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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.

4 votes
2 answers
341 views

Question concerning the solution of a certain calendar problem involving modular arithmetic.

A question I was given is the following: A certain month on the calendar has 31 days, and it has an equal amount of Mondays and Wednesdays. How many different kind of days(Monday to Sunday) can be ...
Aiden Chow's user avatar
  • 2,821
2 votes
1 answer
653 views

How can I find day of a certain month when the sum of all thursdays is a certain number?.

The problem is as follows: The sum of all thursdays in certain month is $80$ and equal to the sum of all sundays in the following month, which has the same number of mondays than fridays it has ...
Chris Steinbeck Bell's user avatar
0 votes
2 answers
80 views

How can I find the name of the last day of a week in certain year when the name of a day of a month for that year is given?

The problem is as follows: Roger sees in his almanac that a certain month from a year the first day was monday and the last day was also monday. What day of the week, was the last day of that ...
Chris Steinbeck Bell's user avatar
0 votes
3 answers
50 views

How can I find the a certain birthdate of two people when one information given depends on the other?

The problem is as follows: Mike was born on $\textrm{October 1st, 2012,}$ and Jack on $\textrm{December 1st, 2013}$. Find the date when the triple the age of Jack is the double of Mike's age. The ...
Chris Steinbeck Bell's user avatar
0 votes
1 answer
804 views

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 ...
Shashank Kumar Pandey's user avatar
0 votes
2 answers
2k views

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 ...
Flux's user avatar
  • 329
2 votes
2 answers
118 views

How many times in the future after the 1st of January of 2019 will a palindrome date happen?

I'm trying to solve the following problem: How many times in the future (before the year 10000) will after the 1st January of 2019 happen a palindrome date. Date is in the dx-my-ymxd forum, and ...
Peter F.'s user avatar
  • 463
-1 votes
2 answers
304 views

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's user avatar
  • 117
0 votes
0 answers
51 views

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)...
Geoffrey Trang's user avatar
2 votes
3 answers
4k views

How many years later the calendar of 2016 can be reused?

How many years later the calendar of 2016 can be reused? I was asked this question in an exam. I want to explain the term 'reuse' . If we ignore the holidays and our only purpose is to check the date ...
cmi's user avatar
  • 3,401
1 vote
1 answer
800 views

How to find the week day of (any) given date? [duplicate]

How to find the week day of any given date? Say we need to know in which week-day was June $25,2019$?
Hussain-Alqatari's user avatar
0 votes
1 answer
131 views

"New Year falls more often on Sundays than on Mondays"

This is a question from a hungarian math contest from the year 1948. It was Saturday on the 23rd October, 1948. Can one conclude that New Year falls more often on Sundays than on Mondays? Well, I ...
Vinyl_cape_jawa's user avatar
2 votes
1 answer
301 views

Number of occurrences of a generic recurring event between two dates

Intro Cron is a very common tool in computer science, which allows to schedule an event given a generic pattern written in a file called crontab. I'm researching on an algorithm to calculate the ...
Buendiadas's user avatar
5 votes
4 answers
3k views

Why don't we subtract out / ignore the leap year every 128 years? [closed]

When we add the extra day to the calendar every 4 years it's to "correct" the calendar under the assumption that the year's length is 365.25 days. Every year, you're .25 days off, so after 4 years, ...
Tyler T's user avatar
  • 59
0 votes
0 answers
65 views

I want to know what not integer numbers means in calendar?

I want to know what not integer numbers means in this case? if $30$ days $= 4$ weeks and $2$ days $4.2$ then why $20$ days does not correspond to $2$ weeks and $8$days $4,8$? being that: $\frac{30}{...
hunter 2050's user avatar

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