At least almost all Collatz orbits attain bounded values.
At least almost all Collatz orbits attain bounded values.
This self-contained communication summarizes, simplifies and extend some theorems we have previously demonstrated. If one of its main results is that at least almost all orbits of the Collatz map attain bounded values, the methodology of algebraic geometry it employs, that is, the studying of how the complete binary, ternary …