Calculating the Mayan Date 0,2,3,5,10 Days Later from 8,10,193

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The discussion focuses on calculating the Mayan date that is 0, 2, 3, 5, and 10 days later from the given date of (8,10,193). The Mayan calendar consists of two systems: a 260-day almanac and a 365-day calendar, which complicates date arithmetic. Participants emphasize the need for a detailed guide to navigate the complexities of the Mayan calendar system. Several online resources are shared, including a website with videos explaining the calendar mechanics and another for converting Gregorian dates. Understanding these resources is essential for accurately performing the calculations.
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Summary:: Given the Mayan date (8,10,193) determine the Mayan date that is 0,2,3,5,10 days later.

The Mayans used a complicated date system. The question asks: Given the Mayan date (8,10,193) determine the Mayan date that is 0,2,3,5,10 days later.

The system the Mayans used had two different calendars at the same time. They had a 260 day almanac with was made of two cycles - one of length thirteen and one of length 20. The second calendar had 365 days. This was divided into months of 20 days and an extra five period day. The triples were repeated after 18,980 days - 50 years. The first and second numbers in the triple connect to the 260 day almanac. The third is the day number in the 365 day year.
How can I find the date asked for in the question?
 
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There is also the long count - the "8" in your example.

IMO, without at least a detailed guide of the system, date arithmetic (calendrics) is hard.
What resource do you have?
Have you tried: https://maya.nmai.si.edu/calendar/calendar-system
There are videos there on how each calendar works and how to use it -- each one of the three is considered as a calendar on its own.

Plus, I'm not sure how mathematical this question is, but let's leave it here in this forum.
 
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I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...

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