Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

Does MAPLE natively work while using a VPN? If not, where do I go to learn how to configure it so it will work using a VPN? In MAPLE 2025 and MAPLE 2026, MAPLE will soft-lock when when attempting to execute any worksheet or attempting to read any help section when using a VPN under the default configuration configuration of MAPLE. 

...like the following without AI assistance ? Looking for differentiable solutions! The solution is not to be found in the books by Aczel or Small: L(x)*L(y) = L(2*x*y + x + y). (I know the stressful solution from my notes - the ones made with pen and paper.)

Is there a way in Maple to categorize functional equations into specific classes (e.g., Cauchy type) - and thereby identify corresponding solution methods - much like how Maple handles the solving of ordinary differential equations?

Given the sequence L = [1,3,5,7,9,11,13,15,17,19],

how can I find a recurrence relation using only the values:

L[2] = 3, L[5] = 9, L[7] = 13, L[8] = 15, L[9] = 17, L[10] = 19 ?

For those who are familiar with the long history of the Maple Conference, you’ll know that we vary the format from time to time, and for the next conference, we'll be trying something new!

The next event will be a user conference, strongly focused on enabling Maple users to get the most out of Maple, increasing their knowledge and abilities through a series of technical talks by Maple experts. We’ll release more details later, but our main goal is to engage with and support the many customers who love Maple and want to learn how to do even more with it. This event will be held in the spring of 2027, which we hope will be a convenient time for those who find it difficult to attend a fall event.

Another aspect of past conferences has been the opportunity for users to share their work with the Maple community. We'd like to remind you that the Maple Transactions, an open-access online journal, is an ideal place to publish your work, and you can see an overview of the journal in this short video. If you prefer a less formal venue, we encourage you to post right here on MaplePrimes to share your work and interact with the community.

We will share more details as we get closer to the event. For now, we just wanted to give you an idea of the plans, as we know that many people look forward to the Maple Conference and expect to hear from us around this time.

While practicing with the "identify" command, I came across the question:

Does Maple offer a way to determine the generating rule for a sequence of numbers given by a finite initial segment?

Here is a riddle for this:

The sequences {s_n} = 1/1; 1/2; 1/3; ... and {t_n} = 0/1; 1/2; 2/3; 3/4; ... have the formation rules

s_n = 1/n and t_n = (n-1)/n.
What is the formation rule for the sequence {u_n} = {s_n; t_n} formed by alternating between the two?
Note: The solution is not u_2n = t_n and u_(2n−1) = s_n. Rather, the goal is to find a single, unified formation rule u_n that yields the terms of the combined sequence for n = 1; 2; 3; ...

How would one go about querying AI in Maple?

If I compare Maple 2024 and Maple 2022 on the exact same worksheet, Maple 2022 executes twice as fast as Maple 2024.

For my kind of work this is very serious. I have programs that can take 10 or more days to complete calcuations, therefore what Maple 2022 will calculate in 10 days, Maple 2024 takes 20 days. It has wasted a LOT of my time, whatever the reason is.

Here is the code: 
1) MM must be a high order series expansion with complex arguments so that simplification is not trivial. Use any such asymptotic expansion.
NOTE: I can supply an expansion for a developer through official Maple support, but cannot release it publicly as it is part of a future publication. It is easy enough for anyone to create a complex expansion, with difficult simplification.
2) The simplification of the expansion must at least take a couple of minutes at e.g. Order=10 for the comparison to make sense.
3) Then run the program for Maple 2022 and Maple 2024 respectively and note execution time.
4) This was run on Linux.

As you will see the Maple 2024 calculation takes twice as long as the Maple 2022 calculation. 
SEE RESULTS AT END OF PROGRAM.

testorder:=6;                             # Enter the expansion order here.
MM:=??:                                   # Enter the expansion here.
series(MM, x = 0, testorder):
convert(%, polynom):
map(simplify, %):
#collect(%, x, simplify):
simplify(%):

                        testorder := 6

RESULTS:

OPTION1 Calculation time for series MM,

Maple 2024
O(4):   Linux Wall-Clock Time: 1.000 seconds
O(6):   Linux Wall-Clock Time: 11.000 seconds
O(8):   Linux Wall-Clock Time: 153.000 seconds
O(10): Linux Wall-Clock Time: 2135.000 seconds 
O(12): Linux Wall-Clock Time:  19593.000 seconds

Maple 2022
O(4):   Linux Wall-Clock Time: 0.000 seconds
O(6):   Linux Wall-Clock Time: 9.000 seconds
O(8):   Linux Wall-Clock Time: 88.000 seconds
O(10): Linux Wall-Clock Time: 1062.000 seconds 
O(12): Linux Wall-Clock Time: 8987.000 seconds

I tried to copy a snippet of a maple command from a worksheet and paste it elsewhere in the worksheet and it was transformed into document form. I could not figure out how to fix that.It was worthless to me. For example, in the command I had "eval(f, [y=1,d=3])" and it became f| with the subscript y=1,d=3.

Also, I wrote "parametr" in a procedure and Maple rejected the command with a vague complaint. OK, my bad; garbage in garbage out, parameter not parametr, etc. BUT this is 2026! Autocorrect features have been around for years. Underlining of strange spellings are standard on word processors, phones , etc. Can't Maple catch up? 

With thanks for the advice regarding quadratic Diophantine equations and tabulation, here is a little puzzle:
For a rectangular cuboid, the length of the space diagonal is known to be 90 cm and its surface area 8800 cm². Determine its integer edge lengths.

Is Maple 2026 compatible with Mac OS27.1 ___________________________________________________________

In the attached file, I would like to create a table of values ​​(k,f(k),g(k)) for the functions f and g for, e.g., k=1..10. I would appreciate your help with this, as f and g refer to reciprocity in their expressions.

test.mw

I want to do some timing tests on a bunch of procedures in a module, some of which call others, so I do not get the true timing I want - see attached.

Download Timing.mw

How to solve this Diophantine equation?

x^2-12*x*y+6*y^2+4*x+12*y-3=0    ?

I would appreciate some advice.

I am attaching two worksheets.  The first worksheet titled testflaw shows the original state of a module. The module in the startup code area contained two exported variables which were never implemented. The module had been used in testing the code.  The second worksheet testflaw2 shows the result after deleting the exported variables. (AsTable and TestAssociativity).  Note that when the worksheet opens a typesetting error code occurs.  It appears that the typesetting routines retain knowledge of the exported variables even after a Restart command.  

testflaw.mw    

testflaw.mw

I would like to have a list of sets and parallelize the same operation performed on each list. Any suggestions on how to do this? Thanks in advance.

Asking the small model (without including a worksheet)

what does x || (a, b, c) := y =~ x ^~ (1, 2, 3)

throws this error

Is that error message reproducible on other installations? Should be. 
Warning: The same question to the large model ate up 100000 credits. I added two more questions about operator precedence:

Reminds me of playing pinball when I was young. Either it tilts or you run out of money pretty quickly ;-)

Joking asside, any suggestions to improve my prompting to make the small model produce a correct answer?

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