Engineering and Applied Science Letter
Vol. 7 (2024), Issue 2, pp. 1 – 13
ISSN: 2617-9709 (Online) 2617-9695 (Print)
DOI: 10.30538/psrp-easl2024.0098
Mathematical algorithms for perpetual Ethiopian calendar(e.c.)and similar calendars
Aschale Moges Belay\(^{1}\) and Snehashish Chakraverty\(^2,*\)
\(^{1}\) Department of Mathematics, Debark University, P.O.Box 90, Ethiopia
\(^{2}\) Department of Mathematics, NIT Rourkela, India
Copyright © 2024 Aschale Moges Belay and Snehashish Chakraverty. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Received: March 24, 2024 – Accepted: June 22, 2024 – Published: June 30, 2024
Abstract
This study focused on developing mathematical algorithms for the perpetual Ethiopian calendar and similar calendars. The primary objective was to demonstrate the methodology for creating these algorithms. The research identified that arithmetic progression, ceiling function, congruence modulo, floor function, and Bahre Hasabe are fundamental concepts necessary for this development. Utilizing these concepts, the study successfully developed mathematical algorithms for the perpetual Ethiopian calendar and analogous calendars.
Keywords:
Arithmetic progression; Bahre Hasabe; Ceiling function; Congruence modulo; Ethiopian calendar; Fasting dates; Floor function; Holidays