Applications for equrep: expression isolation and laplace transform.

Applications for equrep: expression isolation and laplace transform. - Messaggi

#1 Pubblicato: 19/11/2019 01:13:30
Alvaro

Alvaro

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Hi. Two Applications for equrep: expression isolation and laplace transform.
Must to have a lot of bugs. Sugestions are welcome.

equrep.sm (121,18 KiB) scaricato 1415 volta(e).
equrep.pdf (215,29 KiB) scaricato 967 volta(e).

Best regards.
Alvaro.
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frapuano 19/11/2019 03:57:00, sergio 19/11/2019 06:21:00
#2 Pubblicato: 19/11/2019 11:19:26
Jean Giraud

Jean Giraud

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Wrote

Hi. Two Applications for equrep: expression isolation and laplace transform.
Must to have a lot of bugs. Suggestions are welcome.


Alvaro, can't help ...
I don't understand in what eqrep should help or be useful.
Laplace stuff does not come out of blue sky.
Laplace of a function puts that function in the Laplace domain.
From there, you can inverse wrt to any applicable 'new s domain'.
1-[exp(-t)*cos(3*t)]/2
Jean.

Laplace Numerical Algo Style READ 3rd.sm (9,68 KiB) scaricato 1401 volta(e).
Inst_TurboGen Signum.sm (86,72 KiB) scaricato 1380 volta(e).
Inst_TurboGen Smath.sm (118,82 KiB) scaricato 1373 volta(e).
Inst_PID [MCD Model].sm (179,67 KiB) scaricato 1292 volta(e).
#3 Pubblicato: 19/11/2019 16:12:15
Alvaro

Alvaro

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Wrote


I don't understand in what eqrep should help or be useful.



Hi Jean. You use maple in your files, which it's a great plugin, but external to smath. I just use only smath code.

Best regards.
Alvaro.
#4 Pubblicato: 19/11/2019 17:35:24
Jean Giraud

Jean Giraud

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Wrote

Hi Jean. You use maple in your files, which it's a great plugin, but external to smath. I just use only smath code.


I understand Alvaro,
Good luck to replace all the maple capabilities.
There is lot more than Laplace to make work,
IMHO: eqrep will never be exhausted.
Further: the tracability of an Smath/maple document is
implicit [per say] ... thus will pass QA [Quality Assurance].
Cheers ... Jean.

#5 Pubblicato: 19/11/2019 22:31:55
Alvaro

Alvaro

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Solving an ODE by laplace transform. Just only SMath code.

laplaceODE.sm (150,24 KiB) scaricato 1430 volta(e).
laplaceODE.pdf (226,73 KiB) scaricato 1055 volta(e).

Best regards.
Alvaro.
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frapuano 20/11/2019 05:59:00, sergio 20/11/2019 06:05:00
#6 Pubblicato: 20/11/2019 18:02:51
Jean Giraud

Jean Giraud

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Hola ! Alvaro,
Two more applications [TurboGen & PID]
For you to finish for the 7251 Community.
1. PID is left Gamma(x)
2. TurboGen is Γ(ζ)

Cheers ... Jean

Laplace Numerical Algo Style PID.sm (38,72 KiB) scaricato 1368 volta(e).
Laplace Numerical Algo Style TurboGen [Alvaro RemToDo].sm (77,31 KiB) scaricato 1303 volta(e).
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Alvaro 21/11/2019 14:48:00
#7 Pubblicato: 21/11/2019 20:34:20
Jean Giraud

Jean Giraud

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1. This document links to a Laplace table to explore.
2. Certify the accuracy of the Numerical Inverse Laplace.

Laplace Numerical Algo Style EDU.sm (83,37 KiB) scaricato 1505 volta(e).
#8 Pubblicato: 23/11/2019 05:00:55
Alvaro

Alvaro

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Some high school maths. Solving simple 2,3 and 4 equations systems.

ejemplo isol Atwood.pdf (221,12 KiB) scaricato 979 volta(e).
ejemplo isol Atwood.sm (106,61 KiB) scaricato 1478 volta(e).

Best regards.
Alvaro.
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frapuano 23/11/2019 05:49:00, sergio 23/11/2019 06:46:00
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