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by Amin
Yesterday, 6:24 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Friends, my persecution continues unabated. I continued to work today on trading models and I hope to end this work in another day or two and come back to Lahore and restart my research where I left it.  So in the evening I was working on first floor of my sister's house when my father called on pho...
by Amin
March 30th, 2023, 6:36 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Friends, after I wrote the previous post, my two nights wet relatively better and I had reasonably good sleep. But now when I came to my room to sleep from lounge where I was working, I again noticed that there is huge gas in my room.  I really want to tell friends that scumbags of American army who...
by Amin
March 27th, 2023, 10:02 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

This is a part of post 1657 written earlier and I am copying it because of its relevance. When I started telling people about mind control nobody believed me and only later most of them realized the truth about what I was trying to tell them. I want to tell friends that I would have been killed/shot...
by Amin
March 27th, 2023, 9:40 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Friends, I have to write this post in middle of the night at 1:55 AM to protest about extremely high mind control tonight and the during the day earlier. I was very tired and feeling extremely frail(as if I were 90) in the evening  and therefore decided to sleep very early. But there was some gas in...
by Amin
March 26th, 2023, 4:30 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Friends, I am travelling to Islamabad tomorrow and plan to stay there for a week. I am very sure that mind control agencies would start to drug food, beverages and water across Islamabad and Rawalpindi cities. Mind control agencies will also take other measures like possibly installing new mind cont...
by Amin
March 26th, 2023, 1:33 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Friends, I was thinking about the problem of finding the coefficients of Legendre polynomials that can well describe the data. And I had some very interesting ideas that I decided to share with friends. I will write a program based on these ideas but that might still be a week away but I am sharing ...
by Amin
March 25th, 2023, 3:25 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

From the change of variables between continuous probability distributions, we can find the relationship between standard normal density and standard uniform density ad derivatives between their variables. If [$]g(Z)[$] represents standard normal density and [$]f(U)[$] represents standard uniform de...
by Amin
March 25th, 2023, 1:37 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Again, the idea is to expand standard normal and its powers as a Taylor series in (our version of) standard Uniform variable. The derivatives of Z with respect to U of all orders required for this Taylor expansion are found by  simple analytics related to change of density derivative of standard nor...
by Amin
March 25th, 2023, 12:38 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Friends, I tried to write algorithm to compute U-series (expansion of random variables with respect to polynomial in Uniform variable) but I had little luck in devising any algorithm that works all the time. Therefore I decided to look for alternative ways to find U-series of arbitrary random variab...
by Amin
March 23rd, 2023, 7:47 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Friends, I hate to say this again and again but I would really like to tell people that bad people in American army are more determined than ever about my persecution. If they tell friends anything like that they are decreasing my mind control, they are brazenly lying and deceiving good people. They...
by Amin
March 22nd, 2023, 10:53 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Friends, since I have already worked on similar ideas related to Z-series and Hermite polynomials representation of data and I am reasonably familiar with most concepts involved, I have decided to write similar programs for U-series and Legendre polynomials including Legendre and U-series representa...
by Amin
March 22nd, 2023, 3:09 am
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Friends, my mind control continues unabated. On almost every day, mind control agents try to not let me have a deep sleep. The extent of this torture varies with my need for sleep. When I sleep late and need a good sleep to be fresh in the next day, they are very aggressive in not letting me have a ...
by Amin
March 21st, 2023, 6:48 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Just like we had with Z-series, where we calculated functions of a Z-series variable by Taylor series around median, in case of U-Series, we could find functions of a U-series variable by Taylor series around median. Variances of U-series variables could be added after conversion into Legendre polyn...
by Amin
March 21st, 2023, 6:21 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Friends, as a second thought, any Taylor expansion of data with unknown functional form should be with respect to uniform measure. In a way this should be equivalent to an expansion for data in terms of standard uniform variable U with range -1 to +1. Just like we had a Z-series when we were finding...
by Amin
March 21st, 2023, 1:30 pm
Forum: Technical Forum
Topic: Breakthrough in the theory of stochastic differential equations and their simulation
Replies: 1765
Views: 271093

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

Friends, I want to write this post to protest since crooks of Pentagon stop good people both of US and other countries to reach out to me. They immediately approach people who contact me and ask them to stop communicating with me. For the context of people who just joined this thread, I will explain...