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The basic approach of nearly all of the methods to calculate the day of the week begins by starting from an "anchor date": a known pair (such as 1 January 1800 as a Wednesday), determining the number of days between the known day and the day that you are trying to determine, and using arithmetic modulo 7 to find a new numerical day of the week.
These formulas are based on the observation that the day of the week progresses in a predictable manner based upon each subpart of that date. Each term within the formula is used to calculate the offset needed to obtain the correct day of the week. For the Gregorian calendar, the various parts of this formula can therefore be understood as follows:
Applying the Doomsday algorithm involves three steps: determination of the anchor day for the century, calculation of the anchor day for the year from the one for the century, and selection of the closest date out of those that always fall on the doomsday, e.g., 4/4 and 6/6, and count of the number of days between that date and the date in ...
Combining the two enables the page headers to show any fixed or movable festival observed on the day, and whether it is a bank holiday. The algorithm utilises the integral or floor function: thus ⌊ ⌋ is that part of the number x which lies to the left of the decimal point. It is only necessary to work through the complete function when ...
The Babylonians invented the actual [clarification needed] seven-day week in 600 BCE, with Emperor Constantine making the Day of the Sun (dies Solis, "Sunday") a legal holiday centuries later. [2] In the international standard ISO 8601, Monday is treated as the first day of the week, but in many countries it is counted as the second day of the ...
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If Cheshvan has 29 days, then Kislev will have either 29 or 30 days. This is the only occurrence in which it happens. If both Cheshvan and Kislev have 30 days, then the Tenth of Tevet will occur on Friday, one of two public fasts that can possibly be observed on a Friday (the other being the Fast of the Firstborn). The fast is not broken until ...