travelling_wave_met_karateristieken_exploreplot_via_mprimes_vraag_29-10-2025.mw

I would also like to do it via a maplet, but as mentioned earlier, this is complicated and the maplet builder is not user-friendly.

@Alfred_F
Ask copilot...
Can you provide this proof in a more mathematical way, as a mathematician would do for this question?
Or give a general proof for this question?

@Alfred_F 

AI can create surprising combinations, offer new perspectives, and help people move beyond their usual ways of thinking. It can be a catalyst for human creativity, not a replacement.

Deepseek is a good ai and free !, but limited  in use, but last weeks it is responding always.
I got the impression that Deepseek is more clever than a payd subscription i use from ChatGpt
By the way there is also a manual solution for your puzzle task , by ai  to get. 

@Alfred_F 
Using code from @ nm 
procedure_2_nuber_theory_code_gebruikt_25-1-2025.mw

AI can help you increase your knowledge of procedures in the approach and use of Maple code.

It is essentially a sparring partner.

You can focus on concepts, while the AI takes care of the detailled coding.

Maplesoft, the developer of Maple, is investing heavily in the application of AI.

@Alfred_F 
Ai generates a procedure, but it is not straight forwards as it seems , you can decipher it ?
procedure_mprimes_number_theory_25-102025.mw

@Alfred_F 
How can you make it general , this type of calculations ?

@sand15 

You also have Maplet Builder  for working in a worksheet , which should be easy to use, but because it is so user-unfriendly, it is...
- you have to memorise all the controls right away, because there is no feedback on the mapletbuilder self about their name/meaning.

- the controls in the mapletbuilder are all very small to see.
You would think it would be a piece of cake to create your GUI with the mapletbuilder, wouldn't you?

- is it possible to have a undo  ?

The teaching material is so poorly designed that even Example 1a: Simple Maplet does not mention the starting point for the Maplet Builder. 
Another clumsy feature is that you can set up your canvas via the file menu, which is called “new” in Maple.
If there's one thing I dislike, it's trial and error as a learning strategy, because it's the most unfavourable learning strategy.
Using the Maplet Builder becomes a puzzle, and that's exactly what it shouldn't be.
 

@sand15 

Thanks, that looks great in the maplet plot.
In Maple 2025, the explorer plot is larger for the plot3d structure size = [1100, 850] , so it's also a good plot.
I don't know how difficult it is to create an explorer plot or a maplet in comparison.

Creating maplets with AI did not prove successful (not with deepseek: goes very well), but that may also have to do with the fact that I have to give step-by-step instructions. But then I have to delve into the maplet code again.
You start with a blank screen and then fill in the components.
There should also be a maplet version created by you on the forum, but I can't see it?

Note: using a 10-year-old version of Maple means you're lagging behind in terms of the new possibilities

uitleegoop_prammering_3_voorbeelden_vergelijk_mprimes_20-10-2025.mw

@nm 

it was wrong about the manual as it seems,unfortunaly. 

version 3 seems to be right oop programming, ?

@sand15 
Yes, you could also enlarge the plot and then you would definitely see it. C(t,0) surface, I suppose.
Otherexample pde
exploreplotgebruiken_met_pdes_mprimes_13-10-2025.mw

SOLUTION SURFACE OF PARTIAL DIFFERENTIAL EQUATION

SOLUTION_SURFACE_OF_PARTIAL_DIFFERENTIAL_EQUATION_mprimes_12-10-2025DEF.mw

@sand15 

Thank you. It is indeed not a question, but more of a small investigation into how to deal with a PDE.

Now only for u(x,t) solutions surfaces

The plot legend now attached makes it much clearer, because the start for this PDE solution is when C(t) = 0 is an initial surface, but I do not see this initial surface in the plot?

An Explore plot would also be a good idea to see the solution surfaces for different boundary conditions.

@Rouben Rostamian  

It's all done via AI, because I'm not a experienced Maple user, as I don't have the knowledge at my fingertips at the moment.

PlotCilinderInBol(0., 1, true)

Rotating spherical surface  containing a moving cylinder 
The cylinder diameter can be adjusted and the animation can be turned on or off.

bol_en_cilinder_animatie_mprimes_10-10-2025.mw