Questions tagged [calendar-computations]

This tag is for questions about combinatorial and computational issues with regards to calendar systems. A typical, well-known mathematical result in this direction is John Conway's Doomsday Algorithm for computing the "day of the week" associated to a given date.

Calendar computations have a long history within mathematics. In fact, much of ancient mathematics (such as those developed by the Babylonians, Mayans, and Chinese) stem from an effort to try to understand the mathematical relationships (especially the quasi-periodic nature) between the solar year, the lunar month, and the sidereal day.

With the development of the Gregorian calendar, in modernity the academic interest in calendar computations have somewhat waned. But there are still many interesting recreational problems related to the computations of dates, the interaction between lunar and solar calendars, and relationship between the human concept of the week with more astronomically based measurements of time.

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Calculating Calendar Adjustment

I have a data with the Date and Volume column like below, where I am trying to adjust the calendar, the dates are week-ending dates, hence some of the data is missed since May ended with a full week on 28 May and the next week was shared with June…
noswear
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Is AD $4000$ a leap year or not?

There is a popular rule to determine which year is a leap year or not. The year is exactly divisible by four (with no reminder); If the year is divisible by $100$ (years ending in two zeros), it is not a leap, except if It is also divisible by…
newview
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How to converts total days passed since epoch from real Gregorian calendar to teorical Gregorian that all years are leap years?

Assuming: there is a "hypothetical Gregorian calendar" with same notations of the realistic (but no week days); therefore each date of the hypotetical calendar has the format "month day, year" like realist; the hypothetical calendar is equal to…
RHER WOLF
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Why the 28 year day-date repetition rule doesn't always follow?

I was studying the pattern of calendar and found out that the years repeat same day-date pattern over a period of 28 years but the pattern broke if we compare 1752 and 1780.(By day-date pattern i mean for example in year 2020 1st february is on…
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What is the maximum number of years I have to wait till my birthday falls again on a Sunday?

Suppose my birthday fell on a Sunday. What is the maximum number of years I may have to wait till my birthday falls on a Sunday again? My intuition says 11 years: At the earliest, the next Sunday is in 6 years time. Reason: before I can encounter…
Flux
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When does adding 180 or 220 years give a date falling on the same day of the week?

Many dates in the Gregorian calendar repeat the day of the week after 180 and/or 220 years. In fact, this was already the case for October 15, 1582 (1582, 1762, and 1802 all had October 15 on a Friday). But not all dates do. Adding 180 or 220 years…
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Difference between two dates in math formula

Good evening guys, I have little problem, I have to calculate how many days do I have between two dates which contains specific day, month and even year, do you guys have any idea how should I do that? Is there any formula, every formula was…
Sanady
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How do you figure out what # of 4 a Week # is?

If we round down the number of weeks in a year to 52, And we label each of the 52 weeks either 1, 2, 3, or 4 And we label them in order, the first week of the year being 1, the second being 2, third being 3, fourth being 4, fifth being 1, sixth…
Luke Allen
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perpetual calendar on five dice

Does anyone know how to create a perpetual calendar on the sides of five dice ? The calendar is required to show just two digit day, and three letter month name. Apparently this can be done using French month names - i.e. (JAN FEV MAR AVR MAI JUN…
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Calculate the distance between days of the week

I'm trying to create a formula that will give me the distance in days between 2 different days of the week with min/max of +7/-7. So for instance is there a formula to find that the days between this Monday and the coming Thursday is 3 but the…
weagle08
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Math Riddle Involving Birthdays

So someone asked me the following riddle: If a girl is born in the 19th century, and on her first birthday she is 8. How is this possible? I think it's a simple mathematics problem but I can't find a way to figure it out.
eWizardII
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Must each new year always contain a Friday the 13th?

I am wondering if there is any way to determine whether it is possible to have a year that does not contain a Friday the 13th?
llewmills
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Regarding Days and Week in Calendar

How to find the Particular day for 27 -1-1932, can anyone solve the Problem, how to study the Day for particular calendar events
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