@acer 

Thank you for this detailed answer. Very much appreciated!

If I may add a follow-up questions:

Why is

FunctionAdvisor(identities, JacobiSN(z, k))[5] = convert(FunctionAdvisor(identities, JacobiSN)[5], `global`);
is(%);

true whereas this one

FunctionAdvisor(identities, InverseJacobiSN(z, k))[3] = convert(FunctionAdvisor(identities, InverseJacobiSN)[3], `global`);
is(%);

returns false.

@rcorless 

Thank you for considering this summary worth publishing. This is unexpected. I was not sure about clarity and exactness – and I had no one to proofread it. I'm considering removing the student package calls, as I was informed that the package isn't designed for such cases. Perhaps I'll receive further feedback.

I entered the VA with

@rlopez

This much better than digging through Mapleprimes post.

 Thank you for clarifying.

@kjell 

I am surprised that there nothing usefull in Mapleprimes.

Can you be more specific about the problem you want to solve? The PDE and BC would make an answer easier. Uploading a Maplefile is helpful as well.

Does this help?
https://www.mapleprimes.com/questions/226971-Laplace-Equation-Pdsolve

There is probably more to find in Mapleprimes

@kjell 

On my Windows 10 machine I observe per each nuge of the mouse weel a line feed as indicated here by the red ticks

(The system setting for themouse  weel is set to 3 lines).

What is the operating system of your machine?

Do you mean scrolling this page: help(pdsolve, numeric) ?

Other help topics or web pages like https://www.maplesoft.com/support/help/Maple/view.aspx?path=pdsolve%2fnumeric

scroll well?

How do you scroll? Mouse weel?

but again with 2023.1 (to be more precise).

I assumed that the simple package was also effective when dealing with units and 0. What are the remaing painpoints (apart from this bug)?

@acer 

I was in a remote place without internet and can only reply now.

With what I have learned in the meantime, I would ask differently in a less complex case. In this case, no further progress is needed.

Thank you for follwoing up on this!

@delvin 

The error message is quite clear. i is not defined. If you want to express the imaginary unit you should do it as matlab requires to enter complex numbers. Plot won't work with complex numbers. You have to decide for the real or imaginary part of Z.

@Christopher2222 

sigma_p evaluates once to a value (yellow) but not the second time. The backticks red look strange. I think sigma__p and sigma__uts_p seem to be new names which are not assigned to values. Something went wrong when the names where entered.

@epostma 

Sorry, I did not intend to take so much space with that factoring example. At least it's a good benchmark for AI.

@sursumCorda 

Thank you! I will study this and try to make a link to help(examples, functionaloperators) where I could have deduced an answer  myself (see "Operators are distributive.").

@sursumCorda 

Explain(further): What does the "*" between content and primpart do in a fucntional operator and where the h... did you find this?

(Your magic statement will probably not work if the 2 was a positive real constant.)

Anyway, since you are human (I hope), I give you a mental thumbs up.