Finding the Year's Share in Day-of-Week Calculations

2016/05/22 by S. Kamal Abdali, Abdali, S. Kamal · 1 voice
Mathematics · #FOS: Mathematics #History and Overview (math.HO) #math.HO

paper · pdf · doi:10.48550/arxiv.1605.06857

arxiv created 2016/05/30 · arxiv updated 2016/05/31

Abstract

The dominant part in the mental calculation of the day of the week for any given date is to determine the year share, that is, the contribution of the two-digit year part of the date. This paper describes a number of year share computation methods, some well-known and some new. The "Parity Minus 3" method, in particular, is a new alternative to the popular "Odd+11" method. The paper categorizes the methods of year share computation, and presents simpler proofs of their correctness than usually provided. Keywords and phrases: day of the week, calendar algorithms, doomsday method, first Sunday algorithm, mental arithmetic, year share

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