Hello,

More of my philosophy about non-linear regression and about technology and more of my thoughts..

I am a white arab, and i think i am smart since i have also
invented many scalable algorithms and algorithms..

I think i am highly smart since I have passed two certified IQ tests and i have scored "above" 115 IQ, so the R-squared is invalid for non-linear regression, so you have to use the standard error of the estimate (Mean Square Error), and of course you have to calculate the Relative standard error that is the standard deviation of the mean of the sample divide by the Estimate that is the mean of the sample, and i think that the Relative standard Error is
an important thing that brings more quality to the statistical calculations, and i will now talk to you more about my interesting software project for mathematics, so my new software project uses artificial intelligence to implement a generalized way with artificial intelligence using the software that permit to solve the non-linear "multiple" regression, and it is much more powerful than Levenberg–Marquardt algorithm , since i am implementing a smart algorithm using artificial intelligence that permits to avoid premature
convergence, and it is also one of the most important thing, and
it will also be much more scalable using multicores so that to search with artificial intelligence much faster the global optimum, so i am
doing it this way so that to be professional and i will give you a tutorial that explains my algorithms that uses artificial intelligence so that you learn from them, and of course it will automatically calculate the above Standard error of the estimate and the Relative standard Error.

More of my philosophy about non-linear regression and more..

I think i am really smart, and i have also just finished quickly the software implementation of Levenberg–Marquardt algorithm and of the Simplex algorithm to solve non-linear least squares problems, and i will soon implement a generalized way with artificial intelligence using the software that permit to solve the non-linear "multiple" regression, but i have also noticed that in mathematics you have to take care of the variability of the y in non-linear least squares problems so that to approximate, also the Levenberg–Marquardt algorithm (LMA or just LM) that i have just implemented , also known as the damped least-squares (DLS) method, is used to solve non-linear least squares problems. These minimization problems arise especially in least squares curve fitting. The Levenberg–Marquardt algorithm is used in many software applications for solving generic curve-fitting problems. The Levenberg–Marquardt algorithm was found to be an efficient, fast and robust method which also has a good global convergence property. For these reasons, It has been incorporated into many good commercial packages performing non-linear regression. But my way of implementing the non-linear "multiple" regression in the software will be much more powerful than Levenberg–Marquardt algorithm, and of course i will share with you many parts of my software project, so stay tuned !

More of my philosophy about C# and Delphi and about technology and more of my thoughts..

I invite you to read the following article:

Why C# coders should shut up about Delphi

Read more here:

https://jonlennartaasenden.wordpress.com/2016/10/18/why-c-coders-should-shut-up-about-delphi/

More of my philosophy about Delphi and Freepascal compilers and about technology and more of my thoughts..

According to the 20th edition of the State of the Developer Nation report, there were 26.8 million active software developers in the world at the end of 2021, and from the following article on Delphi programming language, there is 3.25% Delphi software developers this year, so it is around 1 million Delphi software developers in 2022. Here are the following articles, read them carefully:

https://blogs.embarcadero.com/considerations-on-delphi-and-the-stackoverflow-2022-developer-survey/

And read here:

https://www.future-processing.com/blog/how-many-developers-are-there-in-the-world-in-2019/

I think i am highly smart since I have passed two certified IQ tests and i have scored "above" 115 IQ, of course that i have already programmed in C++, for example you can download my Open source software project of Parallel C++ Conjugate Gradient Linear System Solver Library that scales very well from my website here:

https://sites.google.com/site/scalable68/scalable-parallel-c-conjugate-gradient-linear-system-solver-library

But why do you think i am also programming in Delphi and Freepascal ?

Of course that Delphi and Freepascal compilers support modern Object Pascal, it is not only Pascal, but it is modern Object Pascal, i mean
that modern Object Pascal of for example Delphi and Freepascal support object oriented programming and support Anonymous methods or typed Lambdas , so i think that it is a decent programming language, even if i know that the new C++ 20 supports generic Lambdas and templated Lambdas, but i think that Delphi will soon also support generic Lambdas, and in Delphi and Freepascal compilers there is no big runtime like in C# and such compilers, so you get small native executables in Delphi
and Freepascal, and inline assembler is supported by both Delphi
and Freepascal, and Lazarus the IDE of Freepascal and Delphi come
both with one of the best GUI tools, and of course you can make .SO, .DLL, executables, etc. in both Delphi and Freepascal, and both Delphi
and Freepascal compilers are Cross platform to Windows, Linux and Mac
and Android etc. , and i think that modern Object Pascal of Delphi
or Freepascal is more strongly typed than C++ , but less strongly typed than ADA programming language, but i think that modern Object Pascal of Delphi and Freepascal are not Strict as the programming language ADA and are not strict as the programming language Rust or the pure functional programming languages, so it can also be flexible and advantageous to not be this kind of strictness, and the compilation times of Delphi is extremely fast , and of course Freepascal supports the Delphi mode so that to be compatible with Delphi and i can go on and on, and it is why i am also programming in Delphi and Freepascal.

And you can read about the last version 11.2 of Delphi from here:

https://www.embarcadero.com/products/delphi

And you can read about Freepascal and Lazarus from here:

https://www.freepascal.org/

https://www.lazarus-ide.org/

More of my philosophy about Asynchronous programming and about the futures and about the ActiveObject and about technology and more of my thoughts..

I am a white arab, and i think i am smart since i have also
invented many scalable algorithms and algorithms..

I think i am highly smart since I have passed two certified IQ tests and i have scored "above" 115 IQ, i think from my new implementation of
future below, you can notice that Asynchronous programming is not a simple task, since it can get too much complicated , since you can
notice in my implementation below that if i make the starting of the thread of the future out of the constructor and if i make the passing of the parameter as a pointer to the future out of the constructor , it
will get more complex to get the automaton of how to use
and call the methods right and safe, so i think that there is
still a problem with Asynchronous programming and it is that
when you have many Asynchronous tasks or threads it can get
really complex, and i think that it is the weakness of Asynchronous programming, and of course i am also speaking of the implementation
of a sophisticated ActiveObject or a future or complex Asynchronous programming.

More of my philosophy about my new updated implementation of a future and about the ActiveObject and about technology and more of my thoughts..

I think i am highly smart since I have passed two certified IQ tests and i have scored "above" 115 IQ, so i have just updated my implementation
of a future, and now both the starting the thread of the future and the passing the parameter as a pointer to the future is made from the constructor so that to make safe the system of the automaton of the how to use and call the methods, and I have just added support for exceptions, so you have to know that programming with futures is asynchronous programming, but so that to be robust the future implementation has to deal correctly with "exceptions", so in my implementation of a future when an exception is raised inside the future you will receive the exception, so i have implemented two things: The HasException() method so that to detect the exception from inside the future, and the the exception and its address is returned as a string in the ExceptionStr property, and my implementation of a future does of course support passing parameters as a pointer to the future, also my implementation of a future works in Windows and Linux, and of course you can also use my following more sophisticated Threadpool engine with priorities as a sophisticated ActiveObject or such and pass the methods or functions and there parameters to it, here it is:

Threadpool engine with priorities

https://sites.google.com/site/scalable68/threadpool-engine-with-priorities

And stay tuned since i will enhance more my above Threadpool engine with priorities.

So you can download my new updated portable and efficient implementation of a future in Delphi and FreePascal version 1.32 from my website here:

https://sites.google.com/site/scalable68/a-portable-and-efficient-implementation-of-a-future-in-delphi-and-freepascal