I would keep it. Several users had firewall issues recently. 

In my case my IP was blocked but I could access other Maplesoft urls. 

It would be helpfull to post a screenshot of the firewall message.

@acer 

Yes, I misunderstood.

The 1D plaintext came from converting 2D Input to 1D with the intend to see what was behind this error message

Concering the use of atomic, I either do something wrong or my setting performs differently.

I might come back here but need some time for tests.

As always, thank you for your time!

@acer

I do not want to change the default setting as you have shown with:

Typesetting:-Settings(useprime = false)

To make sure that I understand your answer correctly. By single right quotes you do not mean

The key (on my keyboard) next to the tilde key "~" (for which I have to do Alt+tilde followed by spacebar) shows a single right quote but it does not print in Maple. In MS-Word for example it prints; see here: "´". I can paste this symbol from Word to Maple and make it work in Math-1D but not in Math-2D

Using Alt+´ followed by spacebar would indeed be easier than the keyboard acrobatics I have mentionned above. Right now I cannot make single right quotes appear and work in Math-2D.

By the way: Omitting the name quotes leads to an unpleasant overlap (yellow below) in the input and the output

whereas namequotes are visible in the input when I use atomic variables from the favorite palette.

With right single quotes from the favorites it looks better. That is already an improvement.

@GunnerMunk 

I cannot reproduce the results with capital M. Could you send a Maple file (with the green arrow) and tell us if you have used any special unit settings (like with(Units[Simple]))

From ?solve,details

The solve command returns all solutions for polynomial equations. In general for transcendental equations, the solve command returns only one solution, but does not set _SolutionsMayBeLost to true. To force the solve command to return the entire set of solutions for all inverse transcendental functions, provide the solve option allsolutions = true

I would have expected one solution without allsolutions.

This one also does not return a solution

solve(sin(x)/x)

@janhardo 

Expr := Int(1 / (sqrt(-alpha*l^2 + 1) * %sqrt(-alpha*l^2 * (x + 1)/2 + 1)), alpha = 0 .. z);
Expr = value(Expr);

All by hand...not very practical in larger expressions
Thank you

@janhardo 

Yes Il-subs is the normal form I would like to achieve. 

So far I could only achieve it by hand and making sqrt inert to prevent automatic simplification

@nm 

I was about to ask if I am the only one in need of this functionality. Since MMA has it, there must be a need.
Thanks for checking

@janhardo

The first one in this particular example. It is closer to the normalized form of first incomplete elliptic integral.

Only for information:
Ideally after further manipulation I would like the get the following displayed

However automatic simplification kicks in and prevents this by automatically factoring out 2.

@Kitonum 

That looks promissing! A magic wand command (that I was hoping for but apparently does not exist) could apply the above applyop command over all subexpression provided that a listlist of all branches of subexpressions of the "main expression" (the equation in my example) exsisted.

@Kitonum 

I was not aware of these commands. Reading the top level description of the help page I would not have guessed that they work also on square roots of polynomials. Unfortunately they are only effective on such objects.

In my original post I was looking for a command that "brushes" over a larger expression and does the extraction on every occurence of a square root that allows for such an operation. I have added an example in which the commands you provided are not effective on either side of an equation. 

I have tried to make a function out of your commands and somehow "map" it over all the subexpressions. This did not work well but maybe someone can provide a highlevel command that does it. That is where I stopped with partial success on the rhs

extract_prim := x -> content(x)*primpart(x);
applyop(extract_prim, {i $ (i = 1 .. nops(rhs(expr)))}, rhs(expr));

Too complicated IMO.

Anyway, thank you for the answer. I still hope for something better but I have doubts now. 

@sand15 @nm

It seems that the convention Maple uses (sin(phi) instead of the amplitude phi for the first argument of EllipticE) is the trouble maker when doing the integration. Without allsolutions a wrapped representation of the integral is produced. This is not what we expect for the integral. The need of using allsolutions is unfortunate to get the expected solution. 

plot(int((1 + sin(x)^2)^(1/2), x = 0 .. x, allsolutions),x=0..10);

Also the piecewise expression behind the plot is very complicated. There might be other advantages for this convention but here I do not see any. Who knows... 
I am wondering whether some of the struggles I have would not happen on other CAS platforms. 
IMO, Maple should not have returned the wrapped expression in the first place or at least give a hint to the unprepared user about the restricted domain/wrapped results (the definition section of FunctionAdvisor(EllipticE) is not helpfull in this respect) or the use of allsolutions. 

@sand15 

X0, Y0, X and Y are column vectors.

The first error message is generaded in Step 1 here

Download Compare_outputs_2015_your_version_reply.mw

@sand15 

I did not know about GPE.
Interesting approach in general. It seems to allow tuning the fit fidelty at regions of interest.

In your comments you use L as a synomym for lambda. Correct?

I am impressed by how little information is required for such a good fit. Hard to believe.

Could you have a look at the attachment. Something is not working in the proc KrigingModel. 

Download Iterative_Gaussian_Process_Emulator_2025.mw

@nm

I did not see your post. I just discovered that Windows restarted my computer. When I execute now this help page

help("ExcelTools:-Export")

and click on an error message

the help page for the error message opens.

That is strange. Since my IP adress has not changed I expected the firewall bock again. I suspected my IP adress beeing part of the problem and wanted to try accessing the help page via VPN.