@ecterrab Yes, it may be desirable to document that AllSolutions was required to get the output. I feel that that has been handled adequately by the input syntax. The output is meant to be a more-standard typeset mathematical display, and AllSolutions is Maple-specific syntax, not standard typeset math.

Do you just need to generate some random examples of the matrices with the given determinant? Or do you need them to be "fairly" chosen, e.g., each matrix with that determinant is equally likely to be chosen? What is the algebraic category of the matrix entries: integer, rational, finite field, etc.? 

@Timm Thaler Okay, asking for the radius of convergence with respect to free R makes sense. You originally had a specific value for R, making it not free. Using B=5 and N=1, I've tried elementary techniques such as the root test and ratio test, but I haven't found anything that works yet. 

So, I'm answering the OP's anticipated followup question before it's even formally posted:

Your series doesn't have any free variables. Neither the concept of radius of convergence nor power series makes sense without a free variable. Your series is simply a real constant; it's not a function, except in the trivial sense of a constant function. 

You can make a variable free if you want, and then ask again. The only variable whose "freedom" would make it a power series is R.

@MANUTTM Yeah, I already knew what you want. It's a much-deeper question than the simple syntax issue with the parentheses. I don't feel like working on it at the moment.

This is @mmcdara's Reply that I accidentally separated from this thread:

@ecterrab 

Thanks for your comment.
I kind of like your "if the new topic really interests me" which emphasizes on personal satisfaction before, say, overall gain for the Maple community. This is also one of my motivation.

By the way I wonder if I wouldn't have done better to create a post rather than a question?

Sorry, I wanted to make this thread a Post (even before seeing your comment about that), but I clicked on the wrong thing and made only your latest Reply a Post. There's no way that I can undo that without making it look like I am the author of the Reply. But you can do it with copy & paste.

In my opinion, requests for open discussion of topics / questions for which there can be no definitive answer should be Posts.

@delvin If you post a Reply here, that moves this thread to the top of the Active Conversations tab; so it makes it just as visible as posting a new Question.

You should post your worksheet here because I guarantee you that I'll never look at a *.docx file.

@Zeineb The problem asks you whether there is a ring homomorphism from E to F. I haven't answered that. I merely wanted to steer you away from the incorrect idea that both E and F were fields. I suggest that you consider a function E -> F that isn't a bijection.

Letting F11 be the field with 11 elements, you define E = F11[x]/(x^2 - 5) and F = F11[x]/(x^2 - 2). F is a field, but E is not, because x^2 - 5 is reducible over F11, its roots being 4 and 7.

@sursumCorda It seems to me that the term "lexical scoping" on the help pages that you linked is being used with a different meaning than the dichotomy "lexical scoping" versus "dynamic scoping" that we're discussing here. I think that that help page is actually talking about lexical variables (not as a dichotomy) rather than lexical scoping. As the test code that I posted above shows, even Maple's lexical variables are dynamically scoped.

Although those help-page examples still work perfectly as presented, it should be noted that they're about 23 years old and were written before the existence of modules or any formal mechanism for object-oriented programming. 

I'm not sure about this, but it seems that you may be conflating external compiled code with evalhf'able code.

@hojat Please post the exact error message, or upload a worksheet showing it. While the words "could not store" may appear in the new error, I doubt that the mathematical expression shown is the same.

The three most likely causes of this error are

1. A misspelled variable name which Maple cannot convert to a numeric value.
2. A variable that you intended to assign a numeric value to, but you forgot to.
3. The presence of small nonzero imaginary parts due to decimal round-off error in a context (such as minimization) where real numbers are required. 

All of these are usually easy to correct.

I think that acer's Answer is better than mine, and had I seen it before I wrote mine, I wouldn't have answered.

@lcz The paper that I referred to above is one that you posted a link to in a previous thread:

1. Marthe Bonamy, Oscar Defrain, Marc Heinrich, Michał Pilipczuk, and Jean-Florent Raymond. Enumerating minimal dominating sets in K_t-free graphs and variants. arXiv 1810.00789