As I was comparing visually the first terms of a priori identical sums produced by add , I was surprised to find them different.
So I suspected some error in what I have done, until I realized that add randomly permuted the terms.
Each term is of the form (R + P)² where R is a random number and P a polynomial.

This behaviour is illustrated in worksheet add_changes_ranks.mw and appears only when random numbers are used (provided the seed is not forced to some constant value)

Does someone ever onserved that or have any idea of what happens here (maybe this behaviour no longer happens in recent versions?) ?

Thanks in advance

I use  Maple 2015 and I try to understand how the simplification rules apply in the case of the expression 

f := n -> (ln(x)^n)^(1/n)

Here n is assumed to be a strictly positive and I consider only the cases "n is an integer" or "1/n is an integer".

All the questions are orange written in the attached file and resumed below:

1. Why simplify(f(2)) simplifies f(2) whereas simplify(f(n)) doesn't simplifies f(n) for any integer n > 2?
    
2. Why simplify(f(1/n)) simplifies f(1/n)?
    
3. Why simplify(f(3)) with adhoc assumptions returns a simplified expression of some form whereas, for any integer n > 3,  simplify(f(n)) with (the same corresponding) adhoc assumptions returns a simplified expression of a complete different form than with n=3?

Can you please have a look to it and give me some clarifications?
Simplification_rules.mw

Thanks in advance

I don't know what combination of keys I used, but I deleted all the answers and comments to this question in one go. 
https://mapleprimes.com/posts/229696-I-Find-An-Error

Can some moderator recover all of them?

Thanks in advance and sorry for the inconvenience

As I was numerically investigating this recent question I incidentally discovered a strange behaviour of Maple 2015 (which maybe exists in more recent versions?)

The attached worksheet presents an erratic behaviour (plus a remanance isssue because saving it, and opening it again changes the displays).
Note that this strange behaviour seems to occur only when tickmarks use the atomic name `#mo("2")`.

display_issue.mw

Here is a pdf print of this same worksheet: as I hope you will see (because I don't know what you are about to see when opening the attached worksheet) its content differs from the worksheet's. 

display_issue.pdf

Here are 3 screen captures which show what MY worksheet looks like

PAGE 1


PAGE 2
There is a typo in the comment below: read "void" instead of "coid", sorry for the mistake.


PAGE 3


Is this a Maple 2015 issue which has been fixed in earlier versions?
Is there a way to fix these issues?

( squircle is the humoristic name for the 2D open ball of center 0 and radius 1 in L_n norm ).
The equation of the squircle in L_n norm writes  |x|ⁿ+|y|ⁿ = 1

The attached file gives the exact values of the areas of squircles in norms L₂, L₄, L₁₀₀, L₁. 
Unless for n=2 the results are dramatically poor (evalf/Int gives the same wrong results).

The function a(n) gives the exact expression of the squircle area in  L_n norm.

squircle.mw