Approaching the Collatz conjecture from a hybrid control transfer function model, I realized that it satisfies the conditions for the output trajectory to converge to 0 [dB] on the logarithmic axis.

The new method is introduced in Articles 1-10 and Chapters 1-8. The translation from Japanese to English has been completed for all articles, both free and paid. (April 2024) English articles are ...

This repository presents a constructive proof of the Collatz Conjecture, demonstrating that every positive integer eventually reaches 1 through the defined transformation process. The proof ensures ...