Suppose a certain airline is consistently 25 hours late in departure and arrival (this has happened, but no names will be mentioned) while another one, flying the same route, is only 2 to 3 hours late. If you were in a hurry, which airline would you fly — food, lack of leg room and all else being equal? Obviously, being 25 hours late is as good (or bad) as being only 1 hour late. In other words, in a daily recurring event an extra day, or even several, makes no difference. The mathematics that deals with this kind of situation is called modular arithmetic, because only remainders modulo a given integer matter.
Unable to display preview. Download preview PDF.
- 6.1G.H. Hardy, E. M. Wright: An Introduction to the Theory of Numbers, 5th ed., Sect. 5.2 (Clarendon, Oxford 1984)Google Scholar
- 6.2P. J. Davis: The Lore of Large Numbers (Random House, New York 1961)Google Scholar
- 6.3L. E. Dickson: History of the Theory of Numbers, Vols. 1–3 (Chelsea, New York 1952)Google Scholar