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Dates are given using the system of the Roman calendar, as well as the day of the lunar month. As a moveable feast, [1] [2] the date of Easter is determined in each year through a calculation known as computus paschalis (Latin for 'computation') – often simply Computus – or as paschalion particularly in the Orthodox church. [3]
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.
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).
No guidance is provided about conversion of dates before March 5, -500, or after February 29, 2100 (both being Julian dates). For unlisted dates, find the date in the table closest to, but earlier than, the date to be converted. Be sure to use the correct column. If converting from Julian to Gregorian, add the number from the "Difference" column.
The Julian date (JD) of any instant is the Julian day number plus the fraction of a day since the preceding noon in Universal Time. Julian dates are expressed as a Julian day number with a decimal fraction added. [8] For example, the Julian Date for 00:30:00.0 UT January 1, 2013, is 2 456 293.520 833. [9]
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 365y + y / 4 (rounded down). But 365 equals 52 × 7 + 1, so after ...
The earliest dates for Easter in the Eastern Orthodox Church between 1875 and 2099 are April 4, 1915 and April 4, 2010 (Gregorian). Both dates are equivalent to 22 March in the Julian Calendar. The next earliest date for Orthodox Easter, March 23 in the Julian Calendar, last occurred in 1953, and will next occur in 2037. Both of these dates are ...
If the delivery date is a non-business day or a US holiday, move forward until an acceptable delivery date is found. Finally, calculate the expiry date using an "inverse spot" operation; e.g., find the expiry date for which the delivery date would be its spot.