Attachment "possible computer application uses of the Collatz Sequences.txt" to
ticket [e035b93f36]
added by
anonymous
2021-09-24 13:01:24.
Possible Uses of Collatz Sequences Conjecture
Offsite query from Senior TCL Enginner. 9/22/2021 was "What are the possible computer application uses of the Collatz Sequences Conjecture?
As understood here, the Collatz Sequences Conjecture is called pure mathematics. Paul Erdos said about the Collatz conjecture: “Mathematics may not be ready for such problems.” The Collatz Sequences Conjecture is at the forefront of human mathematics. The topic of the Collatz Conjecture was rated "High Priority" by WikiProject Mathematics circa Sep2021, a collective measure of Mathematicians priorities and popularity to be sure. From what an outsider can tell, the Collatz Sequences are being generated with supercomputers and distributed computing algorithms on the numeric issues. Apparently, the Collatz Sequences are as valid a test for computing machines, parallel algorithms, and distributed computing algorithms as the 1) search for pi, 2) search for highest prime number, 3) Twin Prime Conjecture, and 4) factoring numbers. In 2020, starting values up to 2**268 approximating 2.95*1020 have been checked in the Collatz conjecture. In 2019, a paper proposed using Collatz Sequences for signal encryption, High-uncertainty audio signal encryption based on the Collatz conjecture. Other papers have mentioned the buzzwords "quantum mechanics computing" and fuzzily implied that the Collatz conjecture may be analogous to setting quantum levels in a quantum device. I am a retired engineer. I have put some queries out to the pure mathematicians.
Alan Turing created the concept of a “universal computing machine” about 1937. The seminal 1937 paper was titled: On Computable Numbers With an Application to the Entscheidungsproblem. A Turing machine is a theoretical abstraction of a computing engine, but usually is presented and resolved to a computer program on existing physical computers today. There have been a number of papers laying out concepts for Turing machines based on the Collatz Sequences Conjecture. These Turing machine concepts usually use the Collatz Sequence calculations and procedures <+,/,*> in a decision matrix and rate how the conceptual Turing machine smoothly solves for Collatz Sequences in a continuous computation loop without halts and flaws. I might point out that the original Collatz Conjecture procedures involving simple <+,/,*> operations here have been spun out into Collatz-like problems, different formula approaches, and radical looking reformulations.
ProvisionaI text. I still have some queries out to pure mathematician associations and institions Collatz Sequences uses. If they answer back, the pure mathematicians may come back with different and more authoritive uses of Collatz Sequences than the retiree brigade.
link to https://wiki.tcl-lang.org/page/Collatz_Sequences+%283%2AN%2B1%29+in+Console+Example+Demo+for+TCL+V3+?V=158.
