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These are replies submitted by sand15

@Mariusz Iwaniuk 

Is this one correct ?
(I think one should plot func and not ifunc)


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


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