Have you tried it and got any usefull answer? Look at this

This is what you get when you ask Chat GPT directly and it is not working in Maple. Maple's AI assistant is better in the sense that it does not give you wrong commands (for this example). You get trig identities for simplifcation but no commands.

@Carl Love  @Thomas Richard 

I have never seen combine from this perspective (making arguments more complicated). For me it was so far the inverse operation of expand, which I learned now is not the case for ordinary polynominals. I did not pay attention to this.

Expand most of the time enlarges expressions in size, which is not the case for the example above. Common sense interpretation fails in this case.

Altough I do not often use the context pannel, it gives a quick overview about "what could be tried else" before consulting help pages. In this case the context pannel was indeed proposing the effective command, which I did not try because I though it must be expand,trig (i.e. the opposite of combine,trig). I am not sure if expand,trig is needed at all in newer versions of Maple.

In this case even combine,trig is not needed but offered by the context pannel:

   Using commands expand does the inverse of combine

   Using the context pannel expand does the inverse of combine,trig

I still think simplify or simplify,size or simplify,trig are worth discussing as supplementary ways but leave this open for annother time.

Thank you for clarifying.

@nm 

Actually I tried simplify first. I missed to say that to expand cos(x)^2 one must use combine,trig, which is also counter intuitive and feels inverted. New user should at least get a solution from the context pannel and by doing so learning the seemingly inverted commands for this case. The context plannel is a good way to learn Maple.

As you said, it required some tries for me to get the desirded transformation.

@nm  I used

https://learn.microsoft.com/en-us/sysinternals/downloads/process-explorer

@nm 

You said:

If the problem with the graphics adaptor, then I would see this in other applications, right? But it is only Maple which does this. But restarting Maple fixes it for few hrs until it happens again.

I don't think so. You can expect to see it in other applications running under under the same JDK

which interfaces to the operating system. E.g. an older version of Maple.

I would check also whether the drivers are updated. (If this has an effect, it is not Java) 

If the same system did not show this before, I think it has something to do with the windows installation.

Could you check in the device manager which graphic apaters are available and properly installed.

If NVIDIA is installed you can check/modify in the NVIDIA control panel prefered graphic processors.

In the taskmanager you could also check if a GPU is used for Maple.

@Carl Love 
Do you use any non default GUI options?

If it is that frequent for you, you could maybe test

• if cursor control of menus works. I.e.: does arrow right on your keyboard opens the sub menues.
• does my workarround also work for you
• does it depend on the mouse you are using (I don't think so, but I am waiting for an occasion that I can check myself)

Update. I could test:
Menus can still be controlled with the keyboard cursor.
I could not see a dependency on the computer mouse.

In your worksheet solve returns the 3 roots of period_eqn.
One real valued and two complex solutions.

Maybe its clearer this way
 

Download hw8_reply.mw

@vv 

Not in 2D (what I tried before asking). Thanks

@Axel Vogt 

This is what I meant: the File Explorer of Windows.

Before Windows 8, the File Explorer was termed Windows Explorer.

I will correct this.

@Carl Love 

I could not paste it as 1D. Pasting it in a Codeedit region works and produces a list of all files. 

Thank you for the answer.

I could not figure out what "?:=" does. Is that documented?

@zenterix 

The only documentation I read was the programming guide. To me it is more than a programming guide because it explains for a good extend Maples foundation. Maybe you should ask for a recommendation in a separate thread.

@salim-barzani 

Generate a plot for each parameter and then use plots:-display to plot all in once. Additionally you can use the legend option to label the plot, see ?plot,options

@salim-barzani 

I do not have time to look at it. What I see from the screen shots is that the solution does not look strucurally identical

I those situations I would enter the text book solution first and see how it plots. Then I would investigate the own solution.

@nm 

I am not aware of such a setting but I see that it could make sense as a GUI option. Maple has control over the cursor position since it is needed for editing. I assume that the initial cursor setting is unsing a Java default. Only Maplesoft can tell if this is correct.

Rondom jumps of the cursor position is something which should not happen. Maybe it is the cause that I get from time to time a split of 1D input into two lines of an execution group. I.e. enter is working as "shift enter" and creates a new line inside and execution group. I have to use "!" to execute. I never understood  why and when this happens.