TITLE:
A Comparative Analysis of the New -3(-n) - 1 Remer Conjecture and a Proof of the 3n + 1 Collatz Conjecture
AUTHORS:
Mike Remer
KEYWORDS:
-3(-n) - 1 Remer Conjecture, 3n + 1 Collatz Conjecture, Comparative Analysis, Proof, Natural Numbers, Integer Sequences, Factorial Processes, Par-tial Differential Equations, Bounded Values, Collatz Conjecture, Collatz Algo-rithm, Collatz Operator, Collatz Compliance, And Mathematical Conjectures
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.8,
August
14,
2023
ABSTRACT: This scientific paper is a comparative analysis of two mathematical conjectures. The newly proposed -3(-n) - 1 Remer conjecture and how it is related to and a proof of the more well known 3n + 1 Collatz conjecture. An overview of both conjectures and their respective iterative processes will be presented. Showcasing their unique properties and behavior to each other. Through a detailed comparison, we highlight the similarities and differences between these two conjectures and discuss their significance in the field of mathematics. And how they prove each other to be true.