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The basic approach of nearly all of the methods to calculate the day of the week begins by starting from an "anchor date": a known pair (such as 1 January 1800 as a Wednesday), determining the number of days between the known day and the day that you are trying to determine, and using arithmetic modulo 7 to find a new numerical day of the week.
Given a year with d days, the generalized birthday problem asks for the minimal number n(d) such that, in a set of n randomly chosen people, the probability of a birthday coincidence is at least 50%. In other words, n ( d ) is the minimal integer n such that
Or simply, using the simpler parameter names, compatible with {{Age in years, months and days}}: {{Age in years, months, weeks and days |month = 1 |day = 1 |year = 1 }} → 2023 years, 11 months, 2 weeks and 6 days; Alternatively, the first set of parameters can be left out to get the time left until a future date, such as the next Wikipedia Day:
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The anchor day for the century was 94 days after Tuesday, or, in other words, Friday (calculated as 18 × 5 + ⌊ 18 / 4 ⌋; or just look at the chart, above, which lists the century's anchor days). The digits 61 gave a displacement of six days so doomsday was Thursday. Therefore, April 4 was Thursday so April 12, eight days later, was ...
February's 28 or 29 days is a problem, so the formula rolls January and February around to the end so February's short count will not cause a problem. The formula is interested in days of the week, so the numbers in the sequence can be taken modulo 7.
Wikipedia uses several templates that self-update every day to keep date and age information current. These are very useful for a dynamic online encyclopedia and save users from having to regularly update that kind of information.
The leap year problem (also known as the leap year bug or the leap day bug) is a problem for both digital (computer-related) and non-digital documentation and data storage situations which results from errors in the calculation of which years are leap years, or from manipulating dates without regard to the difference between leap years and common years.