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Offline netsonicyxf  
#1 Posted : 09 January 2023 05:46:05(UTC)
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Is it possible to add more pleasing higher order derivative, like these?
123.png

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Offline Jean Giraud  
#2 Posted : 09 January 2023 17:19:36(UTC)
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Originally Posted by: netsonicyxf Go to Quoted Post
Is it possible to add more pleasing higher order derivative, like these ?

More Derivatives is limited by the symbolic of f(x)
More pleasant ... from invention.

Derivatives.PNG
Offline Jean Giraud  
#3 Posted : 09 January 2023 18:37:18(UTC)
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...make it algo style for in-situ command line.

Deriv_algo.PNG
Offline Jean Giraud  
#4 Posted : 09 January 2023 19:19:06(UTC)
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Maths Derivative GENERALISED algo.sm (10kb) downloaded 10 time(s).
Offline mkraska  
#5 Posted : 09 January 2023 21:02:06(UTC)
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SMath has a built-in prime operator ()'. It can be created but will not be evaluated in the base configuration of SMath Studio

The Maxima plugin links this operator to the function Diff(1), which computes the total derivative of an expression with respect to all variables in that expression. You can mark symbolic constants in the expression by making them custom units (writing them with a leading prime like 'y).

The function Diff(1) is always avaliable if the Maxima plugin is installed, yet the operator form must explicitly be "hijacked" by the command MaximaTakeover().
It is then available as diff(1) in the dynamic assistant.

You can create second derivatives using nested ()' operators but that doesn't look good. Perhaps appropriate operators could be defined in the custom glyphs plugin.

diff1.PNG
diff1.sm (9kb) downloaded 9 time(s).

Edited by user 09 January 2023 21:09:17(UTC)  | Reason: Not specified

Martin Kraska

Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
Offline Razonar  
#6 Posted : 10 January 2023 00:56:03(UTC)
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Hi. Some notes.

Originally Posted by: mkraska Go to Quoted Post
SMath has a built-in prime operator ()'. It can be created but will not be evaluated in the base configuration of SMath Studio ...

You can assign it to a partial derivative like operator inside SMath. (First example in the image)

Originally Posted by: mkraska Go to Quoted Post
... The Maxima plugin links this operator to the function Diff(1), which computes the total derivative of an expression with respect to all variables in that expression. You can mark symbolic constants in the expression by making them custom units (writing them with a leading prime like 'y).

Maxima is a great plugin. You can have it and prime as partial derivative, this is, it is not necessary to use units to mark variables other than the variable of the derivative. (Last example in the image)

Clipboard01.png

diff1.sm (21kb) downloaded 8 time(s).

Best regards.
Alvaro.
Offline netsonicyxf  
#7 Posted : 10 January 2023 04:27:38(UTC)
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Originally Posted by: Jean Giraud Go to Quoted Post
Originally Posted by: netsonicyxf Go to Quoted Post
Is it possible to add more pleasing higher order derivative, like these ?

More Derivatives is limited by the symbolic of f(x)
More pleasant ... from invention.

Derivatives.PNG


Hi Jean,

Thank you for the detailed examples. But how do you input the "n" on the top?
12.png

Offline netsonicyxf  
#8 Posted : 10 January 2023 04:30:08(UTC)
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@mkraska, @Razonar

Thank you for the exaples.
So I can use nested 1st order derivative to get higher order derivative.
Offline Jean Giraud  
#9 Posted : 10 January 2023 05:03:19(UTC)
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Originally Posted by: netsonicyxf Go to Quoted Post
Hi Jean,
Thank you for the detailed examples. But how do you input the "n" on the top?

Type n at bottom, top follows automatically.

nDerivative.PNG

thanks 1 user thanked Jean Giraud for this useful post.
on 10/01/2023(UTC)
Offline Jean Giraud  
#10 Posted : 10 January 2023 05:07:00(UTC)
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Maths Derivative GENERALISED algo.sm (10kb) downloaded 25 time(s).
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