@Carl Love 

The code I posted is actually the right one.  Of  course, the varible  must be replace par t.  This is what I got:

when you look in front of it.  But when you look from a upper vieu, you get:

Wich is not a circle.

Is you plot in 3D is the sme?

@Preben Alsholm 

Yes, in P3, the upper limit is really L.  Sorry for that inconvenience.

That what happen when you cannot edit your post.

--------------------------------------
Mario Lemelin

Maple 18 Ubuntu 13.10 - 64 bits
Maple 18 Win 7 -  64 bits
messagerie : mario.lemelin@cgocable.ca
téléphone :  (819) 376-0987

I have a function:

And I want to express it this way:

where

I express this function in a complex wave:

with

and

I want to calculate the probability of P(m=3), so I need to do

And that is the integral that Maple don't do:  But if you look carefull to the integrand, you have that

when muiltiply permit me to write it this way

and you get that

and  

If I made a theoritical mistake, pleas correct me.

Thank you in advance for your helpé

--------------------------------------
Mario Lemelin

Maple 18 Ubuntu 13.10 - 64 bits
Maple 18 Win 7 -  64 bits
messagerie : mario.lemelin@cgocable.ca
téléphone :  (819) 376-0987

@acer 

Thank you for this quick response Acer

@mehdi jafari 

You took the time to help me and I am very thankful to you.

@Carl Love 

I create a matrix M as you told me (55x1).  Now I did :

>Statistcs:-QuadraticMean(M)

And get exactly the average number of counts = 100484.309.  Witch is the answer given.  Then I did the:

>StandardDeviation(M)

and BINGO, I get the 1.2891675

Congratulation Carl!  You save my day.  Thank you very much. :-)

@Carl Love 

It is the first time I try that way and in fact, it did create a matrix.  Wow!

Thank again,

@mehdi jafari 

Can you tell me how you have made a link for your two files.  I don't see no icons that I can use to link a document in my question.  Thank you for your help.

OH!  I think that you use the green upward arrow.  I remember now.  :-)

@Carl Love 

But I have no idea how he arrive at that.  I will think about it.  Have you been able to make the worksheet that I have included to work?  More over, waht do you mean to «simply paste» the data in a Matrix?

But first thing first, thank you for you quick response.

You will find the data file «DataFrequence.txt» with the 55 numbers.  Then the file I have been trying to make work «FrequencyCount»

You will note that I added a last line to close the data file.

I the text that I read, it is said that the RMS deviation from the mean of thenumber of counts = 1.28 counts.

Maybe I can place the problem in the contexte.  It is a system that count the number of  maximum of a sin wave during 1 sec.  It use an electronic wave crest counter.  The goal is to introduce the uncertainty principle.

Oups, I have just realise that I cannot attach my two files.  So here is the code:

*************

>restart;
>FileTools[Text][Open]("DataFrequence.txt");

«Error, (in FileTools:-Text:-Open) permission denied»
# I have close the file before.
>for i to 55 do A[i] := FileTools[Text][ReadFloat]("DataFrequence\
  .txt")
  od;

>for i to 55 do A[i] od;
 
>stats[describe, quadraticmean]([seq](A[i], i = 1 .. numelems(A)))
>FileTools[Text][Close]("DataFrequence.txt");
%;
Error, (in FileTools:-Text:-Close) file DataFrequence.txt is not open

**********

and the data:

100404
100485
100486
100484
100485
100485
100485
100485
100485
100485
100485
100485
100485
100485
100485
100486
100485
100484
100484
100485
100485
100484
100485
100484
100486
100485
100484
100479
100482
100482
100483
100483
100484
100482
100483
100484
100482
100482
100484
100483
100484
100485
100485
100485
100485
100485
100484
100485
100484
100485
100484
100486
100485
100485
100486

If there is another way to proceed to give you acces to those files, don't hesitate to tell me how.

Thank you in advance for your helpé

--------------------------------------
Mario Lemelin

Maple 18 Ubuntu 13.10 - 64 bits
Maple 18 Win 7 -  64 bits
messagerie : mario.lemelin@cgocable.ca
téléphone :  (819) 376-0987

Thank you both of you for your answers.  I will try zooming first and if it is not working for me, I will change it permanently.

--------------------------------------
Mario Lemelin

Maple 18 Ubuntu 13.10 - 64 bits
Maple 18 Win 7 -  64 bits
messagerie : mario.lemelin@cgocable.ca
téléphone :  (819) 376-0987

First of all, thank you acer for those manipulations.  I think that it confirm that sometimes, the students must do his part too.  I agree with the fact that sometthing should be done in that direction.  For instance, it would be praticle to be able to load the package RealDomain and then see automatic simplification (like in the equation (9) of your document).

What I will do in my webinar is to show the manipulations you did (thank you again) and then show that in some cases, you have to use your own brain.  That is the power of our mind onver the machine.

Regards,

Hum!

Maybe this was not working because I was writng (in Document mode):

subs(x´(t)=v,eqn)

Anyway, your way work exactly  as I wanted.  Thank you!

--------------------------------------
Mario Lemelin

Maple 17.01 Ubuntu 13.10 - 64 bits
Maple 17 Win 7 -  64 bits
messagerie : mario.lemelin@cgocable.ca
téléphone :  (819) 376-0987

First, the result show a (2) term under the square root.  And notice that if you do the first command, you will have:

sqrt((2))*sqrt(g/b)    (a)

But look at what happen then if I multiply (before the combine command) this result (a) by sqrt(2) :

sqrt(2)*sqrt((2))*sqrt(g/b)  (b)

Not a pretty result.   But thank you for that try.