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These are replies submitted by sand15

It's me again...

I used CurveFitting:-Spline with degrees 1 and 3, and CurveFitting:-PolynomialInterpolation with different values for the option 'form'.
In all the cases i get no error but the method seems to diverge.
More precisely, in my first answer I had plotted only  [sinh(x), ifunc(1)(x)]  and  [sinh(x), ifunc(2)(x)]  and it looked well ( ifunc(2)(x) was closer too sinh(x) than  ifunc(1)(x) was).
I pushed a little bit forward by plotting  [sinh(x), ifunc(4)(x)]  ... and  ifunc(1)(x)  looks like some kind of parabola A*x^2 with A < 0 !!!

Maybe I did inadvertently some mistake when I modified your code ????


With the correct values of X and Y fsolve('DetKFF(z)', z=0.1) should return 0.362284....



As vv said "You are not allowed to expand like this.".

More generaly, a sequence S of terms can be convergent even the sequences build from parts of the terms are not.

Take this far-fetched exemple :
S[n]=n-n  for n >=0 ...  obviously S "converges" to 0
Write S as U+V with
U[n]=n and V[n]=-n 
Then U and V both diverge and S=U+V seems to be undefinite (+infinity)+(-infinity)



My mistakes:

  •  You also have a syntax error in f()  [a ":" after proc()  not accepted in 1d].
    Appologies, I rewrote the content of a pdf file; in the code the ":" are not present after proc()
    (furthermore it generates an error if there is a delcration statement after the "proc" line, for instance local ....)
  • I effectively made a mistake by tipping args(k) instead of instead of arg[k] (furthermore I knew the sorrect syntax
    Strangely it seems to be correctly interpreted by Maple 2015: printing the quantity named "objet" returns the correct name
  • Last but not least: One more time I have forgotten that names constructed with "||" are global !!


Then the answer is: either I use the awfull sequence
    if n=1 then print(Object1)
  elif n=2 then print(Object1)
  end if

or either I construt a list ObjectList:=[Object1, ...ObjectN] and a list ListA := [A] and I do this

 Choice := proc(a::list)
  local n, object:
  n := ListTools:-Search(true, a):
  object := ObjectList[n]
end proc:

Thank's for your answer, even if it is not always pleasant to be remembered we are an airhead !


"  The advantage(?) of doing it this  ...": right, it seems a better (the only one?) way to manage "pseudo axis"

By the way: I did a mistake in my original post.
I wrote

  • the empirical marginal distribution of X (Histogram), put below the line "y = min({y[n], n=1..N} )" and rotated by 180 degrees

In fact I should have written:

  • the empirical marginal distribution of X (Histogram), put below the line "y = min({y[n], n=1..N} )" and SYMMETRIZED around the x axis

A simple task to do with plottools:-transform
reflection := plottools:-transform((x,y) -> [x, -y])

From now on the two histograms are placed correctly by using only plottools:-transform ... you deinitely gave me a good advice.


It's good enough for me.

By the way, where did you find this stylesheet = [vertexcolor = "White",vertexborder=false]) info ?

Thanks again



Correction: CTRL+J doesn't work.

Thank you anyway

"Do you mean the vertical bar at the location of the cursor? " : Yes,

The problem is now solved (see my previous "auto-answer"), but I'm keeping by my side your "control-J" trick ... for the last time.
Thanks for the answer



  1. I opened the worksheet "W"  with an older Maple version (Maple 2015): it contained the vertical location bar
  2. I saved it with another name
  3. And finally opened this new fir with Maple 2018 ... and this bar was miraculously restored !!!

I let the people in charge of this site to decide for themselves  if this question/auto-answer must be retained or removed

@Carl Love 


I used your last version of NimMatrix with parameters 5, 5  (NimMatrix(5,5))

Procedure 1 :
 T := NULL;
for r from 1 to 100 do
   T := T, CodeTools[Usage](Code(...), output=cputime)  # from your answer to the "other" thread
end do:

Procedure 2 : (from acer's suggestion)
 CodeTools[Usage](Code(...), output=cputime, iterations=10

  indicator                Proc 1                   Proc2            

 cpu time/run             16.9 s                     32.75 s             

memory size            0.95 GiB                  0.95 GiB

I repeated this twice and obtained the same ratio of 2 between the cpu times.
For proc1 the 10 times range between 15.49 s and 18.08 s

For "My best code" chich uses no sophisticated material nor the option remember, the cpu times are the same (up to unavoidable fluctuations) with proc1 and proc2.

Then : what is the cpu time (16 s or 32 s) I have to take to do an OBJECTIVE comparison ???




Thank you acer.
I've read the help pages but I missed apparently this "iterations" option

@Carl Love 

Procedure used to evaluate the cpu time (see my brevious reply)

T := NULL;
for r from 1 to 100 do
   T := T, CodeTools[Usage](Code(...), output=cputime)  # from your answer to the "other" thread
end do:

CONDITIONS : BASE = 5, K = 3 (==> NimMatrix(5, 3))

The results (Maple 2018 / Windows 7) are
"NimMatrix lastversion"    14.35 ms / run
"NimMatrix first version"   23.56 ms / run
"My best code"                         46.90 ms / run

@Carl Love 

It works well in Maple 2018.
I did probably some mistake when I used this with the older Maple's versions
(I guess you're going to think I'm familiar with that...)

@Carl Love 

I tried this but it didn't work (I used Maple 2015 ... or maybe 2016 ?)
I'm going to try again with Maple 2018 newly installed on my PC.

BTW : I just sent you two replies on the "unconventional addition" thread


@Carl Love 


I did not want to sound offensive.
Put all this on blunders due to the fact that English is not my native language. Words do not have the same harshness from one language to another.

About the way I stated the problem there are, I agree, a lot of things to say and I recognize willingly that I should have done better

And don't go thinking that I'm one of those people who never admits to having made an error.
I can ensure you I never thought this about you

So, I'm sorry if I have hurt you.
Leave it there and recieve my apologies

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