On ℵc-Method of e-Abacus Diagram

On ℵc-Method of e-Abacus Diagram

Section: Article
Issue
Vol. 35 No. 1 (2026): Volume 35, Issue 1
Published
Jan 1, 2026
Pages
8-15

Abstract

When a specific method is chosen for a solution, representing or encoding a mathematical model, others seek to make this method ambiguous through what we can call (multiple encoding) to conceal the solution and make it more secret. This is exactly what we did in this research, as we placed a special movement exclusively on the columns of the first main e-abacus diagram, which we called (  ) on the condition that the first and last columns of the original diagram are not affected at all, due to our actual need for them in representing the diagram later. In addition, the mechanism was implemented in the form of a graph, and a computer program was also created to solve the problem more quickly. It is expected that the application of this technology will have industrial potential aimed at improving production in terms of quality and quantity.

References

  1. A. Mathas, "Iwahori-Hecke algebras and Schur Algebras of the Symmetric Group", American Mathematical Soc., Vol.15, 1999.
  2. G. D. James, “Some combinatorial results involving Young diagrams”, Math. Proc. of the Cambridge Phil. Soc., Vol. 83(1978),PP. 1-10. http://doi.org/10.1017/S0305004100054220
  3. A. S. Mahmood, “On the intersection of Young's diagrams core”, J. Education and Science (Mosul University), Vol. (24), No. (3) 2011.
  4. A. B. Mahmood & A. S. Mahmood, “Secret-word by e-abacus diagram I”, Iraqi Journal of Science, Vol. 60, No.3, pp: 638-646, 2019. https://doi.org/10.24996/ijs.2019.60.3.22
  5. H. H. Sami, M. K. Ahmed & A. S. Mahmood, “On Graph- Syriac Letters Partition “Iraqi Journal of Science, Vol. 64, No. 1, pp: 341-346, 2023. https://doi.org/10.24996/ijs.2023.64.1.31
  6. J. K. Khaleel, “Some Application of Specific Movements on e-Abacus Diagram” M. Sc. Thesis, Mosul University, 2023, https://doi.org/10.13140/RG.2.2.32798.45125
  7. A. S. Mahmood, J. K. Khaleel & Rasha H. A. Alyousef, “On Жr e-abacus diagram”, To appear in 2025-2026.
  8. Y. Mukai, “Dielectric Properties of Cotton Fabrics and Their Applications”, Ph. D. Dissertation, Raleigh, North Carolina, USA. 2019.
  9. A. S. Mahmood “ On GCYD-method In e-abacus diagram”, Iraqi Journal of Science, Vol. 64, No. 7, pp: 4352-4357, 2023. https://doi.org/10.24996/ijs.2023.64.7.26
  10. S. S Ali, M. K Ahmed, H. H Sami & A. S Mahmood, “The Syriac letters and e-abacus diagram II”, Journal of Physics: Conference Series, Vol. 1879, No. 2, pp 022098, 2021. https://doi.org/10.1088/1742-6596/1879/2/022098
  11. H. S. Mohammed and N. A Abdul-Razaq, “Splitting the e-abacus diagram in the partition theory”, Iraqi Journal of Science, Vol. 62, No. 10, pp: 3648-3655, 2021, https://doi.org/10.24996/ijs.2021.62.10.23
  12. M. Suer and M. Yesil, “ Special subdiagrams of Young diagrams and numerical semigroups”, Turkish Journal of Mathematics , Vol. 48, pp: 346– 359, 2024. https://doi.org/10.55730/1300-0098.3510

Authors

Hadil H. Sami

Department of Mathematics, College of Education for Pure Sciences, University of Al-Hamdaniya, Mosul, Iraq

Ammar S. Mahmood

Department of Mathematics, College of Education for Pure Sciences, University of Mosul, Mosul, Iraq

Mohammed K. Ahmed

Department of Computer Science, College of Education for Pure Sciences, University of Al-Hamdaniya, Mosul, Iraq

Identifiers

https://doi.org/10.33899/jes.v35i1.49254
Download this PDF file
PDF

Statistics

Downloads

Download data is not yet available.

How to Cite

[1]
H. H. . Sami, A. S. . Mahmood, and M. K. Ahmed, “On ℵc-Method of e-Abacus Diagram: On ℵc-Method of e-Abacus Diagram”, JES, vol. 35, no. 1, pp. 8–15, Jan. 2026.
Copyright and Licensing
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.