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For determination of the day of the week (1 January 2000, Saturday) the day of the month: 1 ~ 31 (1) the month: (6) the year: (0) the century mod 4 for the Gregorian calendar and mod 7 for the Julian calendar (0). adding 1+6+0+0=7. Dividing by 7 leaves a remainder of 0, so the day of the week is Saturday. The formula is w = (d + m + y + c) mod 7.
The day is normally between 1 and 31. The Julian day number (which is the integer part of the Julian day plus one) modulo 7 grows from 0 (on Monday at noon) to 6 (on Sunday at noon) and returns to 0 the next day on Monday at noon (however this template ignores time, so this number is valid for the whole day from zero o'clock to midnight). This ...
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 ⌊ x ⌋ {\displaystyle \left\lfloor {x}\right\rfloor } is that part of the number x which lies to the left of the decimal point.
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 Friday, 14 February 2025 corresponds to day number 5 in the week number 07 of ...
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:
Calculating the day of the week. Add languages. Add links. Article; Talk; English. Read; Edit; View history; ... Determination of the day of the week; Retrieved from ...
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 ...
This problem can be seen in the spreadsheet program Microsoft Excel as of 2023, which stores dates as the number of days since 31 December 1899 (day 1 is 1 January 1900) with a fictional leap day in 1900 if using the default 1900 date system. Alternatively, if using the 1904 date system, the date is stored as the number of days since 1 January ...
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