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A calendrical calculation is a calculation concerning calendar dates. Calendrical calculations can be considered an area of applied mathematics. Some examples of calendrical calculations: Converting a Julian or Gregorian calendar date to its Julian day number and vice versa (see § Julian day number calculation within that article for details).
National standard format is yyyy-mm-dd. [161] dd.mm.yyyy format is used in some places where it is required by EU regulations, for example for best-before dates on food [162] and on driver's licenses. d/m format is used casually, when the year is obvious from the context, and for date ranges, e.g. 28-31/8 for 28–31 August.
For example, the 6th day of the 1st month of the year 2009 may be written as "2009-01-06" in the extended format or as "20090106" in the basic format without ambiguity. For reduced precision , [ 18 ] any number of values may be dropped from any of the date and time representations, but in the order from the least to the most significant.
For example, February of a common year corresponds to March because February has 28 days, a number divisible by 7, 28 days being exactly four weeks. In a leap year , January and February correspond to different months than in a common year, since adding 29 February means each subsequent month starts a day later.
The doomsday's anchor day calculation is effectively calculating the number of days between any given date in the base year and the same date in the current year, then taking the remainder modulo 7. When both dates come after the leap day (if any), the difference is just 365 y + y / 4 (rounded down).
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Microsoft Excel displays the day before January 1, 1900 (the earliest date it can represent) as January 0, 1900. [17] It also treats 1900 incorrectly as a leap year (whereas only centuries divisible by 400 are), so it displays the day before March 1, 1900 as the non-existent February 29 instead of February 28. This means March 1, 1900 is the ...
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