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  2. Determination of the day of the week - Wikipedia

    en.wikipedia.org/wiki/Determination_of_the_day...

    The Rata Die method works by adding up the number of days d that has passed since a date of known day of the week D. The day of-the-week is then given by (D + d) mod 7, conforming to whatever convention was used to encode D. For example, the date of 13 August 2009 is 733632 days from 1 January AD 1. Taking the number mod 7 yields 4, hence a ...

  3. Zeller's congruence - Wikipedia

    en.wikipedia.org/wiki/Zeller's_congruence

    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:

  4. Doomsday rule - Wikipedia

    en.wikipedia.org/wiki/Doomsday_rule

    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 ...

  5. Day count convention - Wikipedia

    en.wikipedia.org/wiki/Day_count_convention

    The conventions of this class calculate the number of days between two dates (e.g., between Date1 and Date2) as the Julian day difference. This is the function Days(StartDate, EndDate). The conventions are distinguished primarily by the amount of the CouponRate they assign to each day of the accrual period.

  6. Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Microsoft_Excel

    Excel includes February 29, 1900, incorrectly treating 1900 as a leap year, even though e.g. 2100 is correctly treated as a non-leap year. [82] [83] Thus, a formula counting dates between (for example) February 1, 1900 and March 1

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  8. Sunrise equation - Wikipedia

    en.wikipedia.org/wiki/Sunrise_equation

    is the number of days since Jan 1st, 2000 12:00. is the Julian date; 2451545.0 is the equivalent Julian year of Julian days for Jan-01-2000, 12:00:00. 0.0008 is the fractional Julian Day for leap seconds and terrestrial time (TT). TT was set to 32.184 sec lagging TAI on 1 January 1958. By 1972, when the leap second was introduced, 10 sec were ...

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