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by Amin
Today, 8:50 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I really try to keep myself to my research and really do not want to write about other things. But I am really forced again and again to speak about it. Now nexus (nexus is between evil people who can possibly be muslims, chrisitians, jews or anyone else as long as they are evil) of evil je...
by Amin
March 26th, 2024, 12:09 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I have been exploring the application of our orthogonal polynomials research to Quantum mechanics and Quantum many body systems.  One of the most important reasons behind the success of my previous work with solution of stochastic processes with Hermite polynomials was that I introduced sep...
by Amin
March 25th, 2024, 3:51 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I am posting the fully commented version of the main function. I am copying some of the main comments outside of the program first. This functions takes as arguments joint observations of NDim correlated  random variables.  And returns a multidimensional hermite series in NDim dimensions ex...
by Amin
March 24th, 2024, 6:59 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

. Americans should ask their Supreme Court to make a judgement and clearly outline whether extra-judicial mind control and forever retarding of innocent civilians by American defense can be authorized by American constitution. Can American defense ever be allowed to retard even one innocent and law...
by Amin
March 23rd, 2024, 12:51 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, after posting the commented version of the new program tomorrow, in a few days, we will move on to playing with the Jacobi polynomials in statistical setting as we have already done with hermite polynomials. If we could successfully solve the associated problem related to jacobi polynomials...
by Amin
March 23rd, 2024, 12:43 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I am copying this relevant post that shows how to calculate two dimensional jacobian that relates the true two dimensional desnity to two orthogonal standard normals density. Here:  https://forum.wilmott.com/viewtopic.php?t=99702&start=1980#p876938 Since in our latest program, we have N...
by Amin
March 23rd, 2024, 12:33 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

After construction of Ideal Normal Density with N grid cells, we notice that discrete moments calculated from the values, Zn, associated with the centers of each nth cell deviate slightly from the true moments of standard normal density. We want to alter values of centers Zn of these grid cells very...
by Amin
March 23rd, 2024, 12:10 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I would most probably be posting the new commented program tomorrow. In the meantime, I want friends who had been following the thread only recently to get familiar with polynomial regression as I have done in the context of current program.  First we regress each random variable on "I...
by Amin
March 23rd, 2024, 6:16 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Americans should ask their Supreme Court to make a judgement and clearly outline whether extra-judicial mind control and forever retarding of innocent civilians by American defense can be authorized by American constitution. Can American defense ever be allowed to retard even one innocent and law ab...
by Amin
March 22nd, 2024, 9:45 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Before writing this post, I want to apologize to good jews but want to tell them there are enough evil jews who are doing everything to tarnish the great goodwill jews have so rightly earned through generations of hard work and being nice and kind to other people in the society. I want to request go...
by Amin
March 22nd, 2024, 9:43 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

As I wrote in previous post that I will copy some of my previous posts that give good American people and people from all over the world an idea what happens to a mind control victim and how is the life of a mind control victim. Below is a post when I wrote around Christmas when Lahore city was thor...
by Amin
March 22nd, 2024, 9:21 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I want to speak my mind more openly and candidly about evil of mind control and please forgive me if I lose political correctness while trying to speak the truth.  First please let me give an idea about scope of mind control by corrupt American defense. In my country Pakistan, anywhere betw...
by Amin
March 21st, 2024, 8:15 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

I have been thinking how to take the research forward and one possibility I have been able to think is that we would start doing analytics with Jacobi polynomials. We will have to choose an appropriate problem to solve with jacobi polynomials. We will have to write simple programs for calculation o...
by Amin
March 21st, 2024, 7:45 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, with all of this high dimensional hermite series analysis of random variables, we can do a large number of very interesting things that were previously done by people using AI in a half-baked way. For example if you want to predict stocks the next day you can use data from past four days a...
by Amin
March 20th, 2024, 9:35 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 2261
Views: 437510

Re: Breakthrough in the theory of stochastic differential equations and their simulation

Friends, I will post the final commented version of the multidimensional density matlab program on this weekend. I have been thinking how to take the research forward and one possibility I have been able to think is that we would start doing analytics with Jacobi polynomials. We will have to choose ...