Dear all

I have a box contains 3 red balls and 3 white balls, we select one ball three times and we define Z to be  the number of red balls selected. 
Since, we selected three times a ball and we count the number of red balls selcted after this experiment, we have 
Z(Omega)={0,1,2,3}

Now, How CAN I determine the sigma algebra generated by Z ( which is a random variable). 
The following code  calculate the sigma algebra generated by any subset  A subset of global set X , 
I would like to use it, to verify the descripted experiment in probability. 

sigma_algebra_random_variable.mw

thank you 

Dear all

I have a continuous piecewise function, but I can't evaluate its integral 

Integral.mw

thank you for your help

Dear all 
I have a function defined over the closed interval [ x[k], x[k+2] ] and zero elsewhere 
I would like to plot this sequence of function and compute an integral. 

I need your help to finish the attahced code, something is wrong. I can't  use piecewise funciton in loop and plot all functions in the same graph

piecewise_funciton_and_integral.mw

thanks for your remaks and help

Hi 

Warm greetings.

Is it possible to solve the numerical scheme present in the below paper.

Anita Chaturvedi, Kokila Ramesh, and Vatsala G A. (2017). “A MATHEMATICAL APPROACH TO STUDY THE EFFECT OF POLLUTANTS/TOXICANTS IN AQUATIC ENVIRONMENT.” International Journal of Research - Granthaalayah, 5(4) RAST, 33-38.

https://doi.org/10.5281/zenodo.803418

Thank you.

Dear all

I know how can I use gauss seidel to solve a linear system.

But, how can we add chebychev acceleration.

Thank you 

Dear all

I have a set of three element, I want to apply each step of the definition of monotone class generated by a set to obtain the element of the monotone class generated by a given set. 

The definition and condition of monotone class is added in maple worksheet. 

I hope find some steps ( using maple) that will be applied later to other problem.

Monotone_class.mw

thanks

Dear all

I can I obtain the sigma-algebra generated by a given set. 

sigma_algebra.mw

thanks

Dear all

Can I compute using maple some Riemann Stieltjes integrals 

RSI.mw

Thanks 

Dear all

I have a proc I would like to construct two vectors as output of  the proposed proc, the following code, contains  an example to illustrate this idea, 

output_pro.mw

thanks for any help 

Dear all

I have many points, and I would like to use pointplot to hold all plots in the same curve. 

plot_many_points.mw

thanks for any help 

dear all

I have a three lines of codes, used to create vectors, I would like to put these vectors in two columns and each columns has a title.

simple_code_table.mw

thank you

Dear all

I have the following code, 

for i to 6 do
for j to i do
F[i, j] :=  g(i+1)/g(j);
 end do;
end do;
How can display F as a full matrix  

Thak you for your help 

Dear all
I have an algorithm  to solve a first order odes, all steps of the algorithm ( as presented in the book are coded) but unfortunately something wrong. 
The algorithm and the code are attached in the following code. 
Thank you in advantage for your help. 

sol_odes.mw

Hello friends, I have the following problem:
I have two lists of vectors, L1 and L2. The lists have the same number of vectors, and all the vectors have the same length.
I need to check if there is a permutation that, when applied to all the elements of one list, will obtain all the elements of the other list. For example, consider the following lists :

L1:=[<0|0|0>,<2|1|2>,<1|2|1>];
L2:=[<1|1|2>,<2|2|1>,<0|0|0>];

In this example the vectors are of length 3. Therefore, there are 3!=6 possible permutations. Namely:

P1:=<<1,0,0>|<0,1,0>|<0,0,1>>;
P2:=<<0,1,0>|<0,0,1>|<1,0,0>>;
P3:=<<0,0,1>|<1,0,0>|<0,1,0>>;
P4:=<<0,0,1>|<0,1,0>|<1,0,0>>;
P5:=<<0,1,0>|<1,0,0>|<0,0,1>>;
P6:=<<1,0,0>|<0,0,1>|<0,1,0>>;

In this case there are two permutations that satisfy the condition above, namely:

P3:=<<0,0,1>|<1,0,0>|<0,1,0>>;
P6:=<<1,0,0>|<0,0,1>|<0,1,0>>;

Cause

for i in L1 do Multiply(i, P3) end do;
>[0 0 0]
  [2 2 1]
  [1 1 2]
 
The same result is obtained using the permutation P6.
I'm working with larger lists and longer vectors so I'm looking for a quick way to check this. Thanks for your valuable help.

Hi all,

I want to verify the sum of associated Laguerre polynomials as shown in the picture below. I have tried numerical, but I am struggling with the syntax.

Anyone know how to do that?