2022 12:43:00 PM

Alvaro Diaz Falconi

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Hi. Another way, applying trigonometric identities.

solve_trig.sm (12 KiB) downloaded 41 time(s).

Best regards.
Alvaro.

#12 Posted: 4/17/2022 8:32:35 AM

Jean Giraud

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Wrote
Thanks Jean,

Both beta and alpha are unknown.
the result of beta and alpha still include these unknowns.
Onlyφ, R and m are known and can be used in the results.

... to be used as productive.
Your system is baby stuff, example 2 advanced.
I leave it there, not knowing more about your end demand.
Simply a solved formula representation ???
Comment or ignore ... Jean.

Solve ADVANCED Productive.sm (22 KiB) downloaded 35 time(s).

#13 Posted: 4/17/2022 9:52:57 AM

Jean Giraud

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Does it conclude something in that long journey ?

#14 Posted: 4/17/2022 10:23:25 AM

overlord

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Wrote
select the "result" variable, press the right button and in the type of evaluation select symbolic and that's it.
I hope I have served you, greetings

Addition to churichuro's reply, use this simple function to correct maple plugin result matrices.

Regards

maplecorrect.sm (26 KiB) downloaded 101 time(s).

SMath

The Maxima Solver can't solve the symbolic equations

The Maxima Solver can't solve the symbolic equations - Messages

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The Maxima Solver can't solve the symbolic equations - Messages