PUBLISHED PAPERS #05.03
| Fidan Nuriyeva, Urfat Nuriyev. A Mathematical Representation of the Collatz Conjecture and its Applications |
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| Abstract. The Collatz Conjecture is more than just a mathematical and scientific subject of study. In addition to being an important partner in such scientific research from the perspective of Computer Engineering and Computer Science, there are various application areas where the conjectural algorithm is utilized in operations. There are also studies in the fields of steganography, cryptology, data hiding, and watermarking where the Collatz Conjecture algorithm is employed. In this study, research has been conducted on the applications of the Collatz Conjecture, and some mathematical expressions provided by the Collatz Procedure have been presented. These expressions can be useful in the proof and applications of the Collatz Conjecture. Additionally, a more in-depth review of the current research directions and applications of this conjecture is provided. |
| Keywords: collatz conjecture, computer computational methods, copyright protection; digital watermarkin, cryptography, encryption |
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| DOI: https://doi.org/10.30546/MaCoSEP2025.1239 |