The best articles by Ciro Santilli Updated +Created
These are the best articles ever authored by Ciro Santilli, most of them in the format of Stack Overflow answers.
Ciro posts update about new articles on his Twitter accounts.
A chronological list of all articles is also kept at: Section "Updates".
Some random generally less technical in-tree essays will be present at: Section "Essays by Ciro Santilli".
Collatz conjecture Updated +Created
Given stuff like arxiv.org/pdf/2107.12475.pdf on Erdős' conjecture on powers of 2, it feels like this one will be somewhere close to computer science/Halting problem issues than number theory. Who knows. This is suggested e.g. at The Busy Beaver Competition: a historical survey by Pascal Michel.
Decision problem Updated +Created
Computational problem where the solution is either yes or no.
When there are more than two possible answers, it is called a function problem.
Decision problems come up often in computer science because many important problems are often stated in terms of "decide if a given string belongs to given formal language".
Human brain Updated +Created
The brain of a human.
Ciro Santilli feels it is not for his generation though, and that is one of the philosophical things that saddens him the most in this world.
On the other hand, Ciro's playing with the Linux kernel and other complex software which no single human can every fully understand cheer him up a bit. But still, the high level view, that we can have...
Figure 1. Source.
  • 1: Ventriculus lateralis, Cornu frontale
  • 2: Ventriculus lateralis, Pars centralis
  • 3: Calcar avis
  • 4: Ventriculus lateralis, Cornu occipitale
  • 5: Trigonum collaterale
  • 6: Eminentia collateralis
  • 7: Hippocampus
  • 8: Ventriculus lateralis, Cornu temporale
  • 9: Capsula interna
  • 10: Nucleus caudatus
Universal Turing machine Updated +Created
A Turing machine that simulates another Turing machine/input pair that has been encoded as a string.
In other words: an emulator!
The concept is fundamental to state several key results in computer science, notably the halting problem.