@adel-00 Your code does correctly produce a table of [t, N'(t)] (although there are easier ways to do this). But N'(t) is never 0, and no matter how you change the parameters, it still will never be 0, for the reason Preben mentioned. N'(t) makes a slow, asymptotic approach to 0 as t approaches infinity.

@John Fredsted Maple is not going to change the user's possibly complex entry by putting Re around it. Since the entry is possibly complex, it just reverts to every Matrix entry's default value of 0. If you want nonzeros on the diagonal, then you'll need to specify explicitly real values for the diagonal.

Since you mentioned quantum mechanics, I've added physics to main post's tags in the hope that Edgardo would comment.

@John Fredsted Maple is not going the change the values of your entries. Consider the difference in the output of the following two commands:

Matrix(3, (i,j)-> i+I*j, shape= hermitian);

Matrix(3, (i,j)-> `if`(i=j, i, i+I*j), shape= hermitian);

@m-Dede Try this

if z=0 then v1:= -1 else v1:= z fi;

@m-Dede I have no idea what you're talking about. Can you give more details?

The book is extremely difficult to read. It has no mathematical typesetting; all formulae are in plaintext, not even in Latex. A huge number of words are   s p a c e d   o u t   l i k e   t h i s.

And I did not notice any Maple content, although, of course, I did not read the whole book.

@J4James I am not aware of any tool to directly put the Maple output into the Excel format, but it looks like you're well on your way to creating the tool yourself. The basic data required is all there in the solution module, as you can see. Statistics has the F distribution and a OneWayANOVA command. Note the you can use CDF instead of integrating the PDF for the t distribution.

@key01023 The matrix is still missing. Can you upload a worksheet?

@J4James Don't use whole numbers; end them with decimal points.

What is "the 'list of list'"? Could you give a example of the code to generate it? Or could you upload a worksheet?

In your Question, there is just a blank space where I think that you intended to paste a Matrix.

@J4James I'll write the code with the changeable bounds and post it as a separate Answer. In the above the, the 2,2,2,2 are not the upper bounds---they are the numbers of increments. I'll write it so that for each parameter you'll specify the upper and lower bounds and the number of increments, rather than specifying the size of the increments.

@J4James Do you mean change the 8 that is the upper bound for eta to 12?

@J4James No I don't mean that. If you want to change the lower bound from 0, that's fine. But you didn't say that before. You said from 0 to 2 with increment 0.01. The 0, the 2, and the 0.01 are all easy to change.

@Preben Alsholm What made you think of replacing (D@@2)(f)(0) with a parameter?