@rlopez That works if the focus was already on an Execution Group.

But simply typing the Enter or Return key is not enough for my Maple 18 or Maple 2020.1, Linux, if the pointer focus is inside a Text paragraph within the Section, or on its title as Text, or within a Document Block (paragraph) of a Document. In those cases I can still use the main menubar's item. For example, following selection of the whole Section, in Maple 18 I can still use Edit->Execute-Selection from the menubar.

It seems that the pointer focus has to be within an Execution Group, for Enter or Return to cause execution of all the whole selected Section.

In modern Maple versions (eg. Maple 2020.1) Ctl-= works for me in all cases I've tried (following selection of the whole Section, naturally). Unfortunately, there is no such keystroke acceleration in my Maple 18.

It's usually a good idea to upload and attach your Worksheet/Document, if you have already tried something and obtained a suprising or undesired result. That way we can pinpoint the problem and, hopefully, explain it better.

@Yiannis Galidakis Sorry, I had forgotten that you were using Maple 18.

In that version the plots:-conformal command expects a list of two colors in order to override both its default colors.

Here is an adjustment, for Maple 18.

conformalfun_Maple1802.mw

You can of course adjust the way the hue is set. I used complex argument, via the arctan command, and you could compare with the coloring scheme on that 3rd party site.

It would also be straightforward to adjust the intensity component of the "HSV" Color call, say by the taking complex modulus of the value via the abs command.

It is not clear to me what you are trying to ask.

Could you upload a text file of the comma-separated data, and a .mw worksheet that contains your failed attempt(s)?

@dianam8 Show us what you've achieved so far, and tell us explicitly how you'd like to continue and what you hope to achieve.

You can use the green up-arrow in the Mapleprimes editor to upload a .mw worksheet, and attach it to a Reply.

Perhaps it's time to program efffectively with procedures.

It's probably much easier to call a Maple command to compute the y-value for exactly x=2, than it is to use something as crude as a point-probe.

Show us your example.

I was talking only about dense, hardware float[8] linear algebra, called properly.

Sparse linear algebra is another story. If you want to ask a specific question you should branch it off this thread.

@itsme I having been doing performance testing of the key computations of dense numeric Linear Algebra, Mma vs Maple, for years, on multicore hardware.  I have also used (close) revisions of the scripts for it obtained from the Wolfram site mentioned. For datatype=float[8] Matrices, properly done, I consistently see almost no significant difference between the products across a wide range of sizes, getting both to their MKL as fast as reasonably possible. I have found this to hold, for 64bit Linux/OSX/Windows, since at least Maple 2015. 

The results cited by that Wolfram document (which is usually revised yearly), reports slower timings than I obtain, often by a factor of about 3-4, each year.  I suspect the discrepency  is due to incompetence at best, disingenuousness at worst. The performance factor discrepency (between what they claim and what I see) is usually off by an amount similar to the gain I see due to parallelism -- I try a few different quad-core CPUs on each of the three named platforms.

Perhaps they have found some CPU for which the parallel MKL isn't kicking in properly. But for hardware float[8] LU decomposition, linear solving, symmetric and nonsymmetric eigensolving, svd , QR decomposition, matrix multiplucation done *properly*, I almost always see a very close match.

@manon22lr Ok, thanks for the definition of tensdBe.

You wrote, "I tried something with "proc", I found on Maple Help Page." And you define Be11Num as a procedure.

But you misuse it, since you only use Be11Num as a parameter(!) name in the fitted objective. And even if Be11Num were to be called with values it is not written to call ode_sol at all. So the ODE parameter values are not being altered, and the Be11 values from the numeric ODE solution are not being used. So this needs rewriting.

You need objective PK to depend on ODE parameters a and eta, by virtue or their explicit presence in the PK expression. You need PK to contain calls to Be11Num as a function of a, eta, and t, and you need those calls to return unevaluated if its arguments are not numeric. It's a moderately advanced Maple programming task.

I already have a revision that does the above. And it can be done in such a way that (internally stored) dsolve,numeric structures/info are not thrown away each time the ODE parameters a and eta get set (ie. when re-set to the very same previous values).

And it can be used with (local optimization) NonlinearFit command or the routines from the (global optimization) DirectSearch package.

But it would be much better if you could state reasonable numeric ranges for the parameters, especially a and eta.

Put your followup details and queries about solving your system (or derived systems) here, rather than in a separate Question thread.

@Mohamed19 I hope to be able to look at your followup soon, perhaps tonight. (I have been busy.)

@9009134 Please keep your followup example here, instead of in a new Question.

You are missing the code that define Lens and Distance. Please include all the user-defined code necessary to reproduce the problem. You could upload and attach a worksheet.

@Mohamed19 And what difficulty did you have in entering that in Maple?

Is your Maple Help system not working? Which parts of the syntax did you not understand? Something else?

[I am not interested in playing games, like this Question thread in which it took you more than 10 submissions before you came to your main points.]