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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
The properties of a date include its Julian date and its Gregorian serial date, as well as the day-of-week and day-of-year. Dates can be compared (for example, date1 <= date2), and can be used with add or subtract (for example, date + '3 months'). The difference between two dates can be determined with date1 - date2.
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).
Short format: dd/mm/yyyy (Day first, month number and year in left-to-right writing direction) in Afar, French and Somali ("d/m/yy" is a common alternative). Gregorian dates follow the same rules but tend to be written in the yyyy/m/d format (Day first, month number, and year in right-to-left writing direction) in Arabic language.
Note: In this algorithm January and February are counted as months 13 and 14 of the previous year. E.g. if it is 2 February 2010 (02/02/2010 in DD/MM/YYYY), the algorithm counts the date as the second day of the fourteenth month of 2009 (02/14/2009 in DD/MM/YYYY format) So the adjusted year above is:
The properties of a date include its Julian date and its Gregorian serial date, as well as the day-of-week and day-of-year. Dates can be compared (for example, date1 <= date2), and can be used with add or subtract (for example, date + '3 months'). The difference between two dates can be determined with date1 - date2.
The authors design individual calendrical calculation algorithms for converting each of these calendars to and from a common format, the Rata Die system of days numbered from January 1 of the (fictional) Gregorian year 1. Combining these methods allows the conversion between any two of the calendars.
A precise date is specified by the ISO week-numbering year in the format YYYY, a week number in the format ww prefixed by the letter 'W', and the weekday number, a digit d from 1 through 7, beginning with Monday and ending with Sunday. For example, the Gregorian date Sunday, 9 February 2025 corresponds to day number 7 in the week number 06 of ...