Determining Which Date Is The Day Of The Week

Year 2024, , 9 - 12, 30.06.2024

Şaban Yılmaz

https://doi.org/10.47897/bilmes.1398577

Abstract

This study is about determining which day of the week a day falls in history using mathematical equations. Various computer programs or some calendar tables have been prepared on this subject. This study aims to study mathematical equations covering all centuries after Christ. The Gregorian calendar used today was first used as the Julian calendar, and in 1582, it was determined that there was a small error in this Julian calendar. This error was corrected and the Gregorian calendar was created. The aim of this study is to find the equations that correspond to the days of the Julian and Gregorian calendars.

Keywords

Historical days, Days of the week, Calculation of Days

References

• [1] M. Balcı, Genel Matematik 1. Palme Journalism, pp. 18., ISBN:9786053556374, Ankara, 2021.
• [2] G. Moyer, “The Gregorian Calendar,” Scientific American, vol. 246, no. 5, pp. 144–152, May 1982, doi: 10.1038/scientificamerican0582-144.
• [3] E. L. Cohen, “Adoption and Reform of the Gregorian Calendar,” Math Horizons, vol. 7, no. 3, pp. 5–11, Feb. 2000, doi: 10.1080/10724117.2000.11975110.
• [4] V. F. Rickey, “Mathematics of the Gregorian Calendar,” The Mathematical Intelligencer, vol. 7, no. 1, pp. 53–56, Mar. 1985, doi: 10.1007/bf03023008.
• [5] S. Heddam, “New modelling strategy based on radial basis function neural network (RBFNN) for predicting dissolved oxygen concentration using the components of the Gregorian calendar as inputs: case study of Clackamas River, Oregon, USA,” Modeling earth systems and environment, vol. 2, no. 4, pp. 1–5, Oct. 2016, doi: 10.1007/s40808-016-0232-5.
• [6] S. B. Burnaby, Elements of the Jewish and Muhammadan calendars : with rules and tables and explanatory notes on the Julian and Gregorian calendars. G. Bell, 1901. Accessed: Apr. 01, 2024. [Online]. Available: http://ci.nii.ac.jp/ncid/BA50866714
• [7] W. T. Lynn, “The Indian Calendar, with Tables for the conversion of Hindu and Muhammadan into A.D. dates, and vice versâ,” Nature, vol. 54, no. 1393, pp. 219–220, Jul. 1896, doi: 10.1038/054219a0.
• [8] S. Babwani, “88.77 An extended approach to the Julian and the Gregorian calendar,” The Mathematical Gazette, vol. 88, no. 513, pp. 569–573, Nov. 2004, doi: 10.1017/s0025557200176375.
• [9] A. L. Prescott, “Refusing translation: The Gregorian calendar and early modern English writers,” The Yearbook of English Studies, vol. 36, no. 1, pp. 1–11, 2006, doi: 10.1353/yes.2006.0054.
• [10] A. C. Sparavigna, “The First Calends of the Julian Calendar,” SSRN Electronic Journal, 2019, doi: 10.2139/ssrn.3389310.
• [11] R. Lamont, “The Reform of the Julian Calendar,” Popular Astronomy, vol. 28, pp. 18–32, Jan. 1920.
• [12] “The Nundines, and early times of the Julian Calendar,” Cambridge University Press eBooks, pp. 327–337, Aug. 2012, doi: 10.1017/cbo9781139383127.021.
• [13] A. K. Michels, Calendar of the Roman Republic. Princeton University Press, 1968. doi: 10.1515/9781400849789.
• [14] S. J. D. Cox, “Time ontology extended for non-Gregorian calendar applications,” Semantic Web, vol. 7, no. 2, pp. 201–209, Feb. 2016, doi: 10.3233/sw-150187.