Basics of Cyclical Sequences Theory
Year: 2024
Type: article
Abstract: This paper introduces two types recursive impulse algorithms that create a new subject of numerical sequences which are called cyclical pulsatory sequences and the Collatz sequence is classified in them. They also divide integers into tree partitions. This theory studies the structure of cyclical pulsatory sequences. One of the obstacles to proving Collatz's conjecture has been the lack of sufficient knowledge about the Collatz sequence. This article provides a new and complete understanding of Collatz's conjecture, in which, we have also redefined the collatz sequence with a parameter.
Author: Hashem Salarvand Rostamy
Institution: Lorestan University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404594587