SMath Studio Forum
»
SMath Studio
»
Samples
»
Gram-Schmidt Orthogonal Functions
Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,868 Was thanked: 980 time(s) in 808 post(s)
|
Not as clean as Mathcad, but can be done terms by terms. Smath 5346 does not recognise the dot product integration. I might have missed some coding for solving algo style. Jean Symbolic Gram-Schmidt.sm (110kb) downloaded 48 time(s).
|
|
|
|
Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,868 Was thanked: 980 time(s) in 808 post(s)
|
... read more in the attached Smath document. Work sheet renamed for easier retrieval. Though Mathcad 8/11 is the champion for creating orthogonal polynomials, Smath will do as well with a bit more sweat ! The summarised application is inductive of what it can do for you. More can be done ... assume you have a noisy data set and the project requires a trigonometric fit. It would be easy to fit a Fourier polynomial sin/cos function cleaned of noise. This is not offered in the work sheet. Maybe collabs will find a way to instruct Smath accept the "dot integrator", something that wiil result "Mathcad style", usefull for next Smath release. Jean PolyOrtho [Gram-Schmidt].sm (133kb) downloaded 24 time(s).
|
|
|
|
Rank: Advanced Member Groups: Registered
Joined: 14/10/2015(UTC) Posts: 308
Was thanked: 77 time(s) in 58 post(s)
|
|
|
|
|
Rank: Advanced Member Groups: Registered
Joined: 14/10/2015(UTC) Posts: 308
Was thanked: 77 time(s) in 58 post(s)
|
A small improvement. I correct , because the " dot " function does not work correctly Best Regards Carlos. ortogonal_Jean_CBG_R2.sm (14kb) downloaded 18 time(s).Edited by user 23 June 2016 18:54:52(UTC)
| Reason: Not specified
|
|
|
|
Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,868 Was thanked: 980 time(s) in 808 post(s)
|
Thanks, Carlos: Your 2nd version is OK. Still, can't export the reduced components in visible form. Will work again tonight.
Cheers, Jean
|
|
|
|
Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,868 Was thanked: 980 time(s) in 808 post(s)
|
Carlos, Thanks again for your contribution. This "Reconciliation" is made a bit more function style. Very interesting that Smath can build "kernel algo" like Mathcad 8/11 [discovered after years !]. The symbolic expansion is not convenient at all. Maple is not good companion in there ... ... thus PART 2 in the attached. Jean PolyOrtho [Gram-Schmidt, RECONCILIATION].sm (55kb) downloaded 17 time(s).
|
|
|
|
Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,868 Was thanked: 980 time(s) in 808 post(s)
|
... final reconciliation ... ASSUME: 1. The 'o' "Kernel algo" can build from any vector functions f(x). 2. That naturally the roots exist and can be found. 3. Then the 15 decimals Lagrange is adequate for applications. Project done, nothng to be envious of Mathcad, just different. Successful collaboration Jean PolyOrtho [Gram-Schmidt, Reconciliation].sm (62kb) downloaded 22 time(s).
|
|
|
|
Rank: Advanced Member Groups: Registered
Joined: 14/10/2015(UTC) Posts: 308
Was thanked: 77 time(s) in 58 post(s)
|
|
|
|
|
Rank: Guest
Groups: Registered
Joined: 04/07/2015(UTC) Posts: 6,868 Was thanked: 980 time(s) in 808 post(s)
|
|
|
|
|
SMath Studio Forum
»
SMath Studio
»
Samples
»
Gram-Schmidt Orthogonal Functions
Forum Jump
You cannot post new topics in this forum.
You cannot reply to topics in this forum.
You cannot delete your posts in this forum.
You cannot edit your posts in this forum.
You cannot create polls in this forum.
You cannot vote in polls in this forum.