Not something I do often/at all, but I have just tried this on one of my own worksheets, which happens be to split into mutliple sections, using Maple 2018.1 running on 64-bit win7 everything works as I would expect (more or less)

1. F11 goes to slideshow mode: NB it "fullscreens" the Maple worksheet, with not even sheet borders visible
2. I can step through slides using keyboard 'arrow' keys - not sure why but my first "instinct" was to use 'up' and 'down' arrows, but (rather obviously) left and right keyboard arrows are required to change 'slides'
3. The 'Esc' key exits the fullscreen/slideshow mode.

I'm not generally convinced how useful this slideshow mode actually is

A single 'slide' is a Maple 'section', and if the latter is 'too long' to fit the slide, then it is simply truncated - not great. On balance I think I would prefer to fullscreen the Maple worksheet and then use 'Page Up' and 'Page Down' from the keyboard. Obviously this means that one still has the worksheet borders/toolbars etc, but there is no requirement for the Maple worksheet to have (appropriate length) sections

I know nothing about "Ising models", but it seems to depend on a random matrix populated with entries from [-1, 1], together with a "nearest neighbour" interaction function.

Provided that the interaction function is "scalar", then the attached ought to provide a start. You will have to provide a definition for this function; I have just used the general f(arg1, arg2).

(If the "interaction function" is vector-valued on nearest neighbours, I'd want to think a little more!)

Download ising.mw

Since you can trivially isolate the second derivative from the original ODE, all you have to do is to plot/calculate the relevant function,

ie y(t)-t*sin(5*t)

as in the attached

Download odeProb.mw

redefines the function Sum(), so the minute you enter

with(SignalProcessing)

then Sum() will refer to the command SignalProcessing:-Sum()

If you need to access the "original, worksheet/default" Sum() command, then precede it with :-, as in teh following

restart;
with(SignalProcessing):
Sum(q^n, n=1..infinity); # this will error!!
:-Sum(q^n, n=1..infinity);  # but this won't

Another "workaround" - which really shouldn't be necessary!

Download anim.mw

as in the attached worksheet.

Notice that rand() essentially calls RandoomTools:-Generate() with some simple options (eg a unifomr distribution, etc). More control over the generation process can be obtained by calling RandoomTools:-Generate()  with specifc options

Download getRand.mw

what you are trying to achieve. The ArrayTools:-Alias() command would normally be used to access "sub-arrays" of a Matrix/Vector, or perhaps a "re-ordering" of that Matrix/Vector. You appear to be creating a new 3-D Array.

Consider both of the methods in the attached - do you really need the first rather than the second?

Download AT.mw

which fail to address the basic issue.

For the OP's problem

Maple 18     is just plain wrong
Maple 2015 is just plain wrong
Maple 2016 is just plain wrong
Maple 2017 is correct
Maple 2018 is just plain wrong

See the attachments below

Download prec2018.mw

Download prec2017.mw

Download prec2016.mw

Download prec2015.mw

Download prec18.mw

in what format you want the resulting roots. I actually found it simpler to define your 'map' as a vector with three entries, then it is simple to obtain 'roots' as a vector with three entries.

When you want to all possible values of expressions involving RootOfs - then the allvaalues() command is usually the way to go.

See the attached

Download roots.mw

There is a "time-honoured tradition" in Windows applications that any menu entry can be acessed by using the Alt key followed by the underlined character in the menu name , followed by the underlined character in the menu entry (which may result in a sub-menu) and so on ad infinitum.

Adopting this approach, enclosing something within a section becomes

1. Select what you want to be in a sub-section
2. Alt+I+S (that's Insert->Section)

If you just use Alt+I+S without selecting anything, then Maple will insert a new section after the current cursor position.

In fact this is such a common thng to do, that

1. it has its own toolbar icon - try entering 'worksheet toolbar' in the Maple help search field, to see what all the toolbar icons actually do.
2. It also has a "Maple-specific" shortcut CTRL+. (that's CTRL+period). You can see this "Maple-specific" shortcut by entering 'worksheet hotwin' in the Maple help search field

"Maple-specific" shortcuts is a bit of misnomer, because some of these are not specific to Maple -some of them are just stuff you would expect to work.

As a trivial example take cut+paste: using the menu-search method described above, this would be Alt+E+t followed by Al+E+P which does work, but I'm guessing that you (like me!) would prefer CTRL+X/CTRL+C, so obviously Maple implements this as well

Expanding and collapsing sections

In the Maple Help window, that would be View->Expand All Sections, or Alt+V+E. This does illustrate a minor issue with this "traditional" menu-search method, because the same operation in a Maple worksheet window would be View->Sections->Expand All Sections, which would be Alt+V+i+E. Nothing much can be done about this: different windows will have different menus, with different entries, so the keyboard sequence for the same command may be different:-(

I have been unable to replicate the problem of 'clicking' on the section marker to open/close. For me this always works: can only suggest a better mouse?

is a command in the signal processing package.

If you wish to use the "default" meaning for Sum() whilst having the Signal Processing package loaded, then prefix the command with ':-', as in the attached

Download sumTrouble.mw

1.  That is, Sum(....), rather than sum(...)
2. if subsequently, evalf(Sum(...)) leads to a complex value then there are two possibilities
   1. something about the summand means that complex values are unavoidable
   2. if the sum *shouldn't" return a complex value, then it is possible that some combination of simplify() and evalc() will "remove" the maginary term
3. One can (usually) differentiate an infinite inert sum - although this will probably depend on the nature of the summand, so, for example, the following "toy" example will work

S:=Sum(x^2/n, n=1..infinity);
diff(S, x);

Difficult to be sure about any/all of the above unless you upload a specific example

It really ought  to be possible to achieve this using the location sub-option of the axis[1] option, ie

plot(.......axis[1]=[location=0.0]

but the location sub-option does not accept a numeric value ;-(

Even setting the combination smartview=false, axis[1]=[location=origin] won't help ;-(

So I see no option but "spoofing" it by defining an "additional" function whose value is zero for all x. This will plot an extra curve along the x-axis, but you can ensure that this is "invisible", by setting its color=white. Clunky, I know: see the attached

Download plotAxis.mw

but also the Physics:-Setup() command appears to be more sensitive (than I would expect) to the order of declaration of its options

Syntax issues are stuff like sin^2*theta, rather than sin(theta)^2; use of e^ rather than exp(), and maybe a few othere which I have forgotten.

Having fixed the above the attached shows eight possibilities for the required Setup(), four using 1-D match input (becuase this was how I debugged your problem) and four using 2-D math input.

I would have expected all of these to work, but only half of them do. I can only assume that this has something to do with the "order" in which options passed to the Setup() command are processed.

Download PhysicsSetup.mw

See the following "toy" example

Download NULLroots.mw