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More pleasing higher order derivative - Сообщения
#1 Опубликовано: 08.01.2023 23:46:05
#2 Опубликовано: 09.01.2023 11:19:36
#3 Опубликовано: 09.01.2023 12:37:18
#4 Опубликовано: 09.01.2023 13:19:06
Maths Derivative GENERALISED algo.sm (9 КиБ) скачан 61 раз(а).
#5 Опубликовано: 09.01.2023 15:02:06
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.sm (8 КиБ) скачан 49 раз(а).
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.sm (8 КиБ) скачан 49 раз(а).
Martin Kraska
Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
#6 Опубликовано: 09.01.2023 18:56:03
Hi. Some notes.
You can assign it to a partial derivative like operator inside SMath. (First example in the image)
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)

diff1.sm (20 КиБ) скачан 52 раз(а).
Best regards.
Alvaro.
WroteSMath 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)
Wrote... 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)
diff1.sm (20 КиБ) скачан 52 раз(а).
Best regards.
Alvaro.
#7 Опубликовано: 09.01.2023 22:27:38
#8 Опубликовано: 09.01.2023 22:30:08
@mkraska, @Razonar
Thank you for the exaples.
So I can use nested 1st order derivative to get higher order derivative.
Thank you for the exaples.
So I can use nested 1st order derivative to get higher order derivative.
#9 Опубликовано: 09.01.2023 23:03:19
1 пользователям понравился этот пост
netsonicyxf 09.01.2023 23:36:00
#10 Опубликовано: 09.01.2023 23:07:00
Maths Derivative GENERALISED algo.sm (9 КиБ) скачан 84 раз(а).
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