In this post about a non-linear system of equations solutions were sougth. It turned out that there were no non-trivial solutions for the given numerical values. However, with different numerical values there should be solutions.

In analogy to the fundamental theorem of algebra (which clearly states the number of roots),
I wonder if Maple provides commands that can estimate an upper bound of roots/solutions for a system of multivariate equations by analysing the structure of the system of equations rather than attempting to solve it.

I am not sure if rules, methods or theorems exist at all for multivariate problems. Maybe it is a stupid question but for me this was non-trivial for the case given above.

I am looking for something similar to color functions of plot3D. plot.options is directing me to plot,color where I cannot find an example. I tried

plot(floor(x),x=-3..3,color=floor(x))

Error, (in plot) invalid color specification: floor(x)

On a Windows 10 installation with

I get after system restart and Maple launch

followed by

What could be the cause that the update is not downloading and how to fix it?

I am trying to understand under which conditions submenus disappear.

Now I have seen that the context panel is empty when submenues disappear.

Has anybody noticed the same and are there other instances when the context panel is emtpy?

Both effects could have the same rootcause.

Here is an example:
A -> no submenu

B -> Empty context panel

C -> Menu appears inside workspace (first time I see that)