Simplified Hotel System by Linking Matrices and e-Abacus Diagram

Section: Research Article
Issue
Vol. 35 No. 2 (2026): Volume 35, Issue 2
Pages
83-88

Keywords:

Keyword: Matrix, e-abacus diagram, multi-layer e-abacus diagram.

Abstract

In the direction of a world that has started implementing its concepts in a new way where sustainability permeates or touches on a part of our everyday lives as a crucial component to set this notion apart from others. Altaie, Mahmood, and Alhyali came up with a new model in the direction of a multi-layer diagram (but only in the positive direction) in this study, which is regarded as a development of the good idea reached in presenting a link between chemistry and the e-abacus diagram. This made us consider the possibility of extending this multi-layer diagram in the negative direction as well. These concepts were best connected and applied in matrices that had to fulfill specific requirements, which made it possible to create a straightforward, useful hotel model. We will be able to easily determine how many rooms are occupied or vacant thanks to this program.


 

References

  1. H. Anton and C. Rorres, Elementary Linear Algebra, Applications Version (10th ed.), John Wiley & Sons, 2010, (ISBN 9780470432051).
  2. W. C. Brown, Matrices and Vector Spaces, New York, NY: Marcel Dekker, 1991, http://doi.org/10.1201/9781003573791
  3. J. B. Fraleigh, A First Course In Abstract Algebra (2nd ed.), Addison-Wesley, 1976, ISBN: 0-201-01984-1.
  4. S. Lang, Introduction to Linear Algebra (2nd ed.), Springer, 1986, http://doi.org/10.1007/978-1-4612-1070-2
  5. A. Mathas, Iwahori-Hecke Algebras and Schur Algebras of the Symmetric Group, American Mathematical Soc., vol. 15, 1999, ISBN-10 ‏ : ‎ 0821819267
  6. G. D. James, Some combinatorial results involving Young diagrams, Mathematical proceedings of the Cambridge Philosophical Society, vol. 83, no. 1, pp. 1-10, 1978, http://doi.org/10.1017/S0305004100054220
  7. A. S. Mahmood, On the interaction of young's Diagram core, Journal Educatin and Science , vol. 24, no. 3, pp. 143-159, 2011, DOI: 10.33899/edusj.1999.58795.
  8. A. M. Ali and A. S. Mahmood, The graph of e-abacus diagram. WSEAS Trans. on Math., 19(2224-2880), 486-497, 2020, http://doi.org/10.37394/23206.2020.19.52
  9. S. A. Altaie, A. S. Mahmood and E. A. S. Alhyali, Application of partition theory to calculate the chemical displacement of the Nuclei of the Carbon 13 Atom of Cyclohexane derivatives II, Journal of Education and Science, 34(2), 62-67, 2025, DOI: 10.33899/edusj.2025.156766.1530.
  10. T. Clark and R. Koch, The Chemist's Electronic Book of Orbitals, 1999, Springer-Verlag, Berlin-Heidelberg, https://doi.org/10.1007/978-3-662-13150-3

Authors

Adian Neamat Alagha Alagha

Ammar Seddiq Mahmood

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

Identifiers

DOI: 10.33899/jes.v35i2.53598

Download this PDF file
PDF

Statistics

How to Cite

[1]
“Simplified Hotel System by Linking Matrices and e-Abacus Diagram”, JES, vol. 35, no. 2, pp. 83–88, Apr. 2026, doi: 10.33899/jes.v35i2.53598.
Copyright and Licensing
Creative Commons License

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

How to Cite

[1]
“Simplified Hotel System by Linking Matrices and e-Abacus Diagram”, JES, vol. 35, no. 2, pp. 83–88, Apr. 2026, doi: 10.33899/jes.v35i2.53598.