Result Details

7x +- 1: Close Relative of the Collatz Problem

BAŘINA, D. 7x +- 1: Close Relative of the Collatz Problem. Computational Methods in Science and Technology, 2022, vol. 28, no. 4, p. 143-147. ISSN: 1505-0602.

Type

journal article

Language

English

Authors

Bařina David, Ing., Ph.D., DCGM (FIT)

Abstract

We show an iterated function of which iterates oscillate wildly and grow at a dizzying pace. We conjecture that the orbit of arbitrary positive integer always returns to 1, as in the case of the Collatz function. The conjecture is supported by a heuristic argument and computational results.

Keywords

Collatz problem, number theory

Published

2022

Pages

143–147

Journal

Computational Methods in Science and Technology, vol. 28, no. 4, ISSN 1505-0602

DOI

10.12921/cmst.2022.0000025

BibTeX

@article{BUT180475,
  author="David {Bařina}",
  title="7x +- 1: Close Relative of the Collatz Problem",
  journal="Computational Methods in Science and Technology",
  year="2022",
  volume="28",
  number="4",
  pages="143--147",
  doi="10.12921/cmst.2022.0000025",
  issn="1505-0602",
  url="https://www.fit.vut.cz/research/publication/12909/"
}

Files

pdf final.pdf 1 MB

Projects

Moderní metody zpracování, analýzy a zobrazování multimediálních a 3D dat, BUT, Vnitřní projekty VUT, FIT-S-20-6460, start: 2020-03-01, end: 2023-02-28, completed

Research groups

Computer Graphics Research Group (RG GRAPH)

Departments

Department of Computer Graphics and Multimedia (DCGM)