Some considerations on the total stopping time for the Collatz problem

Autor:	Nicola Fabiano, Nikola Mirkov, Stojan Radenović
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	collatz conjecture recurrences statistical analysis curve fitting Military Science Engineering (General). Civil engineering (General) TA1-2040
Zdroj:	Vojnotehnički Glasnik, Vol 72, Iss 3, Pp 1019-1028 (2024)
Druh dokumentu:	article
ISSN:	0042-8469 2217-4753
DOI:	10.5937/vojtehg72-50306
Popis:	Introduction/purpose: The Collatz conjecture has been considered and the stopping time needed for the recursive transformation to end has been investigated. Methods: A statistical analysis on the stopping time has been used. Results: The statistical approach shows that the probability of finding an infinite stopping time, that is a violation of the Collatz conjecture, is extremely low. Conclusion: Picking precisely one particular atom in the Universe is still more favorable, by more than 61 orders of magnitude, than encountering an infinite total stopping time.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/d4e27a1e17f3445b99220acd4b41fb32 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF