Výsledky vyhledávání - "Baleh, Farid"

Collatz conjecture Demonstration of the relationship between the numbers of even and odd steps before reaching 1, and the initial odd value of a Collatz sequence that converges

Autor: Baleh, Farid

Publikováno v: In press

International audience; The relationship between the numbers of even steps (P), the number of odd steps (I) and the odd initial value u0 of a compressed Collatz sequence that converges is as follows:I+P= E[log2⁡((3^I)*u0)]+1Where:E(x) is the intege

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::4b372cedadb3b4bf477d0eda834ac816
https://hal.science/hal-02935616

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Collatz conjecture The trivial cycle is unique (because a Collatz sequence that becomes periodic converges)

Autor: Baleh, Farid

A Collatz sequence that is periodic after a certain rank reaches the value 1 (or converges). Therefore the trivial cycle is unique, and a Collatz sequence that has an upper bound becomes periodic, and then converges.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::f439da50e0b1303c87adbc16367769bf
https://hal.archives-ouvertes.fr/hal-01484740

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