Thiele Function Automation

#1 Опубликовано: 30.04.2018 17:45:46

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This example is an automation of the Thiele function
published by Jean in the "Utilities Pts logpts Application" sheet

Thiele_Automatic_Jean_cbg.sm (22 КиБ) скачан 77 раз(а).

Best Regards

Carlos

#2 Опубликовано: 01.05.2018 19:33:59

Jean Giraud

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Wrote
This example is an automation of the Thiele function

... refreshed a bit, a note added.
Superb, the piece of automated interpolation.
Thanks Carlos ... Jean

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#3 Опубликовано: 02.05.2018 18:23:05

CBG

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Hello Jean,

Please review the following example that you posted.

Thiele Model Construct.sm (44 КиБ) скачан 62 раз(а).

Thank you

Best Regards

Carlos

#4 Опубликовано: 03.05.2018 10:37:19

Jean Giraud

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Hello Jean,

Please review the following example that you posted.

Hello Carlos,

The attached document has been doctored.
The long native form is as nice to export than the reduced J_Frac.
J_Frac is more compact, but not as clear for unfamiliar user.
Thiele is capricious wrt to Maple [see the blue note].
It starts refusing if too many Maple instances have been invoked,
maybe a limited courtesy from Maplesoft ?

Please let me know if correct in your Smath system.

See you soon ... Jean

From fresh Smath session, supports the 3 documents attached.

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Thiele Transit_Convert.sm (13 КиБ) скачан 55 раз(а).
Thiele Model Construct Copy.sm (37 КиБ) скачан 59 раз(а).

#5 Опубликовано: 09.05.2018 18:39:36

CBG

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Hello Jean

Updated version of Interpolation using the Thiele algorithm in cuntinuous fractions.

It includes the calculation of the inverse differences φ [x0, ..., xi], obtained from the values in the known points

Rounding the values of the inverse differences for the purpose of presenting the equation to make it shorter

Thiele_Automatic_Jean_CBG_R1.sm (69 КиБ) скачан 67 раз(а).

Best Regards

Carlos

#6 Опубликовано: 10.05.2018 10:37:06

Jean Giraud

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Hello Carlos,
What a delicious/educative/Engineering piece of work ... zillions thanks !
Reshaped a bit for first time readers.

Jean

Thiele_3 Automatic [on error Carlos].sm (36 КиБ) скачан 72 раз(а).

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Thiele Function Automation

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Thiele Function Automation - Automation of the Thiele function - Сообщения