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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).
A calendar date is a reference to a particular day, represented within a calendar system, enabling a specific day to be unambiguously identified. Simple math can be performed between dates; commonly, the number of days between two dates may be calculated, e.g., "25 March 2025" is ten days after "15 March 2025".
To calculate the day of the calends of the upcoming month, counting the number of days remaining in the current month is necessary, then adding two to that number. For example, April 22 is the 10th day before the calends of May (ante diem decimum Kalendas Maius), because eight days are left in April and both end dates are included in the total. [1]
Treating a month as 30 days and a year as 360 days was devised for its ease of calculation by hand compared with manually calculating the actual days between two dates. Also, because 360 is highly factorable, payment frequencies of semi-annual and quarterly and monthly will be 180, 90, and 30 days of a 360-day year, meaning the payment amount ...
A full calendar system has a different calendar date for every day. [20] [21] Thus the week cycle is by itself not a full calendar system; [22] neither is a system to name the days within a year without a system for identifying the years. The simplest calendar system just counts time periods from a reference date. [23]
The term Julian date may also refer, outside of astronomy, to the day-of-year number (more properly, the ordinal date) in the Gregorian calendar, especially in computer programming, the military and the food industry, [10] or it may refer to dates in the Julian calendar. For example, if a given "Julian date" is "October 5, 1582", this means ...
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Zeller's congruence is an algorithm devised by Christian Zeller in the 19th century to calculate the day of the week for any Julian or Gregorian calendar date. It can be considered to be based on the conversion between Julian day and the calendar date.
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